Prime interval: Difference between revisions

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	A '''prime ~~interval''' or '''primary~~ interval''' is a musical interval which as a ratio of frequencies is a [[prime number]]; that is, a number such as 2, 3, 5, 7, 11, ... which is divisible only by itself and 1. Any musical interval in the [[p-limit]] can be expressed in terms of a product of prime numbers less than or equal to p.		A '''prime interval''' is a musical interval which as a ratio of frequencies is a [[prime number]]; that is, a number such as 2, 3, 5, 7, 11, ... which is divisible only by itself and 1. Any musical interval in the [[p-limit]] can be expressed in terms of a product of prime numbers less than or equal to p.

	For example, the [[octave]] is a prime interval whereas the intervals [[5/3]] or even [[1/1]] are not. In traditional ratio notation, the prime intervals are [[2/1]], [[3/1]], [[5/1]], [[7/1]], [[11/1]] etc.		For example, the [[octave]] is a prime interval whereas the intervals [[5/3]] or even [[1/1]] are not. In traditional ratio notation, the prime intervals are [[2/1]], [[3/1]], [[5/1]], [[7/1]], [[11/1]] etc.