182/121: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Address a name change and +necessary terminology
- explanation on the name (the hyphenation should make it clear enough)
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = minor minthmic fifth
| Name = minor-minthmic fifth
| Color name = 3o1uuz6, tholuluzo 6th
| Color name = 3o1uuz6, tholuluzo 6th
| Sound = Ji-182-121-csound-foscil-220hz.mp3
| Sound = Ji-182-121-csound-foscil-220hz.mp3
}}
}}
'''182/121''', the '''minor minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363|minor minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)(14/11) = 182/121).
'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363|minor-minthma (364/363)]] sharp of the perfect fifth ([[3/2]]). It is the stack of [[14/11]] and [[13/11]] ((13/11)(14/11) = 182/121).
 
Note that ''minor minthmic'' modifies ''fifth'' and that ''minor minthmic'' is the name of the temperament that tempers out 364/363. ''Minor'' does not specify the size of the interval here.  


== Approximation ==
== Approximation ==
This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.
This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.


It is also incredibly close to the major minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)(16/13) = 176/117).
It is also incredibly close to the major-minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)(16/13) = 176/117).


== See also ==
== See also ==

Latest revision as of 14:36, 22 July 2026

Interval information
Ratio 182/121
Factorization 2 × 7 × 11-2 × 13
Monzo [1 0 0 1 -2 1
Size in cents 706.7177¢
Name minor-minthmic fifth
Color name 3o1uuz6, tholuluzo 6th
FJS name [math]\displaystyle{ \text{m6}^{7,13}_{11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 14.4267
Weil norm (log2 max(n, d)) 15.0156
Wilson norm (sopfr(nd)) 44

[sound info]
Open this interval in xen-calc

182/121, the minor-minthmic fifth, is a 13-limit interval measuring about 706.7 ¢. It is a minor-minthma (364/363) sharp of the perfect fifth (3/2). It is the stack of 14/11 and 13/11 ((13/11)⋅(14/11) = 182/121).

Approximation

This interval is rather well approximated by the regular fifths in 17edo: 10\17 is 0.8 ¢ flat of 182/121.

It is also incredibly close to the major-minthmic fifth (176/117, 706.8803 ¢), found as a stack of 16/13 and 11/9 ((11/9)⋅(16/13) = 176/117).

See also