933edo: Difference between revisions
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As the triple of [[311edo]], 933edo offers some correction to primes like 17, but just like with [[622edo]] its [[consistency|consistency limit]] is drastically reduced when compared to 311edo. | As the triple of [[311edo]], 933edo offers some correction to primes like 17, but just like with [[622edo]] its [[consistency|consistency limit]] is drastically reduced when compared to 311edo. | ||
Latest revision as of 06:59, 20 February 2025
| ← 932edo | 933edo | 934edo → |
933 equal divisions of the octave (abbreviated 933edo or 933ed2), also called 933-tone equal temperament (933tet) or 933 equal temperament (933et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 933 equal parts of about 1.29 ¢ each. Each step represents a frequency ratio of 21/933, or the 933rd root of 2.
As the triple of 311edo, 933edo offers some correction to primes like 17, but just like with 622edo its consistency limit is drastically reduced when compared to 311edo.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.296 | -0.462 | -0.337 | +0.451 | +0.630 | +0.511 | -0.407 | -0.622 | -0.638 | -0.341 | -0.540 |
| Relative (%) | +0.0 | +23.0 | -35.9 | -26.2 | +35.0 | +49.0 | +39.7 | -31.6 | -48.3 | -49.6 | -26.5 | -42.0 | |
| Steps (reduced) |
933 (0) |
1479 (546) |
2166 (300) |
2619 (753) |
3228 (429) |
3453 (654) |
3814 (82) |
3963 (231) |
4220 (488) |
4532 (800) |
4622 (890) |
4860 (195) | |
|
Todo: explain its xenharmonic value |