Safe Haskell	Safe-Inferred
Language	Haskell2010

Music.Theory.Z.Lewin_1980

Description

David Lewin. "A Response to a Response: On PC Set Relatedness". Perspectives of New Music, 18(1-2):498-502, 1980.

Synopsis

type Z12 = Int8
rel :: Floating n => (Int -> [a] -> [n]) -> [a] -> [a] -> n
t_rel :: Floating n => [Z12] -> [Z12] -> n
ti_rel :: Floating n => [Z12] -> [Z12] -> n

Documentation

type Z12 = Int8 Source #

rel :: Floating n => (Int -> [a] -> [n]) -> [a] -> [a] -> n Source #

REL function with given ncv function (see t_rel and ti_rel).

t_rel :: Floating n => [Z12] -> [Z12] -> n Source #

T-equivalence REL function.

Kuusi 2001, 7.5.2

let (~=) p q = abs (p - q) < 0.001
t_rel [0,1,2,3,4] [0,2,3,6,7] ~= 0.429
t_rel [0,1,2,3,4] [0,2,4,6,8] ~= 0.253
t_rel [0,2,3,6,7] [0,2,4,6,8] ~= 0.324

ti_rel :: Floating n => [Z12] -> [Z12] -> n Source #

T/I-equivalence REL function.

Buchler 1998, Fig. 3.38

let (~=) p q = abs (p - q) < 0.001
let a = [0,2,3,5,7]::[Z12]
let b = [0,2,3,4,5,8]::[Z12]
let g = [0,1,2,3,5,6,8,10]::[Z12]
let j = [0,2,3,4,5,6,8]::[Z12]
ti_rel a b ~= 0.593
ti_rel a g ~= 0.648
ti_rel a j ~= 0.509
ti_rel b g ~= 0.712
ti_rel b j ~= 0.892
ti_rel g j ~= 0.707