56/55: Difference between revisions

Interval information
Ratio	56/55
Factorization	23 × 5-1 × 7 × 11-1
Monzo	[3 0 -1 1 -1⟩
Size in cents	31.19425¢
Names	undecimal tritonic comma,; konbini comma
FJS name	[math]\displaystyle{ \text{m2}^{7}_{55} }[/math]
Special properties	superparticular,; reduced
Tenney norm (log2 nd)	11.5887
Weil norm (log2 max(n, d))	11.6147
Wilson norm (sopfr(nd))	29
	Open this interval in xen-calc

Revision as of 11:37, 15 October 2020

56/55 = [3 0 -1 1 -1⟩ is an 11-limit no-threes comma of about 31.2 ¢, and is the difference between 7/5 and 11/8.

@@ Line 4: / Line 4: @@
 | Monzo = 3 0 -1 1 -1
 | Cents = 31.19425
-| Name = meantone diesis, <br> meantone kleisma
+| Name = undecimal tritonic comma, <br> konbini comma
 | Color name =
 | FJS name = m2<sup>7</sup><sub>55</sub>
@@ Line 10: / Line 10: @@
 }}
 '''56/55''' = {{Monzo| 3 0 -1 1 -1 }} is an [[11-limit]] no-threes comma of about 31.2 [[cent|&cent;]], and is the difference between [[7/5]] and [[11/8]].
-In [[Meantone family#Unidecimal meantone aka Huygens|unidecimal meantone]], it's a [[meantone diesis]]. In [[meanpop]], it's a [[meantone kleisma]].
 == See also ==
 * [[Medium comma]]
+* [[List of superparticular intervals]]
 [[Category:11-limit]]