Frequency temperament
Arithmetic temperaments are the arithmetic counterpart to regular temperaments. Whereas regular temperaments are created by reducing integer powers of a generator, an arithmetic temperament is created by reducing integer multiples of a generator. The nth step of an arithmetic temperament is given by xn = ng mod 1 + 1, where g is the generator andpn is the period.
Example
Cconsider an arithmetic temperament with a generator of 1.29 (440 cents) and period 2/1.