Tone and Voice: A Derivation of the Rules of Voice-Leading from Perceptual Principles

The traditional rules of voice-leading in Western music are explicated using experimentally established perceptual principles. Six core principles are shown to account for the majority of voice-leading rules given in historical and contemporary music theory tracts. These principles are treated in a manner akin to axioms in a formal system from which the traditional rules of voice-leading are derived. Nontraditional rules arising from the derivation are shown to predict formerly unnoticed aspects of voice-leading practice. In addition to the core perceptual principles, several auxiliary principles are described. These auxiliary principles are occasionally linked to voice-leading practice and may be regarded as compositional “options” that shape the music-making in perceptually unique ways. It is suggested that these auxiliary principles distinguish different types of part writing, such as polyphony, homophony, and close harmony. A theory is proposed to account for the aesthetic origin of voiceleading practices.

[1]  Alfred M. Mayer Researches in acoustics , 1894, American Journal of Science.

[2]  Heinrich Schenker,et al.  Neue musikalische Theorien und Phantasien , 1906 .

[3]  Untersuchungen über den Gefühlseindruck unanalysierter Zweiklänge , 1908 .

[4]  Le développement de l’enfant de deuxà sept ans , 1921 .

[5]  Otto Ortmann,et al.  On the melodic relativity of tones , 1926 .

[6]  Norman Cazden Musical Consonance and Dissonance: A Cultural Criterion , 1945 .

[7]  Reginald Owen Morris,et al.  The Oxford harmony , 1946 .

[8]  Georg v. Békésy,et al.  On the Resonance Curve and the Decay Period at Various Points on the Cochlear Partition , 1949 .

[9]  G. A. Miller,et al.  The Trill Threshold , 1950 .

[10]  G. A. Miller,et al.  An experimental study of auditory patterns. , 1951, The American journal of psychology.

[11]  Harvey b. Fletcher,et al.  Speech and hearing in communication , 1953 .

[12]  P. Fitts The information capacity of the human motor system in controlling the amplitude of movement. , 1954, Journal of experimental psychology.

[13]  Robert O. Gjerdingen,et al.  The psychology of music , 2002 .

[14]  W. Thurlow,et al.  An auditory figure-ground effect. , 1957, The American journal of psychology.

[15]  C. I. Howarth,et al.  Changes in Threshold Level Produced by a Signal Preceding or following the Threshold Stimulus , 1959 .

[16]  Ira J. Hirsh,et al.  Auditory Perception of Temporal Order , 1959 .

[17]  Bertram Scharf Loudness Summation under Masking , 1960 .

[18]  P. Coleman,et al.  Experiments in hearing , 1961 .

[19]  D. D. Greenwood Critical Bandwidth and the Frequency Coordinates of the Basilar Membrane , 1961 .

[20]  D. D. Greenwood,et al.  Auditory Masking and the Critical Band , 1961 .

[21]  J. F. Corso,et al.  Timbre Cues and the Identification of Musical Instruments , 1962 .

[22]  Bela Julesz,et al.  Lower Limits of Auditory Periodicity Analysis , 1963 .

[23]  Anne Treisman,et al.  Monitoring and storage of irrelevant messages in selective attention , 1964 .

[24]  R. Plomp,et al.  Tonal consonance and critical bandwidth. , 1965, The Journal of the Acoustical Society of America.

[25]  B. Estes,et al.  Perception of quantity. , 1966, The Journal of genetic psychology.

[26]  W. Strong,et al.  Synthesis of Wind‐Instrument Tones , 1967 .

[27]  D A Norman,et al.  Temporal confusions and limited capacity processors. , 1967, Acta psychologica.

[28]  H J Steeneken,et al.  Interference between two simple tones. , 1968, The Journal of the Acoustical Society of America.

[29]  W. J. Dowling,et al.  Rhythmic Fission and Perceptual Organization , 1968 .

[30]  A. Kameoka,et al.  Consonance theory part II: consonance of complex tones and its calculation method. , 1969, The Journal of the Acoustical Society of America.

[31]  Robert G. Crowder,et al.  Improved recall for digits with delayed recall cues. , 1969 .

[32]  A. Kameoka,et al.  Consonance theory part I: consonance of dyads. , 1969, The Journal of the Acoustical Society of America.

[33]  S. Glucksberg,et al.  Memory for nonattended auditory material , 1970 .

[34]  F. Attneave,et al.  Pitch as a medium: a new approach to psychophysical scaling. , 1971, The American journal of psychology.

[35]  L.P.A.S. van Noorden,et al.  Rhythmic fission as a function of tone rate , 1971 .

[36]  A. Bregman,et al.  Primary auditory stream segregation and perception of order in rapid sequences of tones. , 1971, Journal of experimental psychology.

[37]  Discrimination of time intervals bounded by tones of different frequencies , 1971 .

[38]  A B Rostron,et al.  Brief auditory storage: a modification of Sperling's paradigm applied to audition. , 1972, Acta psychologica.

