mfcc.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "import numpy, scipy, matplotlib.pyplot as plt, sklearn, librosa, urllib, IPython.display\n",
    "import essentia, essentia.standard as ess\n",
    "plt.rcParams['figure.figsize'] = (14,4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "[&larr; Back to Index](index.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Mel Frequency Cepstral Coefficients (MFCCs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "The [mel frequency cepstral coefficients](https://en.wikipedia.org/wiki/Mel-frequency_cepstrum) (MFCCs) of a signal are a small set of features (usually about 10-20) which concisely describe the overall shape of a spectral envelope. In MIR, it is often used to describe timbre."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "Download an audio file:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('simple_loop.wav', <httplib.HTTPMessage instance at 0x10ec5cd88>)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url = 'http://audio.musicinformationretrieval.com/simple_loop.wav'\n",
    "urllib.urlretrieve(url, filename='simple_loop.wav')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "Plot the audio signal:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x10ecb5fd0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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EHcaaloQxLmA7DCuZEqwNFDAwJhvmbKT3lxBCyM3VFkGQvymgkAMdLgSKltMsBgLjsjwi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\nAIBC+X/vCG9V6mcf7wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ec5d410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, fs = librosa.load('simple_loop.wav')\n",
    "librosa.display.waveplot(x, sr=fs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "Play the audio:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio controls=\"controls\" >\n",
