70
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Morphological metrics

Pages 289-368 | Published online: 03 Jun 2008

References

  • Abraham , R. 1986 . Mathematics and evolution: A manifesto . International Synergy Journal , 1 (3) : 14 – 28 .
  • Adams , C. 1976 . Melodic contour typology . Ethnomusicology , 20 (2) : 179 – 215 .
  • Ames , C. 1992 . A catalog of sequence generators . Leonardo Music Journal , 1 (2) : 55 – 72 .
  • Ames , C. 1991 . A catalog of statistical distributions: Techniques for transforming random, determinate and chaotic sequences . Leonardo Music Journal , 1 (1) : 55 – 70 .
  • Apel , T. 1993 . A metric for determining the distance between MQ frames , Paper written for Systems of Musical Thought, Graduate Seminar, Dartmouth College .
  • Ash , R. 1970 . Basic Probability Theory , New York : John Wiley and Sons .
  • Attneave , F. 1950 . Dimensions of similarity . American Journal of Psychology , 63 : 516 – 556 .
  • Barlow , C. 1987 . Two essays on theory . Computer Music Journal , 11 (1) : 44 – 60 .
  • Barlow , C. 1980 . Bus journey to Parametron (all about Çogluotobüsisletmesi) , Feedback Papers 21–23 Köln : Feedback‐Studio‐Verlag .
  • Becker , J . 1980 . Traditional Music in Modern Java , Honolulu : University Press of Hawaii .
  • Belet , B. 1987 . An interview with James Tenney . Perspectives of New Music , 25 (1,2) : 459 – 466 .
  • Berkley , S. 1993 . corrMorph: Extending Morphological Metrics with Convolution Operators , Paper written for Systems of Musical Thought, Graduate Seminar, Dartmouth College .
  • Bryant , V. 1985 . Metric Spaces: Iteration and Application , Cambridge : Cambridge University Press .
  • Chaitin , G. 1979 . “ Towards a mathematical definition of life ” . In The Maximum Entropy Formulation , Edited by: Levine , R. D. and Tribus , M. Cambridge : MIT Press .
  • Chalmers , J. 1993 . Divisions of the Tetrachord , Lebanon : Frog Peak Music .
  • Copson , E.T. 1968 . Metric Spaces , Cambridge : Cambridge University Press .
  • Crawford , R. 1931 . Piano Study in Mixed Accents , Bryn Mawr : Theodore Presser Company .
  • Cuddy , L. and Cohen , A.J. 1976 . Recognition of transposed melodic sequences . Quarterly Journal of Experimental Psychology , 28 : 255 – 270 .
  • Cuddy , L. , Cohen , A.J. and Miller , J. 1979 . Melody recognition: The experimental application of musical rules . Canadian Journal of Psychology , 33 : 148 – 157 .
  • Deliege , I. 1987 . Grouping conditions in listening to music: An approach to Lerdahl and Jackendoffs grouping preference rules . Music Perception , 4 (4) Summer : 325 – 36 .
  • Dowling , W.J. 1982 . “ Melodic information processing and its development ” . In The Psychology of Music , Edited by: Deutsch , D. New York : Academic Press .
  • Dowling , W.J. 1978 . Scale and contour: Two components of memory for melodies . Psychological Review , 85 (4) : 341 – 354 .
  • Dowling , W.J. 1972 . Recognition of inversions of melodies and melodic contours . Perception and Psychophysics , 9 : 348 – 349 .
  • Dowling , W.J. 1971 . Recognition of melodic transformations: Inversion, retrograde, and retrograde inversion . Perception and Psychophysics , 12 : 417 – 421 .
  • Dowling , W.J. and Fujitani , D.S. 1971 . Contour, interval and pitch recognition in memory for melodies . Journal of the Acoustical Society of America , 49 : 524 – 531 .
  • Dowling , W.J. and Hollombe , A.W. 1977 . The perception of melodies distorted by splitting into several octaves: Effects of increasing proximity and melodic contour . Perception and Psychophysics , 21 : 60 – 64 .
  • Dugundgi , J. 1966 . Topology , Boston : Allyn and Bacon .
