273edo
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Prime factorization
3 × 7 × 13
Step size
4.3956¢
Fifth
160\273 (703.297¢)
Semitones (A1:m2)
28:19 (123.1¢ : 83.52¢)
Consistency limit
5
Distinct consistency limit
5
| ← 272edo | 273edo | 274edo → |
273 equal divisions of the octave (abbreviated 273edo or 273ed2), also called 273-tone equal temperament (273tet) or 273 equal temperament (273et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 273 equal parts of about 4.4 ¢ each. Each step represents a frequency ratio of 21/273, or the 273rd root of 2.
It is part of the optimal ET sequence for the akjayland, denjoy, grendel, kiribati, magus, mystic, and neutron temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.34 | +0.50 | -1.79 | -1.71 | -1.87 | -0.97 | +1.84 | +0.54 | +1.39 | -0.45 | +0.30 |
| Relative (%) | +30.5 | +11.4 | -40.8 | -39.0 | -42.5 | -22.0 | +41.9 | +12.3 | +31.6 | -10.3 | +6.8 | |
| Steps (reduced) |
433 (160) |
634 (88) |
766 (220) |
865 (46) |
944 (125) |
1010 (191) |
1067 (248) |
1116 (24) |
1160 (68) |
1199 (107) |
1235 (143) | |
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