Tempered monzos and vals: Difference between revisions
No edit summary |
-legacy |
||
| Line 1: | Line 1: | ||
A regular temperament is a homomorphism (a kind of function) from the space of just intervals, J, to the space of tempered intervals generated by that temperament, which can be called K, where both J and K are abelian groups. Technically, a regular temperament refers to an equivalence class of functions separated by unimodular transformations. An element of K is called a '''tempered monzo''', or for short "tmonzo", and represents the number of steps of each generator required to reach a tempered interval, and an element of the dual module K* is called a '''tval'''. | A regular temperament is a homomorphism (a kind of function) from the space of just intervals, J, to the space of tempered intervals generated by that temperament, which can be called K, where both J and K are abelian groups. Technically, a regular temperament refers to an equivalence class of functions separated by unimodular transformations. An element of K is called a '''tempered monzo''', or for short "tmonzo", and represents the number of steps of each generator required to reach a tempered interval, and an element of the dual module K* is called a '''tval'''. | ||