Tuning map: Difference between revisions
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Cmloegcmluin (talk | contribs) "generator map" → "generator tuning map"; I think it's clearer, and there's only one page on the wiki at present that uses either term, and it uses the latter 4 times and the former only once |
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== Example == | == Example == | ||
Consider meantone temperament, with the mapping {{ket|{{map| 1 1 0 }} {{map| 0 1 4 }} }}. Temperaments, as represented by mappings, remain abstract; while this mapping does convey that the generators are ~2/1 and ~3/2, it does not specify exact tunings for those approximations. One example tuning would be quarter-comma meantone, where the octave is pure and the perfect fifth is 5<sup>1/4</sup>; this gives a generator map of {{map| 1200.000 696.578 }}. | Consider meantone temperament, with the mapping {{ket|{{map| 1 1 0 }} {{map| 0 1 4 }} }}. Temperaments, as represented by mappings, remain abstract; while this mapping does convey that the generators are ~2/1 and ~3/2, it does not specify exact tunings for those approximations. One example tuning would be quarter-comma meantone, where the octave is pure and the perfect fifth is 5<sup>1/4</sup>; this gives a generator tuning map of {{map| 1200.000 696.578 }}. | ||
To obtain the tuning map T from the generator map G and the temperament mapping V: | To obtain the tuning map T from the generator tuning map G and the temperament mapping V: | ||
<math> | <math> | ||