1089/1088
Jump to navigation
Jump to search
| 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{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.