Sqrt(2/1): Difference between revisions
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{{Infobox interval|Name=semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth|Ratio=\sqrt{2}|Cents=600 | {{Infobox interval | ||
| Name = semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth | |||
| Ratio =\sqrt{2} | |||
''' | | Cents = 600 | ||
}} | |||
'''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 == | == In temperaments == | ||
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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]] | ||
Latest revision as of 09:39, 20 September 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.