       "                    <source 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zZLV8NqM39vgTNj2z+XSXN/A5QvoQvOMAkUBgOuK4cHoKvvIDv4TPA02BvwI8g/QExwYvRzqHaEUWBDTF0gjDzHgPdJAFEdCUJBR11yAZkZe6F8cY7JWM1QFTRNMQEW9NFs3BjOoMpkwOh+yG4kdEBYrDKoAIP6/BcT7mupe4aPSesaZzHTP5bcZqUun56DCrMywq6e7tuy0Ma3owDDIGchEz33S2thm4X7dONTxx+LEfcOHwWHCXLVev7bOdMxv3K7n6ed8/5UPogA8BBkJGgedGTInvh6YHIAq4yvOI08ZCzo5U7BjwV52VYxhek6bVPFc8ltzT4k82jmgPqcwYyV4La8nsyHVHaoj2SCcDWsXmg6jAa0DfgCZBbcZ3x9lC/3zqNL/1c7gn9I80NDNXsZL1nPgcuIb3qjIv9HQxDrCS9zu4KTmj9kO3Fnc1MwVyfrPVtuH387O88PFzTPTGdXA5PfpidnP1UPnA/BI79PlleTc/IT1PPTi+PD0YO8L9hDwgvL9FyEidiHXHLkO5A0BKUQ8sDYiQSxGX0HmOdYrqkK2PRIt9CEcIYQpsiS6I3knGDxnMC8k1yKTD9b0ZfMkDL0V3gqPA7T8/QCrBVIPDQtCAoIVKxVA+xbr8f2I8G3mcuEY6pL60+iG7V323u2z3tnWo86K1rPe6NM9ya2/csYGx+fE8r+XwTXLd7WisD6+dc752yfjn9uZ4Lnti96F3i3stPV6BEYG3AdTHWweWRzlH0QjeSY+IaQsyCwuKw8xGy//KDEaLhFnFeEtzy2iHXUYMyIfGuQQyxFlDcASThHkEYsQwBbyFjQYXRulDUgMERO9HP8p7RUh/CINkBSnA3UECf02CsL7T+0S89bXNdvW6aTdd+Me5XTWPNzX3e7vXfb68unh1eyb7NXWaeJK4eLk196Y5x3su+PV4JHZmfE6CNH4ceVk7SviHtwl6hH13w3HDv8VEgsx9iPqPfzgAtX6VAYk/K8ENwiA/LHuGOGv6aoIoQXnCFcW8BMOEe4WkSm3JdoSGxKvFEsZ2hy5E2EZMiQkHUAM/gZlAOMTbiGsE+z+8PzYBer/w/9kCqkL/QXIDR0B2ehI+tkEK++b4h3gqfZq7wPiI+zf6sfsy/OO74rxfPvL93vz+POM+Kr2G/AO923zTfGF+bnjAOeC913xKvoMBZz9/gCQGY8Nlf0X+/zziPg89hDxjvlLA2T1U/ho/v/8sgLOCfT+Uf/cCrUFHv7u+VQX8RQR9UT3vvnd/qQKvPgZ9eryR95X8kn27fYEBQn5ogKPCOkDWwV/FLcYdxl6G1UM4wKoCIcISxKMC04B3xRbF7sPYgdDD/UQ7x57KxciAg0DCkAV6hheCWX3agJdBGv5w+lV6FT5H93tyrXOFsiGzTnRGN+o4uLd5s/Z53rstOTh/b70Ud/d/LwLBwP/Ain6WQJw/hcDJO7x51UQGCA+EE4Q0gbvCz8PiA6gDRIGWxhwAl0G6Aeq+xb4n/2BCRYCrAHMAJkE8AfvEqkahwY5CQICXgiVCn0Cqg1Z/ab+5AZC+aL0bP8J/v75gfXt+lD1KQSR+0zvdgDtA6P7wQSGAnP8qgDY9mj5YgLTD4T7XfxKC8kGsvzQ+PjzG/WsE4gZkfMT7rHyWvGh6hPon+u393n1avTR+8bjl+w76oriUPPa+Cb59fUEAMIcYBEsB0f9WvD3/jgK/hYlGTMOLBD1DPr7+/kf+EL26gZo/ob7RQC78XYKxBgaC88DB/1nA/MKLf9OCBgMJQvYGdENJBS1Ar/vnP4KA7/+9PKiB3H/ifrI/DnpQvGs8qX8BvwVAdwGvPwq+Ufj+93V9HMFqfxNBs3+Vvgx+tr0vRJzDgn0GPYo8lPlGvxkBqwBHgUK80TjGOBm9dsTpRjIFJP/Qf0lAGr4mf9YDawDXfzSAl/9FfB993gHQvyYAbf3D/Kn+uHxOPHqCd4HsQ1hDTb39vYT+TkH+vkA9j8Gs/+R81LtoQAUDVgByvcN9I72ZPbpA+MJJQMREqgPBAL8+QAAvBknC10J1xbOF1wMUgVcBe8MmgGs9FkHOAScCiLsF+UM/pcCCv/h43PkWfC+8+f1BuvQ4jLxU/T6/zwBq/rFAKr9MASI/er4zgE/DSQBev+3At/8XQw6DzH/WfmyCscL5fZo8Dv3sQajBakDCAO6/AoDVAYS/AT7eQj19x721PVD7vj9YwLf+c/0hPoCCqb5vO2QA5P+r/Hr8uv8i/SH8wT+EPfM+fMPKRSHB4cBYfDC7noFUgIB9rgDnw04Ep4K9Q5ODGz4y/Is90EDlhAYCDL5aQGaDdAGIfv/9mf/6Qp0DKcOX/6b/9gCg/yk+vP9GQpqBA/u3O5EA5kBSe7u5oL1IQgn+874BwfcAU3+xQXV/8H3SfqN85v4E/p7960Cmvk/6lv0XvBs+173U+cR8on/+AWgAygGKgLxCYwDHPWyAJX6qwISDhMCfQdCC2L8NgClAJP4rAP7Af8NyxMkBj8Ay/NE/rgUg/ib87AHVP/P/xD+HvuO+IsEwwSo9gn61vnzDtAH9+/u+fAE/ASUA1cE4Aei+MjtBw4PDJoDiQEg9+b4dvsnDKoMMwLF7m/c3O2r9/XyI/qE9pnt2PQI8gnytPXZAq/7S/1U/zzoY/RZ/SYBOv3TCMgLBQUuDlEGawDZB6YDGQ4EE5kCifqV80b94AuWA/n6c/l89k8CqwPg9hsCeAiHAL8GjwOXBrsDV/bkA0wQTAZG/EwFIgiK/wwJMwOV/M8HrhCpBQQD4wxmAznx0fS+9yAAzAIz9tP68erz77v0++nT+bv2G/HW9cTsv+iL5XL1jP9P+T75QQS+BmEJHggLApcCDgL2/nD/2fypCEYPpP5dBvcIFgmb/dH65PsI9ub+PAJhBkoMaQoKBhIAwfnE/24G/wNxBdwAHAAV+hDxffXX70H0FAZvDOgKE/if+UgHKQiQBEj/W/ra+rUH6wdLAAryoflwDTMIfAVkBFf9EAQjBDwEq/hP+2/8M/gu89Tws/gV8F33Mvur9wr2mfbm8uP39/u1+pH3K/OA+N78+/1j9/zvuQCsBBT+9f5i+S8EsxH2Bq8I5gYyB7EQLQ5bEjoD6gfhAjv8tgRYAfYGrABkCnAD6fN++0Dyzvc8+zP+eQIc/Dr94gLY90X/swLx+GMGeQO4DawRlfxK+3EA7PfB/Nj8mgB//kX9TP+v/o8AwPcM//72XvRY+Xjxzvdy/MT+mwKl/U31r/0O/xL4FQGaANUGsANt+gQDXgV8A/b4X/k/CDoJfwLU/xcFcAMG9mT2BPui+vn7Y/Su86cFSwbX8pfx5Pj+8F3zYQLG/lnx4vDY/9/5kv33BjoAEQMRB4MHTvvNBMEJZxSwGAAD5QlsDDsHnAtwBy4DXglmCcv/Av80BYgLeQ71Cr0KFgHT98/38wKKBT8BSPgR7Tr1mvBr/Sn/Lvp/9fPwLvTf6MvoDvM39oTxS/Ys9tT6Evfe/cH4WPI7+K/6Wv0M/KT6ygF4C30DO/7U/fn7C/ad/1gBTQJqDAEH2vz4BNgHzwEYAPkJzRPfCk/96fQoA0IMSAOPAkcHpQVg94MDvgtZB3kDRPVf9kH4DP5JBIoCe/7i+U/z+ABu/2L2SPrcAgj/g/pNA4L8BPqV/en+cwAcAFb66vjx/fr5LPgLA7kCXQOiC6IGyv6s+pj6xwiIBogFJADS+6cEtQLJABP6Dfeg+2D/8fgH+oYE5/1d7yvzwPbf+er6d/mf+4v3uPlW9PL5nAIu+pn6zvwi/cv6NvpI+R75uvo1+Qj4a/r6ACMAhP2r/X4CWA7JCbwEdwfTCkoKWAsnCiIEQAWmAkoAmAW7D84ALPwHAqn/8fgoByoNYPqq/SUDSQQX/iT3sv39Bu779vSe7Invbfhy+sUEkvt7+50Cf/qFAX8D+v8Q/Uj2n/90CvD+NvOeAgEKL//mBkQG+fwG+r/83f8C9l0MkwWj9lj+oPaq+NAAjPww+Wv+gvZB9NX3tveB+cv66vt79wf7TgAM85v42vZQ9xD6R/Vv/0AAPQHkA+r8KfVZ+7AEZgvmCWsApfds9cIA3QetAnD8XwFGBaoBwgiiCS8IbgunCLoGOArkC8cH5/0t/3AHjAe6B50ESAfVBQ3/3QBy++z09fUG/14I9vmC+vj9h+/w7kj4BfsR+in/Avin+Vf+i/WZ+Ib9EP1R+Uz++wUy+9X4tPt9+gP59/lC/0sAdf+h+vX+AgqK/mPyHfn7ASQFJQZGAUP7BfrF/dL/nf6lAeD54vtEAfr3wfqEAk36WP5iCS4KegMlAjwD3fgX+RoAuP4oAIj8bPdJAlQCVf7pAJEA4AqPBun+qf2y9zn8PQJr/6P/wAfRA/ABKf89/QL/3ABiApIFtgJ2A6IJSgXF/PcCTAp1Auv6LQC9AM/7ZPo5+xsGG/hq9NX2hPcO+Ib0J/6Q+zb8Lvoq9pn8RfjQ+H35AvbV+IP5fvy+9/b0vAFf/9b2pPl3/sUADv+8Avz9Sf7aBP8A2fnH/i8DpgPAB0oL8QM3/K8FVAVtBIT+IAVPCMz/ywRc/S0BWgnOAmoB7/nd9ED8wQKJAscA+QAO+/L0cvVj/Qr+OAL4BbIDWf2R+boBgP+e/YEDigK7BK4B4/seBTIC3gBeAbr8p/3X/R7+gv6N/ZT/ywXi/pL+n/9K/+H/pP4AAw0CQAI7Akr9Afdi97X7SvqM+yj9q/I48VT0Afdt9+LwkfXf93/8Svev8ZX7KfvS/Hn8kPy+9hz/AgSl/TwDpgNuBNsBkAJGAgwFkwTdB5kJnAipC/4Izgo/BWsBKAbqAqED9QSoA7AB1gIaBLj9sf8qBbQBHP6L/Oz6N/sG+sb7b/dY+LX8EP0pABj8KPeT+gv4pPn7/6D7ePtR/UH7kv64ACH8Sfxx/6QDkAGr/pv9evku+q0CY/y/9+oBVvwv+tD9ovveAYYB0PszAFEApgK4A/n+IgOgAMv3jv2i/OH+iAG++Xb7Afgr9+b5Dv3y/eL+DQCbBLkFFvv0+iv80v0P/6MCkgLO/soBRAV0/3n9nQFi/7oBVgQiBmAESQI4AkYEAQUdCM8DPAR0BJsBpQMuAJ7/GPtf/pT/qwIe/Wn7tPyU+sH8Hf2W/aj6u/6J+SP6K/wU+FD2ff2t/aX7ivfN9/D8Rvgc+8X8F//k+uX5av3l+1n+xfy9++v74PxmAJb5Tv56AOX+uQJi/9YB2f1pATUF9f9GBKIEYwO5ABkGEf9xAmgFM/1h/ub7tf+n/tz+zvuc/Q/8JQAh/w382gF7/vz6/f5m/ef/zf9W/Er+NP+V/mn8bf/z/KEClgJ3A4kAif26Acz7Sf4KBEYBYAPkAiz8lwBU//36iP4JARQAkP00/mz9qP8F/Sz6Bf4M/1D9kfqY+tr71P2B/1gBJv88/Ov4WPnI+iL8z/xw9+T9sf6Y+8QBm/39/QkC7/0jABUDqQD+AMv+av67ALT9R/sT+g/7xP5z/z/+HgCfATYA+f5LAGYBT/9d/akCXwK9/BP8ggCEA2T8cvu0/y8Bu/9PAAH//vyQA4IAg/68Ac/+dQBb/pr+dQTWAqb/Wf6S/kcAtP4OADkDVQWWAq3+TwHMAoX/Nf1vAuYB0P6s/on7tPq9/WL/yPiW+rYAPfv5+W/98fzo/O79Zvz4/Rb9svpL+P32aPwIAR/88