# 304edo

 ← 303edo 304edo 305edo →
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

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.

Approximation of prime harmonics in 304edo
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)