hmt-0.20: Haskell Music Theory
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LanguageHaskell2010

Music.Theory.Tuning.Polansky_1978

Description

Larry Polansky. "Psaltery (for Lou Harrison)". Frog Peak Music, 1978.

Synopsis

Documentation

psaltery_r :: [Rational] Source #

Three interlocking harmonic series on 1:5:3, by Larry Polansky in "Psaltery".

import qualified Music.Theory.Tuning.Scala as T
scl <- T.scl_load "polansky_ps"
T.pitch_representations (T.scale_pitches scl) == (0,50)
1 : Data.Either.rights (T.scale_pitches scl) == psaltery_r

psaltery_o_r :: [Rational] Source #

fold_ratio_to_octave' of psaltery.

length psaltery_r == 51 && length psaltery_o_r == 21
psaltery_o_r == [1,65/64,33/32,17/16,35/32,9/8,75/64,39/32
                ,5/4,21/16,85/64,11/8,45/32
                ,3/2,25/16,51/32,13/8,27/16,55/32,7/4,15/8]

psaltery_o :: Tuning Source #

Tuning derived from psaltery_o with octave_ratio of 2.

cents_i psaltery_o == [0,27,53,105,155,204,275,342,386,471,491,551,590

,702,773,807,841,906,938,969,1088]

let r = [0,1200,1902,2400,2786,3102,3369,3600,3804,3986,4151,4302,4441,4569,4688,4800,4905

,386,1586,2288,2786,3173,3488,3755,3986,4190,4373,4538,4688,4827,4955,5075,5186,5291 ,702,1902,2604,3102,3488,3804,4071,4302,4506,4688,4853,5004,5142,5271,5390,5502] > in cents_i (T.scale_tuning 0.01 scl) == r