891/875

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.47706 bits
Open this interval in xen-calc

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.

Mister Shaf proposes the name pentacircle diesis for this comma, as the pentacircle comma is 896/891, and the interval size is about 31 cents.