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Replaced vibrating string's overtones with hydrogen atom in https://gist.github.com/endolith/3066664
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "0089743f-1d93-4087-956c-f7853dd4a7fb", | |
"metadata": {}, | |
"source": [ | |
"https://gist.github.com/endolith/3066664" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"id": "66cc5f8c-659f-4fc7-adbe-eaf75b960fb8", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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| |
"text/plain": [ | |
"<Figure size 1400x400 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"\"\"\"\n", | |
"Python translation of http://sethares.engr.wisc.edu/comprog.html\n", | |
"\"\"\"\n", | |
"import numpy as np\n", | |
"\n", | |
"\n", | |
"def dissmeasure(fvec, amp, model='min'):\n", | |
" \"\"\"\n", | |
" Given a list of partials in fvec, with amplitudes in amp, this routine\n", | |
" calculates the dissonance by summing the roughness of every sine pair\n", | |
" based on a model of Plomp-Levelt's roughness curve.\n", | |
"\n", | |
" The older model (model='product') was based on the product of the two\n", | |
" amplitudes, but the newer model (model='min') is based on the minimum\n", | |
" of the two amplitudes, since this matches the beat frequency amplitude.\n", | |
" \"\"\"\n", | |
" # Sort by frequency\n", | |
" sort_idx = np.argsort(fvec)\n", | |
" am_sorted = np.asarray(amp)[sort_idx]\n", | |
" fr_sorted = np.asarray(fvec)[sort_idx]\n", | |
"\n", | |
" # Used to stretch dissonance curve for different freqs:\n", | |
" Dstar = 0.24 # Point of maximum dissonance\n", | |
" S1 = 0.0207\n", | |
" S2 = 18.96\n", | |
"\n", | |
" C1 = 5\n", | |
" C2 = -5\n", | |
"\n", | |
" # Plomp-Levelt roughness curve:\n", | |
" A1 = -3.51\n", | |
" A2 = -5.75\n", | |
"\n", | |
" # Generate all combinations of frequency components\n", | |
" idx = np.transpose(np.triu_indices(len(fr_sorted), 1))\n", | |
" fr_pairs = fr_sorted[idx]\n", | |
" am_pairs = am_sorted[idx]\n", | |
"\n", | |
" Fmin = fr_pairs[:, 0]\n", | |
" S = Dstar / (S1 * Fmin + S2)\n", | |
" Fdif = fr_pairs[:, 1] - fr_pairs[:, 0]\n", | |
"\n", | |
" if model == 'min':\n", | |
" a = np.amin(am_pairs, axis=1)\n", | |
" elif model == 'product':\n", | |
" a = np.prod(am_pairs, axis=1) # Older model\n", | |
" else:\n", | |
" raise ValueError('model should be \"min\" or \"product\"')\n", | |
" SFdif = S * Fdif\n", | |
" D = np.sum(a * (C1 * np.exp(A1 * SFdif) + C2 * np.exp(A2 * SFdif)))\n", | |
"\n", | |
" return D\n", | |
"\n", | |
"\n", | |
"from numpy import array, linspace, empty, concatenate\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"\"\"\"\n", | |
"Reproduce Sethares Figure 3\n", | |
"http://sethares.engr.wisc.edu/consemi.html#anchor15619672\n", | |
"\"\"\"\n", | |
"freq = 500 * np.arange(1, 11)\n", | |
"# amp = 0.88**array([0, 1, 2, 3, 4, 5])\n", | |
"amp = np.ones_like(freq)\n", | |
"r_low = 1\n", | |
"alpharange = 2.3\n", | |
"method = 'product'\n", | |
"\n", | |
"# # Davide Verotta Figure 4 example\n", | |
"# freq = 261.63 * array([1, 2, 3, 4, 5, 6])\n", | |
"# amp = 1 / array([1, 2, 3, 4, 5, 6])\n", | |
"# r_low = 1\n", | |
"# alpharange = 2.0\n", | |
"# method = 'product'\n", | |
"\n", | |
"n = 3000\n", | |
"diss = empty(n)\n", | |
"a = concatenate((amp, amp))\n", | |
"for i, alpha in enumerate(linspace(r_low, alpharange, n)):\n", | |
" f = concatenate((freq, alpha*freq))\n", | |
" d = dissmeasure(f, a, method)\n", | |
" diss[i] = d\n", | |
"\n", | |
"plt.figure(figsize=(14, 4), dpi=100)\n", | |
"plt.plot(linspace(r_low, alpharange, len(diss)), diss)\n", | |
"plt.xscale('log')\n", | |
"plt.xlim(r_low, alpharange)\n", | |
"\n", | |
"plt.xlabel('frequency ratio')\n", | |
"plt.ylabel('sensory dissonance')\n", | |
"\n", | |
"# intervals = [(1, 1), (6, 5), (5, 4), (4, 3), (3, 2), (5, 3), (2, 1)]\n", | |
"seen = set()\n", | |
"intervals = []\n", | |
"for n in range(1, 10):\n", | |
" for d in range(1, 10):\n", | |
" if r_low < n/d < alpharange and n/d not in seen:\n", | |
" intervals.append((n, d))\n", | |
" seen.add(n/d)\n", | |
"\n", | |
"for n, d in intervals:\n", | |
" plt.axvline(n/d, color='silver')\n", | |
"\n", | |
"plt.yticks([])\n", | |
"plt.minorticks_off()\n", | |
"plt.xticks([n/d for n, d in intervals],\n", | |
" ['{}/{}'.format(n, d) for n, d in intervals])\n", | |
"plt.tight_layout()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "9ac1ed9c-1a30-4a1d-80ed-719ca60d12cb", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 1400x400 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"\"\"\"\n", | |
