Highly composite EDO

Superabundant EDO is the equal division scale with a superabundant number of pitches in an octave. They can be seen as the opposite of Prime EDOs.

Superabundant numbers in EDOs

The defining feature is that the EDO has the largest number of sub-EDOs that it contains, in proportion to the EDO's number. This means that:

• The EDO contains the largest amount of symmetrical chords, and correspondingly, uniform octave-repeating scales, relative to its size.
• The EDO has the largest amount of modes of limited transposition relative to its size.
• The EDO has the largest amount of rank-2 temperaments whose period is a fraction of the octave, relative to its size.
• By the virtue of point 1, the EDO has the largest amount of familiar scales relative to its size.