Misty comma

Interval information

Ratio	67108864/66430125
Factorization	226 × 3-12 × 5-3
Monzo	[26 -12 -3⟩
Size in cents	17.59885¢
Name	misty comma
Color name	ssg33, sasatrigu 3rd, Sasatrigu comma
FJS name	[math]\displaystyle{ \text{ddd3}_{5,5,5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	51.9853
Weil norm (log2 max(n, d))	52
Wilson norm (sopfr(nd))	103
Comma size	small
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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. It factors into simpler commas as (393216/390625)(1600000/1594323). However, the 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.