Name
Abstract | ||
|---|---|---|
Many scale features have been defined in an effort to account for the ubiquity of the diatonic scale in tonal music. In 12-TET, their relative influences have been difficult to disentangle. In 22-TET however, the features are spread differently across different scales. We sought here to to establish a set of 7-note scales in 22-TET that represent the major clusters within the whole population of scales. We first calculate numerous features of every 7-note scale in 22-TET that may relate to their perception in harmonic tonality. This feature space is then reduced by the step-by-step removal of features which may be most completely expressed as linear combinations of the others. A k-medoids cluster analysis leads finally to the selection of 11 exemplar scales, including approximations of four different tunings of the diatonic scale in just intonation. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/978-3-030-21392-3_16 | Lecture Notes in Artificial Intelligence |
Keywords | DocType | Volume |
Diatonic scale features,K-medoids cluster analysis,22-TET | Conference | 11502 |
ISSN | Citations | PageRank |
0302-9743 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gareth M. Hearne | 1 | 0 | 0.34 |
| Andrew J. Milne | 2 | 0 | 0.68 |
| Roger T. Dean | 3 | 6 | 3.95 |