1400edo

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Revision as of 14:34, 21 October 2023 by Eliora (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|1400}} 1400edo is good at the 2.3.19.23.29.31 subgroup. It provides the optimal patent val for the 5-limit vishnuzmic temperament. It...")
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← 1399edo 1400edo 1401edo →
Prime factorization 23 × 52 × 7
Step size 0.857143 ¢ 
Fifth 819\1400 (702 ¢) (→ 117\200)
Semitones (A1:m2) 133:105 (114 ¢ : 90 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

1400edo is good at the 2.3.19.23.29.31 subgroup. It provides the optimal patent val for the 5-limit vishnuzmic temperament. It also tempers out the linus comma and the barium comma.

Prime harmonics

Approximation of prime harmonics in 1400edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.045 +0.258 -0.254 -0.175 +0.329 -0.384 -0.084 +0.011 -0.149 +0.107
Relative (%) +0.0 +5.2 +30.1 -29.7 -20.4 +38.4 -44.8 -9.9 +1.3 -17.3 +12.5
Steps
(reduced)
1400
(0)
2219
(819)
3251
(451)
3930
(1130)
4843
(643)
5181
(981)
5722
(122)
5947
(347)
6333
(733)
6801
(1201)
6936
(1336)