703edo

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← 702edo 703edo 704edo →
Prime factorization 19 × 37
Step size 1.70697 ¢ 
Fifth 411\703 (701.565 ¢)
Semitones (A1:m2) 65:54 (111 ¢ : 92.18 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

703 = 19 × 37, and the equal temperament tempers out the enneadeca, [-14 -19 19. In the 7-limit the patent val tempers out 16875/16807 and 65635/65536 and in the 11-limit 1375/1372, 540/539 and 3025/3024, so that it supports and gives the optimal patent val for indra and eris. In the 13-limit, it tempers out 729/728, 2080/2079 and 6656/6655, and provides the optimal patent val for shibi.

Odd harmonics

Approximation of odd harmonics in 703edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.390 -0.538 +0.733 -0.781 +0.033 -0.698 +0.778 -0.830 -0.500 +0.343 -0.109
Relative (%) -22.9 -31.5 +42.9 -45.7 +2.0 -40.9 +45.6 -48.6 -29.3 +20.1 -6.4
Steps
(reduced)
1114
(411)
1632
(226)
1974
(568)
2228
(119)
2432
(323)
2601
(492)
2747
(638)
2873
(61)
2986
(174)
3088
(276)
3180
(368)