7/6
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Ratio
7/6
Factorization
2-1 × 3-1 × 7
Monzo
[-1 -1 0 1⟩
Size in cents
266.87091¢
Names
subminor third,
septimal minor third
Color name
z3, zo 3rd
FJS name
[math]\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]\sqrt{nd}[/math])
~4.14617 bits
[sound info]
open this interval in xen-calc
| Interval information |
septimal minor third
reduced
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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 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
- 12/7 – its octave complement
- 9/7 – its fifth complement
- 8/7 – its fourth complement
- 7/3 – the interval plus one octave sounds even more consonant
- Gallery of just intervals