Skwares comma
(Redirected from 19683/19208)
Jump to navigation
Jump to search
| Ratio | 19683/19208 |
| Factorization | 2-3 × 39 × 7-4 |
| Monzo | [-3 9 0 -4⟩ |
| Size in cents | 42.291382¢ |
| Name | skwares comma |
| Color name | Laquadru comma |
| FJS name | [math]\text{dd}{-3}_{7,7,7,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 28.4941 |
| Weil height (log2 max(n, d)) | 28.5293 |
| Wilson height (sopfr(nd)) | 61 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.51414 bits |
| Comma size | medium |
| open this interval in xen-calc | |
19683/19208, the skwares comma, is a 7-limit and 2.3.7 subgroup comma of about 42 cents. It can be defined as the difference between a perfect eleventh (8/3) and a stack of four 9/7 supermajor thirds. In the 2.3.7.11 subgroup, it decomposes into (99/98)2 × 243/242, and in the full 7-limit, it decomposes as (81/80)2/(2401/2400).
In the 2.3.7 subgroup, this comma defines skwares temperament, whose obvious extensions to primes 5 (squares) and 11 are dictated by the above decompositions.