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{{Wikipedia|Septimal minor third}}
{{Wikipedia|Septimal minor third}}


In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents).
In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 i more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable.


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

Revision as of 02:30, 11 October 2023

Interval information
Ratio 7/6
Factorization 2-1 × 3-1 × 7
Monzo [-1 -1 0 1
Size in cents 266.8709¢
Names subminor third,
septimal minor third
Color name z3, zo 3rd
FJS name [math]\displaystyle{ \text{m3}^{7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 5.39232
Weil norm (log2 max(n, d)) 5.61471
Wilson norm (sopfr(nd)) 12

[sound info]
Open this interval in xen-calc
English Wikipedia has an article on:

In 7-limit just intonation, 7/6 is the subminor third or septimal minor third. At about 267 cents, it is smaller than both the 5-limit minor third (6/5, ~316 cents) and the familiar 12edo minor third (300 cents). In contrast to 5/4 and 6/5, 7/6 i more consonant than it's counterpart 9/7, and a 6:7:9 minor triad can sound very stable.

See also