Hemipyth: Difference between revisions

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Hemipyth refers to the √2.√3 subgroup i.e. intervals that can be constructed by multiplying fractional powers of 2 and 3 where the exponents have a denominator at most 2.
A '''hemipyth''' interval is an [[interval]] in the √2.√3 [[subgroup]] i.e. intervals that can be constructed by multiplying fractional powers of 2 and 3 where the exponents have a denominator at most 2.


Notable hemipyth intervals include the neutral third √(3/2) = √3/√2, semioctave √2 and the semifourth √(4/3) = (√2)²/√3.
Notable hemipyth intervals include the neutral third √(3/2) = √3/√2, semioctave √2 and the semifourth √(4/3) = (√2)²/√3.