1553edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|1553}} == Theory == 1553et tempers out 200120949/200000000 in the 7-limit; 759375/758912, 2359296/2358125, 369140625/369098752 and 102487/102400 in..." |
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{{EDO intro|1553}} | {{EDO intro|1553}} | ||
== Theory == | == Theory == | ||
1553et tempers out 200120949/200000000 in the 7-limit; 759375/758912, 2359296/2358125, 369140625/369098752 | 1553edo is only [[consistent]] to the 5-odd-limit and harmonic 3 is about halfway between its steps. Assume the [[patent val]], 1553et tempers out 200120949/200000000 in the 7-limit; 102487/102400, 759375/758912, 2359296/2358125, and 369140625/369098752 in the 11-limit; 1716/1715, 40656/40625, 59535/59488, 105644/105625, 196625/196608, 200000/199927, 823875/823543, 8859375/8859136, 34034175/34027136, and 75000000/74942413, in the 13-limit. | ||
=== Odd harmonics === | |||
===Odd harmonics=== | |||
{{Harmonics in equal|1553}} | {{Harmonics in equal|1553}} | ||
=== Subsets and supersets === | |||
1553edo is the 245th [[prime edo]]. 3106edo, which doubles it, provides a good correction to the harmonic 3. | |||
==Regular temperament properties== | ==Regular temperament properties== | ||