Prime number: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Move prime edo theories to the dedicated page and other cleanups
+a note on prime factorization
Line 6: Line 6:
}}
}}
A '''prime number''' is an integer (whole number) greater than one that is divisible only by itself and one. There are an infinite number of prime numbers, the first few of which are 2, 3, 5, 7, 11, 13, ….  
A '''prime number''' is an integer (whole number) greater than one that is divisible only by itself and one. There are an infinite number of prime numbers, the first few of which are 2, 3, 5, 7, 11, 13, ….  
== Prime factorization ==
By the [[wikipedia: Fundamental theorem of arithmetic|fundamental theorem of arithmetic]], any [[ratio]] can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as [[monzo]]s.


== Prime EDO ==
== Prime EDO ==
Line 12: Line 15:
== See also ==
== See also ==
* [[Prime harmonic series]]
* [[Prime harmonic series]]
* [[Monzo]] – an alternative notation for interval ratios
* [[Harmonic limit]]
* [[Harmonic limit]]



Revision as of 12:44, 4 July 2021

A prime number is an integer (whole number) greater than one that is divisible only by itself and one. There are an infinite number of prime numbers, the first few of which are 2, 3, 5, 7, 11, 13, ….

Prime factorization

By the fundamental theorem of arithmetic, any ratio can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as monzos.

Prime EDO

See also

Links