On the perception of “segmental intonation”: F0 context effects on sibilant identification in German

In normal modally voiced utterances, voiceless fricatives like [s], [ ʃ ], [f], and [x] vary such that their aperiodic pitch impressions mirror the pitch level of the adjacent F0 contour. For instance, if the F0 contour creates a high or low pitch context, then the aperiodic pitch impression of the fricative in this context will also be high or low. This context-matching effect has been termed “ segmental intonation ” . While there is accumulating evidence for segmental intonation in speech production, less is known about if and how segmental intonation is actually integrated in the perception of utterance tunes. This question is addressed here in a perception experiment in which listeners identified target words ending in either [ ʃ ] or [s]. The two sibilants inherently create low or high aperiodic pitch impressions in listeners due to their characteristically different spectral energy distributions. The sibilants were preceded by high or low F0 contexts in the target words. Results show a clear F0-context effect. The context effect triggered more [ ʃ ] identifications in high-F0 and/or more [s] identifications in low-F0 contexts. The effect was larger for sibilants that were less clearly identifiable as either / ʃ / or /s/. The effect represents strong supporting evidence that listeners in fact perceive the segmental intonation of fricatives and integrate its aperiodic pitch with the F0-based pitch when perceiving utterance intonation. Thus, the term “ segmental intonation ” is perceptually appropriate. Furthermore, the results are discussed with respect to reaction-time measurements and an additional effect of the quality of the adjacent vowel phoneme on sibilant identification.


