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.
It is part of the optimal ET sequence for the hemikwai, hexadecoid, higanbana, insect, kalismic (rank 4), semihemienneadecal and swetismic (rank 4) temperaments.
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) | |