12/7: Difference between revisions
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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]] | 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 == | == See also == | ||
* [[7/6]] | * [[7/6]] – its [[octave complement]] | ||
* [[Gallery of Just Intervals]] | * [[Gallery of Just Intervals]] | ||
* [[Wikipedia:Septimal major sixth|Septimal major sixth - Wikipedia]] | * [[Wikipedia:Septimal major sixth|Septimal major sixth - Wikipedia]] | ||
* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] an alternative sound sample | * [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
Revision as of 14:13, 19 September 2020
| Interval information |
septimal major sixth
[sound info]
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
- Gallery of Just Intervals
- Septimal major sixth - Wikipedia
- File:Ji-12-7-csound-foscil-220hz.mp3 – an alternative sound sample