304edo
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Prime factorization
24 × 19
Step size
3.94737¢
Fifth
178\304 (702.632¢) (→89\152)
Semitones (A1:m2)
30:22 (118.4¢ : 86.84¢)
Consistency limit
5
Distinct consistency limit
5
| ← 303edo | 304edo | 305edo → |
304 equal divisions of the octave (abbreviated 304edo or 304ed2), also called 304-tone equal temperament (304tet) or 304 equal temperament (304et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 304 equal parts of about 3.95 ¢ each. Each step represents a frequency ratio of 21/304, or the 304th root of 2.
Theory
Compared to 152edo, which it divides in half, it differs in patent val from the 7-limit onwards. It tempers out 441/440, 5632/5625, and the seascape comma.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.68 | +0.53 | -1.72 | +1.31 | +0.26 | +1.62 | -1.46 | -0.64 | +0.69 | -0.30 |
| Relative (%) | +0.0 | +17.1 | +13.4 | -43.6 | +33.3 | +6.6 | +41.1 | -37.0 | -16.3 | +17.4 | -7.6 | |
| Steps (reduced) |
304 (0) |
482 (178) |
706 (98) |
853 (245) |
1052 (140) |
1125 (213) |
1243 (27) |
1291 (75) |
1375 (159) |
1477 (261) |
1506 (290) | |