Skwares comma
(Redirected from 19683/19208)
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Ratio | 19683/19208 |
Factorization | 2^{-3} × 3^{9} × 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 (log_{2} nd) | 28.4941 |
Weil height (log_{2} 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.