237edo
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Prime factorization
3 × 79
Step size
5.06329¢
Fifth
139\237 (703.797¢)
Semitones (A1:m2)
25:16 (126.6¢ : 81.01¢)
Dual sharp fifth
139\237 (703.797¢)
Dual flat fifth
138\237 (698.734¢) (→46\79)
Dual major 2nd
40\237 (202.532¢)
Consistency limit
3
Distinct consistency limit
3
| ← 236edo | 237edo | 238edo → |
237 equal divisions of the octave (abbreviated 237edo or 237ed2), also called 237-tone equal temperament (237tet) or 237 equal temperament (237et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 237 equal parts of about 5.06 ¢ each. Each step represents a frequency ratio of 21/237, or the 237th root of 2.
It is part of the optimal ET sequence for the cypress, gariberttet, necromanteion, no-3s valinorsmic and undecimal sensamagic temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.84 | -1.50 | -1.74 | -1.38 | +0.58 | -0.02 | +0.34 | +1.37 | +1.22 | +0.11 | -0.43 |
| Relative (%) | +36.4 | -29.7 | -34.3 | -27.2 | +11.5 | -0.4 | +6.7 | +27.1 | +24.1 | +2.1 | -8.4 | |
| Steps (reduced) |
376 (139) |
550 (76) |
665 (191) |
751 (40) |
820 (109) |
877 (166) |
926 (215) |
969 (21) |
1007 (59) |
1041 (93) |
1072 (124) | |
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