870edo

Revision as of 12:46, 12 July 2024 by Lériendil (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|870}} === Odd harmonics === {{Harmonics in equal|870}} === Subsets and supersets === Since 870 factors into {{factorization|870}}, 870edo has subs...")
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← 869edo 870edo 871edo →
Prime factorization 2 × 3 × 5 × 29
Step size 1.37931 ¢ 
Fifth 509\870 (702.069 ¢)
Semitones (A1:m2) 83:65 (114.5 ¢ : 89.66 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

Odd harmonics

Approximation of prime harmonics in 870edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.114 -0.107 -0.550 +0.406 -0.528 -0.128 +0.418 -0.688 -0.612 -0.208
Relative (%) +0.0 +8.3 -7.7 -39.9 +29.4 -38.3 -9.3 +30.3 -49.9 -44.3 -15.1
Steps
(reduced)
870
(0)
1379
(509)
2020
(280)
2442
(702)
3010
(400)
3219
(609)
3556
(76)
3696
(216)
3935
(455)
4226
(746)
4310
(830)

Subsets and supersets

Since 870 factors into 2 × 3 × 5 × 29, 870edo has subset edos 3, 9, 97, and 291.

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