Bird's eye view of temperaments by accuracy: Difference between revisions
m explain generator tunings list meaning and add generator tunings for cata |
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* 10 for {3, 5, 31} ([[8L 3s]]) | * 10 for {3, 5, 31} ([[8L 3s]]) | ||
* 19 for adding {9, 15, 25} ([[8L 11s]]) | * 19 for adding {9, 15, 25} ([[8L 11s]]) | ||
[[#Generator tunings|Generator tunings]]: 17\46, 24\65, 199\539 | |||
Sensipent is an accurate 2.3.5.31 temperament with a generator of [[~]][[31/24]][[~]][[40/31]], where the two interpretations of the generator differ by [[961/960|S31 = (31/30)/(32/31)]], which is the best extension of 5-limit sensipent as its generator serves as half of 40/24 = [[5/3]], so that the generator is the midpoint of [[4/3]] and [[5/4]], whose difference is [[16/15]], hence the relevance of making [[~]][[32/31]][[~]][[31/30]]. | Sensipent is an accurate 2.3.5.31 temperament with a generator of [[~]][[31/24]][[~]][[40/31]], where the two interpretations of the generator differ by [[961/960|S31 = (31/30)/(32/31)]], which is the best extension of 5-limit sensipent as its generator serves as half of 40/24 = [[5/3]], so that the generator is the midpoint of [[4/3]] and [[5/4]], whose difference is [[16/15]], hence the relevance of making [[~]][[32/31]][[~]][[31/30]]. | ||