99/80: Difference between revisions

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 | Color name = logu 3rd, 1og3
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+'''99/80''', the '''undecimal submajor third''', also known as the '''cake third''', is [[45/44]] flat of the [[81/64|Pythagorean major third (81/64)]], and also [[100/99]] flat of the [[5/4|classical major third (5/4)]], while being [[8019/8000]] sharp of the [[100/81|grave major third (100/81)]]. The alternate name, ''cake third'', refers to the fact that tempering out 45/44, the cake comma, leads to a temperament that slices 99/80 exactly in half (into two [[11/10]]'s). It arises in [[just intonation]] as the sum of a [[9/8]] whole tone and an [[11/10]] submajor second.
-'''99/80''', the '''undecimal submajor third''', also known as the '''cake third''' is [[45/44]] flat of the [[81/64|Pythagorean major third (81/64)]], and also [[100/99]] flat of the [[5/4|classical major third (5/4)]], while being [[8019/8000]] sharp of the [[100/81|grave major third (100/81)]]. The alternate name, ''cake third'', refers to the fact that tempering out 45/44, the cake comma, leads to a temperament that slices 99/80 exactly in half (into two [[11/10]]s).
-It arises in [[just intonation]] as the sum of a [[9/8]] whole tone and an [[11/10]] submajor second.
 == Approximation ==