Measurements of vibrato parameters in long sustained crescendo notes as sung by ten sopranos

Two high-pitched and long sustained notes, F5 and A5, were selected from an aria found in ten commercial recordings of G Verdi's opera Aida by ten different sopranos. Both notes were sung without any instrumental accompaniment and with a crescendo. These audio examples were analyzed with regard to fundamental frequency, vibrato rate, vibrato extent, intonation and sound level, and the relationship among these parameters. The results reveal that vibrato rate differed significantly between the tones in most of the singers and confirm Prame's observations that vibrato rate tends to increase exponentially toward the end of tones. Moreover, both vibrato extent and mean F0 often varied systematically with sound level. The regularity of the vibrato tended to be greater at F5 than at A5.     

Acoustic variability in vibrato and its perceptual significance

Historically, studies of vocal vibrato have concentrated on pulse rate as being a primary factor in determining whether a given vocal movement is a good or bad vibrato or a tremolo or wobble. More recently, investigators have been studying the extent of frequency variation and amplitude variation around their respective means in order to determine their influence on the perception of vibrato. The present study is an additional attempt to understand the three parameters comprising vibrato, their interrelationship, and their relationship to perception. Samples of sustained sung tones were obtained primarily from recordings. The samples were digitized using a 16-bit A/D converter at a sampling frequency of 10 kHz. Each digitized sample was converted to a useful format for marking purposes in order to derive information on vibrato pulse rate, the mean frequency of the tone, the semitone deviation around the mean, percent frequency deviation and percent amplitude variation around the mean amplitude. Data presentation utilizes representative samples of good vibrato, tremolo and wobble and describes differences in waveforms which may impact on perception.     

Acoustic characteristics of vocal oscillations: Vibrato, exaggerated vibrato, trill, and trillo

Acoustic analysis was performed on recordings of 10 early music singers producing examples of vibrato, exaggerated vibrato, whole-tone trill, and trillo to obtain measures of oscillation rate, frequency extent, and jitter. Oscillation rates for vibrato, exaggerated vibrato, and trill were similar, but trillo rate was much faster. Average frequency extent of oscillation was 1 semitone (st) for vibrato, 2.21 st for exaggerated vibrato, 2.71 st for whole-tone trill, and 1.64 st for trillo. Jitter measures indicated that exaggerated vibrato had the most stable oscillations and trillo the least.     

Effect of the glottal source and the vocal tract on the partials amplitude of vibrato in male voices

In this paper the production of vocal vibrato is investigated. The most relevant features of the acoustical vibrato signal, frequency and amplitude variations of the partials, will be related to the voice production features, glottal source (GS) and vocal tract response (VTR). Unlike previous related works, in this approach, the effect on the amplitude variations of the partials of each one of the above-mentioned voice production features will be identified in recordings of natural singing voice. Moreover, we will take special care of the reliability of the measurements, and, to this aim, a noninteractive vibrato production model will be also proposed in order to describe the vibrato production process and, more importantly, validate the measurements carried out in natural vibrato. Based on this study, it will be shown that during a few vibrato cycles, the glottal pulse characteristics, as well as the VTR, do not significantly change, and only the fundamental frequency of the GS varies. As a result, the pitch variations can be attributed to the GS, and these variations, along with the vocal tract filtering effect, will result in frequency and amplitude variations of the acoustic signal partials.     

The effects of crescendo on vocal vibrato

The purpose of this research was to investigate the effects of crescendo and decrescendo on the width of vocal vibrato. A second interest was whether the frequency at which the crescendo or decrescendo occurred would be a factor. Nine singers each produced nine phonations. The first set of three phonations was crescendo from pp to ff at low, medium, and high frequency. The second set of three was decrescendo from ff to pp at the three frequencies and the third set was from pp to ff to pp at each frequency. The vibrato width during each phonation was measured via a Kay Visipitch. The results generally indicated that vibrato width increased with increasing crescendo. With decrescendo, however, the vibrato width tended to remain constant even though the intensity was decreasing. The greatest vibrato width occurred at the middle frequencies.     

