Highly composite equal division

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)