[39]  J. M. Ackroff,et al.  Auditory Induction: Perceptual Synthesis of Absent Sounds , 1972, Science.

[40]  T. Houtgast Psychophysical evidence for lateral inhibition in hearing. , 1972, The Journal of the Acoustical Society of America.

[41]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[42]  A B Rostron,et al.  Brief auditory storage: some further observations. , 1974, Acta psychologica.

[43]  Alexander Pollatsek,et al.  Detection of temporal gaps within and between perceptual tonal groups , 1974 .

[44]  Benson Schaeffer,et al.  Number development in young children , 1974 .

[45]  R. Erickson Sound structure in music , 1975 .

[46]  D. Deutsch Two-channel listening to musical scales. , 1975, The Journal of the Acoustical Society of America.

[47]  Lpas Vannoorden,et al.  Temporal coherence in the perception of tone sequences [doctoral dissertation , 1975 .

[48]  R. Gelman,et al.  Further Investigations of the Young Child's Conception of Number. , 1975 .

[49]  M Kubovy,et al.  Persistence of a pitch-segregating echoic memory. , 1976, Journal of experimental psychology. Human perception and performance.

[50]  Carl Schachter,et al.  Harmony And Voice Leading , 1978 .

[51]  A S Bregman,et al.  Auditory streaming is cumulative. , 1978, Journal of experimental psychology. Human perception and performance.

[52]  S. Pinker,et al.  Auditory streaming and the building of timbre. , 1978, Canadian journal of psychology.

[53]  A. Krokstad,et al.  Noise-induced hearing losses. Can they be explained by basilar membrane movement? , 1979, Acta oto-laryngologica. Supplementum.

[54]  David Wessel,et al.  Timbre Space as a Musical Control Structure , 1979 .

[55]  P. Bonding Critical bandwidth in loudness summation in sensorineural hearing loss. , 1979, British journal of audiology.

[56]  Ruth Rasch,et al.  Synchronization in performed ensemble music , 1979 .

[57]  C. Krumhansl The psychological representation of musical pitch in a tonal context , 1979, Cognitive Psychology.

[58]  Albert S. Bregman,et al.  Capturing frequency components of glided tones: Frequency separation, orientation, and alignment , 1981, Perception & psychophysics.

[59]  John Strawn,et al.  Sound Generation in Winds, Strings, Computers , 1981 .

[60]  James C. Carlsen Some factors which influence melodic expectancy , 1981 .

[61]  R. Rasch Aspects of the perception and performance of polyphonic music , 1981 .

[62]  M. Strauss,et al.  Infant perception of numerosity. , 1981, Child development.

[63]  E. Terhardt,et al.  Pitch of complex signals according to virtual‐pitch theory: Tests, examples, and predictions , 1982 .

[64]  E. Terhardt,et al.  Algorithm for extraction of pitch and pitch salience from complex tonal signals , 1982 .

[65]  B. Moore,et al.  Suggested formulae for calculating auditory-filter bandwidths and excitation patterns. , 1983, The Journal of the Acoustical Society of America.

[66]  H. Petsche Music, mind and brain: The neuropsychology of music Ed. M. Clynes, Plenum Press, New York. (1982). 430 pp , 1983, Neuroscience.

[67]  Johan Sundberg,et al.  Musical Performance: A Synthesis-by-Rule Approach , 1983 .

[68]  J. Bharucha,et al.  Anchoring effects in music: The resolution of dissonance , 1984, Cognitive Psychology.

[69]  A S Bregman,et al.  Fusion of simultaneous tonal glides: The role of parallelness and simple frequency relations , 1984, Perception & psychophysics.

[70]  Stephen McAdams,et al.  Spectral fusion, spectral parsing and the formation of auditory images , 1984 .

[71]  A. Bregman,et al.  Crossing of Auditory Streams , 1985 .

[72]  C. Darwin,et al.  Spectral integration based on common amplitude modulation , 1985, Perception & psychophysics.

[73]  Effects of acoustical context on perceived vowel quality , 1986 .

[74]  R B Gardner,et al.  Mistuning a harmonic of a vowel: grouping and phase effects on vowel quality. , 1986, The Journal of the Acoustical Society of America.

[75]  A. Bregman,et al.  Auditory stream segregation and the control of dissonance in polyphonic music , 1987 .

[76]  R. G. Crowder,et al.  Tonal fusion of consonant musical intervals: The oomph in Stumpf , 1987, Perception & psychophysics.

[77]  A S Bregman,et al.  Perceived continuity of gliding and steady-state tones through interrupting noise , 1987, Perception & psychophysics.

[78]  A Practical Approach to Sixteenth-Century Counterpoint , 1987 .

[79]  Rudolf Rasch,et al.  Timing and synchronization in ensemble performance. , 1988 .

[80]  R. Parncutt Harmony: A Psychoacoustical Approach , 1989 .

