966edo: Difference between revisions
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m -stub Already long enough for such a big edo, though of course feel free to expand anyway, just doesn’t need a stub message |
m changed EDO intro to ED intro |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
=== Odd harmonics === | === Odd harmonics === | ||
966edo has a good approximation of the [[11-limit]], with its primes 7 and 11, along with odd 15, borrowed from [[161edo]]. | 966edo has a good approximation of the [[11-limit]], with its primes 7 and 11, along with odd 15, borrowed from [[161edo]]. | ||
{{Harmonics in equal|966}} | {{Harmonics in equal|966}} | ||
Latest revision as of 06:45, 20 February 2025
| ← 965edo | 966edo | 967edo → |
966 equal divisions of the octave (abbreviated 966edo or 966ed2), also called 966-tone equal temperament (966tet) or 966 equal temperament (966et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 966 equal parts of about 1.24 ¢ each. Each step represents a frequency ratio of 21/966, or the 966th root of 2.
Odd harmonics
966edo has a good approximation of the 11-limit, with its primes 7 and 11, along with odd 15, borrowed from 161edo.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.092 | +0.022 | +0.118 | +0.235 | +0.466 | -0.608 | -0.619 | +0.297 | +0.236 | +0.306 |
| Relative (%) | +0.0 | -7.4 | +1.7 | +9.5 | +18.9 | +37.5 | -48.9 | -49.8 | +23.9 | +19.0 | +24.6 | |
| Steps (reduced) |
966 (0) |
1531 (565) |
2243 (311) |
2712 (780) |
3342 (444) |
3575 (677) |
3948 (84) |
4103 (239) |
4370 (506) |
4693 (829) |
4786 (922) | |