durationtools.yield_all_assignable_rationals_in_cantor_diagonalized_order

abjad.tools.durationtools.yield_all_assignable_rationals_in_cantor_diagonalized_order.yield_all_assignable_rationals_in_cantor_diagonalized_order()[source]

New in version 2.0.

Yield all assignable rationals in Cantor diagonalized order:

abjad> from abjad.tools import durationtools
abjad> generator = durationtools.yield_all_assignable_rationals_in_cantor_diagonalized_order()
abjad> for n in range(16):
...     generator.next()
...
Fraction(1, 1)
Fraction(2, 1)
Fraction(1, 2)
Fraction(3, 1)
Fraction(4, 1)
Fraction(3, 2)
Fraction(1, 4)
Fraction(6, 1)
Fraction(3, 4)
Fraction(7, 1)
Fraction(8, 1)
Fraction(7, 2)
Fraction(1, 8)
Fraction(7, 4)
Fraction(3, 8)
Fraction(12, 1)

Return fraction generator.

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