[81]  David Huron,et al.  The Avoidance of Inner-Voice Entries: Perceptual Evidence and Musical Practice , 1989 .

[82]  David Huron Voice Denumerability in Polyphonic Music of Homogeneous Timbres , 1989 .

[83]  David Huron,et al.  Characterizing Musical Textures , 1989, ICMC.

[84]  Pierre L. Divenyi,et al.  Resolution of steady‐state sounds in simulated auditory space , 1989 .

[85]  S. McAdams Segregation of concurrent sounds. I: Effects of frequency modulation coherence. , 1989, The Journal of the Acoustical Society of America.

[86]  A S Bregman,et al.  Auditory grouping based on fundamental frequency and formant peak frequency. , 1990, Canadian journal of psychology.

[87]  Albert S. Bregman,et al.  The Auditory Scene. (Book Reviews: Auditory Scene Analysis. The Perceptual Organization of Sound.) , 1990 .

[88]  Eugene Narmour,et al.  The Analysis and Cognition of Basic Melodic Structures: The Implication-Realization Model , 1990 .

[89]  L. Demany,et al.  The Upper Limit of "Musical" Pitch , 1990 .

[90]  Brian R Glasberg,et al.  Derivation of auditory filter shapes from notched-noise data , 1990, Hearing Research.

[91]  D. D. Greenwood A cochlear frequency-position function for several species--29 years later. , 1990, The Journal of the Acoustical Society of America.

[92]  G. Mckay Harmony , 1955, Journalen sykepleien.

[93]  David Huron,et al.  Tonal Consonance versus Tonal Fusion in Polyphonic Sonorities , 1991 .

[94]  Joos Vos Perceptual separation of simultaneous complex tones: The effect of slightly asynchronous onsets. , 1991 .

[95]  G. J. Sandell Concurrent Timbres in Orchestration: a Perceptual Study of Factors Determining "blend" , 1991 .

[96]  Kengo Ohgushi,et al.  On the perception of the musical pitch of high frequency tones , 1991 .

[97]  D. D. Greenwood,et al.  Critical bandwidth and consonance in relation to cochlear frequency-position coordinates , 1991, Hearing Research.

[98]  Douglas Johnson,et al.  Stream Segregation and Peripheral Channeling , 1991 .

[99]  Gregory J. Sandell A Library of Orchestral Instrument Spectra , 1991, ICMC.

[100]  David Huron,et al.  The Avoidance of Part-Crossing in Polyphonic Music: Perceptual Evidence and Musical Practice , 1991 .

[101]  R. Carlyon,et al.  Discriminating between coherent and incoherent frequency modulation of complex tones. , 1991, The Journal of the Acoustical Society of America.

[102]  R. Carlyon,et al.  The psychophysics of concurrent sound segregation. , 1992, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[103]  Paul Iverson Auditory stream segregation by musical timbre. , 1992 .

[104]  E. Narmour The Analysis and Cognition of Melodic Complexity: The Implication-Realization Model , 1992 .

[105]  David Huron,et al.  Critical Bands and the Spelling of Vertical Sonorities , 1992 .

[106]  David Huron,et al.  Note-Onset Asynchrony in J. S. Bach's Two-Part Inventions , 1993 .

[107]  A derivation of the rules of voice‐leading from perceptual principles , 1993 .

[108]  Richard Parncutt,et al.  Pitch properties of chords of octave-spaced tones , 1993 .

[109]  Auditory organization in music: Let the (defunct) composer speak , 1993 .

[110]  Richard Parncutt,et al.  AN IMPROVED MODEL OF TONALITY PERCEPTION INCORPORATING PITCH SALIENCE AND ECHOIC MEMORY , 1993 .

[111]  D. Huron,et al.  Chordal-tone doubling and the enhancement of key perception. , 1993 .

[112]  R P Carlyon Further evidence against an across-frequency mechanism specific to the detection of frequency modulation (FM) incoherence between resolved frequency components. , 1994, The Journal of the Acoustical Society of America.

[113]  A. Gregory,et al.  Timbre and Auditory Streaming , 1994 .

[114]  David Huron,et al.  Interval-Class Content in Equally Tempered Pitch-Class Sets: Common Scales Exhibit Optimum Tonal Consonance , 1994 .

[115]  Robert O. Gjerdingen,et al.  Apparent Motion in Music?: Music Perception , 1994 .

[116]  Daniel Reisberg,et al.  On the Perception of Interleaved Melodies , 1995 .

[117]  Effect of intensity on sensory dissonance , 1999 .

[118]  Paul T. von Hippel,et al.  Redefining Pitch Proximity: Tessitura and Mobility as Constraints on Melodic Intervals , 2000 .

[119]  Paul T. von Hippel,et al.  Why Do Skips Precede Reversals? The Effect of Tessitura on Melodic Structure , 2000 .

[120]  Marcos Dipinto,et al.  Discriminant analysis , 2020, Predictive Analytics.