Frequency temperament

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).