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@leftaroundabout
Last active September 9, 2017 08:18
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Comparison of the frequencies you get for various just-intonation constructions of the notes C♯ and D♭
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"{-# LANGUAGE FlexibleContexts #-}\n",
"import Diagrams.Prelude\n",
"import Diagrams.Backend.Cairo (Cairo)\n",
"import Control.Monad\n",
"type Dia = QDiagram Cairo V2 Double Any\n",
"import Data.Ratio"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"keyboard :: Dia\n",
"keyboard = hcat [ rect 1 8 & fc (c k) & opacity 0.1\n",
" | k <- \" ❚ ❚ ❚ ❚ ❚ \" ]\n",
" where c ' ' = white\n",
" c '❚' = black"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"type Freq = Double -- relative to C\n",
"data AccidentalChoice = PreferSharps | PreferFlats"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"labelFreq :: AccidentalChoice -> Freq -> String\n",
"labelFreq accCh ν = noteNames!!s\n",
" ++ (if ε<0 then id else ('+':)) (show $ round ε) ++ \"ct\"\n",
" where lν = logBase 2 ν\n",
" s = round $ lν * 12\n",
" ε = lν*1200 - fromIntegral s*100\n",
" noteNames = case accCh of\n",
" PreferSharps -> words \"C C♯ D D♯ E F F♯ G G♯ A A♯ B\"\n",
" PreferFlats -> words \"C D♭ D E♭ E F G♭ G A♭ A B♭ B\"\n",
"\n",
"showRatio :: Rational -> String\n",
"showRatio q = map toSup (show $ numerator q) ++ \"⁄\" ++ map toSub (show $ denominator q)\n",
" where toSup = (\"⁰¹²³⁴⁵⁶⁷⁸⁹\"!!) . subtract (fromEnum '0') . fromEnum\n",
" toSub = (\"₀₁₂₃₄₅₆₇₈₉\"!!) . subtract (fromEnum '0') . fromEnum"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"constructNote :: AccidentalChoice -> [Rational] -> Dia\n",
"constructNote accCh = go 1\n",
" where go _ [] = mempty\n",
" go ν₀ (qν:qνs)\n",
" = (fromVertices [ p₀^&1, pn^&0 ] # opacity 0.5\n",
" <> circle 0.1 # moveTo (pn^&0)\n",
" <> text (showRatio qν) # scale 0.5 # moveTo ((p₀+pn)/2^& 0.2)\n",
" <> text (labelFreq accCh νn) # scale 0.5 # moveTo (pn^& 0.5) )\n",
" ===\n",
" go νn qνs\n",
" where νn = ν₀ * realToFrac qν\n",
" [p₀,pn] = (*12) . logBase 2 <$> [ν₀,νn]\n",
"\n",
"onKeyboard :: Dia -> Dia\n",
"onKeyboard pth\n",
" = strutX 2 ||| (pth # alignT <> keyboard # alignT) ||| strutX 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pythagorean, upwards\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"onKeyboard $ constructNote PreferSharps [3/2, 3/4, 3/2, 3/4, 3/2, 3/4, 3/4]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pythagorean, downwards\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"onKeyboard $ constructNote PreferFlats [4/3, 4/3, 2/3, 4/3, 2/3]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ptolemaic, upwards\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"onKeyboard $ constructNote PreferSharps [3/2, 3/4, 5/4, 3/4]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Alternative:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"onKeyboard $ constructNote PreferSharps [4/3, 5/4, 5/8]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ptolemaic, downwards\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"onKeyboard $ constructNote PreferFlats [4/3, 4/5]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Haskell",
"language": "haskell",
"name": "haskell"
},
"language_info": {
"codemirror_mode": "ihaskell",
"file_extension": ".hs",
"name": "haskell",
"version": "7.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@leftaroundabout
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