Monzo: Difference between revisions
Mousemambo (talk | contribs) m →See also: +Extended bra-ket notation |
ArrowHead294 (talk | contribs) |
||
| Line 66: | Line 66: | ||
</math> | </math> | ||
In this case, the val {{val| 12 19 28 }} is the [[patent val]] for 12-equal, and {{monzo| -4 4 -1 }} is 81/80, or the syntonic comma. The fact that ⟨ 12 19 28 | -4 4 -1 ⟩ tells us that 81/80 is mapped to 0 steps in 12-equal – aka it is tempered out – which tells us that 12-equal is a meantone temperament. It is noteworthy that almost the entirety of western music, particularly western music composed for 12-equal or 12-tone well temperaments, is made possible by the above equation. | In this case, the val {{val| 12 19 28 }} is the [[patent val]] for 12-equal, and {{monzo| -4 4 -1 }} is 81/80, or the syntonic comma. The fact that ⟨ 12 19 28 | -4 4 -1 ⟩ tells us that 81/80 is mapped to 0 steps in 12-equal – aka it is tempered out – which tells us that 12-equal is a meantone temperament. It is noteworthy that almost the entirety of post-Mediæval western music, particularly western music composed for 12-equal or 12-tone well temperaments, is made possible by tempering out of 81/80, as illustrated by the above equation. | ||
In general: | In general: | ||