Prime interval: Difference between revisions
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A '''prime interval''' is a musical interval which as a ratio of frequencies is a [[prime_numbers|prime number]]; that is, a number such as 2, 3, 5, 7, ... which is divisible only by itself and 1. Any musical interval in the [[Harmonic_Limit|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_numbers|prime number]]; that is, a number such as 2, 3, 5, 7, ... which is divisible only by itself and 1. Any musical interval in the [[Harmonic_Limit|p-limit]] can be expressed in terms of a product of prime numbers less than or equal to p. | ||
Intervals such as [[5/3]] are not considered prime intervals; the prime intervals are [[2/1]], [[3/1]], [[5/1]], [[7/1]], etc. | |||
== see also == | == see also == | ||
<ul><li>[[Octave|Octave]]</li></ul> [[Category:term]] | <ul><li>[[Octave|Octave]]</li></ul> | ||
[[Category:term]] | |||
[[Category:todo:simplify]] | [[Category:todo:simplify]] | ||
Revision as of 22:32, 29 June 2019
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, ... 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.
Intervals such as 5/3 are not considered prime intervals; the prime intervals are 2/1, 3/1, 5/1, 7/1, etc.