22/21: Difference between revisions
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'''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 overtone. It is close in size to [[21/20]], a 7-limit [[superparticular]] interval, differing from it by [[441/440]], about 3.9¢. | '''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 overtone. 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|relative cents]]. | |||
== See also == | == See also == | ||
Revision as of 09:07, 21 April 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 overtone. 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.