Prime interval: Difference between revisions

@@ Line 1: / Line 1: @@
-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.
+:''<tt>"Proposal", see [[#Open questions]]</tt>''
+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.
+The prime intervals are [[2/1]], [[1/2]], [[3/1]], [[1/3]], [[5/1]], [[1/5]], [[7/1]], etc.
+The interval [[5/3]], for example, is not considered a prime interval.
-== see also ==
+== Open questions ==
-<ul><li>[[Octave|Octave]]</li></ul>
-[[Category:term]]
+* What about [[1/1]]?
-[[Category:todo:simplify]]
+* What about [[octave equivalence]]?
+== See also ==
+* [[Octave]]
+* [[Prime harmonic series]]
+[[Category:Term]]
+[[Category:Prime]]
+[[Category:Todo:review]]