fZW+JP5Ff7J/er3uvXr9ff5Tv8IAdMB+f2p/rMBuAEhAeT/MAL0AQECeANQAoUBhAWnAB/8ygLPBOIAhgPIA3kE4AjBAKL9hwQ1BcAB2QFQAiEG4QSGATL/Gf6h+TD5XP6e+xP9RP2i96P4mPxs/FP+QP4R/8H7bfnF9mr5EwBW/8j9Fvuy/hf8ZfxqAFD/Xf8b/dL/eALkAPb+Pv8EAwsDZv7R/2gCvATrAlX/iwABAEn9Cfq7/sb/3v1z/ZP+Gv6u+lr5n/ic+oD6q/pm/HD7/v2B/A/3afuK/Mr7u/vE/38CBwGOAoMEOAG9/3oAzwVGBtYCHAbqANsBnwPKB2sGswWHA6IAUgNAAMD+bf/CAWP8/P5u/rr78f/1/UH9wfpd/In79vkY/nz6GPpW/Uj8+fz6+wr6k/iB+iwAigPQ/sb5Pfwz/fT+Qv5H/88A7wDQ/PL4J/rS/Mj++f2d/v3/t/4cAcMBGv6+AUcChQTKBHQCpAKD/1r9xv4fAWACCgE7ABsBbfxg+6T85ffS/Br9Vvvb+1z5rP1o/Rz9n/tA/Jr97fzl+xn78P2M/e//tP/A+/4AbwF4/1QBkP/HAeIBBQBJ/00CXQHe/pAAAv8e/23+eADKAiIAIP7a/on9E/5DAXABZ/4p/sj+G/yq/eYBTgCk//r/pf09/ib/Nv0aADsE4/5q+pj5RP7U/7L9vv2V/H76ivqS/Zf89Pr697/5tvr2+88AQv4K/QEA+wNgAYn/1v9u/kQCVQA/Ab8FDAM0A1QCHwBIAVMAbP7e/xQCJf7s+2n+QQD6/zT+Hfur/D4Atf5X/9X6Hvx7/2L8Z/u1+Rb7hf4c/RL8wPsS+1f/tf0R/C/85f0C/+P90f+w/ugABwFQ/KL/nQBYA3QCn/7DAZYB0wAj/wMBCQGKAegAUP5O//ABqgGc/qn7MvsZ/Wn8Z/2d/Qn8OP0j/0n9OPup/y0Ajftl/Pb9j/3/+3b7rPve/hb+EP6s/TH+RgCv/HP9JQGYAUIArf/T/lX+IP2D/wEDUgJkAU0A2P+2AAEAqv69/cf/GQL9Ak8DIAJSAdIBWQD6/JL82P68/sv/L/9o/WL6T/tP/BT76f1m/BP7wPnq+ub8BPxh+iD6CflU/Or8A/vc/UQAMf5g/TP+Df2o/g4AcQFmACAAivxM/1MBcP8dAF4BSAHqAWYCUP/qANH9bP/ZAM4A1QFxAF//JAB/ALb+i//B/3f9Tv7pAH/8CPzm/OL8C/0y/zL/1/1C/f/8pvw0/ioAgf1z/rD80PyF/Cf+cf14/cn/iP6o/sf9yv4u/b/9hP6OACYAHgAI/839BgCG/5UAI/7Z/lUASf+o/YD/WwCW/6L/If1G/QIA+P6T/EL8dvua+8z7VfsY/JL9wfrs+pj97/3m/Mb8o/ty/LX9yP0t/N79UgLhAWkCMwC5/qABxAFP/2MC0gJYAGIC5P8B/zkFqwNyAKAAcACAAS8DcQOrAesAtP9u/6T/UAAc/3X8Qv67ALX+F//E/h/+t/tr+hb8LPsP/W79Of1C/SL/gP6Q+9T8K/0W+wz8Vv2h/tT+NP7p/Sr72Puq/Z/9ZPw7/dH9o/zB/HD8Ev2g/0H/7f0p/u3+BgNRA1cB7f+1/+z/pQBMAigBKQIsAOP+SgHBABL/i/6y/u//vf5S/48AAAAq/6n9pv+e/wP9kvsi/iYAZABDAJ//dv9c/yr/bv4FAAIAqP/H/5L+Xf9zAOf/n//3/YD+NgFL/zT+j/47/1H9JfwJ+/T9rf/f/dL8TP1k/2T9T/4I/BT9vf4P/bf89/v0+zj7Ff51/jr8dP5y/YL/rwBq/ov/8gDn/nP+e/9V/dP9D//T/nH9nPwE/u8Aa/8S/vH9XP51/zH/p//QASYB7AC1AIIBBQKsAFIAcP/M/w0Anf+k/97/t/8J/+v8uv2E/t7+Tv87AFcA6f+z/4f+Yv/6AOT+bP9rAG0AOwCD/9n+FACoAGz+nf/m/af9sP8lAOEAWP8F/sD+uPy0/jP+jvyo/dT8GP7//BH8yP2q+7n6uPx1/GL8TfsD+yX96v5d/YP8N/46/tj+jgD3/nb+z/2C/tP+9v38/i4AngANAfMA6f/D/pn+tP/3/5b/of7e/jT+JwDjAZUBEwEDAND+7P6q/on+Bv4e//f/S//0/g7+vv7E/zv/of5OAPH/1QAyAG8Am/7y/TIBKAE1AGD/AwCP/6n+Gf04/hT+Ff6E/v39Df8O/qj8XfzD/WH9bPwb/qL9Tv0b/jz9k/5k/RD+R/6j/5X/OvzJ/oT+xPwQ/rD9e/0D/5X+sv7s/U79Yv48AFcAeP5J/c39+PyK/JH8Mv3a/E38Tf1n/ev9lv+LAGz+6v6rAJEAG//W/3f/7v8yAKQAYAGvAKUA0gAuAacBgwKsAIIAPwDf//b/NAFJARv/e/7h/X7+of6o/YX9TP1p/jH/SP64/Nb8nf6Y/Mv62PwY/bb7OPyz/rf+B/5L/uP8I/0Q/tf+0f5G//X+lf05/eH+T//f/UgADwB4/mr+wv2x/3EB3gBYADf/UP8MAZsACwJmAikB+QDuALIANQAJAJT/CgDg/1gAngC+/t/9h/9K/vD8e/0j/LH7Cf1l/Fr7vfpW+U/6pvtA+yP7rfwJ/i39pP1H/qn97/4//+T+af/q/3cABgJFAqj/ggBOARUAxwA0ASwBMQCtAKIAGQBS/wX/kf/s/8T+V/07/rX9Tf4y/iP9Jf0f/XH9O/1W/TX+iP2U/bT9MPyt/Ob9xf2l/YT9av0a/mH/gP/0/c3+Kv9I/h7/FgAcAZUB3QGPAUoBCwFmAKYARgLJARcBSgGsAPMADAGtABkA+v9//yT/pf9qACX/Rf6B/+X+kv7t/Yz9fv6x/cH8R/xg/bb7+vp//V38GfyQ/Nb85/yF/DP+sf6v/hj9jf1b/uT8Rf2T/dn9B/4q/m7+If+k/ej9nv2s/bH/DP9v//4ALwBdADEBNgBj/zn/E/9E/7j/Iv8P/87+pv5X/vf+Df91/0T/MP/N/vv95f6Z/kn+MP7N/u3+VP63/nr+Uv7o/nv+2/4U/xn/TwDD/wj/+v9x/+v+ZAFbAdH/nAHKAC7/ngAOAHb/EgHmAOr/ov8HACn/WP+R/8L+3P7k/if/C/5w/VL9Qf5X/mH8ifwz/UH82/3p/vL9f/2x/Vv+xv1q/R/9k/0S/Wz8S/1F/N77FP1j/Wj+I/0I+z/8SvzM/en+J/4J/63+pf7o/wQAYQC3AeABRgJsAcEBuAGJAPYAJgFfAckA8QBoAJn/hf+m/ir+yf0K/a/9qv3X/Yb+xf5t/lP9wPy3/Cf9g/3v/Qn+ov4c/83/zf8n/4P+mf5Q/60AuQBIAHoAzv8yALf/b//d/rP/rP/J/lD/qv6F/hj/CwCq/3P/O//o/gL/UP7z/hD/iP5C/gv9If0S/bv8O/ze+8v8cP1N/b/8b/yu/Nv8cf5x/nb9DP6E/RH+Kf6Z/oL/1f/g/h7/5v69/hMApf+R/rX+Wf+4/mb/VP9aAFsAfv9//9n/3gAtABwAGgBS/ykAzwAw/2f+fP9UANX/6v/L/9X/7//5/lP/mv89/7j/IP/S/QP+/f6D/nz92P1s/Yn9u/3o/Sf+gv1G/QH96f0T/kD99/3r/ef9v/3x/E79A/1O/Y392f0E/tj9Rv6v/bX9rf67/pL+0v41/9P/Zv+e/9D/uv/DAEYBwACw/8X/yP8dAM3/vv/u/wb/rP6//nz+PP4G/0n+NP2F/VH93PyG/Yf9Jv2P/M79dv6+/Tf+mP5Y/g7/x//3/hAAbQCaACIBJAFkAF3/G/9i/6n/9f+iAPH/