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 norm (log2 nd)	5.39232
Weil norm (log2 max(n, d))	5.61471
Wilson norm (sopfr(nd))	12
[sound info]
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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 .

Approximation

Edo approximations for 7/6 (266.87 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
9	2\9	266.67	-0.20	-0.15
18	4\18	266.67	-0.20	-0.31
27	6\27	266.67	-0.20	-0.46
36	8\36	266.67	-0.20	-0.61
45	10\45	266.67	-0.20	-0.77
54	12\54	266.67	-0.20	-0.92
63	14\63	266.67	-0.20	-1.07
67	15\67	268.66	+1.79	+9.97
72	16\72	266.67	-0.20	-1.23
76	17\76	268.42	+1.55	+9.82

See also

• 12/7 – its octave complement
• 9/7 – its fifth complement
• 8/7 – its fourth complement
• 7/3 – the interval plus one octave may sound even more consonant
• Gallery of just intervals