Prime number: Difference between revisions
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{{Main| Prime equal division }} | {{Main| Prime equal division }} | ||
A prime equal division is an [[equal-step tuning]] that divides a given [[interval] into a prime number of pitches. They are notable because of many interesting properties. | A prime equal division is an [[equal-step tuning]] that divides a given [[interval]] into a prime number of pitches. They are notable because of many interesting properties. | ||
== See also == | == See also == | ||
Revision as of 15:54, 1 April 2025
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 interval into a prime number of pitches. They are notable because of many interesting properties.
See also
External links
- Die Primzahlseite (German) by Arndt Brünner (helpful tools for prime factorization and ~test)