7/6: Difference between revisions

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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 contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .
In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>Hermann L. F. von Helmholtz (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> 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 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .


== See also ==
== See also ==
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* [[7/3]] – the interval plus one [[octave]] may sound even more [[consonant]]
* [[7/3]] – the interval plus one [[octave]] may sound even more [[consonant]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
== References ==
<references />


[[Category:Third]]
[[Category:Third]]

Revision as of 14:44, 16 April 2025

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 [1] 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 is noticeably more consonant than it's counterpart 9/7, and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .

See also

References

  1. Hermann L. F. von Helmholtz (1875). On the sensations of tone as a physiological basis for the theory of music, p. 284.