User:Aura/762148edo: Difference between revisions
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Prime factorization
22 × 190537
Step size
0.0015745 ¢
Fifth
445828\762148 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2)
72204:57304 (113.7 ¢ : 90.22 ¢)
Consistency limit
17
Distinct consistency limit
17
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Revision as of 03:59, 9 July 2023
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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. |
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| ← 762147edo | 762148edo | 762149edo → |
Theory
This EDO has a consistency limit of 17, but seems to be at its best in the 11-limit. It tempers out the Archangelic comma in the 3-limit.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000000 | +0.000000 | +0.000230 | +0.000096 | +0.000174 | +0.000425 | +0.000583 | -0.000722 | +0.000476 | -0.000786 | +0.000300 |
| Relative (%) | +0.0 | +0.0 | +14.6 | +6.1 | +11.1 | +27.0 | +37.0 | -45.9 | +30.2 | -49.9 | +19.0 | |
| Steps (reduced) |
762148 (0) |
1207976 (445828) |
1769653 (245357) |
2139620 (615324) |
2636599 (350155) |
2820283 (533839) |
3115252 (66660) |
3237549 (188957) |
3447624 (399032) |
3702500 (653908) |
3775831 (727239) | |