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| A '''prime interval''' or '''prime harmonic''' 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 [[Harmonic limit|''p''-limit]] can be expressed in terms of a product of prime numbers less than or equal to ''p''.
| | #REDIRECT [[Harmonic#Prime harmonic]] |
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| For example, the [[2/1|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.
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| The [[monzo]] notation of each prime interval consists of all-zeros except for a single unity entry: (2: {{monzo| 1 }}, 3: {{monzo| 0 1 }}, 5: {{monzo| 0 0 1 }}, 7: {{monzo| 0 0 0 1 }}, 11: {{monzo| 0 0 0 0 1 }}, …)
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| == Individual pages ==
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| See [[:Category: Prime harmonics]].
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| == See also ==
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| * [[Patent val]]
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| * [[Harmonic limit]]
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| * [[Prime harmonic series]]
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| [[Category:Terms]]
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| [[Category:Prime]] | | [[Category:Prime]] |
| [[Category:Harmonic]]
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| [[Category:Todo:review]]
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| [[Category:Todo:expand]]
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