415edo: Difference between revisions
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{{Infobox ET}} | |||
{{EDO intro|415}} | {{EDO intro|415}} | ||
Revision as of 06:33, 9 July 2023
| ← 414edo | 415edo | 416edo → |
If harmonic 5 is used, 415edo tends very sharp. In the 5-limit the equal temperament tempers out the parakleisma, [8 14 -13⟩; in the 7-limit 3136/3125 and 4375/4374, so that it supports the parakleismic temperament and provides the optimal patent val.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.70 | +1.16 | -0.15 | +1.39 | +0.97 | +0.92 | -1.04 | -0.86 | +0.32 | +0.54 | -0.80 |
| Relative (%) | +24.1 | +40.0 | -5.2 | +48.1 | +33.6 | +31.8 | -36.0 | -29.7 | +11.0 | +18.8 | -27.8 | |
| Steps (reduced) |
658 (243) |
964 (134) |
1165 (335) |
1316 (71) |
1436 (191) |
1536 (291) |
1621 (376) |
1696 (36) |
1763 (103) |
1823 (163) |
1877 (217) | |