Misty comma: Difference between revisions

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Mention the equivalence continuum
Fredg999 category edits (talk | contribs)
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[[Category:5-limit]]
[[Category:5-limit]]
[[Category:Small comma]]
[[Category:Small commas]]
[[Category:Misty]]
[[Category:Misty]]

Revision as of 21:59, 20 March 2022

The misty comma, 67108864/66430125 = [26 -12 -3, is an interval of 17.599 cents, that can be written as (81/80)/(32805/32768)2, (2048/2025)/(32805/32768), (128/125)/(531441/524288). 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. This temperament is notably in the schismic-Pythagorean equivalence continuum, with n = 3.