Skwares comma
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Ratio
19683/19208
Factorization
2-3 × 39 × 7-4
Monzo
[-3 9 0 -4⟩
Size in cents
42.29138¢
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
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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.