759edo

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← 758edo 759edo 760edo →
Prime factorization 3 × 11 × 23
Step size 1.58103 ¢ 
Fifth 444\759 (701.976 ¢) (→ 148\253)
Semitones (A1:m2) 72:57 (113.8 ¢ : 90.12 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

759edo is enfactored in the 5-limit, with the same tuning as 253edo. With octave stretching, one may use 2.7.11.13 subgroup, all sharp, or 2.5.17.19.23.29.31 subgroup, all tuned flat. 759def val tunes noletaland, 282 & 1323 temperament, in the 23-limit. 759edo is an amazingly accurate 2.3.37.103.229 system.


Approximation of prime harmonics in 759edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.021 -0.543 +0.344 +0.461 +0.579 -0.608 -0.280 -0.606 -0.328 -0.372
Relative (%) +0.0 +1.3 -34.3 +21.8 +29.1 +36.6 -38.4 -17.7 -38.4 -20.8 -23.5
Steps
(reduced)
759
(0)
1203
(444)
1762
(244)
2131
(613)
2626
(349)
2809
(532)
3102
(66)
3224
(188)
3433
(397)
3687
(651)
3760
(724)

Subsets and supersets

759edo notably contains 253edo.