Background: the notion of "segmental intonation"
Studying intonation, be it for phonological or technical purposes, focuses on the primary acoustic correlate of perceived pitch: the fundamental frequency (F0). This focus on F0 is, of course, well justified and allowed speech scientists of the past decades to accumulate considerable knowledge of the syntagmatic structure of intonational tunes and the forms and functions of melodic elements at each structural position in the syntagma (for German, cf. [1][2][3][4][5]).
However, focussing on F0 alone ignores that noise segments in speech can in principle also convey pitch, more specifically, aperiodic pitch impressions. The speech signal that we transmit is, roughly speaking, a combination (or, more specifically, a multiplication) of source and filter characteristics [6]. Voiceless segments in speech lack a periodic phonatory source. But, many of these voiceless segments have a noise source instead. In speech, we call these noise-excitated sound segments "voiceless fricatives". Their noise is created somewhere within the speech production apparatus and hence also subject to vocaltract filtering, primarily based on the resonance cavities that follow in the direction of the airflow after the noise excitation [6]. Just like for vowels or sonorants, this noisesource filtering gives voiceless fricatives at each place of articulation, a specific resonance pattern. It shapes the corresponding fricative's spectral energy distribution and creates a characteristic formant structure. As is stressed by Johnson [6], "The spectrum of turbulent noise normally seen in fricatives is not completely flat". Particularly sibilants, i.e. the research subject of the present study, "have very pronounced spectral peaks" [7].
The crucial point with these non-flat spectra or formant structures is now that they also contribute to our perception of pitch, as was shown, for example, in studies on intrinsic pitch in speech and other studies with more psychoacoustic stimuli [8]. For voiceless fricatives, the formant pattern determines our aperiodic pitch impression. Traunmüller [9], for example, termed the aperiodic pitch impression of fricatives "sibilant pitch". Based on a series of psychoacoustic experiments, he developed a method for quantifying sibilant pitch in terms of a weighted combination of acoustic energy in different frequency bands. Roughly speaking, the sibilant pitch perceived for voiceless front vowels (i.e. variants of the voiceless fricative [h]) is determined by the vowels' second formant frequency (F2) and subsequent higher formants in the spectral energy pattern. For voiceless back vowels, it is mainly the first formant frequency (F1) that determines the sibilant pitch evoked by the vowel. These findings are in agreement with Thomas [10] who already pointed out, on an auditory basis, the close correlation between formant frequencies (F2 in particular) of voiceless vowels and their aperiodic pitch impression. Later, Higashikawa [11] and Higashikawa and Minifie [12] added to this picture that sibilant pitch perception-or "whisper pitch" in the terminology of Higashikawa and colleagues-is independent of the listener's linguistic or phonological background and that simultaneous changes in F1 and higher formants like F2 are more effective in changing sibilant pitch than changes in F1 or F2 alone.
The notions of "sibilant pitch" or "whisper pitch" raise the question of whether speakers make use of this perceptual phenomenon in speech communication by systematically changing the spectral energy distribution of the speech sounds they produce. The obvious starting point for addressing this question is whispered speech, i.e. voiceless speech with a continuous noise excitation. Both production and perception studies on whispered speech presented largely converging evidence for systematic changes in the spectral energy distribution such that the resulting aperiodic pitch contour still allows listeners to reliably identify all those communicative meanings and functions that would otherwise be encoded in F0-based intonation and/or tone patterns (cf. [13][14][15][16][17][18][19]93]; see [20,21] for exceptions).
While the studies above leave hardly any doubt that speakers can in principle control and vary aperiodic pitch impressions of voiceless sound sections in speech production and that they actually do so in whispered speech, it seems to be a common-either implicit or explicit-assumption (not only in studies on whispered speech) that controlling aperiodic pitch impressions becomes irrelevant for speakers as soon as F0 information is available. Also, the study of Coleman et al. [93] whose hypothesis (H1) and results stress the similarities in the pitch control of normal and whispered speech did not include and analyze a mixed condition in which unvoiced sounds are produced in combination with voiced sounds. In other words, it is typically assumed or at least not explicitly questioned that voiceless fricative sounds like [f], [s], [ʃ], and [x] make no separate contribution to the pitch contour in all regular everyday utterances with modally voiced vowels and sonorants. This would mean that the aperiodic pitch impressions of voiceless fricatives either remain approximately constant for each fricative and speaker or that they vary randomly across different contexts, particularly those contexts of intonation and tone. This is quite an assumption given that (a) about 25% of the speech signal in, for example, English everyday conversation is voiceless, that (b) almost half of this percentage is due to voiceless fricatives [22], and that (c) languages have more voiceless fricatives than voiceless stops (according to the UPSID database, [23]).
Challenging the assumption that the aperiodic pitch impressions of voiceless fricatives are irrelevant in all but whispered utterances, Niebuhr [24][25][26] analyzed postaspiration noises, i.e. [_ h ] after /t/, as well as the voiceless fricatives [f], [ʃ], and [x] in modally voiced utterances of German read speech. He took spectral measurements like the average center-of-gravity (CoG) that are more holistically oriented and hence easier and more reliable to apply than measurements of individual formants or frequency ranges, but still reflect the known parameter changes of "sibilant pitch" or "whisper pitch". The results of the acoustic analyses led to the clear conclusion that fricative segments do show systematic variation as to their aperiodic pitch impression, also in regular, modally voiced utterances. This conclusion was recently supported by Heeren [27] who found for VCV syllable productions of Dutch speakers that "the acoustic correlates of fricatives […] are systematically varied" in both "whispered and normal speech" (p. 3427).
In addition, Niebuhr [26] found this variation to be related to the adjacent F0 context: "the spectral properties of [voiceless] segments vary in different F0 contexts in such a way that the pitch impressions caused by these segments can support the signalling of intonational forms and functions" (p. 21). An example of this phenomenon is provided in Fig. 1a, b. They show the German utterance "nur hundert Schuss" (only hundred shot), realized with (a) statement and (b) question tunes. The utterance-final pitch-accented target word "Schuss" (shot) is framed by two voiceless fricatives, [ʃ] and [s]. In the right panel (b), the word "Schuss" is associated with a low pitch accent, followed by a high edge tone. Thus, F0 falls into the accented short vowel [ʊ] and then changes into a steep rise that continues until the end of voicing. The opposite intonational pattern spans the word "Schuss" in panel (a).
The voiceless fricatives surrounding the [ʊ] interrupt F0. But, at the same time, they mirror the F0 context in which they occur: Compared to the high pitch-accent context in Fig. 1a, the word-initial [ʃ] in the low pitchaccent context of Fig. 1b has a lower spectral energy boundary (i.e. that frequency along the ascending y-axis at which the first significant increase in acoustic noise energy can be observed) and much more noise energy at lower spectral frequencies. In consequence, [ʃ] creates a lower aperiodic pitch impression in the low pitch-accent than in the high pitch-accent context. Likewise, the final [s] sounds higher pitched in the high edge-tone condition (b) than in the low edge-tone condition (a), due to the fact that the [s] in (b) has a higher lower spectral energy boundary and shows more noise energy at higher spectral frequencies than the [s] in (a).
Niebuhr [25] introduced the term "segmental intonation" to refer to this parallel between the pitch impressions caused by fricative segments and their adjacent F0 contexts. While the studies of Niebuhr [24] and [25] addressed segmental intonation only utterance-finally, Niebuhr et al. [28] found segmental intonation also in utterance-medial F0 contexts.
The phenomenon of segmental intonation has recently been replicated for other phonological F0 contexts of German [29] as well as for other languages like Polish [30] and Dutch [27]. However, for some languages and intonational or tonal embeddings, studies failed to find segmental intonation, which is one of the reasons why a general articulatory mechanism of pitch change, such as a shift in larynx height (cf. Coleman et al. [93]), is not a likely explanation for the parallel between the pitch impressions of fricatives and their adjacent F0 contexts. At least, it cannot be the only explanation. Further evidence that argues against larynx height as the underlying source of segmental intonation is the mere order of magnitude of the phenomenon. The acoustic changes associated with segmental intonation are much larger (formants move upward or downward by up to 66%) than those that would be expected from F0-related shifts in larynx height. These shifts contract or expand a speaker's vocal tract and the corresponding resonance cavities by about 2% (Coleman et al. 2002). The acoustic changes triggered by the F0 context also do not affect all formants at all points in time in the same way (e.g. in the same direction) as it would be the case if segmental intonation was caused by a F0-related shift in larynx height. Furthermore, Niebuhr [25] and Niebuhr et al. [28] report that the articulatory changes associated with segmental intonation also involve changes in a fricative's place of articulation, rounding or spreading (de-rounding) of lips, and even changes in post-lexical assimilation patterns in favour of those fricatives whose aperiodic pitch impressions match with the adjacent F0 context. These findings suggest that segmental intonation is based on or at least strongly shaped by an extrinsically controlled articulatory change that adjusts of a fricative's aperiodic pitch to the F0 context.
While the phenomenon of segmental intonation is more and more substantiated at the level of production, Fig. 1 Waveform, spectrogram, and F0 contour of "nur hundert Schuss" (only hundred shots), produced naturally by a female speakers (DT) as a statement (a) and as a question (b). The production differences in the final word "Schuss" concern both the nuclear F0 pattern and its fricative frame constituted by the sibilants [ʃ] and [s] we still know little about how it affects speech communication at the level of perception. The present study is to shed more light on this issue.
1.2 Question and aim: the perception of "segmental intonation" Niebuhr [24] and Kohler [31] found that segmental intonation interacts with pitch-accent meanings. They used two sets of stimuli. One set consisted of naturally produced utterances whose final high-rising or lowfalling intonation contours were followed by either voiceless alveolar sibilants [s] or postaspirated stops [t h ]. For the other stimulus set, they interchanged the sibilants or postaspiration noises of the high-F0 and low-F0 contexts. Listeners judged the meanings of the nuclear (phrase-final) intonation contours in the two stimulus sets by means of a semantic differential. The results of both experiments showed that the semantic profiles of intonational meanings were less clear-cut in the interchanged conditions in which the segmental intonations mismatched with their F0 context.
Mixdorff et al. [32,33] conducted a series of perception experiments in which listeners compared the prominence levels of disyllabic words whose prominencecausing F0 contours were interrupted by voiceless sound segments. The result of these discrimination tests was that listeners perceived higher prominence levels in those words in which the interruption concerned F0 slopes rather than F0 peaks and in which the interruptor was a voiceless fricative rather than voiceless stop. Mixdorff et al. concluded on this basis that, unlike the silence of stops, the noise of fricatives enables listeners to perceptually fill-in or restore missing F0, except when the missing F0 requires listeners to extrapolate phonologically relevant tonal targets like peaks and valleys. Furthermore, Mixdorff et al. speculate that the segmental intonation of fricatives could be one reason why utterance tunes appear "subjectively continuous" ( [34]; 275), despite the considerable number and duration of F0 gaps in the acoustic signal.
Additional empirical support for the findings and conclusions of Mixdorff et al. was recently provided by Welby and Niebuhr [35]. Their study made use of the fact that the location of low-pitched F0 elbows, which may or may not be masked by voiceless sound segments, indicates word-boundary locations and is hence relevant for lexicalidentification processes in French. Thus, Welby and Niebuhr were able to investigate how listeners treat F0 gaps of stops and fricatives simply by asking them to identify word sequences instead of letting them rate relative word prominences. Based on this straightforward wordidentification task, Welby and Niebuhr found that the identification rate of French words decreased in comparison to a reference set of fully sonorous words when voiceless obstruents masked the F0 elbow that disambiguates the word-boundary position in pairs like "l'appel" and "la pelle". However, and this is the crucial point here, the decrease in word-identification rate was significantly greater for voiceless plosives than for voiceless fricatives (e.g., "l'affiche" vs. "la fiche"). It was ruled out by the selection of similarly common target words that these differences, particularly that between voiceless plosives and voiceless fricatives, could have emerged as a mere experimental artefact of lexical frequency. On this basis, Welby and Niebuhr concluded that French native listeners were to some degree able to reconstruct and perceive the lowpitched F0 elbow through the fricative noise, but not through the silence of a plosive.
In summary, previous studies gathered converging cross-linguistic evidence that listeners can perceive the variation in the sound quality of fricatives that is caused by the F0 context and for which Niebuhr [25] introduced the term "segmentation intonation". There is also evidence that listeners in some way relate the sound qualities of fricatives to the F0 context and that creating this relation allows them to (better) perceive intonational meanings or process and perceive noise gaps differently from silent gaps.
The crucial point is that what has not been shown so far is that listeners perceive the variation in the sound quality of fricatives directly as a variation in aperiodic pitch. The only evidence that listeners can perceive the variation in the sound quality of fricatives literally as "segmental intonation" comes from the study of Heeren [27]. She found in a discrimination task that listeners were reliably able to identify whether a fricative ([s] or [f]) was produced by speakers in combination with a high or a low tonal target, no matter if the fricative was extracted from whispered speech or a normally voiced utterance. Although this is a valuable initial insight, it is hard to evaluate to what extent Heeren's setup, i.e. isolated fricatives in a discrimination task, allows conclusions about real speech perception; more importantly, she directly asked her listeners to rate the fricative stimuli as either higher-pitched or lower-pitched. Thus, it is unclear if listeners would have also perceived the different fricative qualities in terms of aperiodic pitch impressions if they were not explicitly asked to do so.
For this reason, it is the aim of the present study to build upon the research of Heeren [27] and address the question whether the relation that is obviously established by listeners between a voiceless fricative and its F0 context is actually one of perceived pitch. In other words, do listeners perceive the F0-related variation in the sound quality of fricatives literally as "segmental intonation", i.e. as a variation in aperiodic pitch, even when they are not explicitly instructed to do so?

