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{n\cdot d}[/math]) |
~4.53324 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