1089/1088
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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
Interval information |
Sulolo comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.