196edo: Difference between revisions
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Added link to “peppermint”, added harmonics table, added interval table |
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196edo can also treated as a 2.5.7.9.11.13.17 subgroup temperament (with the patent 9), providing a distinct flat tendency for harmonics 5, 7, 9, 11, 13, and 17. With the patent 9, it tempers out 321489/320000, 420175/419904, and 703125/702464 in the 2.5.7.9 subgroup; 441/440, 8019/8000, 41503/41472, and 9453125/9437184 in the 2.5.7.9.11 subgroup; 729/728, 1001/1000, 1575/1573, 6656/6655, and 10985/10976 in the 2.5.7.9.11.13 subgroup; 833/832, 936/935, 1089/1088, 1225/1224, 2025/2023, and 14365/14336 in the 2.5.7.9.11.13.17 subgroup. | 196edo can also treated as a 2.5.7.9.11.13.17 subgroup temperament (with the patent 9), providing a distinct flat tendency for harmonics 5, 7, 9, 11, 13, and 17. With the patent 9, it tempers out 321489/320000, 420175/419904, and 703125/702464 in the 2.5.7.9 subgroup; 441/440, 8019/8000, 41503/41472, and 9453125/9437184 in the 2.5.7.9.11 subgroup; 729/728, 1001/1000, 1575/1573, 6656/6655, and 10985/10976 in the 2.5.7.9.11.13 subgroup; 833/832, 936/935, 1089/1088, 1225/1224, 2025/2023, and 14365/14336 in the 2.5.7.9.11.13.17 subgroup. | ||
Since it's part of the Fibonacci sequence beginning with 5 and 12, it closely approximates peppermint temperament. | Since it's part of the Fibonacci sequence beginning with 5 and 12, it closely approximates [[peppermint]] temperament. | ||
== Harmonics == | |||
{{Harmonics in equal|196}} | |||
== Intervals == | |||
{{Interval table}} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||