Approach and hypotheses
The experimental approach used in the present study is inspired by the feature-parsing model of Gow [36] and the work of, for example, Ohala and Feder [37], Fowler et al. [38], Harrington et al. [39], and Kleber et al. [40] on the perceptual compensation of coarticulation. The basic idea behind this approach is the following: If listeners interpret a certain aspect of a sound segment as being due to an external factor, then they "subtract" this aspect from the sound segment when identifying its phoneme category. For example, if listeners interpret a certain proportion of the formant-frequency level of a vowel as being due to coarticulation with the adjacent consonantal or vocalic context, then they "subtract" this proportion from the formant-frequency level before they use the F1-F2 pattern to identify the vowel's phoneme category. The subtracted proportion is then, however, not treated as cognitive waste. Rather, it is reassigned and included as a further acoustic cue or element in the perception of the sound or event that caused the coarticulation. For this reason, "parsing" is another frequent terminological metaphor that is used next to "subtraction".
Harrington et al. [39] found that increased F2 values can still trigger /u/ (rather than /i/) identifications if these increases were attributable by listeners to the high F2 level of an adjacent alveolar consonant. Similarly, but in the opposite direction, Kleber et al. [40] found lowered F2 values to still trigger /ʊ/ (rather than /ɪ/) identifications, if this lowering was attributable by listeners to the low F2 level of a subsequent back vowel. To sum up in the words of Ohala and Feder [37]: "There is, in fact, abundant evidence, both from perceptual experiments as well as phonology […], that listeners identify speech sounds in part by normalizing them with respect to their phonetic context".
The perceptual compensation of coarticulation is one of the many manifestations of an evolutionary essential top-down mechanism in our brain (cf. [41]; note that 'mechanism' is used here in a generic sense, i.e. there may well be different subtypes of this mechanism for different stimuli and modalities): The world consists of meaningful objects or categories. These objects or categories do not manifest themselves in the same way all the time. They vary constantly in different contexts. If we want to survive and succeed in such a world, then we need some kind of cleaning procedure that is able free meaningful objects or categories from their contextual contamination and thus stabilize our perception of these objects or categories. For example, red is often a warning color in nature. Red berries and mushrooms can be toxic. However, the spectral energy pattern of the color red, which reaches our eye as a visual stimulus, is different in the light of the midday sun than it is in the shadow or in the light of the rising or setting sun. This context effect on the spectral energy pattern of the color red must be removed if we want to protect ourselves consistently from eating potentially dangerous food. Likewise, in loud environments, the Lombard effect [42] changes the speech pattern of a person and makes it in many acoustic parameters (F0, speaking rate, spectral tilt, voice quality) very similar to the characteristic settings of anger or rage [43]. We are geared to identify speakers who are angry or in a rage as a potential threat. So, if we do not want to accidentally kill someone who actually could be an ally in our struggle for survival or if do not want ourselves to be killed by someone who we talk to in a loud environment, then it is better for us and our interlocutor to be able to "subtract" the noiseinduced Lombard changes again from the speech signal before we interpret it under adverse listening conditions. The subtracted information is then free to be reassigned and used otherwise in perception, for example, for phoneme identification. A well-established example for this reassignment is the F0 micro-perturbation by consonants. This micro-perturbation is perceptually subtracted from the F0 course and, thus, not perceived at the level of intonation. Instead, it is reassigned and used for distinguishing voiced and voiceless consonants at the segmental level [94].
The subtraction principle as a manifestation of a general (type of ) object or category stabilizer in our brain is also made use of in the present study and applied to the two German voiceless sibilant fricatives [ʃ] and [s]. The acoustic characteristics of the two sibilant fricatives and their relative differences have been analyzed in great detail in many previous studies (e.g., [28,[44][45][46][47][48][49][50][51]). Due to its lower spectral energy boundary and its high acousticenergy concentration at mid frequencies of about 3-4 kHz, [ʃ] creates an inherently "dark" aperiodic pitch impression. This low-pitched impression is further enhanced by the fact that [ʃ] is produced with pronounced lip rounding in German [52]. In contrast, [s] is produced without lip rounding. Its lower spectral energy boundary is at least 1 kHz higher than that of [ʃ], and its acoustic energy is mainly bundled at frequencies higher than 5 kHz, typically at about 6-9 kHz. Thus, [s] creates an inherently "bright", i.e. high-pitched impression.
So, if [s] occurs in a high-F0 context, for example, after a high-rising phrase-final intonation, and if listeners interpret a part of the high aperiodic pitch impression of [s] as belonging to the high-F0 context, then they will "subtract" this part from the fricative. In consequence, [s] segments in high-F0 context will become more [ʃ]like, see the illustration in Fig. 2. The same perceptual process should also occur in the opposite direction. That is, if [ʃ] occurs in a low-F0 context, for example, after a low-falling phrase-final intonation, and if listeners interpret a part of the low aperiodic pitch impression of [ʃ] as belonging to the low-F0 context, then they will "subtract" this part from the fricative. In consequence, [ An acoustic [ʃ]-to-[s] continuum-attached to the ends of minimal-pair target words-is used to test this assumption. The decisive advantage of the applied experimental method (which is described in detail in the "Method" section) is that it allows us to gain insights into the perception of segmental intonation by means of a simple and natural word-identification task, i.e. without forcing the listeners into any laboratory exercises or giving them any metalinguistic or explicitly pitch-related instructions. Moreover, evidence in favour of the described subtractions would additionally suggest (in terms of the reassignment of subtracted information) that listeners include the subtracted parts of the sibilants' aperiodic pitch impressions in their perception of that domain of the speech signal that caused the sibilants' contextual variation: the F0 or intonation contour.
On this basis, the following hypotheses are tested: 1. There are a number of previous studies whose results have shown that the identification of fricative phonemes like /ʃ/ and /s/ is basically affected by context or signalexternal factors like adjacent vowels, speaker gender, visual cues, and even perceived sexual orientation [53][54][55]. The present study contributes to this research area insofar as it addresses a further context factor: intonation. However, the present study is not within the same line of research. It is not the primary aim of the study to advance our understanding of the context-dependent perceptual distinction of phonemic fricative contrasts. Rather, the identification of fricative phonemes is merely used here as a means towards testing whether speakers Fig. 2 Schematic illustration of the "subtraction" idea and the corresponding top-down cognitive speech processing mechanism that underlie the hypotheses 2 (a) and (b) and 3 of the present study. See, e.g. Ohala and Feder [37], Harrington et al. [39], and Kleber et al. [40] for related work and findings on the perceptual compensation of coarticulation are sensitive to the aperiodic pitch impressions of fricatives and relate them to the F0 context in normally voiced utterances.