Hv81/xH/uf7O/p3++/3E/Vb+Ov4M/of+Rv6a/cb97f3J/er9+f3D/ab9V/0z/Y/93PxK/b/92/wg/YP9vf0x/q79i/3Q/RP+RP74/Sj+gv7X/pz/nf9s/yMAsQANAUgAhP/q/hD/y/+h/1gAaABS/zP/7/5p/lz+if6p/bL9Lf7S/Zv9pPzM/Sn/gv6I/rz+6f2B/un+uP5Y/8v+gP4V/sH+8v7U/nX/EP6q/un/mAD1AP//2v+v/3f/kP/R/1UATwCDANj/HP+Y/vP+f//G/nb+VP0V/SD9lv3k/TD9i/17/u79cf2B/pf+pv6V/kD+vv0i/gL/t/4g/8j+zv7h/rL+Xf8q/7r+2P63///+hv5J/vn9hP6n/j3+hf29/Rr+wP4S/oX9Rv5i/lL+Xv4Q/mn+Rv+a/yMALABm/1v+ff6n/kn+Df+k/uj+Wv8Z/17/R/+d/rb+dP9f//r/uv8DAJz/kf9gAOcAvQDFAFkA1f+fANT/jP8w/wn/5f5x/k7+qv79/hj+Mf3P/Jv8j/xa/AD9Yf2R/Z79Jv03/Wz9b/1n/Xf9jv1N/lj+2P1V/o/+v/5j/9T+cf77/pP/k/+Q/0z/kP55/n/+vP7u/qr+1P5G/7j/U/97/0gA9QD3AG4AUQDb/8f/+//8/4r/Kf8+/13/Mv8U/yv/yv8y/yv/if8v/8P+yv7x/lz+0v4Q/nb9xv2L/YX96f29/UL+v/4k/ib+WP7w/uv+QP4x/hD+6/3G/a396/0b/oH+Kv6C/XL9jf5f/yP/vf5P/tz+Iv/c/gr/E/+6/qT+mv7w/gH/xv41/xL/6P7T/jP+jP5w/kP+gv5h/lz+PP4j/vf9jP5V/xH/U/5d/t3++P4z/z//0v5l/1X/8f7R/mj/ov+c/1j/2P6//5b/nf8pACAA5f/4/x0ADgCv/8T/Q/9x/5v/L//W/o/+mP7m/Zr+z/4O/8n+lf50/vv9J/53/br9qP2c/fT9FP2I/Ev9bf4s/lb+/P6o/o/+rv7c/sj+qP5//jD/2v7e/un+Iv+h/8P+8/4k/0H/I/9t/4b/GgBv/9P+X/9I/5v/Z/+K/6b/Ef+L/mn+HP5N/iz+uP2E/Yj9e/0t/WP93f2C/WX9gv28/Pr8bf05/jf+d/4J/6T+xv5s/ub+ff93/+D/9P9i/4D/EQDv/9D/7/+s/7f/yv/3/ykA1P9e/+P+CP/L/jH+Wf79/aX9BP7R/VT9g/1R/nr+Gv9o/0r/pP+j/7P/+P5b/kL+6v4f/8j+bv9A//v+IP9p/vH9zf3R/a79sf0r/o/9TP14/Tv9iP1s/XX9Pf11/en94/1i/nb+7/5n/+n/QQDR/87+2v55/4D/i/9y/7z/s//P/8P/Dv9z/0n/vv4Q/4f+Pf7q/pr+Tv52/j/+pv56/h3+Hf4a/gD+Of4o/i7+LP4i/kz+tf5W/3T+Iv7M/ub+nv/o/0z/bP9M/1X/sf/D/wcAuv9Q/3f/aP9L/9b+6P58/nr+Nf9b/xL/8f6S/9f/z//y/oH+Nf7p/bn9gP2T/Zz9Uv35/Fj9af3s/Ej9sv3Z/QT+xf24/eD97v3N/Qr+BP79/Uf+dv7b/v7+2/6y/vP+df9i/yv/Wv+u/4D/XP8v/9z+C/96/4L/Pv+Z/8X/wP/K/1v/x/8DAOT/iv/N/tD+fv+c/wz/af42/jf+6P2w/qz+ZP6n/o7+dv6X/oP+Tv51/qn+qv6s/m7+cv4W/+D+3f4X/+z+xP7O/hX/PP/l/rb+l/58/nn+e/6s/qz+0/7H/p/+z/6o/gX+Pv7B/ZL9Bv6u/fj9E/7C/X/98P28/YP9+v1X/r7+mP43/kz+ff5w/ob+WP5b/gf/Nf/9/jj/C/+T/wIAuf+3/0L/L/+U/1b/EP9c/1D/X/+5/xD/kv6y/k7+UP7w/bb9