304edo

Revision as of 00:48, 21 September 2024 by BudjarnLambeth (talk | contribs) (+ It is part of the optimal ET sequence for the hemikwai, hexadecoid, higanbana, insect, kalismic (rank 4), semihemienneadecal and swetismic (rank 4) temperaments.)
← 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

Template:EDO intro

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.

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)