The sibilant continuum
The basis of the perception experiment was a sibilant continuum. Its endpoints as well as all intermediate realizations were produced naturally by a trained female phonetician, SB. She produced several hundred isolated sibilants, while varying the following: The place of articulation and tongue shape from apical narrow-grooved alveolar to wide-grooved laminal postalveolar The degree of lip rounding from protruded and rounded to strongly spread lips (cf. [52], for a description of sibilant articulation in German).
SB's productions were recorded digitally at 48 kHz, 24bit, in a sound-treated recording booth at Kiel University.
In a subsequent step, SB and the author together selected 14 sibilants on an auditory basis and arranged them to a continuum from a clear [ʃ] starting point through 10 auditorily similarly sized steps to a clear [s] endpoint. Soundness and integrity of the auditorily assembled sibilant continuum were checked by two independent measures.
First, we measured the average center-of-gravity (CoG) values of each of the sibilants within a frequency range from 1 to 20 kHz. As is shown in Table 1, the acoustic measurements support the auditory selection. CoG values consistently increase throughout the continuum. Moreover, the individual CoG increases between adjacent sibilants in the continuum are all in the same order of magnitude, i.e. between about 600 to 800 Hz. Overall, the CoG values cover a frequency range of 8-9 kHz, which is in the same order to magnitude as for the sibilant continuum described in Boersma and Hamann [56]. Furthermore, all sibilants had about the same overall duration of about 350 ms. There were small differences in overall duration of <10%, i.e. between 10 and 20 ms. However, such small differences fall below the perceptual difference limen, which is, for stimulus durations of 300 ms and more, at about 25-30 ms according to empirically based estimations of Lehiste [57] or Klatt and Cooper [58]. Other studies refer to the perceptual difference limen as the just noticeable difference (JND), cf. Huggins [59]. The threshold value reported by Huggins is in the same order of magnitude as those of Lehiste [57] and Klatt and Cooper [58]. In addition, Huggins stresses that the threshold (JND) is even higher for changes in consonant than in vowel duration. This lends further support to the assumption that participants of the present experiment were unable to perceive the small duration differences between the individual sibilants of the arranged sibilant continuum.
The acoustic-energy levels of all 14 sibilants were normalized to 30% of the maximum signal amplitude using Abode Audition (http://www.adobe.com/de/products/ audition.html). This was to level out naturally produced acoustic-energy differences (that could have an uncontrolled effect on aperiodic pitch perception, cf. [60]). In addition, it ensured that all sibilants could be seamlessly integrated into the final stimulus utterances.
Second, soundness and integrity of the sibilant continuum were additionally tested in a perception experiment, using the established combination of 2AFC phoneme identification and AXB discrimination tasks that are well known from categorical speech perception (cf. [61], and [62], for summarizes of this experimental paradigm). The AXB test was preferred over the "prototypical ABX discrimination test" ( [63]; 364) as studies comparing various discrimination tasks showed that the AXB variant represents an "economic variant of 4IAX" in which listeners are particularly sensitive to stimulus differences [63,64]. In addition, unlike the ABX design, the AXB design allows listeners to perceive and judge X in immediate adjacency to both A and B. This avoids the well known and empirically supported issue of ABX tests that listeners compare "only B and X" ( [65]; 42) and largely disregard A.
Ten untrained native speakers of Northern Standard German (seven females and three males, between 20 and 30 years old) took part in the perception experiment. The phoneme identification test presented each of the 14 sibilants five times in an overall randomized order. The listeners were to classify the 70 sibilants with reference to their corresponding German graphemes as either The numbers in brackets refer to the sibilant and stimulus numbers in the actual experiment <s> or <sch>, the latter being the grapheme sequence of [ʃ]. In the AXB task, A and B were represented by the two endpoints of the continuum, i.e. sibilants 1 and 14 in Table 1. The X slot was filled by all 14 sibilants. Thus, we also included AAB and ABB triplets. Listeners were to decide whether X was more similar to A or B. All AXB triplets were presented ten times, five times with A = sibilant 1 and B = sibilant 14, and five times with the inverted reference frame, i.e. A = sibilant 14 and B = sibilant 1. The total 140 triplets were presented-with one half-time break-also in an overall randomized order.
Half of the ten listeners started with the phoneme identification task, the other half with the AXB discrimination task. Judgments as well as reaction times were recorded. The experiments were conducted by means of PRAAT-MFC scripts (cf. [66]) on individual desktop PCs (using PRAAT v5.4, cf. [67], see also http://www.fon.hum.uva.nl/praat/). Listeners wore HiFi headphones and judged the stimuli at a constant, pre-adjusted loudness level in a silent, sound-treated lecture room at Kiel University. Note that conducting the experiment on different desktop PCs did not introduce any variability into the reaction-time measurements, not least because the same PRAAT version (5.4) was used on all computers.
The results of the experiment are summarized in Fig.  3a [68]. Reaction times are higher in the phoneme transition section than in the two sections of clear phoneme identification. The discrimination results in Fig. 3b are consistent with the identification results. That is, the change in the discriminative comparison of X with A and B occurs for the same center stimuli (6-9) as the change in identification; and like the latter, the change in discrimination is also unidirectional and coincides with a clear increase in reaction times.
In summary, the experiments clearly agree with the acoustic CoG measurements and provide strong additional evidence for the soundness and integrity of the sibilant continuum. That is, the two endpoints of the continuum are unambiguous instances of [ʃ] (stimulus 1) and [s] (stimulus 14). The stimuli in between produced a unidirectional change from [ʃ] to [s]. Unidirectionality is important, as it proves that the consistent acoustic continuum embodies consistent auditory and behavioral changes. The change from [ʃ] to [s] is gradual in the acoustic domain and to a certain extent more abrupt in the perceptual domain. Note that it is irrelevant for the present study and beyond the question addressed here, whether or not the perceptual [ʃ]-to-[s] transition in the sibilant continuum can actually be considered categorical. Hypothesis 2 (b) only required determining a phoneme boundary. We defined this boundary as the 50% crossing in the identification results, which is the standard criterion in psychophonetic studies (cf. [40,62,[69][70][71]). Based on this criterion, and for the sibilants presented in isolation, the phoneme boundary from [ʃ] to [s] was located somewhere between stimuli 8 and 9 in the continuum.
The section with the more ambiguously identified sibilants of the 14-step continuum extends approximately from stimuli 6-9. With reference to hypothesis 3, we expected that this section of the continuum would be primarily relevant for an effect of the F0 context on sibilant Fig. 3 Results of the identification test (a) and discrimination test (b) pooled across all ten listeners and five stimulus repetitions. Bars indicate percentages, solid lines show mean reaction times. Each value in a represents 50 responses and each value in b 100 responses (due to five repetitions in the AXB and BXA order). The numbers in brackets refer to the sibilant and stimulus numbers in the actual experiment identification. For this reason, we decided to maintain this critical section, but to downsize the continuum outside this section by two steps/sibilants, in order to reduce the number of stimuli in the main experiment. The first and last two sibilants of the continuum, i.e. sibilants 1-2 and 13-14, were removed, as sibilants 3 and 12 proved to be equally clear representatives of [s] and [ʃ] in the identification test. Figure 4a displays the final 10-step sibilant continuum in terms of the individual sibilants' spectrograms. The spectral patterns of the new endpoints 1 and 10 of the continuum (i.e. the original sibilants 3 and 12, see Table 1) are depicted in more detail in Fig. 4b in the form of spectrograms (upper panel) and average spectra with a frequency range from 0 to 20,000 Hz. The acoustic-energy distributions and ranges in Fig. 4b

