99/80: Difference between revisions
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'''99/80''', the '''undecimal submajor third''', also known as the '''cake third''', is exactly [[8/7]] flat of the very accurate half-octave of [[99/70]], and so is accurately represented in any even edo with a good 7, of which the first truly good example is [[26edo]]. 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). | '''99/80''', the '''undecimal submajor third''', also known as the '''cake third''', is exactly [[8/7]] flat of the very accurate half-octave of [[99/70]], and so is accurately represented in any even edo with a good 7, of which the first truly good example is [[26edo]]. It is also [[100/99]] flat of [[5/4]]. 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 is the sum of a [[9/8]] whole tone and an [[11/10]] submajor second, and so is [[8019/8000]] sharp of [[100/81]]. | It is the sum of a [[9/8]] whole tone and an [[11/10]] submajor second, and so is [[8019/8000]] sharp of [[100/81]]. | ||