Frequency temperament: Difference between revisions

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	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 to equate it to 0 (the additive identity) instead of 1 (the multiplicative identity).		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 to equate it to 0 (the additive identity) instead of 1 (the multiplicative identity).

	The arithmetic equivalent of [[monzos]]s is, in a ~~sense~~, [https://en.wikipedia.org/wiki/Positional_notation positional numeral systems] like the decimal system–monzos represent numbers as a product of the powers of the base elements (primes), whereas positional numeral systems represent numbers as a sum of the multiples of the base elements.		The arithmetic equivalent of [[monzos]]s is, in a way, [https://en.wikipedia.org/wiki/Positional_notation positional numeral systems] like the decimal or binary system–monzos represent numbers as a product of the powers of the base elements (primes), whereas positional numeral systems represent numbers as a sum of the multiples of the base elements.