891/875: Difference between revisions

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 norm (log2 nd)	19.5724
Weil norm (log2 max(n, d))	19.5986
Wilson norm (sopfr(nd))	45
	Open this interval in xen-calc

Latest revision as of 23:40, 1 May 2025

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.

@@ Line 1: / Line 1: @@
-{{Infobox Interval}}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:
+{{Infobox Interval}}'''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:
+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.
+The only comma [[tempered out]] is 891/875. The [[generator]]s 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.
+[[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.