Stimulus generation 2.2.1 Sentences and their F0 manipulation
The stimulus utterances consist of three pairs of syntactically marked question sentences that were also produced by the female speaker SB. The sentences are listed in Table  2. They contained monosyllabic target words in sentencefinal position. These words-all of them nouns-differed in two ways. First, they formed minimal pairs, which ended in either [ʃ] or [s]. Second, the sibilants were preceded by one of three different phonologically short vowels, i.e. [ı], [a], or [ʊ]. We used short vowels, as they leave less room for F0 movements than long vowels. The idea was that shorter F0-based pitch sections in combination with probably stronger truncations of F0 movements by the target sibilants (cf. [24,72]) would create ideal conditions for perceiving and processing the aperiodic pitch impressions of the target sibilants in terms of hypothesis 2 (a) and (b).
All target words are common words and part of the active vocabulary of native speakers of Northern Standard German; although, they occur with different frequencies in everyday conversations. For example, Fisch, Pass, and Bus are among the 10,000 most frequent German words, whereas Viss, Pasch, and Busch are not [73]. However, note that these frequency differences could, if at all, only cause a bias (cf. [74]) in the form of differences between the individual sentence pairs (i.e. vowel quality conditions). The decisive F0 context effects on target-word identification within each sentence pair are neither suppressed nor in other ways affected by word-frequency differences. Therefore, we can ignore the factor word frequency for the purposes of the present study. SB produced the 3 × 2 sentences with a phonologically constant intonation pattern. It consisted of a prenuclear high-tone pitch accent on the sentence-initial verb, followed by a slightly dipped F0 transition that led over to a nuclear high-tone pitch accent on the sentence-final  Fig. 5a, b. This mid-level intonation was important to avoid resynthesis artefacts in the subsequent PSOLA-based F0 manipulation by which the naturally produced sentences were turned into the final experimental stimuli. The F0 manipulation was conducted in with PRAAT (version 5.4; cf. [67], see also http://www.fon.hum.uva.nl/praat/) in two successive steps.
In the first step, the naturally produced sentence intonations were replaced by two diametrically opposed tunes, stylized at eight contour points. Both tunes are equally compatible with syntactically marked questions in German. They just change the attitudinal meaning of the question (cf. [75]).
As is illustrated by the "Bus" sentence in Fig. 5a, b, the first part up to the prenuclear accent was left almost unchanged in both created tunes. But then, the tune in (a) continued with a longer, deeper dip towards a low nuclear pitch accent at 188 Hz. The nuclear accent was followed by a steep, high-rising phrase-final intonation. It reached a F0 level of 450 Hz before the sentence-final target sibilant. By contrast, F0 in tune (b) continued to rise after the prenuclear accent, reaching a maximum of 302 Hz right before the target word. From there, F0 changed into a steep fall throughout the target word, first to a level of 170 Hz at the low tonal target of the nuclear pitch accent, and then further through the phrase-final movement to a low terminal level of only 136 Hz before the sentence-final target sibilant.
In summary, the tune in Fig. 5a created a high F0 context before the target sibilant, whereas the tune in Fig.  5b embedded the target sibilant into a low F0 context. All six question sentences in Table 2 were resynthesized with tunes (a) and (b). In the experiment, the tunes constituted the two-level independent variable "F0 Context".

Splicing-in the sibilant continuum
The sentence-final [ʃ] and [s] sibilants were cut off from the resynthesized question sentences. The cutoff point was the onset of frication, which, in all cases, roughly coincided with the end of voicing. That is, we never removed more than 10-20 ms of voicing from the ends of the sentences. Then, the cutoff sibilants were replaced by all 10 sibilants of the sibilant continuum in Fig. 4. The 10 replacements formed the second independent variable "final sibilant". The pairs of sentences differ in the final target word or, more specifically, in the sentence-final sibilant. The experimentally relevant difference between the pairs concerns the short vowel preceding the sibilant. Underlining indicates nuclear pitch accents (solid lines) on the sentence-final target words and prenuclear pitch accents (dashed lines) on the sentence-initial verbs

Stimulus number and independent control variables
The two consecutive steps of the stimulus generation described in sections 2.  [77][78][79]. It should therefore not be ruled out (despite the experimental evidence of [7]) that the original cutoff sibilant creates, through its traces in the preceding vowel, a bias that pushes or pulls sibilant identification in the created stimuli towards the cut off /s/ or /ʃ/ phoneme. So, in order to properly represent and interpret listeners' responses and separate the effects of the two key independent variables final sibilant and F0 context from those of the two context factors above, the context factors were included in the statistical analysis of the perception data as control variables. "Vowel quality" was a three-level and "original sibilant" a two-level independent variable.

Conducting the experiment
The experiment was conducted on the basis of a PRAAT-MFC script (written by SB). It played each of the 120 stimuli three times in an overall randomized order, avoiding stimulus doublets. The randomization was different for each participant. Participants had the possibility to take a break after the 120th and the 240th stimulus.
The participants were 30 native speakers of Northern Standard German, 17 females and 13 males. They were between 19 and 23 years old and early-stage Bachelor students of Empirical Linguistics at Kiel University without any known hearing or speaking disorders. The earlystage Bachelor students were naive insofar as none them had taken part in a perception experiment before nor had anyone of them enrolled for lectures in prosody or speech acoustics.
The participants conducted the experiment on individual desktop PCs in a sound-treated lecture room at Kiel University. They listened to the stimuli via HiFi headphones at individual paces. The participants' task was simply to listen carefully to each of the stimuli and specify afterwards which word they had heard at the ends of the question sentences. They were informed that the sentence-final words would either be Viss or Fisch, Pass or Pasch, or Bus or Busch. Judgments were made on a 2AFC basis. To that end, each stimulus was presented in combination with two pictures on the PC screen. The two pictures represented the corresponding pair of target words. Figure 6a-c shows the three pairs of pictures that were used. The display in Fig. 6a was presented for all stimuli of vowel quality condition [ɪ]; Fig. 6b was combined with all stimuli of vowel quality condition [a]; and Fig. 6c was used to guide and elicit the listeners' judgments for the stimuli of vowel quality condition [ʊ]. Each display appeared after the end of the acoustic stimulus in order to avoid any cross-modal priming effects (cf. [80]). Participants were asked to click as soon as possible on the picture of the word that they identified in the question sentence or to guess if they were undecided. The order of the pictures shown on the screen was counterbalanced across the 30 participants. That is, for half of the participants, the left pictures showed Viss, Pass, and Bus; and for the other half, they showed Fisch, Pasch, and Busch.
Reaction-time measurements were taken in combination with the word-identification judgments. Like in the continuum-validation experiments before, the use of different desktop PCs did not introduce any variability into the reaction-time measurements of the main experiment.
Conducting the experiment took about 25-30 min, including instructions, breaks, and a short concluding interview. The interview was based on a questionnaire that each participant was asked to fill out.

Questionnaires
As regards the questionnaires, all but three participants assumed the stimuli to be naturally produced speech, without any manipulation. The other three participants did also not stumble upon any manipulation artefacts in the stimuli or the stimuli's quality in general. They judged the stimuli to be naturally sounding, but additionally stated that the stimuli were, in their ears, too uniform to be unmodified. The average naturalness score of the stimuli on a five-point scale from "artificial non-human-like speech" (1) to "natural everyday speech" (5) was 4.1. Furthermore, all participants rated the task either as "easy" or "very easy" on a five-point scale from "very difficult" (1) to "very easy" (5). The average score was 4.3. Both the perceived naturalness of the stimulus sentences and the straightforward applicability of sour task underpin the validity and reliability of the actual response data, the results of which are summarized below.

