Frequency temperament: Difference between revisions

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	This notion of the arithmetic equivalent of monzos naturally extends into the arithmetic equivalent of mappings, using the place values of the selected positional numeral system as the basis elements instead of primes. Thus, 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/division, tempering out a [[comma]] means mapping it to 0 (the additive identity) instead of 1 (the multiplicative identity).		This notion of the arithmetic equivalent of monzos naturally extends into the arithmetic equivalent of mappings, using the place values of the selected positional numeral system as the basis elements instead of primes. Thus, 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/division, tempering out a [[comma]] means mapping it to 0 (the additive identity) instead of 1 (the multiplicative identity).
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