312edo: Difference between revisions
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Created page with "{{Infobox ET}} {{EDO intro|312}} == Theory == {{Harmonics in equal|312|columns=12}} This EDO is the first multiple of 12 to be a dual-fifth system." |
→Theory: expand, many multiples of 12 are dual fifth |
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== Theory == | == 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. | |||
{{Harmonics in equal|312|columns=12}} | {{Harmonics in equal|312|columns=12}} | ||
Revision as of 22:12, 16 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.
| 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) | |