Monzo: Difference between revisions
m There was a math mistake |
|||
| Line 66: | Line 66: | ||
< 12 19 28 | -4 4 -1 > | < 12 19 28 | -4 4 -1 > | ||
<math>(12⋅-4) + (19⋅4) + ( | <math>(12⋅-4) + (19⋅4) + (28⋅-1) = 0</math> | ||
In this case, the val < 12 19 28 | is the [[Patent_val|patent val]] for 12-equal, and | -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's 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 < 12 19 28 | is the [[Patent_val|patent val]] for 12-equal, and | -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's 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. | ||