749edo

Revision as of 12:07, 20 October 2023 by FloraC (talk | contribs) (Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories)

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← 748edo 749edo 750edo →
Prime factorization 7 × 107
Step size 1.60214 ¢ 
Fifth 438\749 (701.736 ¢)
Semitones (A1:m2) 70:57 (112.1 ¢ : 91.32 ¢)
Consistency limit 7
Distinct consistency limit 7

The equal temperament tempers out the schisma, 32805/32768, and provides the optimal patent val for the 5-limit schismatic (helmholtz) temperament.

Prime harmonics

Approximation of prime harmonics in 749edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.219 -0.199 +0.466 -0.183 +0.594 +0.786 +0.484 -0.237 +0.596 +0.492
Relative (%) +0.0 -13.7 -12.4 +29.1 -11.4 +37.1 +49.0 +30.2 -14.8 +37.2 +30.7
Steps
(reduced)
749
(0)
1187
(438)
1739
(241)
2103
(605)
2591
(344)
2772
(525)
3062
(66)
3182
(186)
3388
(392)
3639
(643)
3711
(715)

Subsets and supersets

Since 749 factors into 7 × 107, 749edo contains 7edo and 107edo as its subsets.