Word-identification judgments
The categorical response data were statistically analyzed by means of a binomial logistic regression analysis (cf. [81]). It was conducted using the lme4 package in R [82]. The link function was logit. The logistic regression analysis was based on the four fixed effects F0 context (reference: low F0), final sibilant (continuous variable), vowel quality (reference: [a]), and original sibilant (reference: [ʃ]). Participants were included as a random-effects variable. The dependent (predictor) variable was the identification of the target words as ending in either [ʃ] or [s] per participant, stimulus, and stimulus repetition. Note that it was considered very unlikely that stimulus repetition would have a separate significant main effect on target-word identification, as the stimuli were presented to participants in individually randomized orders. Yet, following the suggestion of one of our reviewers, we conducted a further logistic regression analysis, this time with stimulus repetition included as a separate fixed effect. As was expected, this further analysis yielded no significant main effect of stimulus repetition (coeff. estimate (β) = 0.03, Std. error = 0.05, z value = 0.74, p = 0.458). The model's AIC was also slightly higher (3480.4) than for the model without stimulus repetition as a separate fixed factor. Furthermore, an analysis that included stimulus repetition in random slope per participant did not converge. Therefore, our results summary in Table 3 is based on the logistic regression analysis without stimulus repetition as a separate predictor.
The logistic regression analysis yielded highly significant main effects of the two main predictors F0 context and final sibilant. Moreover, there was a significant main effect of the control predictor vowel quality. The reference vowel [a] differed from both [ɪ] and [ʊ], with the former difference being slightly stronger than the latter (see βs in Table 3). The other control predictor, original sibilant, did not reach significance. In addition to the significant main effects, there were two significant two-way interactions; a weaker one between final sibilant and vowel quality (
Further details of the overall results pattern are displayed in Fig. 7a-c. The three figures show the percentages of [ʃ] identification, i.e. of (a) Fisch, (b) Pasch, and (c) Busch identification, respectively. The non-significant factor original sibilant was omitted, and the responses for its two factor levels were conflated in the figures. The resulting response frequencies were pooled across all participants and stimulus repetitions. Thus, each light and dark gray bar in Fig. 7a-c represents 180 judgments.
The black dotted lines show that the significant main effect of final sibilant manifests itself in all three panels of Fig. 7 as a change from clear [ʃ] to [s] identifications (e.g. from Busch to Bus) through a short transition section of more ambiguous sibilant identifications. This tripartition of the sibilant continuum into two perceptually steady parts and a transition part is supported by additional inferential statistics. Multiple paired sample t tests were carried out to compare the frequency of [ʃ] responses between all neighboring sibilants (i.e. adjacent steps in the sibilant continuum) in each vowel quality condition (i.e. for each panel of Fig. 7); [ʃ] responses were pooled across the three stimulus repetitions and the two original sibilant conditions, and thus varied between 0 and 6 per participant (n = 30) and sibilant number. The t tests' p levels were adjusted according to the Benjamini-Hochberg procedure. All significant differences (i.e. p levels <0.05) in [ʃ] frequency between adjacent steps in the sibilant continuum are restricted to sibilants 3-7. No significant frequency differences between two neighboring sibilants were found among sibilants 1-2 and 8-10.
The main effect of F0 context shows up in Fig. 7a-c as the differences between the light and dark bars in each panel. As can be seen, the dark bars are almost consistently higher than the light bars. That is, the high F0 context condition supported [ʃ] identification and/or the low F0 context condition supported [s] identification in The logistic regression curves calculated for the statistical analyses in Table 3 were further used to determine the exact 50% [ʃ]-[s] phoneme boundary in the two F0 context conditions and hence the extent to which the F0 context was able to shift this boundary in each vowel quality condition. In other words, we quantified by means of logistic regression the differences between the light and dark gray bars in terms of the 50% phoneme boundary for each panel of Fig. 7. The stimulus located at the 50% boundary would have a probability of 0.5 to be identified as ending in [ʃ] and a probability of 1-0.5 to be identified as ending in [s]. Thus, with β 0 and β 1 being the logistic regression coefficients and with x ¼ − β 0 β 1 . The results of the phoneme boundary estimation are summarized in Table 4. As can be seen, the difference between the high and low F0 context shifted the 50% boundary in the [ʃ]-[s] sibilant continuum on average by about one complete continuum step in all three vowel quality conditions. These boundary shifts are all statistically significant according to paired sample t tests that compared, for each vowel quality, the estimated phoneme boundary locations (in terms of sibilant numbers) of the 30 participants between the two F0 contexts.
The main effect of vowel quality can be observed across the three panels of Fig. 7 That is, all other variables being constant, participants heard more instances of Fisch than of Pasch and more instances of Pasch than of Busch. This vowel-specific perceptual organization of the sibilant continuum also involves a shift of the 50% phoneme boundary. As in the case of the F0 context effect, logistic regression curves were calculated to estimate for each vowel quality condition the exact [ʃ]-to-[s] cross-over point in the sibilant continuum. As is indicated in Fig. 7 Finally, Fig. 7a-c show that both the effect of vowel quality and the effect of F0 context were clearly stronger in the judgment transition section at the center of the sibilant continuum. This fact manifests itself in the significant interactions between final sibilant and vowel quality and final sibilant and F0 context of the logistic regression analysis in Table 3.

Reaction times
In order to supplement the findings on target-word or sibilant identification, the participants' identification judgments were also analyzed with respect to their corresponding reaction times. Prior to conducting any statistical tests on these reaction times, they were normalized such that their measurement consistently started at the onset of the final sibilant, independently of targetsentence and target-word durations. Normalized reaction times ranged from 378 to 2190 ms. The average reaction time across all participants was 721 ms. In addition, skewness and kurtosis of the overall reaction-time distribution were checked, using the moments package of R. The check took into account that previous perception experiments often reported major deviations of reaction time curves from the normal distribution [83]. The values that characterize the reaction-time distribution in the present study clearly differ from zero for both skewness (−0.5) and kurtosis (2.45) and show that the distribution is slightly platykurtic and moderately skewed. However, although skewness and kurtosis are close to the limits for statistical tests that assume normally distributed data, they are both still within the commonly accepted ranges (cf. [84]). On this basis, the reaction-time data were submitted to a linear mixed-effects model using R's lme4 package. Like in the binomial logistic regression analysis of the main judgment data, fixed effects were F0 context, final sibilant, vowel quality, and original sibilant. Stimulus repetition was used as a further fixed effect. Participants were included as a random-effects variable. Degrees-offreedom (df, for effect-specific p value estimation) were computed from the model by means of the conservative Kenward-Roger approximation. The resulting model is summarized in Table 5.
Analogous to the results of the judgment data, the reaction-time analysis yielded significant main effects of final sibilant and F0 context, as well as a significant interaction between them. All other effects and interactions were non-significant. Therefore, the reaction-time results can be related to the sibilant continuum and its key predictors alone, without the need to take into account any of the control predictors.
The effect of final sibilant is due to an increase in reaction times at the center of the sibilant continuum, just as in Fig. 3 above. Furthermore, in the center of the sibilant continuum, reaction times were longer when sibilants predominantly identified as [ʃ] were perceived in a low-F0 context, and when sibilants predominantly identified as [s] were perceived in a high-F0 context. These additional increases in reaction time at the center of the sibilant continuum caused the F0-context effect, and their restriction to the center is responsible for the interaction of final sibilant and F0 context.

