272edo
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Prime factorization
24 × 17
Step size
4.41176¢
Fifth
159\272 (701.471¢)
Semitones (A1:m2)
25:21 (110.3¢ : 92.65¢)
Consistency limit
3
Distinct consistency limit
3
| ← 271edo | 272edo | 273edo → |
272 equal divisions of the octave (abbreviated 272edo or 272ed2), also called 272-tone equal temperament (272tet) or 272 equal temperament (272et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 272 equal parts of about 4.41 ¢ each. Each step represents a frequency ratio of 21/272, or the 272nd root of 2.
It is part of the optimal ET sequence for the 559 & 2513, houborizic, persephone, photia, shaka and tremka temperaments.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | -0.48 | +1.92 | +1.76 | +0.15 | +2.12 | +0.93 | -1.92 | -1.80 | -1.64 | +2.02 |
| Relative (%) | +0.0 | -11.0 | +43.6 | +39.9 | +3.5 | +48.0 | +21.0 | -43.6 | -40.9 | -37.1 | +45.9 | |
| Steps (reduced) |
272 (0) |
431 (159) |
632 (88) |
764 (220) |
941 (125) |
1007 (191) |
1112 (24) |
1155 (67) |
1230 (142) |
1321 (233) |
1348 (260) | |
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