99/80: Difference between revisions
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Tristanbay (talk | contribs) explained the aforementioned name Tags: Mobile edit Mobile web edit |
Tristanbay (talk | contribs) Added a missing period Tags: Mobile edit Mobile web edit |
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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]]. 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]]. | ||
Revision as of 02:33, 15 December 2024
| Interval information |
cake third
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 11/10s).
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.