21/20: Difference between revisions
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m +FJS name; +links |
Clarification and maybe we avoid the term "chromatic semitone" here, just chroma |
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| Monzo = -2 1 -1 1 | | Monzo = -2 1 -1 1 | ||
| Cents = 84.4672 | | Cents = 84.4672 | ||
| Name = minor | | Name = minor semitone, <br>large septimal chroma | ||
| Color name = zg2, zogu 2nd | | Color name = zg2, zogu 2nd | ||
| FJS name = m2<sup>7</sup><sub>5</sub> | | FJS name = m2<sup>7</sup><sub>5</sub> | ||
| Line 11: | Line 11: | ||
'''21/20''' is a small semitone of about 85 cents. It may be found in [[7-limit]] [[just intonation]] as, for example, the difference between [[8/7]] and [[6/5]], or between [[5/3]] and [[7/4]]. | '''21/20''' is a small semitone of about 85 cents. It may be found in [[7-limit]] [[just intonation]] as, for example, the difference between [[8/7]] and [[6/5]], or between [[5/3]] and [[7/4]]. | ||
Although called a ''chroma'' for its proximity (and conflation in systems like septimal [[meantone]]) with the major chroma [[135/128]], 21/20 is a ''diatonic semitone'' in both [[Helmholtz-Ellis notation]] and [[Functional Just System]] because it is [[5120/5103]] smaller than the Pythagorean minor second [[256/243]]. | |||
== See also == | == See also == | ||
* [[40/21]] – its [[octave complement]] | * [[40/21]] – its [[octave complement]] | ||
* [[10/7]] – its [[fifth complement]] | * [[10/7]] – its [[fifth complement]] | ||
* [[Septisemi temperaments]] | |||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
Revision as of 09:34, 15 October 2020
| Interval information |
large septimal chroma
reduced
[sound info]
21/20 is a small semitone of about 85 cents. It may be found in 7-limit just intonation as, for example, the difference between 8/7 and 6/5, or between 5/3 and 7/4.
Although called a chroma for its proximity (and conflation in systems like septimal meantone) with the major chroma 135/128, 21/20 is a diatonic semitone in both Helmholtz-Ellis notation and Functional Just System because it is 5120/5103 smaller than the Pythagorean minor second 256/243.