117/88: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Fredg999 category edits (talk | contribs)
autopatrolled, Bots, emailconfirmed
4,330 edits
m Removing from Category:Listen using Cat-a-lot
Fredg999 (talk | contribs)
autopatrolled, Interface administrators, Sysops
6,129 edits
m Misc. edits, categories
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 117/88
| Ratio = 117/88
| Monzo = -3 2 0 0 -1 1
| Monzo = -3 2 0 0 -1 1
Line 18: Line 17:


[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Interval ratio]]
[[Category:Fourth]]
[[Category:Minthmic]]
[[Category:Minthmic]]
[[Category:Fourth]]
 
[[Category:Todo:expand]]
{{todo|expand}}

Revision as of 17:04, 11 March 2022

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 height (log2 nd) 13.3298
Weil height (log2 max(n, d)) 13.7407
Wilson height (sopfr(nd)) 36

[sound info]
Open this interval in xen-calc

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.

See also

Retrieved from "https://en.xen.wiki/index.php?title=117/88&oldid=89345"