Prime interval: Difference between revisions

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.  

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.

The [[monzo]] notation of each prime interval has only one <code>1</code> 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}}, ...)

* [[Patent val]]

* [[Consistency]]