# 305edo

 ← 304edo 305edo 306edo →
Prime factorization 5 × 61
Step size 3.93443¢
Fifth 178\305 (700.328¢)
Semitones (A1:m2) 26:25 (102.3¢ : 98.36¢)
Dual sharp fifth 179\305 (704.262¢)
Dual flat fifth 178\305 (700.328¢)
Dual major 2nd 52\305 (204.59¢)
Consistency limit 7
Distinct consistency limit 7

305 equal divisions of the octave (abbreviated 305edo or 305ed2), also called 305-tone equal temperament (305tet) or 305 equal temperament (305et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 305 equal parts of about 3.93 ¢ each. Each step represents a frequency ratio of 21/305, or the 305th root of 2.

305edo has a flat tendency, with the 3, 5, 7 and 11 of the patent val all flat, and the equal temperament tempers out 2109375/2097152, the semicomma (orson comma) in the 5-limit, 2401/2400 in the 7-limit, and 243/242, 441/440, and 540/539 in the 11-limit. It provides the optimal patent val for 7- and 11-limit neominor temperament.

### Odd harmonics

Approximation of odd harmonics in 305edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.63 -0.74 -0.96 +0.68 -0.50 +1.44 +1.57 +1.27 +1.50 +1.35 +1.23
Relative (%) -41.4 -18.8 -24.3 +17.3 -12.7 +36.6 +39.8 +32.4 +38.2 +34.3 +31.4
Steps
(reduced)
483
(178)
708
(98)
856
(246)
967
(52)
1055
(140)
1129
(214)
1192
(277)
1247
(27)
1296
(76)
1340
(120)
1380
(160)

### Subsets and supersets

Since 305 factors into 5 × 61, 305edo has 5edo and 61edo as its subsets.