Misty comma: Difference between revisions
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'''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 | '''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]], 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:5-limit]] | ||
[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Misty]] | [[Category:Misty]] | ||
Revision as of 19:57, 19 April 2021
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, 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.