2100edo: Difference between revisions
+prime error table; +subsets and supersets |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
The [[patent val]] [[Tempering out|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit [[schismatic|schismatic aka helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but | The [[patent val]] [[Tempering out|tempers out]] [[32805/32768]] in the 5-limit and [[2401/2400]] in the 7-limit, and thereby provides an excellent tuning for 5-limit [[schismatic|schismatic aka helmholtz]] temperament, and the 7-limit [[sesquiquartififths]] temperament. As with any equal division of this size, it [[support]]s a number of possible meantone tunings, but the 1219\2100 fifth is notable for being an extremely close approximation to [[quarter-comma meantone]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 2100 factors into {{factorization|2100}}, 2100edo has subset edos {{EDOs| 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, and 1050 }}. | Since 2100 factors into {{factorization|2100}}, 2100edo has subset edos {{EDOs| 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, and 1050 }}. | ||
[[Category:Meantone]] | |||