User:Fitzgerald Lee/Sandbox: Difference between revisions
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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): | |||
{|class="wikitable" | {|class="wikitable" | ||
!rowspan="1"|Number of thirds!!rowspan="1"|[[Edo]]!!rowspan="1"|Thirds | !rowspan="1"|Number of thirds!!rowspan="1"|[[Edo]]!!rowspan="1"|Thirds | ||
Revision as of 11:11, 5 November 2025
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).