1089/1088
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Ratio | 1089/1088 |
Factorization | 2^{-6} × 3^{2} × 11^{2} × 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 (log_{2} nd) | 20.1763 |
Weil height (log_{2} max(n, d)) | 20.1776 |
Wilson height (sopfr (nd)) | 57 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.40893 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.