40/21: Difference between revisions
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| Monzo = 3 -1 1 -1 | | Monzo = 3 -1 1 -1 | ||
| Cents = 1115.53281 | | Cents = 1115.53281 | ||
| Name = acute major seventh, <br>small septimal diminished octave | | Name = septimal acute major seventh, <br>small septimal diminished octave | ||
| Color name = | | Color name = | ||
| FJS name = M7<sup>5</sup><sub>7</sub> | | FJS name = M7<sup>5</sup><sub>7</sub> | ||
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}} | }} | ||
'''40/21''', the '''acute major seventh''', is a [[7-limit]] interval measuring about 1115.5 cents. Despite being approximated by the diminished octave in systems like [[septimal meantone]], and even being called the | '''40/21''', the '''septimal acute major seventh''', is a [[7-limit]] interval measuring about 1115.5 cents. | ||
== Terminology == | |||
Despite being approximated by the diminished octave in systems like [[septimal meantone]], and even being called the '''small septimal diminished octave''' by some musicians due to analogy with [[21/20]] being called the "large septimal chroma", 40/21 is a major seventh in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and [[Functional Just System]], viewed as the [[243/128|Pythagorean major seventh (243/128)]] altered by [[5120/5103]]. | |||
== See also == | == See also == | ||
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[[Category:Seventh]] | [[Category:Seventh]] | ||
[[Category:Major seventh]] | [[Category:Major seventh]] | ||
[[Category:Pages with internal sound examples]] | |||
Revision as of 16:13, 10 April 2021
| Interval information |
small septimal diminished octave
[sound info]
40/21, the septimal acute major seventh, is a 7-limit interval measuring about 1115.5 cents.
Terminology
Despite being approximated by the diminished octave in systems like septimal meantone, and even being called the small septimal diminished octave by some musicians due to analogy with 21/20 being called the "large septimal chroma", 40/21 is a major seventh in just intonation notation systems such as Sagittal notation, Helmholtz-Ellis notation and Functional Just System, viewed as the Pythagorean major seventh (243/128) altered by 5120/5103.