  • Edworthy , J. 1985 . Interval and contour in melody processing . Music Perception , 2 (3) : 375 – 388 .
  • Edworthy , J. 1983 . “ Melodic contour and musical structure ” . In Musical Structure and Cognition , Edited by: Dowling , W. J. and Harwood , D. New York : Academic Press .
  • Erbe , T. and Polansky , L. 1994 . Soundhack User Manual , Manual section on Spectral Mutation written by L. Polansky . Available via FTP from: http://music.calarts.edu/∼tre
  • Forte , A. 1973 . The Structure of Atonal Music , New Haven : Yale University Press .
  • Forte , A. 1965 . The domain and relations of set‐complex theory . Journal of Music Theory , 9 (1) : 173 – 180 .
  • Friedmann , M. 1987 . A response: My contour, their contour . Journal of Music Theory , Fall : 268 – 274 .
  • Friedmann , M. 1985 . A methodology for the discussion of contour: Its application to Schoenberg's music . Journal of Music Theory , 29 : 223 – 248 .
  • Grey , J.M. 1975 . An exploration of musical timbre , CCRMA Report No. STAN‐M‐2
  • Grimaldi , R.P. 1989 . Discrete and Combinatorial Mathematics , New York : Addison Wesley Publishing .
  • Hermann , R. 1994 . A General Measurement for Similarity Relations: A Heuristic for Constructing or Evaluating Aspects of Possible Musical Grammars , Eastman School of Music . Ph.D Dissertation
  • Isaacson , E. 1990 . Similarity of interval‐class content between pitch‐class sets . Journal of Music Theory , 34 (1) : 1 – 28 .
  • Kaplansky , I. 1972 . Set Theory and Metric Spaces , Boston : Allyn and Bacon .
  • Kolinski , M. 1965a . The general direction of melodic movement . Ethnomusicology , 9 : 240 – 264 .
  • Kolinski , M. 1965b . “ The structure of melodic movement‐ A new method of analysis (revised version) ” . In Studies in Ethnomusicology , Vol. 2 , 96 – 120 . New York : Oak Publications .
  • Knuth , D. 1973 . The Art of Computer Programming. Volume 1: Fundamental Algorithms , Reading : Addison Wesley .
  • Krumhansl , C. 1978 . Concerning the applicability of geometric models to similarity data: The interrelationship between similarity and spatial density . Psychological Review , 85 (5) : 445 – 463 .
  • Langmead , C. 1995 . A Theoretical Model of Timbre Perception Based on Morphological Representations of Time‐Varying Spectra , Electro‐Acoustic Music. Dartmouth College . M.A. Thesis
  • Langmead , C. 1995a . PAST (software), available from http://music.dartmouth.edu/∼langmead
  • Lederman , W. and Vajda , S. , eds. 1982 . Handbook of Applicable Mathematics. Volume IV: Analysis , New York : John Wiley and Sons .
  • Lerdahl , F. and Jackendoff , R. 1983 . A Generative Theory of Tonal Music , Cambridge : MIT Press .
  • Lewin , D. 1979–0 . A response to a response: On PC set relatedness . Perspectives of New Music , 13 (2) : 498 – 502 .
  • Lewin , D. 1977 . Forte's interval vector, my interval function, and Regener's common‐note function . Journal of Music Theory , 21 (2) Fall : 194 – 237 .
  • Lord , C.H. 1981 . Intervallic similarity relations in atonal music . Journal of Music Theory , 25 (1) Spring : 91 – 111 .
  • Marvin , E. 1991 . The perception of rhythm in non‐tonal music: Rhythmic contours in the music of Edgard Varèse . Music Theory Spectrum , 13 (1) : 61 – 78 .
  • Marvin , E. A generalization of contour theory to diverse musical spaces: Analytical applications to the music of Dallapiccola and Stockhausen . Paper presented at the Society for Music Theory . Oakland, California.
  • Marvin , E. and Laprade , P. 1987 . Relating music contours: Extensions of a theory for contour . Journal of Music Theory , 31 (2) : 225 – 267 .
  • Monahan , C. and Carterette , E. 1985 . Pitch and duration as determinants of musical space . Music Perception , 3 (1) Fall : 1 – 32 .
