OpenMusic Reference
decompo
decompo
(Zn module) -- Factorizes a given integer in into a product of five primes (p1 p2 n1 n2 n3) corresponding to a the attributes of a Regular Compementary Canon of Maximal Category
Syntax
decompo n
Inputs
| name | data type(s) | comments |
|---|---|---|
| n | a positive integer | one of the list of “good primes” produced by canon-n |
Output
| output | data type(s) | comments |
|---|---|---|
| first | a list of integers |
Description
The module breaks down n into five numbers (p1 p2 n1 n2 n3) where:
-
The product of all five is the period of a Regular Complementary Canon of Maximal Category.
-
p1 and p2 are different primes.
-
The number of voice in the canon is equal to the product n1n2.
-
The product p1n1 and the prooduct p2n2 have no common denominators.
-
The number of attacks in a single period of the ground rhythm is equal to the product p1p2n3.
-
n3 is an integer greater than 1.
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