891/875
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Ratio
891/875
Factorization
34 × 5-3 × 7-1 × 11
Monzo
[0 4 -3 -1 1⟩
Size in cents
31.3709¢
Name(s)
missing ?
FJS name
[math]\text{d1}^{11}_{5,5,5,7}[/math]
Special properties
reduced
Tenney height (log2 nd)
19.5724
Weil height (log2 max(n, d))
19.5986
Wilson height (sopfr(nd))
45
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.47706 bits
Open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
891/875 is an 11-limit comma of about 31 cents. Tempering this comma in the full 11-limit provides the following rank-4 temperament:
According to x31eq, the mapping is:
[[1 0 0 0 0] [0 1 0 0 -4] [0 0 1 0 3] [0 0 0 1 1]].
The only comma tempered out is 891/875. The generators are: ~2=1200.000, ~3=1899.514, ~5=2790.987, ~7=3371.103.
User:MisterShafXen proposes the name pentacircle diesis for this comma, as the pentacircle comma is 896/891, and the interval size is about 31 cents.