1407edo

Revision as of 22:09, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
← 1406edo 1407edo 1408edo →
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

Template:EDO intro

Theory

Approximation of prime harmonics in 1407edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.036 +0.040 +0.044 -0.358 +0.411 -0.051 +0.142 +0.297 -0.153 +0.380
Relative (%) +0.0 -4.2 +4.7 +5.2 -42.0 +48.1 -6.0 +16.6 +34.8 -17.9 +44.6
Steps
(reduced)
1407
(0)
2230
(823)
3267
(453)
3950
(1136)
4867
(646)
5207
(986)
5751
(123)
5977
(349)
6365
(737)
6835
(1207)
6971
(1343)

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.