12/7
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| Ratio | 12/7 |
| Factorization | 22 × 3 × 7-1 |
| Monzo | [2 1 0 -1⟩ |
| Size in cents | 933.12909¢ |
| Names | supermajor sixth, septimal major sixth |
| Color name | r6, ru 6th |
| FJS name | [math]\text{M6}_{7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 6.39232 |
| Weil height (log2 max(n, d)) | 7.16993 |
| Wilson height (sopfr(nd)) | 14 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.23275 bits |
[sound info] | |
| open this interval in xen-calc | |
English Wikipedia has an article on:
In 7-limit just intonation, 12/7 is the supermajor sixth or septimal major sixth of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of 5/3 by 36/35 – the septimal quartertone – a superparticular interval of about 48.8¢. It differs from the Pythagorean major sixth of 27/16 by 64/63 – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of 7/4 by 49/48 – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of 7/6.
See also
- 7/6 – its octave complement
- 7/4 – its twelfth complement
- Gallery of just intervals
- File:Ji-12-7-csound-foscil-220hz.mp3 – an alternative sound sample