def test_tempotools_rewrite_integer_tempo_01():
pairs = tempotools.rewrite_integer_tempo(58, 8, 8)
assert pairs == [(Fraction(1, 2), Fraction(29, 1)),
(Fraction(1, 1), Fraction(58, 1)),
(Fraction(3, 2), Fraction(87, 1)),
(Fraction(2, 1), Fraction(116, 1))]
def test_tempotools_rewrite_integer_tempo_03():
pairs = tempotools.rewrite_integer_tempo(52, 4, 4)
assert pairs == [(Fraction(1, 2), Fraction(26, 1)),
(Fraction(3, 4), Fraction(39, 1)),
(Fraction(1, 1), Fraction(52, 1)),
(Fraction(3, 2), Fraction(78, 1)),
(Fraction(2, 1), Fraction(104, 1))]
def report_integer_tempo_rewrite_pairs(integer_tempo,
maximum_numerator=None, maximum_denominator=None):
'''Report `integer_tempo` rewrite pairs.
Allow no tempo less than half `integer_tempo` or
greater than double `integer_tempo`:
::
>>> tempotools.report_integer_tempo_rewrite_pairs(
... 58, maximum_numerator=8, maximum_denominator=8)
2:1 29
1:1 58
2:3 87
1:2 116
With more lenient numerator and denominator:
::
>>> tempotools.report_integer_tempo_rewrite_pairs(
... 58, maximum_numerator=30, maximum_denominator=30)
2:1 29
29:15 30
29:16 32
29:17 34
29:18 36
29:19 38
29:20 40
29:21 42
29:22 44
29:23 46
29:24 48
29:25 50
29:26 52
29:27 54
29:28 56
1:1 58
29:30 60
2:3 87
1:2 116
Returns none.
'''
from abjad.tools import tempotools
pairs = tempotools.rewrite_integer_tempo(
integer_tempo, maximum_numerator=maximum_numerator, maximum_denominator=maximum_denominator)
for multiplier, tempo in pairs:
print '{}\t{}'.format(multiplier.prolation_string, tempo)
def test_tempotools_rewrite_integer_tempo_02():
pairs = tempotools.rewrite_integer_tempo(58, 30, 30)
assert pairs == [(Fraction(1, 2), Fraction(29, 1)),
(Fraction(15, 29), Fraction(30, 1)),
(Fraction(16, 29), Fraction(32, 1)),
(Fraction(17, 29), Fraction(34, 1)),
(Fraction(18, 29), Fraction(36, 1)),
(Fraction(19, 29), Fraction(38, 1)),
(Fraction(20, 29), Fraction(40, 1)),
(Fraction(21, 29), Fraction(42, 1)),
(Fraction(22, 29), Fraction(44, 1)),
(Fraction(23, 29), Fraction(46, 1)),
(Fraction(24, 29), Fraction(48, 1)),
(Fraction(25, 29), Fraction(50, 1)),
(Fraction(26, 29), Fraction(52, 1)),
(Fraction(27, 29), Fraction(54, 1)),
(Fraction(28, 29), Fraction(56, 1)),
(Fraction(1, 1), Fraction(58, 1)),
(Fraction(30, 29), Fraction(60, 1)),
(Fraction(3, 2), Fraction(87, 1)),
(Fraction(2, 1), Fraction(116, 1))]