22/21: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 22/21 | | Ratio = 22/21 | ||
| Monzo = 1 -1 0 -1 1 | | Monzo = 1 -1 0 -1 1 | ||
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}} | }} | ||
'''22/21''' is a small [[superparticular]] '''semitone''' of about 80.5¢ that appears in [[11-limit]] [[ | '''22/21''' is a small [[superparticular]] '''semitone''' of about 80.5¢ that appears in [[11-limit]] [[just intonation]]. It makes the difference between the 21st and 22nd [[harmonic]]s. It is close in size to [[21/20]], a 7-limit superparticular interval, differing from it by [[441/440]], about 3.9¢. | ||
The single degree of [[88cET]] can function as both 21/20 and 22/21, thus tempering out 441/440. | The single degree of [[88cET]] can function as both 21/20 and 22/21, thus tempering out 441/440. | ||
10 steps of [[149edo]] appoximate 22/21 with a precision of about 1 part in 15 million, or 1 part in 100000 when measured using [[relative cent | 10 steps of [[149edo]] appoximate 22/21 with a precision of about 1 part in 15 million, or 1 part in 100000 when measured using [[relative cent]]s. | ||
== See also == | == See also == | ||
* [[21/11]] – its [[octave complement]] | * [[21/11]] – its [[octave complement]] | ||
* [[Gallery of | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
Revision as of 18:29, 15 December 2021
| Interval information |
reduced
[sound info]
22/21 is a small superparticular semitone of about 80.5¢ that appears in 11-limit just intonation. It makes the difference between the 21st and 22nd harmonics. It is close in size to 21/20, a 7-limit superparticular interval, differing from it by 441/440, about 3.9¢.
The single degree of 88cET can function as both 21/20 and 22/21, thus tempering out 441/440.
10 steps of 149edo appoximate 22/21 with a precision of about 1 part in 15 million, or 1 part in 100000 when measured using relative cents.