21/20: Difference between revisions
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Cmloegcmluin (talk | contribs) add another equated interval pair |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 21/20 | | Ratio = 21/20 | ||
| Monzo = -2 1 -1 1 | | Monzo = -2 1 -1 1 | ||
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| Sound = jid_21_20_pluck_adu_dr220.mp3 | | Sound = jid_21_20_pluck_adu_dr220.mp3 | ||
}} | }} | ||
{{Wikipedia|Septimal chromatic semitone}} | |||
'''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 [[4/3]] and [[7/5]], [[8/7]] and [[6/5]], or [[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 [[4/3]] and [[7/5]], [[8/7]] and [[6/5]], or [[5/3]] and [[7/4]]. | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Septisemi temperaments]], where it is tempered out | * [[Septisemi temperaments]], where it is tempered out | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Chroma]] | [[Category:Chroma]] | ||
[[Category:Superparticular]] | |||
[[Category:Septisemi]] | [[Category:Septisemi]] | ||
{{todo|improve synopsis}} | {{todo|improve synopsis}} | ||
Revision as of 18:05, 15 December 2021
| 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 4/3 and 7/5, 8/7 and 6/5, or 5/3 and 7/4.
Terminology
21/20 is traditionally called a chroma, perhaps for its proximity (and conflation in systems like septimal meantone) with the major chroma 135/128. However, it is a diatonic semitone in both Helmholtz-Ellis notation and Functional Just System, viewed as the Pythagorean minor second 256/243 altered by 5120/5103. Marc Sabat has taken to call it the minor diatonic semitone in the same material where 15/14 is also named as the major chromatic semitone[1].
See also
- 40/21 – its octave complement
- 10/7 – its fifth complement
- List of superparticular intervals
- Gallery of just intervals
- Septisemi temperaments, where it is tempered out