759edo

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Revision as of 17:44, 13 February 2025 by Eliora (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|759}} 759edo is enfactored in the 5-limit, with the same tuning as 253edo. With octave stretching, one may use 2.7.11.13 s...")
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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.


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.