Highly composite equal division: Difference between revisions
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Created page with "Highly melodic equal division is a division with either superabundant or highly composite number of pitches per equivalence interval. == Theory == The defining characteristic..." |
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*The EDx contains the largest count of notes in symmetrical chords, and correspondingly, in uniform equave-repeating scales, relative to its size. | *The EDx contains the largest count of notes in symmetrical chords, and correspondingly, in uniform equave-repeating scales, relative to its size. | ||
*The EDx has the largest amount of [[Wikipedia:Mode of limited transposition|modes of limited transposition]] relative to its size. | *The EDx has the largest amount of [[Wikipedia:Mode of limited transposition|modes of limited transposition]] relative to its size. | ||
*The EDx has the largest amount of rank-2 temperaments whose period is a fraction of the | *The EDx has the largest amount of rank-2 temperaments whose period is a fraction of the equave, relative to its size. | ||
*By the virtue of point 1, the EDx has the largest amount of familiar scales relative to its size | *By the virtue of point 1, the EDx has the largest amount of familiar scales relative to its size | ||
Revision as of 14:33, 9 June 2022
Highly melodic equal division is a division with either superabundant or highly composite number of pitches per equivalence interval.
Theory
The defining characteristics of highly melodic equal divisions are the following:
- The EDx contains the largest count of notes in symmetrical chords, and correspondingly, in uniform equave-repeating scales, relative to its size.
- The EDx has the largest amount of modes of limited transposition relative to its size.
- The EDx has the largest amount of rank-2 temperaments whose period is a fraction of the equave, relative to its size.
- By the virtue of point 1, the EDx has the largest amount of familiar scales relative to its size
Individual pages
- Highly melodic EDF (3/2)
- Highly melodic EDO (2/1)