235edo
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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
| ← 234edo | 235edo | 236edo → |
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
| 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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