873edo

Revision as of 09:45, 20 October 2023 by FloraC (talk | contribs) (Adopt template: EDO intro; +prime error table; +subsets and supersets)
← 872edo 873edo 874edo →
Prime factorization 32 × 97
Step size 1.37457 ¢ 
Fifth 511\873 (702.405 ¢)
Semitones (A1:m2) 85:64 (116.8 ¢ : 87.97 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

The equal temperament tempers out the amity comma, 1600000/1594323, in the 5-limit, providing the optimal patent val for it.

Odd harmonics

Approximation of odd harmonics in 873edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.450 -0.059 +0.246 -0.474 -0.115 -0.665 +0.391 -0.488 -0.606 -0.678 -0.096
Relative (%) +32.8 -4.3 +17.9 -34.5 -8.4 -48.4 +28.5 -35.5 -44.1 -49.3 -7.0
Steps
(reduced)
1384
(511)
2027
(281)
2451
(705)
2767
(148)
3020
(401)
3230
(611)
3411
(792)
3568
(76)
3708
(216)
3834
(342)
3949
(457)

Subsets and supersets

Since 873 factors into 32 × 97, 873edo has subset edos 3, 9, 97, and 291.