  • Morris , R. New directions in the theory and analysis of musical contours . Paper presented at the Society for Music Theory Meeting . Kansas City.
  • Morris , R. 1991 . Class Notes for Atonal Music Theory , Lebanon : Frog Peak Music .
  • Morris , R. 1989 . Composition with Pitch Classes: A Theory of Compositional Design , New Haven : Yale University Press .
  • Morris , R. 1979–80 . A similarity index for pitch‐class sets . Perspectives of New Music , 18 (2) : 445 – 660 .
  • Nelson , M. 1986 . In pursuit of Charles Seeger's heterophonic ideal: Three palindromic works by Ruth Crawford . Musical Quarterly , 72 (4) : 458 – 475 .
  • Neter , J. , Wasserman , W. and Whitmore , G.A. 1978 . Applied Statistics , Boston : Allyn and Bacon .
  • Pennycook , B. and Stammen , D. Real‐time recognition of melodic fragments using the dynamic timewarp algorithm . Proceedings of the International Computer Music Conference 1993 . Tokyo. pp. 232 – 235 . International Computer Music Association .
  • Polansky , L. 1994a . The Casten Variation Score. For solo piano, or ensemble , Lebanon : Frog Peak Music .
  • Polansky , L. 1994b . Live interactive computer music in HMSL: 1984–1992 . Computer Music Journal , 18 (2) : 59 – 77 .
  • Polansky , L. Envisioning Ruth Crawford Seeger's Piano Study in Mixed Accents . Response presented at Society for Music Theory Montreal. Extended version of paper given at West Coast Society for Music Theory . 1994 , Oakland, California.
  • Polansky , L. 1993b . Roads to Chimacum Score. For string or mandolin quartet , Lebanon : Frog Peak Music .
  • Polansky , L. More on morphological mutation functions: Recent techniques and developments . Proceedings of the International Computer Music Conference 1992 . pp. 57 – 60 .
  • San Jose: International Computer Music Association and Polansky , L. 1992b . Two Childrens’ Songs. Score. For two bass winds , Lebanon : Frog Peak Music .
  • Polansky , L. 1991 . 51 Melodies Score. For two electric guitars and rock band , Lebanon : Frog, Peak Music .
  • Polansky , L. 1988 . 17 Simple Melodies of the Same Length for solo performer and computer. Software. Frog Peak Music , Available on cassette, Works for Performers and Live .
  • Interactive Computer , Lebanon : Frog Peak Music .
  • Polansky , L. Morphological metrics: An introduction to a theory of formal distances . Proceedings of the International Computer Music Conference 1987 . San Francisco. pp. 197 – 205 . International Computer Music Association .
  • Polansky , L. 1987a . Distance Musics I‐VI, For Any Number of Programmer/Performers and Live, Programmable Computer Music Systems . Perspectives of New Music , 25 (1,2) : 537 – 544 .
  • Polansky , L. , Burk , P. and Rosenboom , D. 1990 . HMSL (Hierarchical Music Specification Language): A theoretical overview . Perspectives of New Music , 28 (2) : 136 – 178 .
  • Polansky , L. , Burk , P. and Rosenboom , D. HMSL: Overview (Version 3.1) and Notes on Intelligent Instrument Design . Proceedings of the International Computer Music Conference 1987 . Urbana. pp. 220 – 227 . International Computer Music Association .
  • Polansky , L. and Bassein , R. 1992 . Possible and impossible melody: Some formal aspects of contour . Journal of Music Theory , 36 (2) : 284
  • (Paper delivered at the Society for Music Theory. Oakland, California).
  • Polansky , L. and Erbe , T. 1996 . “ Spectral mutation in Soundhack ” .
  • Polansky , L. and McKinney , M. Morphological mutation functions: Applications to motivic transformation and a new class of cross‐synthesis techniques . Proceedings of the International Computer Music Conference 1991 . Montreal. pp. 234 – 241 . International Computer Music Association .
  • Rabiner , L.R. , Rosenberg , A.E. and Levinson , S.E. 1978 . “ Considerations in dynamic time warping algorithms for discrete word recognition ” . In IEEE Transactions on Acoustics, Speech, Signal Processing ASSP‐25 575 – 582 .
