Omnidiatonic
Omnidiatonic (also known as interdia and archylino) is a 7-note max-variety-3 scale with the step pattern 2L 3m 2s. Omnidiatonic is a chiral scale with LmsmLsm and LmsLmsm variants. 14edo is the first equal division that supports omnidiatonic. The name "omnidiatonic" was given by CompactStar and the name "interdia" was given by Xenllium, both of which refer to this scale being intermediate between the 5L 2s diatonic scale and the 2L 5s andiatonic scale. As The name "archylino" was given by Praveen Venkataramana, which refers to intervals separated by 64/63, the Archytas comma, being mapped to the same number of scale steps of 2.3.7 JI archylino 1/1 9/8 7/6 4/3 3/2 14/9 7/4 2/1 (msLmsmL).
Omnidiatonic can be tuned as a 7-limit JI scale or a tempered version thereof, where L represents 8/7, m represents 9/8, and s represents 28/27.
Tunings
| Tuning | L | m | s | Comments |
|---|---|---|---|---|
| 14edo | 3 | 2 | 1 | |
| 16edo | 4 | 2 | 1 | Also has antidiatonic MOS |
| 18edo | 5 | 2 | 1 | Also has antidiatonic MOS |
| 19edo | 4 | 3 | 1 | Also has diatonic MOS |
| 20edo | 6 | 2 | 1 | Also has antidiatonic (but non-Mavila) MOS |
| 21edo | 4 | 3 | 2 | |
| 5 | 3 | 1 |