| Safe Haskell | Safe-Inferred |
|---|---|
| Language | Haskell2010 |
Music.Theory.Tuning.Polansky_1984
Description
Larry Polansky. "Tuning Systems in American Gamelan, Part I: Interval Sizes in Javanese Slendro". Balungan, 1(2):9-11, 1984
Synopsis
- k_manisrenga :: Fractional n => [n]
- k_kanjutmesem :: Fractional n => [n]
- k_udanriris :: Fractional n => [n]
- k_pengawesari :: Fractional n => [n]
- k_rarasrum :: Fractional n => [n]
- k_hardjanagara :: Fractional n => [n]
- k_madukentir :: Fractional n => [n]
- k_surak :: Fractional n => [n]
- k_set :: Fractional n => [[n]]
- calculate_averages :: Fractional n => [[n]] -> [n]
- k_averages :: Fractional n => [n]
- gm_1 :: Fractional n => [n]
- gm_2 :: Fractional n => [n]
- gm_3 :: Fractional n => [n]
- gm_4 :: Fractional n => [n]
- gm_5 :: Fractional n => [n]
- gm_6 :: Fractional n => [n]
- gm_7 :: Fractional n => [n]
- gm_8 :: Fractional n => [n]
- gm_set :: Fractional n => [[n]]
- gm_averages :: Fractional n => [n]
- i_categories :: Num n => [((n, n), String)]
- i_category :: (Ord a, Num a) => a -> String
- i_category_table :: (Ord a, Num a) => [[a]] -> [String]
- polansky_1984_r :: [Rational]
- polansky_1984_c :: [Cents]
Documentation
k_manisrenga :: Fractional n => [n] Source #
k_kanjutmesem :: Fractional n => [n] Source #
k_udanriris :: Fractional n => [n] Source #
k_pengawesari :: Fractional n => [n] Source #
k_rarasrum :: Fractional n => [n] Source #
k_hardjanagara :: Fractional n => [n] Source #
k_madukentir :: Fractional n => [n] Source #
k_surak :: Fractional n => [n] Source #
k_set :: Fractional n => [[n]] Source #
The set of K slendro tunings.
map length k_set == replicate (length k_set) 5 minimum (concat k_set) == 206 maximum (concat k_set) == 268.5
calculate_averages :: Fractional n => [[n]] -> [n] Source #
Given a set of equal length lists calculate the average value of each position.
calculate_averages [[1,2,3],[3,2,1]] == [2,2,2]
k_averages :: Fractional n => [n] Source #
Averages of K set, p. 10.
k_averages == [233.8125,245.0625,234.0,240.8125,251.875]
gm_1 :: Fractional n => [n] Source #
gm_2 :: Fractional n => [n] Source #
gm_3 :: Fractional n => [n] Source #
gm_4 :: Fractional n => [n] Source #
gm_5 :: Fractional n => [n] Source #
gm_6 :: Fractional n => [n] Source #
gm_7 :: Fractional n => [n] Source #
gm_8 :: Fractional n => [n] Source #
gm_set :: Fractional n => [[n]] Source #
The set of GM (Gadja Mada University) slendro tunings.
map length gm_set == replicate (length gm_set) 5 minimum (concat gm_set) == 218 maximum (concat gm_set) == 262
gm_averages :: Fractional n => [n] Source #
Averages of GM set, p. 10.
gm_averages == [234.0,240.25,247.625,243.125,254.0625]
i_categories :: Num n => [((n, n), String)] Source #
Association list giving interval boundaries for interval class categories (pp.10-11).
i_category_table :: (Ord a, Num a) => [[a]] -> [String] Source #
Pretty interval category table (pp. 10-11).
i_category_table k_set == ["S L S S L " ,"S L S S L " ,"L L S S S " ,"L S S S L " ,"S S L S L " ,"S E-L S L L " ,"L E E S S " ,"S S S-E L L "]
i_category_table gm_set == ["S L E-L E L " ,"L S-E E S L " ,"S S-E S L S-E" ,"S L L S L " ,"S S-E E-L S L " ,"S S-E E E L " ,"S-E S L E L " ,"S S E-L L L "]
polansky_1984_r :: [Rational] Source #
Rational tuning derived from gm_averages, p.11.
polansky_1984_r == sort polansky_1984_r polansky_1984_r == [1/1,8/7,21/16,512/343,12/7,96/49]
import Music.Theory.List d_dx polansky_1984_r == [1/7,19/112,989/5488,76/343,12/49]
polansky_1984_c :: [Cents] Source #
ratio_to_cents of polansky_1984_r.
import Music.Theory.List map round (d_dx polansky_1984_c) == [231,240,223,240,231]