1407edo: Difference between revisions

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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.
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 {{EDOs|1, 3, 7, 21, 67, 201, 469.}}
1407's divisors are {{EDOs|1, 3, 7, 21, 67, 201, 469}}.


[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
[[Category:Akjayland]]
[[Category:Akjayland]]

Revision as of 01:39, 4 July 2022

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.