User:Fitzgerald Lee/Sandbox: Difference between revisions
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|13||[[80edo|80]]||[[22/19]], 7/6, 20/17, [[19/16]], 6/5, 17/14, 11/9, 16/13, 5/4, [[24/19]], 14/11, 9/7, 22/17||(94)||(~) | |13||[[80edo|80]]||[[22/19]], 7/6, 20/17, [[19/16]], 6/5, 17/14, 11/9, 16/13, 5/4, [[24/19]], 14/11, 9/7, 22/17||(94)||(~) | ||
|- | |- | ||
|14||(94)||(~) | |14||(94)||(~)|||| | ||
|- | |- | ||
|15||(94)||(~) | |15||(94)||(~)|||| | ||
|- | |- | ||
|16||[[94edo|94]]||[[23/20]], 22/19, 7/6, 20/17, 19/16, 6/5, [[23/19]], 11/9, 16/13, 26/21, 5/4, [[19/15]], [[23/18]], 9/7, 22/17, [[30/23]] | |16||[[94edo|94]]||[[23/20]], 22/19, 7/6, 20/17, 19/16, 6/5, [[23/19]], 11/9, 16/13, 26/21, 5/4, [[19/15]], [[23/18]], 9/7, 22/17, [[30/23]]|||| | ||
|} | |} | ||
This list could be used to get the minimal edos to add more flavours (of thirds). | This list could be used to get the minimal edos to add more flavours (of thirds). | ||
Revision as of 05:07, 6 November 2025
First and second edos to have N number of consistent thirds (range is 15/13 to 13/10, closest JI interpretation that is consistent in the edo’s odd limit is shown):
| Number of thirds | First edo | Thirds | Second edo | Thirds |
|---|---|---|---|---|
| 0 | 0 or 1 | None | 1 or 2 | None |
| 1 | 3 | 5/4 | 4 | 6/5 |
| 2 | 5 | 7/6, 9/7 | 8 | 6/5, 5/4 |
| 3 | 15 | 7/6, 6/5, 5/4 | 18 | 7/6, 6/5, 5/4 |
| 4 | 19 | 7/6, 6/5, 5/4, 9/7 | 22 | 7/6, 6/5, 5/4, 9/7 |
| 5 | 26 | 7/6, 6/5, 16/13, 14/11, 13/10 | 31 | 7/6, 6/5, 5/4, 11/9, 14/11 |
| 6 | 29 | 15/13, 13/11, 6/5, 16/13, 14/11, 13/10 | (41) | (~) |
| 7 | (41) | (~) | (58) | (~) |
| 8 | (41) | (~) | (58) | (~) |
| 9 | 41 | 15/13, 7/6, 13/11, 6/5, 11/9, 5/4, 14/11, 9/7, 13/10 | (58) | (~) |
| 10 | 58 | 15/13, 7/6, 13/11, 6/5, 17/14, 11/9, 5/4, 14/11, 9/7, 13/10 | (72) | (~) |
| 11 | 72 | 15/13, 7/6, 20/17, 6/5, 17/14, 11/9, 16/13, 5/4, 14/11, 9/7, 22/17 | (80) | (~) |
| 12 | (80) | (~) | (94) | (~) |
| 13 | 80 | 22/19, 7/6, 20/17, 19/16, 6/5, 17/14, 11/9, 16/13, 5/4, 24/19, 14/11, 9/7, 22/17 | (94) | (~) |
| 14 | (94) | (~) | ||
| 15 | (94) | (~) | ||
| 16 | 94 | 23/20, 22/19, 7/6, 20/17, 19/16, 6/5, 23/19, 11/9, 16/13, 26/21, 5/4, 19/15, 23/18, 9/7, 22/17, 30/23 |
This list could be used to get the minimal edos to add more flavours (of thirds).