314edo
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Prime factorization
2 × 157
Step size
3.82166¢
Fifth
184\314 (703.185¢) (→92\157)
Semitones (A1:m2)
32:22 (122.3¢ : 84.08¢)
Consistency limit
5
Distinct consistency limit
5
| ← 313edo | 314edo | 315edo → |
314 equal divisions of the octave (abbreviated 314edo or 314ed2), also called 314-tone equal temperament (314tet) or 314 equal temperament (314et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 314 equal parts of about 3.82 ¢ each. Each step represents a frequency ratio of 21/314, or the 314th root of 2.
It is part of the optimal ET sequence for the bridgetown and kleiboh temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.23 | -0.33 | +1.87 | -1.36 | -1.00 | +0.24 | +0.90 | -1.77 | +0.58 | -0.72 | -1.52 |
| Relative (%) | +32.2 | -8.5 | +49.1 | -35.6 | -26.2 | +6.2 | +23.6 | -46.3 | +15.1 | -18.8 | -39.8 | |
| Steps (reduced) |
498 (184) |
729 (101) |
882 (254) |
995 (53) |
1086 (144) |
1162 (220) |
1227 (285) |
1283 (27) |
1334 (78) |
1379 (123) |
1420 (164) | |
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