  • Rahn , J. 1979–80 . Relating sets . Perspectives of New Music , 13 (2) : 483 – 498 .
  • Rahn , J. 1975 . On pitch or rhythm: Interpretations of orderings of and in pitch and time . Perspectives of New Music , 13 (2) : 182 – 203 .
  • Regener , E. 1974 . On Allen Forte's theory of chords . Perspectives of New Music , 13 (1) : 191 – 212 .
  • Roeder , J. 1987 . A geometric representation of pitch‐class series . Perspectives of New Music , 25 (1,2) : 362 – 409 .
  • Schoenberg , A. 1975 . Style and Idea , London : Faber and Faber .
  • Scholz , C. 1994 . Lattice Piece on the CD Hallways: 11 Musicians and HMSL , Lebanon : Frog Peak Music .
  • Seeger , C. 1960 . On the moods of a music logic . Journal of the American Musicological Society , 13 : 224 – 261 .
  • Shepard , R.N. 1987 . Towards a universal law of generalization for psychological space . Science , September 11 : 1317 – 1323 .
  • Shepard , R.N. 1974 . Representation of structure in similarity data: Problems and prospects . Psychometrika , 39 : 373 – 421 .
  • Shepard , R.N. 1964 . Attention and the metric structure of the stimulus space . Journal of Mathematical Psychology , 1 : 54 – 87 .
  • Shepard , R.N. 1963 . Analysis of proximities as a technique for the study of information processing in man . Human Factors , 1 : 54 – 87 .
  • Shepard , R.N. 1962a . The analysis of proximities: Multidimensional scaling with an unknown distance function. Part I . Psychometrika , 27 : 125 – 140 .
  • Shepard , R.N. 1962b . The analysis of proximities: Multidimensional scaling with an unknown distance function. Part II . Psychometrika , 27 : 219 – 246 .
  • Shreider , Y.A. 1974 . What is Distance? , Edited by: Cohn , L. and Edelberg , H. Chicago : University of Chicago Press .
  • Sim , B. 1976 . Fundamentals of Topology , New York : MacMillan Publishing .
  • Teitelbaum , R. 1965 . Intervallic relations in atonal music . Journal of Music Theory , 24 (2) Fall : 72 – 127 .
  • Tenney , J. 1987 . About “changes”: 64 studies for 6 harps . Perspectives of New Music , 25 (1,2) : 64 – 87 .
  • Tenney , J. 1984 . Bridge (for two pianos, eight hands) Score , Baltimore : Smith Publications .
  • Tenney , J. 1961 . Meta + Hodos , University of Illinois at Champaign‐Urbana. Published by Frog Peak Music . M.A. Thesis
  • Tenney , J. and Polansky , L. 1980 . Temporal gestalt perception in music: A metric space model . Journal of Music Theory , 24 : 205 – 241 .
  • Torgerson , W.S. 1965 . Multidimensional scaling of similarity . Psychometrika , 30 : 379 – 393 .
  • Tufte , E. 1990 . Envisioning Information , Cheshire, CT : Graphics Press .
  • Tversky , A. 1977 . Features of similarity . Psychological Review , 84 : 327 – 352 .
  • Uno , Y. Examining the roles of musical dimensions in Messiaen's Mode de valeurs et d'intensitiés: contour, entropy and hierarchical segmentation . Paper presented at the Society for Music Theory . Cincinatti.
  • Vaughan , K. 1992 . Experimental ethnomusicology: A perceptual basis for Jairazbhoy's circle of that . The World of Music , 34 (3) : 99 – 119 .
  • Wessel , D. 1979 . Timbre space and musical structure . Computer Music Journal , 3 (2) : 45 – 52 .
  • White , B. 1960 . The recognition of distorted melodies . American Journal of Psychology , 73 : 100 – 107 .
  • Wonnacott , T. and Wonnacott , R. 1972 . Introductory Statistics , New York : John Wiley and Sons .
  • Wyatt , W. and Bridges , C. 1974 . Statistics for the Behavioral Sciences , Boston : D.C. Heath and Company .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.