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== Prime factorization == | == Prime factorization == | ||
{{Wikipedia|Integer factorization}} | {{Wikipedia|pname=false|Integer 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. | 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. | ||
Revision as of 03:27, 29 October 2024
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 equal division
A prime equal division is an equal-step tuning that divides a given equave into a prime number of pitches. They are notable because of many interesting properties.
See also
Links
- Die Primzahlseite (German) by Arndt Brünner (helpful tools for prime factorization and ~test)