# 672edo

 ← 671edo 672edo 673edo →
Prime factorization 25 × 3 × 7
Step size 1.78571¢
Fifth 393\672 (701.786¢) (→131\224)
Semitones (A1:m2) 63:51 (112.5¢ : 91.07¢)
Consistency limit 5
Distinct consistency limit 5

672 equal divisions of the octave (abbreviated 672edo or 672ed2), also called 672-tone equal temperament (672tet) or 672 equal temperament (672et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 672 equal parts of about 1.79 ¢ each. Each step represents a frequency ratio of 21/672, or the 672nd root of 2.

672edo is enfactored in the 13-limit, with the same tuning as 224edo, which is a zeta edo. Using the 672c val, it is a tuning for the hera temperament.

### Prime harmonics

Approximation of prime harmonics in 672edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.169 -0.599 +0.817 +0.468 +0.544 +0.402 +0.701 +0.297 +0.780 -0.393
Relative (%) +0.0 -9.5 -33.6 +45.7 +26.2 +30.5 +22.5 +39.3 +16.6 +43.7 -22.0
Steps
(reduced)
672
(0)
1065
(393)
1560
(216)
1887
(543)
2325
(309)
2487
(471)
2747
(59)
2855
(167)
3040
(352)
3265
(577)
3329
(641)

### Subsets and supersets

672edo is a largely composite edo with many subset edos: 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, and 336.