1672edo

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← 1671edo1672edo1673edo →
Prime factorization 23 × 11 × 19
Step size 0.717703¢ 
Fifth 978\1672 (701.914¢) (→489\836)
Semitones (A1:m2) 158:126 (113.4¢ : 90.43¢)
Consistency limit 17
Distinct consistency limit 17

1672 equal divisions of the octave (abbreviated 1672edo or 1672ed2), also called 1672-tone equal temperament (1672tet) or 1672 equal temperament (1672et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1672 equal parts of about 0.718 ¢ each. Each step represents a frequency ratio of 21/1672, or the 1672nd root of 2.

1672edo is consistent in the 17-odd-limit. In the 11-limit it has the same mapping as 836edo and it corrects the mapping for 13. It is a strong tuning for the rank-6 sperasmic temperament tempering out 2500/2499.

Prime harmonics

Approximation of prime harmonics in 1672edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.041 -0.189 +0.074 -0.122 -0.097 -0.171 +0.334 -0.284 +0.327 -0.299
Relative (%) +0.0 -5.7 -26.4 +10.3 -17.0 -13.5 -23.8 +46.5 -39.6 +45.6 -41.6
Steps
(reduced)
1672
(0)
2650
(978)
3882
(538)
4694
(1350)
5784
(768)
6187
(1171)
6834
(146)
7103
(415)
7563
(875)
8123
(1435)
8283
(1595)