Hypotheses
Target-word identification patterns showed that listeners organized the 10-step sibilant continuum into three sections. Sibilants 1-2 were identified as instances of [ʃ] in more than 95% of all target words. Sibilants 8-10 were identified as instances of [s] in about 90% or more of all target words. There were no significant differences between the target word identification frequencies among Target-word identification patterns also included a strong and significant effect of F0 context. This effect was exactly as predicted by hypothesis 2 (a): Sibilants following the high F0 context were more frequently interpreted as [ʃ], whereas sibilants following the low F0 context were more frequently perceived as [s]. An obvious explanation for this effect is that listeners did perceive the aperiodic pitch impressions caused by the sibilants and related them to the F0 context. That is, analogous to the previous findings on the perception of coarticulation and the "subtraction mechanism" sketched in Fig. 2 Following a reviewer's request, we point out in this context that the assumption of a "subtraction mechanism" which underlies speech perception and allows listeners to compensate for variation in sound segments is still compatible with variation-driven sound change. As is stressed by Ohala and Feder [37] and summarized by, for example, Kleber et al. [40], sound changes can occur despite a "subtraction mechanism" due to a misalignment between the production and perception of variation [85]. For example, L2 speakers of a language who are not entirely familiar with the coarticulatory patterns of that language cannot (fully) subtract the corresponding variation and hence still perceive the coarticulatory variation in speech sounds. If this variation is then reproduced, it creates a "minisound change" ( [39]; 2826) that can spread and become conventionalized and phonologized under certain conditions. A further example of a misalignment between production and perception is subtracted phonetic variation that is erroneously reassigned to and perceptually integrated in the wrong speech unit, for example, the adjacent vowel instead of the adjacent consonant. The repeated mispronunciation of this vowel again represents a "minisound change". Furthermore, looking at the many small idiosyncratic differences in sound production and variation, and assuming that each speaker's "subtraction mechanism" is fed by and hence tuned to his/her own production  patterns, it is likely that no speaker is consistently and fully able to subtract the variation in speech sounds coming from a different speaker [40]. Under these circumstances, "minisound changes" and subsequent sound changes are only a matter of frequency, salience, reproducibility, language/group needs, and, perhaps, phonotactics. Hypothesis 2 (b) is also supported by the results. As a further consequence of the F0 context effect described above, the high F0 context additionally caused a significant phoneme boundary shift within the [ʃ]-[s]-continuum in favor of /ʃ/, i.e. the phoneme boundary moved closer to the [s]-end of the continuum. In a low F0 context, the phoneme boundary within the [ʃ]-[s]-continuum was significantly shifted in favor of /s/, i.e. it moved closer to the [ʃ]-end of the continuum. Overall, the F0 context effect was able to shift the boundary by about one step in the sibilant continuum. This may not seem a lot, but it is actually a considerable effect. Note that in languages like German, French, and English, the mean CoG difference between [ʃ] and [s] realizations is about 1500 to 2000 Hz [26,28,[44][45][46][47][48][49][50][51]. One step in the sibilant continuum corresponds to a CoG difference of between 600 and 800 Hz. Thus, in terms of the CoG measure, the present effect of F0 context on sibilant perception and the sibilant boundary /ʃ/ and /s/ is about half as large as the natural difference between [ʃ] and [s] realizations in German and other languages. In fact, according Gordon et al. [46], there even seem to be quite a few languages whose CoG differences between /ʃand /s/ are on average in the same order of magnitude (600-800 Hz) as the F0-induced context effect and boundary shift found in the present study. This includes Gaelic, Hupa, Chickasaw, Western Apache, and a variety of Turkish. However, it might be that the mean differences in the study of Gordon et al. are only smaller than those of Niebuhr and colleagues because they measured CoG in a narrower frequency range. This possibility needs to be checked.
Finally, hypothesis 3 is consistent with the results as well. The F0-context effect was stronger for the sibilants 3-7 from the center of the sibilant continuum than for sibilants 1-2 and 8-10 from both ends of the continuum. This finding shows up statistically in a significant interaction of final sibilant and F0 context. Importantly, the fact that the F0 context effect primarily occurs in the center of the sibilant continuum does not undermine the relevance (external validity) of the present findings. The crucial point from the perspective of the present research question is that the F0 context effect occurred, not where in the continuum it occurred. Moreover, sibilant productions of /ʃ/ and /s/ that are as clearly articulated as those of sibilants 1-2 and 7-10 of the present continuum hardly ever occur in connected (spontaneous or read) speech. With reference to CoG measurements, typical /ʃ/ and /s/ realizations in German as well as in other languages are characterized by CoG values of about 6-7 and 8-9 kHz, respectively (see [25,26,28,29], and the references provided in section 1.3). As can be seen in Table 1, this is exactly the CoG range of stimuli 3-7 for which the observed effects of F0 context were most strongly pronounced.
In conclusion, the results of the present study are in agreement with hypotheses 2 (a) and (b) and 3. As in previous studies of, for example, Niebuhr [24], Kohler [31], Mixdorff et al. [32,33], Heeren [27], and Welby and Niebuhr [35], the data clearly show the perceptual relevance of segmental intonation. Going beyond this basic relevance, evidence is provided here that listeners perceive the variation in the sound quality of fricatives indeed as a variation in aperiodic pitch, even if they were not explicitly asked to do so (i.e., unlike in the study of [27]). Moreover, listeners obviously relate this aperiodic pitch impression to the adjacent F0 context. That is, the variation in aperiodic pitch is not merely functionally interpreted, as is assumed by Kohler [31] with reference to basic ethological concepts like frequency code, effort code, and production code (cf. [86][87][88]). If the listeners' approach to variation in aperiodic pitch was merely functionally oriented, then hypothesis 2 (a) and (b) would have not been confirmed and there would have been no significant F0 context effect at all. However, the opposite is true. The relation that is established by listeners between a voiceless fricative and its F0 context is actually one of perceived pitch. The term "segmental intonation" that was introduced by Niebuhr [25] is perceptually appropriate. Furthermore, taking into account that the results are interpretable in terms of a subtraction of aperiodic pitch from the sibilants, and in view of the solid evidence (e.g. from the micro-perturbation of F0 by consonants, see section 1.3) that the subtracted phonetic substance is reassigned and integrated in the perception of the context factor it stems from, the present results indirectly suggest that the subtracted aperiodic pitch is integrated in the perception of the F0 or intonation contour. Not least for this reason, segmental intonation can well be one part of the explanation why utterance tunes typically appear "subjectively continuous" ( [34]; 275) in the ears of listeners-despite the fact that a considerable percentage of all utterances in speech communication (between 25 and 35% in Western Germanic languages like English and German, cf. [34]) is actually voiceless. The conclusion of the present study also matches with more recent findings of Mixdorff et al. [32,33] and Welby and Niebuhr [35], which all suggest that listeners can fill-in interrupted F0 sections, if the interruption does not manifest itself as complete silence (like for unaspirated stop consonants), but is at least partly filled by fricative noise.

