Misty comma

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Interval information
Ratio 67108864/66430125
Factorization 226 × 3-12 × 5-3
Monzo [26 -12 -3
Size in cents 17.598848¢
Name misty comma
FJS name [math]\text{ddd3}_{5,5,5}[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 n⋅d) 51.9853
Weil height (max(n, d)) 67108864
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~3.4663 bits
Comma size small
open this interval in xen-calc

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.