Misty comma: Difference between revisions

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67108864/66430125 = |26 -12 -3>, the misty comma of 17.599 cents, can be written as (81/80)/(32805/32768)^2, (2048/2025)/(32805/32768), (128/125)/(531441/524288) and 393216/390625 * 1600000/1594323. Since these are commas of [[12edo|12et]], so is the misty comma. However, [[Misty_family|misty temperament]], the 5-limit temperament tempering out the misty comma, is much more accurate than 12 equal can provide, and is also a comma of [[87edo|87edo]] and [[99edo|99edo]].
'''67108864/66430125''' = {{monzo|26 -12 -3}}, the '''misty comma''' of 17.599 cents, can be written as (81/80)/(32805/32768)<sup>2</sup>, (2048/2025)/(32805/32768), (128/125)/(531441/524288) and 393216/390625 * 1600000/1594323. Since these are commas of [[12edo|12et]], so is the misty comma. However, [[misty]] temperament, the 5-limit temperament tempering out the misty comma, is much more accurate than 12 equal can provide, and is also a comma of [[87edo]] and [[99edo]].
 
[[Category:5-limit]]
[[Category:Comma]]
[[Category:Misty]]

Revision as of 12:25, 9 September 2020

67108864/66430125 = [26 -12 -3, the misty comma of 17.599 cents, can be written as (81/80)/(32805/32768)2, (2048/2025)/(32805/32768), (128/125)/(531441/524288) and 393216/390625 * 1600000/1594323. Since these are commas of 12et, so is the misty comma. However, misty temperament, the 5-limit temperament tempering out the misty comma, is much more accurate than 12 equal can provide, and is also a comma of 87edo and 99edo.