624edo: Difference between revisions
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{{EDO intro|624}} | |||
624edo is consistent to the [[27-odd-limit]], tempering out 6115295232/6103515625 ([[vishnuzma]]) and {{monzo| -69 45 -1 }} ([[counterschisma]]) in the 5-limit; [[250047/250000]], 2460375/2458624, and 134217728/133984375 in the 7-limit; [[9801/9800]], 46656/46585, [[131072/130977]], and 151263/151250 in the 11-limit; [[1716/1715]], [[2080/2079]], [[4096/4095]], 34398/34375, and 39366/39325 in the 13-limit; [[936/935]], [[1701/1700]], [[2025/2023]], and 2058/2057 in the 17-limit; [[1521/1520]], 2376/2375, 2432/2431, and 3328/3325 in the 19-limit; 2024/2023, 2025/2024, and 3888/3887 in the 23-limit. | |||
{{Harmonics in equal|624|columns=11}} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
Revision as of 20:31, 29 August 2022
624edo is consistent to the 27-odd-limit, tempering out 6115295232/6103515625 (vishnuzma) and [-69 45 -1⟩ (counterschisma) in the 5-limit; 250047/250000, 2460375/2458624, and 134217728/133984375 in the 7-limit; 9801/9800, 46656/46585, 131072/130977, and 151263/151250 in the 11-limit; 1716/1715, 2080/2079, 4096/4095, 34398/34375, and 39366/39325 in the 13-limit; 936/935, 1701/1700, 2025/2023, and 2058/2057 in the 17-limit; 1521/1520, 2376/2375, 2432/2431, and 3328/3325 in the 19-limit; 2024/2023, 2025/2024, and 3888/3887 in the 23-limit.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.032 | +0.225 | +0.405 | +0.605 | -0.143 | +0.814 | +0.564 | +0.572 | -0.731 | -0.805 |
| Relative (%) | +0.0 | -1.7 | +11.7 | +21.1 | +31.5 | -7.4 | +42.3 | +29.3 | +29.7 | -38.0 | -41.8 | |
| Steps (reduced) |
624 (0) |
989 (365) |
1449 (201) |
1752 (504) |
2159 (287) |
2309 (437) |
2551 (55) |
2651 (155) |
2823 (327) |
3031 (535) |
3091 (595) | |