12/7: Difference between revisions
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| Name = septimal supermajor sixth | | Name = septimal supermajor sixth | ||
| Color name = r6, ru 6th | | Color name = r6, ru 6th | ||
| Sound = | | Sound = Ji-12-7-csound-foscil-220hz.mp3 | ||
}} | }} | ||
In [[7-limit]] [[Just Intonation]], '''12/7''' is the '''septimal supermajor 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 [[36/25]] -- 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 -- [[7/4]], about 968.8¢ -- 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]]. | In [[7-limit]] [[Just Intonation]], '''12/7''' is the '''septimal supermajor 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 [[36/25]] -- 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 -- [[7/4]], about 968.8¢ -- 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]]. | ||
: | [[File:jid_12_7_pluck_adu_dr220.mp3]] | ||
== See also == | |||
* [[7/6]] -- its [[octave complement]] | |||
* [[42/25]] -- a lower septimal major sixth | |||
* [[Gallery of Just Intervals]] | |||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Sixth]] | |||
[[Category:Major sixth]] | |||
[[Category:Just interval]] | [[Category:Just interval]] | ||
Revision as of 06:47, 18 June 2020
| Interval information |
[sound info]
In 7-limit Just Intonation, 12/7 is the septimal supermajor 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 36/25 -- 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 -- 7/4, about 968.8¢ -- 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
- 42/25 -- a lower septimal major sixth
- Gallery of Just Intervals