7/6

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 height (log₂ nd)

5.39232

Weil height (log₂ max(n, d))

5.61471

Wilson height (sopfr(nd))

12

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~4.14617 bits

[sound info]

Open this interval in xen-calc

English Wikipedia has an article on:

Septimal minor third

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 .

References

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

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

[1]

7/6

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