# 302edo

 ← 301edo 302edo 303edo →
Prime factorization 2 × 151
Step size 3.97351¢
Fifth 177\302 (703.311¢)
Semitones (A1:m2) 31:21 (123.2¢ : 83.44¢)
Dual sharp fifth 177\302 (703.311¢)
Dual flat fifth 176\302 (699.338¢) (→88\151)
Dual major 2nd 51\302 (202.649¢)
Consistency limit 3
Distinct consistency limit 3

302 equal divisions of the octave (abbreviated 302edo or 302ed2), also called 302-tone equal temperament (302tet) or 302 equal temperament (302et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 302 equal parts of about 3.97 ¢ each. Each step represents a frequency ratio of 21/302, or the 302nd root of 2.

## Theory

Approximation of odd harmonics in 302edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +1.36 -0.88 +0.71 -1.26 +1.00 +1.86 +0.47 -1.64 +0.50 -1.91 -0.46
Relative (%) +34.1 -22.2 +17.9 -31.7 +25.2 +46.7 +11.9 -41.4 +12.6 -48.0 -11.6
Steps
(reduced)
479
(177)
701
(97)
848
(244)
957
(51)
1045
(139)
1118
(212)
1180
(274)
1234
(26)
1283
(75)
1326
(118)
1366
(158)

### Subsets and supersets

Since 302 factors into 2 × 151, 302edo has 2edo and 151edo as its subsets. 906edo, which triples it, gives a good correction to the harmonic 3.

## Interval table

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