1407edo

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← 1406edo1407edo1408edo →
Prime factorization 3 × 7 × 67
Step size 0.852878¢
Fifth 823\1407 (701.919¢)
Semitones (A1:m2) 133:106 (113.4¢ : 90.41¢)
Consistency limit 11
Distinct consistency limit 11

1407 equal divisions of the octave (1407edo), or 1407-tone equal temperament (1407tet), 1407 equal temperament (1407et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 1407 equal parts of about 0.853 ¢ each.

Theory

Approximation of prime harmonics in 1407edo
Harmonic 2 3 5 7 11 13 17 19 23 29
Error absolute (¢) +0.000 -0.036 +0.040 +0.044 -0.358 +0.411 -0.051 +0.142 +0.297 -0.153
relative (%) +0 -4 +5 +5 -42 +48 -6 +17 +35 -18
Steps
(reduced)
1407
(0)
2230
(823)
3267
(453)
3950
(1136)
4867
(646)
5207
(986)
5751
(123)
5977
(349)
6365
(737)
6835
(1207)

1407edo is excellent in the 7-limit, in which it supports the 441 & 1407 akjayland temperament with period 21. Just like 441edo, it tempers out the akjaysma and the landscape comma. However, unlike 441edo it does not temper out the tritrizo comma, since 1407 is not divisible by 9.

1407's divisors are 1, 3, 7, 21, 67, 201, 469.