487edo

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Revision as of 09:18, 31 October 2022 by FloraC (talk | contribs) (Expansion)
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← 486edo 487edo 488edo →
Prime factorization 487 (prime)
Step size 2.46407 ¢ 
Fifth 285\487 (702.259 ¢)
Semitones (A1:m2) 47:36 (115.8 ¢ : 88.71 ¢)
Consistency limit 13
Distinct consistency limit 13

Template:EDO intro

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

Approximation of prime harmonics in 487edo
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.

Scales