1089/1088

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Interval information
Ratio 1089/1088
Factorization 2-6 × 32 × 112 × 17-1
Monzo [-6 2 0 0 2 0 -1
Size in cents 1.590477¢
Name twosquare comma
Color name 17u1oo-2, sulolo negative 2nd,
Sulolo comma
FJS name [math]\text{m}{-2}^{11,11}_{17}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 20.1763
Weil height (log2 max(n, d)) 20.1776
Wilson height (sopfr(nd)) 57
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.22187 bits
Comma size unnoticeable
S-expression S33
open this interval in xen-calc

1089/1088, otherwise known as the twosquare comma, is an unnoticeable comma of the 17-limit with a monzo of [-6 2 0 0 2 0 -1, and a value of roughly 1.59048 cents. It is significant as the difference between a stack of two 33/32 quartertones and one 17/16 semitone. Tempering it out leads to a form of twosquare temperament, and enables twosquare chords.

See also