User:Fredg999/99693edo
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Prime factorization
32 × 11 × 19 × 53
Step size
0.012037 ¢
Fifth
58317\99693 (701.959 ¢) (→ 19439\33231)
Semitones (A1:m2)
9447:7494 (113.7 ¢ : 90.2 ¢)
Dual sharp fifth
58317\99693 (701.959 ¢) (→ 19439\33231)
Dual flat fifth
58316\99693 (701.947 ¢)
Dual major 2nd
16940\99693 (203.906 ¢) (→ 1540\9063)
Consistency limit
7
Distinct consistency limit
7
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
| ← 99692edo | 99693edo | 99694edo → |
99693edo is notable for being the edo below 100000 with the lowest maximum error, using direct approximation for each harmonic, for the first 547 harmonics (547 being the 100th prime number).
Prime harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | 25 | 27 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.004 | +0.000 | +0.004 | -0.004 | -0.001 | +0.001 | +0.004 | -0.005 | +0.004 | -0.004 | -0.006 | +0.001 | +0.000 | +0.004 | +0.004 |
| Relative (%) | +33.3 | +2.2 | +36.6 | -33.3 | -11.6 | +6.3 | +35.6 | -43.3 | +36.2 | -30.1 | -46.2 | +4.5 | +0.0 | +30.1 | +30.7 | |
| Steps (reduced) |
158010 (58317) |
231480 (32094) |
279874 (80488) |
316019 (16940) |
344881 (45802) |
368908 (69829) |
389490 (90411) |
407491 (8719) |
423489 (24717) |
437883 (39111) |
450967 (52195) |
462960 (64188) |
474029 (75257) |
484307 (85535) |
493899 (95127) | |