"Python translation of http://sethares.engr.wisc.edu/comprog.html\n", | |
"\n", | |
"Which was posted as a gist here: https://gist.github.com/endolith/3066664\n", | |
"\n", | |
"I modified it, replacing the vibrating string's overtones with a hydrogen atom.\n", | |
"\"\"\"\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"def dissmeasure(fvec, amp, model='min'):\n", | |
" \"\"\"\n", | |
" Given a list of partials in fvec, with amplitudes in amp, this routine\n", | |
" calculates the dissonance by summing the roughness of every sine pair\n", | |
" based on a model of Plomp-Levelt's roughness curve.\n", | |
"\n", | |
" The older model (model='product') was based on the product of the two\n", | |
" amplitudes, but the newer model (model='min') is based on the minimum\n", | |
" of the two amplitudes, since this matches the beat frequency amplitude.\n", | |
" \"\"\"\n", | |
" # Sort by frequency\n", | |
" sort_idx = np.argsort(fvec)\n", | |
" am_sorted = np.asarray(amp)[sort_idx]\n", | |
" fr_sorted = np.asarray(fvec)[sort_idx]\n", | |
"\n", | |
" # Used to stretch dissonance curve for different freqs:\n", | |
" Dstar = 0.24 # Point of maximum dissonance\n", | |
" S1 = 0.0207\n", | |
" S2 = 18.96\n", | |
"\n", | |
" C1 = 5\n", | |
" C2 = -5\n", | |
"\n", | |
" # Plomp-Levelt roughness curve:\n", | |
" A1 = -3.51\n", | |
" A2 = -5.75\n", | |
"\n", | |
" # Generate all combinations of frequency components\n", | |
" idx = np.transpose(np.triu_indices(len(fr_sorted), 1))\n", | |
" fr_pairs = fr_sorted[idx]\n", | |
" am_pairs = am_sorted[idx]\n", | |
"\n", | |
" Fmin = fr_pairs[:, 0]\n", | |
" S = Dstar / (S1 * Fmin + S2)\n", | |
" Fdif = fr_pairs[:, 1] - fr_pairs[:, 0]\n", | |
"\n", | |
" if model == 'min':\n", | |
" a = np.amin(am_pairs, axis=1)\n", | |
" elif model == 'product':\n", | |
" a = np.prod(am_pairs, axis=1) # Older model\n", | |
" else:\n", | |
" raise ValueError('model should be \"min\" or \"product\"')\n", | |
" SFdif = S * Fdif\n", | |
" D = np.sum(a * (C1 * np.exp(A1 * SFdif) + C2 * np.exp(A2 * SFdif)))\n", | |
"\n", | |
" return D\n", | |
"\n", | |
"r_low = 1\n", | |
"alpharange = 10\n", | |
"method = 'product'\n", | |
"\n", | |
"def plot(how_many, amptype=\"thermal\"):\n", | |
" from numpy import array, linspace, empty, concatenate\n", | |
"\n", | |
" \"\"\"\n", | |
" Reproduce Sethares Figure 3\n", | |
" http://sethares.engr.wisc.edu/consemi.html#anchor15619672\n", | |
" \"\"\"\n", | |
" energy = (1.0 / np.arange(1, how_many)**2)[::-1]\n", | |
" freq = 100000 * energy\n", | |
" if amptype == \"thermal\":\n", | |
" amp = np.exp(-energy)\n", | |
" elif amptype == \"flat\":\n", | |
" amp = np.ones_like(energy)\n", | |
" else:\n", | |
" assert False\n", | |
" \n", | |
" n = 3000\n", | |
" diss = empty(n)\n", | |
" a = concatenate((amp, amp))\n", | |
" for i, alpha in enumerate(linspace(r_low, alpharange, n)):\n", | |
" f = concatenate((freq, alpha*freq))\n", | |
" d = dissmeasure(f, a, method)\n", | |
" diss[i] = d\n", | |
"\n", | |
" return linspace(r_low, alpharange, len(diss)), diss\n", | |
"\n", | |
"plt.figure(figsize=(14, 4), dpi=100)\n", | |
"\n", | |
"# plt.plot(*plot(8, \"thermal\"))\n", | |
"plt.plot(*plot(7, \"thermal\"))\n", | |
"plt.plot(*plot(7, \"flat\"))\n", | |
"\n", | |
"plt.xscale('log')\n", | |
"plt.xlim(r_low, alpharange)\n", | |
"\n", | |
"plt.xlabel('frequency ratio')\n", | |
"plt.ylabel('sensory dissonance')\n", | |
"\n", | |
"seen = set()\n", | |
"intervals = []\n", | |
"for n in range(1, 10):\n", | |
" for d in range(1, 10):\n", | |
" if r_low < (n/d)**2 < alpharange and n/d not in seen:\n", | |
" intervals.append((n, d))\n", | |
" seen.add(n/d)\n", | |
"\n", | |
"for n, d in intervals:\n", | |
" plt.axvline((n/d)**2, color='silver')\n", | |
"\n", | |
"plt.yticks([])\n", | |
"plt.minorticks_off()\n", | |
"plt.xticks([(n/d)**2 for n, d in intervals],\n", | |
" ['({}/{})\\u00b2'.format(n, d) for n, d in intervals])\n", | |
"plt.tight_layout()\n", | |
"plt.savefig(\"sethares.png\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "5a2ddf88-8c95-4dfe-a4df-6ef17e7f2118", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import IPython.display\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "358d754e-304d-4d66-850e-a61bc0283b75", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"\n", | |
" <audio controls=\"controls\" >\n", |
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