Ed11/5
ED11/5 is division of the neutral ninth (11/5) into n equal parts.
Division of 11/5 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of equivalence has not even been posed yet. The utility of 11/5 as a base though is apparent by it being, beside the true high ninth of a just dominant 11th chord, the best option for "no-twos-or-threes" harmony after the extremely wide pentave, and the awkwardly narrow small septimal tritone. It is also a relatively strong consonance. Many, but not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy.
The simplest chord without 2's or 3's that sounds consonant and stable is 11:13:17, so it can be viewed as the fundamental sonority of no-twos-or-threes music. A neutral ninth-reduced stack of four 121/85's fall short of 17/13 by the small comma 2093663/2088025. Tempering out this comma together with the additional comma 54925/54043 results in catfish temperament, which can be viewed as an analog to meantone. It possesses MOS scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>.
ED11/5-EDO correspondence
| ED11/5 | EDO |
|---|---|
| 8ed11/5 | 7edo |
| 9ed11/5 | 8edo |
| 16ed11/5 | 14edo |
| 18ed11/5 | 16edo |
| 24ed11/5 | 21edo |
| 25ed11/5 | 22edo |
| 27ed11/5 | 24edo |
| 33ed11/5 | 29edo |
| 50ed11/5 | 44edo |