Prime number: Difference between revisions
m Fix a link |
No edit summary |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 13: | Line 13: | ||
{{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 == | ||
| Line 19: | Line 19: | ||
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]] | ||
* [[List of integer factorizations]] | * [[List of integer factorizations]] | ||