312edo: Difference between revisions
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→Theory: expand, many multiples of 12 are dual fifth |
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This EDO is the first multiple of 12 to have a patent val fifth that does not correspond to the 12edo fifth of 700 cents. | This EDO is the first multiple of 12 to have a patent val fifth that does not correspond to the 12edo fifth of 700 cents. | ||
It is strong in the 2.7.9.15 subgroup. Beyond that, it's harmonic quality is quite poor. | It is strong in the 2.7.9.15 subgroup. Beyond that, it's harmonic quality is quite poor (for its size). | ||
{{Harmonics in equal|312|columns=12}} | {{Harmonics in equal|312|columns=12}} | ||
Revision as of 02:22, 17 June 2023
| ← 311edo | 312edo | 313edo → |
Theory
This EDO is the first multiple of 12 to have a patent val fifth that does not correspond to the 12edo fifth of 700 cents.
It is strong in the 2.7.9.15 subgroup. Beyond that, it's harmonic quality is quite poor (for its size).
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | 25 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.89 | -1.70 | +0.40 | -0.06 | -1.32 | +1.78 | +0.19 | -1.11 | -1.36 | -1.55 | -1.35 | +0.45 |
| Relative (%) | +49.2 | -44.2 | +10.5 | -1.7 | -34.3 | +46.3 | +5.0 | -28.8 | -35.3 | -40.3 | -35.1 | +11.7 | |
| Steps (reduced) |
495 (183) |
724 (100) |
876 (252) |
989 (53) |
1079 (143) |
1155 (219) |
1219 (283) |
1275 (27) |
1325 (77) |
1370 (122) |
1411 (163) |
1449 (201) | |