117/88: Difference between revisions

Interval information
Ratio	117/88
Factorization	2-3 × 32 × 11-1 × 13
Monzo	[-3 2 0 0 -1 1⟩
Size in cents	493.1197¢
Name	minthmic fourth
Color name	3o1u4, tholu 4th
FJS name	[math]\displaystyle{ \text{P4}^{13}_{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	13.3298
Weil norm (log2 max(n, d))	13.7407
Wilson norm (sopfr(nd))	36
	https://en.xen.wiki/w/File:Ji-117-88-csound-foscil-220hz.mp3; [sound info]
	Open this interval in xen-calc

Revision as of 11:25, 25 October 2022

117/88 is the minthmic fourth, a 13-limit ratio with a value of 493 cents. It is 352/351 against the just perfect fourth of 4/3. It arises in 13-limit just intonation by stacking 13/11 and 9/8, or by lowering 13/8 by 11/9.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 117/88
-| Monzo = -3 2 0 0 -1 1
-| Cents = 493.11972
 | Name = minthmic fourth
 | Color name = 3o1u4, tholu 4th
-| FJS name = P4<sup>13</sup><sub>11</sub>
 | Sound = Ji-117-88-csound-foscil-220hz.mp3
 }}
@@ Line 16: / Line 12: @@
 * [[Gallery of just intervals]]
-[[Category:13-limit]]
 [[Category:Fourth]]
 [[Category:Minthmic]]
 {{todo|expand}}