Prime number: Difference between revisions
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{{interwiki | {{interwiki | ||
| en = Prime number | | en = Prime number | ||
| de = | | de = Primzahl | ||
| es = | | es = | ||
| ja = 素数 | | ja = 素数 | ||
| ro = numere prime | |||
}} | }} | ||
{{Wikipedia}} | {{Wikipedia}} | ||
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{{Wikipedia|Integer factorization}} | {{Wikipedia|Integer factorization}} | ||
By the {{w|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 {{w|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. This is why, in regular temperament theory, prime [[Harmonic|harmonics]] are usually used as the basic building blocks of harmony. | ||
== Prime equal division == | == Prime equal division == | ||
{{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. | ||
== Coprime numbers == | |||
{{Wikipedia|Coprime integers}} | |||
Two integers are '''coprime''' if they have no divisor in common except 1. | |||
== See also == | == See also == | ||
* [[Prime harmonic series]] | * [[Prime harmonic]] and [[prime harmonic series]] | ||
* [[Harmonic limit]] | * [[Harmonic limit]] | ||
* [[ | * [[Table of integer factorizations]] | ||
== External links == | == External links == | ||