Superpyth: Difference between revisions
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<span style="display: block; text-align: right;">[[:de:Superpyth|Deutsch]]</span> | <span style="display: block; text-align: right;">[[:de:Superpyth|Deutsch]]</span> | ||
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If the 5th harmonic is used at all, it is mapped to -9 generators, so C-D# is 5/4. So superpyth is "the opposite of" septimal meantone in several different ways: meantone has 4/3 tempered wide so that intervals of 5 are simple and intervals of 7 are complex, while superpyth has 4/3 tempered narrow so that intervals of 7 are simple while intervals of 5 are complex. | If the 5th harmonic is used at all, it is mapped to -9 generators, so C-D# is 5/4. So superpyth is "the opposite of" septimal meantone in several different ways: meantone has 4/3 tempered wide so that intervals of 5 are simple and intervals of 7 are complex, while superpyth has 4/3 tempered narrow so that intervals of 7 are simple while intervals of 5 are complex. | ||
If intervals of 11 are desired the simplest reasonable way is to map 11/8 to 6 generators (so 11/8 is a "diminished fifth"), by tempering out 99/98. | If intervals of 11 are desired, the simplest reasonable way is to map 11/8 to 6 generators (so 11/8 is a "diminished fifth"), by tempering out 99/98. This temperament is called "'''supra'''", or "'''suprapyth'''". | ||
This temperament is called "'''supra'''", or "'''suprapyth'''" | |||
MOSes include 5, 7, 12, 17, and 22. | MOSes include 5, 7, 12, 17, and 22. | ||