durtools.in_terms_of

abjad.tools.durtools.in_terms_of(q, desired_denominator)

Rewrite q in terms of desired_denominator.

  • q: int, long, Rational. Input value to rewrite.
  • desired_denominator: int. Desired denominator of output.

Returns (a', b') pair such that a' = a * desired_denominator / b and b' = desired_denominator.

>>> for pair in [(n, 6) for n in range(12)]:
...     print pair, in_terms_of(pair, 12)
... 
(0, 6) (0, 12)
(1, 6) (2, 12)
(2, 6) (4, 12)
(3, 6) (6, 12)
(4, 6) (8, 12)
(5, 6) (10, 12)
(6, 6) (12, 12)
(7, 6) (14, 12)
(8, 6) (16, 12)
(9, 6) (18, 12)
(10, 6) (20, 12)
(11, 6) (22, 12)

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