Music.Theory.Z.Rahn_1980

John Rahn. Basic Atonal Theory. Longman, New York, 1980.

Documentation

rahn_cmp :: Ord a => [a] -> [a] -> Ordering

Rahn prime form (comparison is rightmost inwards).

rahn_cmp [0,1,3,6,8,9] [0,2,3,6,7,9] == GT

z_rahn_prime :: Integral i => Z i -> [i] -> [i]

Rahn prime form, ie. ti_cmp_prime of rahn_cmp.

z_rahn_prime z12 [0,1,3,6,8,9] == [0,2,3,6,7,9]

rahn_forte_diff :: Num n => [[n]]

The six sets where the Forte and Rahn prime forms differ. Given here in Forte prime form.

all (\p -> Forte_1973.forte_prime z12 p /= rahn_prime z12 p) rahn_forte_diff == True