User:Fitzgerald Lee/Sandbox
Minimal edos to have N number of thirds (range is a consistent 15/13 to 13/10, closest JI interpretation that is consistent in the edo’s odd limit is shown):
| Number of thirds | Edo | Thirds |
|---|---|---|
| 0 | 0 or 1 | None |
| 1 | 3 | 5/4 |
| 2 | 5 | 7/6, 9/7 |
| 3 | 15 | 7/6, 6/5, 5/4 |
| 4 | 19 | 7/6, 6/5, 5/4, 9/7 |
| 5 | 26 | 7/6, 6/5, 16/13, 14/11, 13/10 |
| 6 | 29 | 15/13, 13/11, 6/5, 16/13, 14/11, 13/10 |
| 7 | (41) | (~) |
| 8 | (41) | (~) |
| 9 | 41 | 15/13, 7/6, 13/11, 6/5, 11/9, 5/4, 14/11, 9/7, 13/10 |
This list could be used to get the minimal edos to add more flavours (of thirds).