Sqrt(2/1): Difference between revisions

Created page with "{{Infobox interval|Name=semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth|Ratio=\sqrt{2}|Cents=600}} '''√2/1''', the '''semioctave''', is an important radi..."
 
No edit summary
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}}


'''√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)]].'''


== In temperaments ==
== In temperaments ==
Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave. The semioctave appears in every even equal temperament.
Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave. The semioctave appears in every even equal temperament.