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 (log_{2} nd) | 5.39232 |
Weil height (log_{2} 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 |
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