Sqrt(2/1): Difference between revisions
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Cleanup. -Wikipedia box (This article isn't about the number) |
→See also: Add ritone#Tritones_as_approximations_of_the_semioctav |
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== See also == | == See also == | ||
* [[2edo]] | * [[2edo]] | ||
* [[Tritone#Tritones_as_approximations_of_the_semioctave|Tritones as approximations of the semioctave]] | |||
[[Category:2edo]] | [[Category:2edo]] | ||
Revision as of 08:49, 18 July 2025
| Interval information |
(hemipythagorean) tritone,
perfect four-and-a-halfth
sqrt(2/1), the semioctave, is an important radical interval of exactly 600 cents. It appears in hemipyth as one of the generators, alongside sqrt(3/2).
In temperaments
Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave; among the most common to be merged this way are 7/5 and 10/7 (which differ by 50/49), 17/12 and 24/17 (which differ by 289/288), and 99/70 and 140/99 (which differ by 9801/9800). The semioctave appears in every even equal temperament.