Effects of control variables
The effect of vowel quality is in line with that of previous studies, for example, by Mann and Repp [53] and Clayards et al. [76]. They found that sibilants were less likely to be identified as [ʃ]  contexts. These effects are ascribed to the principle that "perception parallels production" ( [53]; 215): Listeners expect coarticulatory reflections of the vowels in the sibilants and "subtract" these reflections from the perceived sibilant noise before they identify the sibilant phoneme. It is reasonable to assume that such an expectation-driven cognitive process also caused the vowel quality effect of the present study.
In fact, the perception-parallels-production principle and its subtractive effect on phoneme perception is the same that is also assumed here to underlie the F0 context effect-the only exception being that the "segmental intonation" effect in fricative production may not simply be coarticulatory in nature, see the explanations in section 1.1 on larynx height.
In the case of the vowel quality effect, the back and high tongue shape of the /u/ in combination with lip rounding bundles almost all acoustic energy below 1000 Hz and gives this sound its inherently "dark" quality. A part of the tongue and lip constellations for /ʊ/ will also continue into a subsequent [ʃ]; and if listeners expect and subtract this coarticulatory "darkening" from the sibilant, their perception is, in comparison to /a/ contexts, shifted towards /s/. The same explanation can be applied to /a/ contexts in comparison to /ɪ/ contexts.
The perception-parallels-production principle could also have caused an effect of the other control variable: original sibilant. But, such an effect did not materialize. The reason is probably that by cutting off the original sibilant phoneme, we also removed its anticipatory coarticulation pattern in the preceding vowel. It is indeed true and supports the provided explanation that the removal of the original sibilant also removed some part of the vowel formant transitions (including that of F2), which were found to be particularly important for identifying the following sibilant's place of articulation (cf. [53,78,79]). Alternatively (or additionally), it is possible that formant transition residuals of the original sibilant are irrelevant perceptually as long as there is no phonetically closely related neighboring phoneme, i.e. a "spectrally confusable fricative" in the terminology of Wagner et al. [7]. Wagner et al. found that misleading formant transitions created by fricative cross-splicing in pseudowords did not affect the identification rate of /s/ and /ʃ/ for German listeners, because the two fricatives are too different from each other to be spectrally confusable.

Further insights from reaction times
In general, reaction times measured in the present perception experiment were all at a normal low level, for example, with reference to similar 2AFC decision tasks and stimuli in Poeppel et al. [89], Gerrits, [65], Schneider et al. [90], or Cangemi and D'Imperio [91]. This fact lends further support to the conclusion drawn from the questionnaire analysis in section 3.1 that the stimuli's sound quality and naturalness were overall good, and that the task was easy to do for listeners as well as short enough to prevent fatigue (see also the lack of a significant effect of stimulus repetition in the linear mixedeffects model, Table 5).
The effect of the final sibilant on reaction times manifested itself as an increase in the center of the sibilant continuum. This increase is most likely caused by the fact that sibilants in the center, i.e. closer to the phoneme boundary, were more ambiguous as to their perceptual identification as either /s/ or /ʃ/ than sibilants from the periphery of the continuum. Based on this assumption, the reaction-time results provide further evidence in support of hypothesis 3.
More ambiguous instances within a phonemic contrast require longer cognitive processing times than clearer instances, for example, because there are fewer stored exemplars against which these sounds can be matched by listeners, or because listeners have to make a more comprehensive analysis of contextual factors before a specific phonemic interpretation becomes possible. Irrespective of its exact reason, the final-sibilant effect replicated an earlier finding by Chen [92], who argued that reaction-time measurements can basically substitute discrimination judgments in experiments looking for categorical perception. Chen stated that discrimination judgments and reaction-time measurements should be equally suitable to complement identification results in a categorical-perception setting as their data curves are both expected to develop a clear peak value in the area where the identification curve crosses the 50% threshold. Shedding light on this reaction-time-related question could be an interesting task of follow-up studies. Further research perspectives are sketched in the following section.
The effect of F0 context on reaction times, i.e. the additional increase in the center of the sibilant continuum, is probably due to a contextual mismatch. That is, it is assumed that sibilants from the center of the continuum that were identified as /ʃ/ created a too high aperiodic pitch impression to match well with the low F0 context. Likewise, sibilants from the center of the continuum that were identified as /s/ created a too low aperiodic pitch impression to match well with the high F0 context. In other words, the F0 context effect on reaction times is explained by inconsistencies in F0-based and aperiodic pitch perception. In this sense, the effect provides further support for the conclusion that listeners are not just perceptually sensitive to the F0-related variation in the sound quality of fricatives (i.e., to "segmental intonation"). Rather, they treat this variation literally as "segmental intonation" and relate it to the F0 context when perceiving an utterance tune.

Outlook
The participants of our experiment judged the task to be easy and the stimuli to sound natural and free from manipulation artefacts. The decisive effect of F0 context on sibilant identification is highly significant in terms of both lexical judgments and reaction times. Reaction times are overall relatively short, i.e. participants needed on average only about 700 ms to decide whether the stimulus-final target word ended in /ʃ/ or /s/. All these facts imply that our experimental findings can be considered valid and reliable.
Yet, one task of follow-up studies is to test whether the present findings can be replicated for different phonological intonation patterns and hence different F0 contexts as well as for different languages and other types of fricatives than sibilants. A broader empirical basis would substantially underpin the present conclusion that the term "segmental intonation" is phenomenologically appropriate in its literal sense, i.e. that it denotes a direct contribution of the aperiodic pitch impressions of noise segments in speech (voiceless fricatives as well as postaspiration sections after voiceless plosives) to the perceived pitch contour of utterances.
Creating a broader and more solid empirical basis could also include the use of synthesized fricative continua (or synthesized speech in general) in which the stepwise changes in mean CoG and potentially confounding factors in the spectral energy distribution can still be better controlled than in the present study. The present study has demonstrated, though, that it is generally possible to generate uniformly structured CoG stimulus continua based naturally produced sibilant tokens. However, firstly, such natural productions involved an in-depth knowledge of the relevant articulatory changes that are required for creating the uniform CoG steps; secondly, selecting the right tokens for the CoG continuum involved phonetically trained ears. The indepth articulatory knowledge and its skilled implementation in fricative realization as well as the subsequent phonetic listening skills in fricative selection might not always be available in all research projects and for all languages. Moreover, based on the author's experience with fricative production, acoustics, and perception gained during the work on segmental intonation, it is likely that generating uniformly structured CoG stimulus continua could be much harder for fricatives like [ɸ], [f], [ɵ], and [ç] (whose spectrum is fairly flat and whose CoG range is inherently small in natural speech production, cf. [6]) than it is for sibilants and dorsal or glottal fricatives like [x] and [h]. So, using synthesized fricative continua probably becomes unavoidable at a certain stage, and it would be interesting to compare how these synthetic continua perform (perceptionwise) in relation to naturally produced ones.
A further obvious line of follow-up research must determine in more detail how segmental intonation and F0-based intonation are actually integrated in perception. Based on experiments of Mixdorff et al. [32,33] and Welby and Niebuhr [35], it is still only marginally understood, to what extent, in which way, and under which circumstances the aperiodic pitch impressions of fricatives contribute to the subjective continuity of utterance intonation contours. For example, do aperiodic pitch impressions directly fill-in missing F0 sections or do aperiodic pitch impressions only function as acoustic triggers for a signal-external interpolation and filling-in of F0 gaps? Addressing these questions would not just be interesting from a phonetic point of view; finding answers would also help improving speech recognition and synthesis algorithms and contribute to updating current intonational phonology frameworks in such a way that they go beyond F0 and integrate the two traditionally separated layers of the speech signal: segments and prosodies.
Finally, one reviewer asked whether it is possible in the future to provide more direct evidence for the integration of segmental intonation in the perception of speech melody. We think this is tricky to test without explicitly drawing the participants attention to the target fricatives' aperiodic pitch impressions. However, it is without a doubt a worthwhile task, and one option could be to let participants draw the perceived intonation contours of utterances whose fricatives are cross-spliced between different F0 contexts. An initial feasibility test for the use of such a drawing task in a follow-up experiment has already been successfully conducted.