Frequency temperament: Difference between revisions
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'''Arithmetic temperaments''' are the arithmetic counterpart to [[regular temperament]]s. 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 n-th interval in an arithmetic temperament is given by ng mod 1 + 1, where g is the generator and p is the period. | '''Arithmetic temperaments''' are the arithmetic counterpart to [[regular temperament]]s. 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 n-th interval in an arithmetic temperament is given by ng mod (p - 1) + 1, where g is the generator and p is the period. | ||
== Example == | == Example == | ||
Revision as of 05:13, 2 March 2023
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 n-th interval in an arithmetic temperament is given by ng mod (p - 1) + 1, where g is the generator and p is the period.
Example
Cconsider an arithmetic temperament with a generator of 1.29 (440 cents) and period 2/1.