Frequency temperament: Difference between revisions
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A '''arithmetic temperament''' is a type of [[temperament]] which generates a, when period-reduced, arithmetic progression of frequency. This is in contrast to [[regular temperaments]] which generate a geometric progression instead. Arithmetic temperaments are to [[AFS]]s as regular temperaments are to [[ET]]s. Arithmetic temperaments can "[[temper out]]" commas in a similar way to regular temperaments, but because period reduction is now performed through addition/subtraction rather than multiplication/di vision, tempering out a comma means to equate it to 0 (the additve identity) instead of 1 (the multiplicative identity). | |||
Revision as of 07:40, 19 May 2023
A arithmetic temperament is a type of temperament which generates a, when period-reduced, arithmetic progression of frequency. This is in contrast to regular temperaments which generate a geometric progression instead. Arithmetic temperaments are to AFSs as regular temperaments are to ETs. Arithmetic temperaments can "temper out" commas in a similar way to regular temperaments, but because period reduction is now performed through addition/subtraction rather than multiplication/di vision, tempering out a comma means to equate it to 0 (the additve identity) instead of 1 (the multiplicative identity).