The time-frequency characteristics of violin vibrato: modal distribution analysis and synthesis

A high-resolution time-frequency distribution, the modal distribution, is applied to the study of violin vibrato. The analysis indicates that the frequency modulation induced by the motion of the stopped finger on the string is accompanied by a significant amplitude variation in each partial of that note. Amplitude and frequency estimates for each partial are extracted from the modal distribution of ten pitches that span the range of the violin instrument. The frequency modulation is well-represented by a single sinusoid with a mean rate of 5.9 Hz and a mean excursion of +/- 15.2 cents. A spectral decomposition of the amplitude envelopes of the partials shows that the peaks lie primarily at integer multiples of the vibrato rate. These amplitude and frequency estimates are used in an additive synthesis model to generate synthetic replicates of violin vibrato. Simple approximations to these estimates are created, and synthesized sounds using these are evaluated perceptually by seven subjects using discrimination, nonmetric multidimensional scaling (MDS), and sound quality scoring tasks. It is found that the absence of frequency modulation has little effect on the perceptual response to violin vibrato, while the absence of amplitude modulation causes marked changes in both sound quality and MDS results. Low-order spectral decompositions of the amplitude and frequency estimates also occupy the same perceptual space as the original recording for a subset of the pitches studied.     

Vibrato of saxophones

Several alto saxophone players' vibratos have been recorded. The signals are analyzed using time-frequency methods in order to estimate the frequency modulation (vibrato rate) and the amplitude modulation (vibrato extent) of each vibrato sample. Some parameters are derived from the results in order to separate the two ways of vibrato playing: vibrato "à la machoire" and vibrato "sur l'air." Moreover, time domain simulations of single-reed instrument vibratos are created. The model is controlled by two parameters: the mouth overpressure and a parameter characterizing the reed-mouthpiece system. Preliminary comments and comparisons between the simulated vibratos and recorded vibratos results are made.     

Modal Distribution Analysis, Synthesis, and Perception of a Soprano''s Sung Vowels

A high-resolution time-frequency analysis technique, the modal distribution, is applied to sung vowels from a soprano singer. Parameters are estimated for each partial component of notes analyzed with the modal distribution. These estimates are used in an additive synthesis model to generate replicates of the original recording, using a series of time-varying sinusoids. Additionally, a source-filter model is applied to create synthetic signals, where pitch- and vowel-specific filters and driving functions are constructed from the amplitude and frequency estimates obtained. Different driving functions, which sample the range of this singer's rate and excursion variation, are transposed and filtered to create synthetic signals. The perceptual salience of the different rates and excursions is then determined via a paired-comparison listening experiment. It is found that listeners are sensitive to small variations in both average vibrato rate and average vibrato excursion. However, the perceived amount of vibrato excursion varies somewhat depending upon the pitch at which the vibrato is “played” synthetically. Finally, the naturalness and sound quality of these synthetic examples is determined through both paired-comparison and single-note sound quality scaling listening experiments.     

Physiologic factors in vocal vibrato production

Four adult male singers produced sustained vowel phonation beginning with straight tone and changing to vibrato or exaggerated vibrato. The EMG signal from the cricothyroid muscle (CT) and the voice signal were recorded. Analysis showed that the muscle signal changed from a relative steady-state interference pattern during straight tone production to a modulated signal during either of the vibrato productions. Furthermore, for vocalization at the same frequency, the integrated muscle signal was approximately the same for straight tone and vibrato. Variability in the timing of CT modulation and the resultant FO oscillation was extensive, suggesting that other muscles may be involved in vibrato regulation.     

Inter- and intrasubject changes in vibrato: Perceptual and acoustic aspects

Recent papers by Rothman and Timberlake (1), Rothman (2), Rothman and Arroyo (3), and Keidar, Titze, and Timberlake (4) have focused on the pulse rate, frequency extent, and amplitude extent of vibrato. Some of the emphases of these papers were attempts to clarify the acoustic and perceptual correlates of vibrato, tremolo, and wobble. Rothman and Arroyo (3) speculated that the shape of the frequency variation waveform may be indicative of vocal problems. In order to verify this, we examined recorded segments of sung samples produced by different singers and samples taken from the early and late stages of singers' careers. Some singers had a relatively short career before exhibiting vocal problems. Others had relatively long careers before showing evidence of vocal decline. Many, but not all, of the singers' late career recordings represent examples generally acknowledged to evidence vocal problems/decline. Each sample was digitized at a sampling frequency of 10 kHz, stored, and analyzed using programs reported on by Rothman and Arroyo (3). Data analysis revealed that some parameters can distinguish between good and bad vibrato despite the variance in listener judgments. Furthermore, evidence of vocal decline is not always due to changes in singers' vibrato.