Combinatorial Music Theory

Duncan A. Combinatorial Music Theory. J Audio Eng Soc. 1991;39(6):427-448. Available from: https://aes.org/publications/elibrary-page/?id=5978

@article{Duncan1991_5978,
  author = {Duncan, Andrew},
  title = {{Combinatorial Music Theory}},
  journal = {Journal of the Audio Engineering Society},
  volume = {39},
  number = {6},
  pages = {427--448},
  year = {1991},
  month = jun,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=5978}
}

TY  - JOUR
TI  - Combinatorial Music Theory
AU  - Duncan, Andrew
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 39
IS  - 6
SP  - 427
EP  - 448
PY  - 1991
DA  - 1991/06/06
UR  - https://aes.org/publications/elibrary-page/?id=5978
PB  - Audio Engineering Society
LA  - en
AB  - Musical patterns may be investigated with the mathematical tools more commonly applied in science and engineering. For example, the cyclic autocorrelation of a musical scale describes its interval content. Fingering patterns on string instruments are embedded in a space with an unusual topology. Ideas from crystallography may be applied to the description of structure-preserving transformations of melodies. These phenomena are explored for the particularly common case of the twelve-note equally tempered scale.
ER  -