User:Fitzgerald Lee/Sandbox: Difference between revisions
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First edos to have an N number of thirds (range is [[15/13]] to [[13/10]], closest JI interpretation that is consistent in the edo’s [[odd limit]] is chosen): | First edos to have an N number of thirds (range is [[15/13]] to [[13/10]], closest JI interpretation that is consistent in the edo’s [[odd limit]] is chosen): | ||
{|class="wikitable" | |||
[[0edo]] or [[1edo]] | !rowspan="1"|Number of thirds!!rowspan="1"|[[Edo]]!!rowspan="1"|Thirds | ||
|- | |||
[[3edo]] | |0||[[0edo|0]] or [[1edo|1]]||None | ||
|- | |||
[[5edo]] | |1||[[3edo|3]]||[[5/4]] | ||
|- | |||
[[15edo]] | |2||[[5edo|5]]||[[7/6]], [[9/7]] | ||
|- | |||
[[19edo]] | |3||[[15edo|15]]||7/6, [[6/5]], 5/4 | ||
|- | |||
[[26edo]] | |4||[[19edo|19]]||7/6, 6/5, 5/4, 9/7 | ||
|- | |||
[[29edo]] | |5||[[26edo|26]]||7/6, 6/5, [[16/13]], [[14/11]], [[13/10]] | ||
|- | |||
[[41edo]] | |6||[[29edo|29]]||[[15/13]], [[13/11]], 6/5, 16/13, 14/11, 13/10 | ||
|- | |||
( | |7||(41)||(~) | ||
|- | |||
|8||[[41edo|41]]||15/13, 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). | |||
Revision as of 10:59, 5 November 2025
First edos to have an N number of thirds (range is 15/13 to 13/10, closest JI interpretation that is consistent in the edo’s odd limit is chosen):
| 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 | 15/13, 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).