Sqrt(2/1): Difference between revisions
Jump to navigation
Jump to search
added intervals |
supplement Tags: Mobile edit Mobile web edit |
||
| Line 1: | Line 1: | ||
{{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}} | ||
{{Wikipedia|Square root of 2}} | |||
'''√2/1''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside '''[[√(3/2)]].''' | '''√2/1''', the '''semioctave''', is an important [[radical interval]] of exactly 600 cents. It appears in [[hemipyth]] as one of the generators, alongside '''[[√(3/2)]].''' | ||
Revision as of 09:49, 27 March 2025
| Interval information |
(hemipythagorean) tritone,
perfect four-and-a-halfth
√2/1, the semioctave, is an important radical interval of exactly 600 cents. It appears in hemipyth as one of the generators, alongside √(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.