1641edo

Revision as of 16:29, 12 December 2023 by Aura (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|1641}} == Theory == This EDO corrects the mappings of 547edo for the 7-prime and the 11-prime, but is only consistent up to the 11-limit. ===...")
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Template:EDO intro

← 1640edo 1641edo 1642edo →
Prime factorization 3 × 547
Step size 0.731261 ¢ 
Fifth 960\1641 (702.011 ¢) (→ 320\547)
Semitones (A1:m2) 156:123 (114.1 ¢ : 89.95 ¢)
Consistency limit 11
Distinct consistency limit 11

Theory

This EDO corrects the mappings of 547edo for the 7-prime and the 11-prime, but is only consistent up to the 11-limit.

Prime harmonics

Approximation of prime harmonics in 1641edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.056 -0.208 +0.095 +0.053 -0.308 +0.346 +0.110 -0.121 +0.039 +0.120
Relative (%) +0.0 +7.7 -28.4 +13.1 +7.3 -42.2 +47.3 +15.1 -16.5 +5.3 +16.4
Steps
(reduced)
1641
(0)
2601
(960)
3810
(528)
4607
(1325)
5677
(754)
6072
(1149)
6708
(144)
6971
(407)
7423
(859)
7972
(1408)
8130
(1566)