235edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|235}}
{{ED intro}}
 
It is part of the [[optimal ET sequence]] for the [[langwidge]], [[protolangwidge]], [[stacks]], [[superthird]] and [[tridec]] temperaments.


=== Odd harmonics ===
=== Odd harmonics ===

Latest revision as of 06:49, 20 February 2025

← 234edo 235edo 236edo →
Prime factorization 5 × 47
Step size 5.10638 ¢ 
Fifth 137\235 (699.574 ¢)
Semitones (A1:m2) 19:20 (97.02 ¢ : 102.1 ¢)
Dual sharp fifth 138\235 (704.681 ¢)
Dual flat fifth 137\235 (699.574 ¢)
Dual major 2nd 40\235 (204.255 ¢) (→ 8\47)
Consistency limit 3
Distinct consistency limit 3

235 equal divisions of the octave (abbreviated 235edo or 235ed2), also called 235-tone equal temperament (235tet) or 235 equal temperament (235et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 235 equal parts of about 5.11 ¢ each. Each step represents a frequency ratio of 21/235, or the 235th root of 2.

It is part of the optimal ET sequence for the langwidge, protolangwidge, stacks, superthird and tridec temperaments.

Odd harmonics

Approximation of odd harmonics in 235edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -2.38 +1.77 +1.39 +0.35 +0.17 +2.03 -0.61 +2.28 -1.34 -0.99 -0.19
Relative (%) -46.6 +34.7 +27.2 +6.8 +3.4 +39.7 -11.9 +44.6 -26.3 -19.5 -3.7
Steps
(reduced)
372
(137)
546
(76)
660
(190)
745
(40)
813
(108)
870
(165)
918
(213)
961
(21)
998
(58)
1032
(92)
1063
(123)


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