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@bmcfee
Created September 2, 2013 21:57
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***Time-stretching by dynamic beat salience***\n",
"\n",
"***Music Hackathon - 2013/08***\n",
"\n",
"Brian McFee <brm2132@columbia.edu> @functiontelechy"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import itertools\n",
"\n",
"import numpy as np\n",
"import scipy\n",
"\n",
"import sklearn\n",
"\n",
"import librosa"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 79
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def stretcher(y, sr, structure, n_fft=2048):\n",
" '''Beat-synchronous time stretcher.\n",
" Given a song and a beat pattern, dynamically warps each beat to the ratio in the structure.\n",
"\n",
" Example:\n",
" y_out = stretcher(y, sr, [1.0, 1.0, 2.0])\n",
"\n",
" will double the duration of every third beat.\n",
"\n",
" In general, the i'th beat is stretched to length\n",
" structure[i] * m\n",
" where m is the median duration between beats for the entire song.\n",
"\n",
" :parameters:\n",
"\n",
" - y : np.array\n",
" the input song waveform\n",
"\n",
" - sr : int > 0\n",
" the sample rate of the song\n",
"\n",
" - structure : iterable, numeric\n",
" iterable which contains the stretch pattern.\n",
" can be an array or a generator.\n",
"\n",
" - n_fft : int > 0\n",
" number of FFT bins\n",
"\n",
" :returns:\n",
" - y_out : np.array\n",
" the time-warped array\n",
" '''\n",
" \n",
" hop_length = n_fft / 4\n",
" \n",
" # First, get the tempo and beats\n",
" tempo, beats = librosa.beat.beat_track(y, sr, n_fft=n_fft, hop_length=hop_length, trim=False)\n",
" \n",
" # Construct the stft\n",
" D = librosa.core.stft(y, n_fft=n_fft, hop_length=hop_length)\n",
" \n",
" # Pad the beats\n",
" beats = np.unique(np.hstack((0, beats, D.shape[1])))\n",
" \n",
" Dout = None\n",
" \n",
" for start, end, f in itertools.izip(beats[:-1], beats[1:], itertools.cycle(structure)):\n",
" \n",
" if f == 0:\n",
" continue\n",
" \n",
" Dtmp = librosa.phase_vocoder(D[:, start:end], f, hop_length=hop_length)\n",
" \n",
" if Dout is None:\n",
" Dout = Dtmp\n",
" else:\n",
" Dout = np.hstack((Dout, Dtmp))\n",
" \n",
" return librosa.istft(Dout, n_fft=n_fft, hop_length=hop_length)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 80
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def cluster_stretcher(y, sr, k=16, beta=0.5, n_fft=2048):\n",
" \n",
" # first, detect beats\n",
" hop_length = n_fft / 4\n",
" \n",
" # First, get the tempo and beats\n",
" tempo, beats = librosa.beat.beat_track(y, sr, n_fft=n_fft, hop_length=hop_length, trim=False)\n",
" \n",
" # Construct the stft\n",
" S = librosa.feature.melspectrogram(y, n_fft=n_fft, hop_length=hop_length, n_mels=128, fmax=8000)\n",
" S = S / S.max()\n",
" \n",
" S = librosa.logamplitude(S**2)\n",
" M = librosa.feature.mfcc(S, 32)\n",
" \n",
" # Compute mfccs\n",
" M = scipy.stats.zscore(librosa.feature.sync(M, beats), axis=1)\n",
" \n",
" # Cluster the beats\n",
" W = sklearn.cluster.KMeans(n_clusters=k)\n",
" W.fit(M.T)\n",
" \n",
" # Get the cluster assignments\n",
" L = W.labels_\n",
" Ctotal = np.bincount(L).astype(float)\n",
"\n",
" n = Ctotal.sum()\n",
" \n",
" C = np.zeros(k)\n",
" \n",
" for i, label in enumerate(L, 1):\n",
" C[label] = C[label] + 1.0\n",
" R = C[label] / i\n",
" Rexp = Ctotal[label] / n\n",
" yield (R / Rexp) ** beta\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 63
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y, sr = librosa.load('they_might_be_giants--particle_man.mp3', sr=None)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 43
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure(figsize=(10, 4))\n",
"z = [x for x in cluster_stretcher(y, sr, k=3, beta=1.0)]\n",
"plot(z, linestyle=':'), axis('tight')\n",
"plot(scipy.signal.medfilt(z, 3))\n",
"hlines(1.0, 0, len(z))\n",
"axis('tight')\n",
"xlabel('Beats')\n",
"ylabel('Speedup')\n",
"legend(['Original', 'Median-filtered'])\n",
"title('Particle Man')\n",
"savefig('particle_accelerator.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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n3GfMmDGMGTOmym2xsbHVHmXnZA8+CDGxBohERt4RQgghhBAXrXrJ6NenqVNh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\nTWBgIAsXLtT2adSoEbGxsZU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wml6UzqZN8Oijqk+DhwekFanpeVMLVUZfp1NPIRyzzR4p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\nEWTQlyRJkiLIoC9JkiRF0DdqQ/bbq1jOfQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xeb33910>"
]
}
],
"prompt_number": 76
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y_flat = stretcher(y, sr, scipy.signal.medfilt([x for x in cluster_stretcher(y, sr, k=3, beta=1.0)], 3))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 77
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"librosa.output.write_wav('particle_accelerator.wav', y_flat, sr)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 78
}
],
"metadata": {}
}
]
}
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