1224edo: Difference between revisions

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{{EDO intro|1224}}
{{EDO intro|1224}}


==Theory==
{{Harmonics in equal|1224}}
1224edo is the optimal patent val of 19-limit semihemiennealimmal temperament.
1224edo is the optimal patent val of 19-limit semihemiennealimmal temperament.

Revision as of 22:48, 1 June 2023

← 1223edo 1224edo 1225edo →
Prime factorization 23 × 32 × 17
Step size 0.980392 ¢ 
Fifth 716\1224 (701.961 ¢) (→ 179\306)
Semitones (A1:m2) 116:92 (113.7 ¢ : 90.2 ¢)
Consistency limit 21
Distinct consistency limit 21

Template:EDO intro

Theory

Approximation of prime harmonics in 1224edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.006 -0.039 -0.198 -0.338 -0.332 -0.053 -0.454 +0.157 -0.165 +0.062
Relative (%) +0.0 +0.6 -4.0 -20.2 -34.4 -33.8 -5.5 -46.3 +16.0 -16.9 +6.4
Steps
(reduced)
1224
(0)
1940
(716)
2842
(394)
3436
(988)
4234
(562)
4529
(857)
5003
(107)
5199
(303)
5537
(641)
5946
(1050)
6064
(1168)

1224edo is the optimal patent val of 19-limit semihemiennealimmal temperament.