1643edo: Difference between revisions

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Created page with "{{EDO intro|1643}} == Theory == {{Harmonics in equal|1643}} 1643edo is the multiple of two very famous EDOs: 31edo and 53edo. The best subgroup for it is the 2.3.5.9..."
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Revision as of 20:12, 2 September 2022

Template:EDO intro

Theory

Approximation of odd harmonics in 1643edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.068 +0.053 -0.354 -0.136 +0.112 +0.130 -0.016 +0.218 -0.252 +0.309 -0.155
Relative (%) -9.3 +7.2 -48.4 -18.7 +15.4 +17.8 -2.1 +29.9 -34.5 +42.2 -21.2
Steps
(reduced)
2604
(961)
3815
(529)
4612
(1326)
5208
(279)
5684
(755)
6080
(1151)
6419
(1490)
6716
(144)
6979
(407)
7217
(645)
7432
(860)

1643edo is the multiple of two very famous EDOs: 31edo and 53edo.

The best subgroup for it is the 2.3.5.9.11.13.15 subgroup. Nonetheless, it provides the optimal patent val for the 13-limit version of iodine temperament, which tempers out the Mercator's comma and has a basis 6656/6655, 34398/34375, 43904/43875, 59535/59488.