487edo: Difference between revisions
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== Theory == | == Theory == | ||
{{Harmonics in equal|487}} | 487et tempers out {{monzo| 24 -21 4 }} ([[vulture comma]]) and {{monzo| 55 -1 -23 }} in the 5-limit, [[4375/4374]], [[235298/234375]], [[28824005/28697814]], and [[33554432/33480783]] in the 7-limit, [[5632/5625]], [[19712/19683]], [[41503/41472]] in the 11-limit, [[676/675]], [[1001/1000]], [[2080/2079]], [[4096/4095]], and [[4225/4224]] in the 13-limit. It supports [[semidimfourth]], [[seniority]], and [[vulture]]. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|487|columns=11}} | |||
=== Miscellaneous properties === | |||
487edo is the 93rd [[prime edo]]. | |||
== Scales == | == Scales == | ||
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[[Category:487edo| ]] <!-- main article --> | [[Category:487edo| ]] <!-- main article --> | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Prime EDO]] | |||
[[Category:Silver]] | [[Category:Silver]] | ||
Revision as of 09:18, 31 October 2022
| ← 486edo | 487edo | 488edo → |
Theory
487et tempers out [24 -21 4⟩ (vulture comma) and [55 -1 -23⟩ in the 5-limit, 4375/4374, 235298/234375, 28824005/28697814, and 33554432/33480783 in the 7-limit, 5632/5625, 19712/19683, 41503/41472 in the 11-limit, 676/675, 1001/1000, 2080/2079, 4096/4095, and 4225/4224 in the 13-limit. It supports semidimfourth, seniority, and vulture.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.30 | +0.54 | -0.45 | +0.63 | -0.28 | +1.00 | +0.64 | +0.06 | +0.40 | +0.75 |
| Relative (%) | +0.0 | +12.3 | +22.1 | -18.2 | +25.7 | -11.4 | +40.6 | +25.9 | +2.5 | +16.3 | +30.6 | |
| Steps (reduced) |
487 (0) |
772 (285) |
1131 (157) |
1367 (393) |
1685 (224) |
1802 (341) |
1991 (43) |
2069 (121) |
2203 (255) |
2366 (418) |
2413 (465) | |
Miscellaneous properties
487edo is the 93rd prime edo.