Bird's eye view of temperaments by accuracy: Difference between revisions
m add generator tunings for didacus and mediantone |
m add generator tunings for 2.3.7 buzzard |
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* 8 for {3, 7, 21} ([[5L 3s]]) | * 8 for {3, 7, 21} ([[5L 3s]]) | ||
* 12 for {3, 7, 9, 21} ([[5L 8s]]) | * 12 for {3, 7, 9, 21} ([[5L 8s]]) | ||
[[#Generator tunings|Generator tunings]]: 19\48, 21\53, 23\58, 44\111 | |||
The 2.3.7 part of [[#Buzzard]] is not as accurate as everything else in the 13-limit; specifically, its interval of 7 barely violates the 4{{cent}} bound, however it makes up for it by being much simpler (mapping-wise) so that it is interesting as a 2.3.7-subgroup temperament that splits [[3/1]] into four equal parts, each representing a sharp [[~]][[21/16]], which defines it in the 2.3.7 subgroup. [[53edo]], [[58edo]] and [[111edo]] are good tunings. | The 2.3.7 part of [[#Buzzard]] is not as accurate as everything else in the 13-limit; specifically, its interval of 7 barely violates the 4{{cent}} bound, however it makes up for it by being much simpler (mapping-wise) so that it is interesting as a 2.3.7-subgroup temperament that splits [[3/1]] into four equal parts, each representing a sharp [[~]][[21/16]], which defines it in the 2.3.7 subgroup. [[53edo]], [[58edo]] and [[111edo]] are good tunings. | ||
= '''Low accuracy (<12c)''' = | = '''Low accuracy (<12c)''' = | ||