Hv6O/r3+Nf+R/3P/nP+3/yMA+/9P/4H/tf9h/5n/Gv/1/kX/8/77/un+gv6C/qP+av4R/hD+N/4c/hD+Bf63/Yf94f0b/iL+lP6X/jf+df5L/hv+Gf78/Vz+nf5H/mH+ev6Q/rr+Uf5u/ir/7/6I/ov+if4b/0X/yP6x/sv+2v5J/3v/YP8m/9z+Ef9J/wD/Hf8F//j+7v5R/1H/1v7d/rX+VP7y/Wz+h/5t/q7+A/+Q/pv+6v7L/iP/zv5x/sT++/6y/n3+uf7r/tL+uP57/j/+Tv5w/m7+hP6+/ij/i/+o/5z/nP91/1v/6f/K/yj/J//u/uP+rP7R/qT+bP7W/or+P/70/Yj9Yf3h/bL92v1h/gv+7v0f/uf9+/10/qD+rP7w/hr/6/4W/zH/Dv/j/ub+Cf+P/9r/jP+Z/53/bP+C/57/iP8u/xX/9P7f/h3/6P7k/vj+z/6e/l3+rv4J/zb/U/8Z/0X/AP+j/tT+yP6Z/qr+hP52/r7+gv5s/lD+Iv53/sn+if4p/u/9J/5z/r3+1f6b/tD+uf7R/tv+DP8n//f+Pf85/1T/ef8W/x7/C//I/gH/Hv/d/or+c/6D/nP+8/3Z/dD9mv19/dP9Av78/Q7+//2k/Yn9w/3Z/SL++v2X/aj91/0M/m/+o/6i/qn+/v4L/zz/tP/8/wsARgAyAB8AVABeACkAAgAJAOr/GADi/5//f/8Q/8v+zP69/qf+XP5U/lf+S/5u/oD+Av+i/oD+6v6k/s3++v6m/nf+gP51/i7++/1d/n7+m/60/rn+u/7X/sT+Vv4z/v/9Jv6H/mv+lf68/on+e/4e/jX+aP5T/iD+J/5d/hb+6P30/Qz+Lv5m/ln+Ev7p/TH+Zv4l/jb+NP4i/kH+M/5R/ub+DP/s/hr/J/8J/xb/a/9v/2z/gv9D/0n/jP9z/0z/Ff8o/z//Jv8T/+z+KP8P/7H+oP7D/u/+1P78/tT+r/4a//7+Bv8U/yX/Df/q/gv/8P4C/xf/AP/7/i3//P6t/qD+df53/n3+Xf56/nv+Gf7D/cj97v3d/RD+bf6Z/rn+Sf4u/pT+xP7K/pT+tP7y/vX+7f4G/wr/+v7s/qr+g/56/mz+ZP5j/jr+cP5Y/jf+Uf65/dv9Cv7u/RH+H/5M/ln+R/46/mD+Lv45/lf+R/6+/uj+G/9K/4H/rv+d/57/jP92/67/7f+g/2P/UP84/2T/XP9w/3b/Kv8n/1v/Pf8O/z7/Av/t/v/+Df/L/sL+x/6T/of+MP7z/cD97v0M/vr98f3H/Zv9kP3a/Q3+Lv5q/nL+af5y/nz+Yf6D/on+nf63/rX+5f7w/gf/Cf8f/zn/av9H/zP/Ff/W/sb+pv7c/kv/IP/S/tb+/v4Y/37+Vf6s/uT+4f6c/rD+1v6R/nz+VP5B/kj+cP6v/oX+cv5p/mz+gP5f/pT+8f7P/qf+of7d/t3+Bv9S/xT/EP8Y/+7+9f4X/zH/J/9S/y3/4f7g/pv+hP6+/tb+sP7K/vH+5v75/tr+n/5z/mr+P/5V/qf+mv50/mr+Pv4d/hn+C/7y/eL9Gf4u/lv+fP7b/gP/9v4G//D+8v4h/0v/aP+Y/6z/4P+i/1D/Sf9z/4n/iP9h/2j/fP8y//D+kf6N/qv+xP7V/pb+S/4z/jT+O/5o/hr+B/58/pb+nP6i/or+eP5E/h/+SP6J/uP+6/75/vn+8v4b//r+6f7o/sL+0v4Y/xv/+P7s/kH/Wf8n/wn/5f4S/2j/hP+Q/0L/6v7w/rv+lv5l/lD+ZP5v/nL+Of4t/q3+wf52/pH+p/6C/mH+j/7B/s7+7v4K/6z+cf5c/nv+lP6h/rn+9P73/n3+lv6A/mH+RP49/kD+Tv46/iT+ZP5L/ib+EP73/eX9EP5J/ob+2/7u/tD+8P5E/3X/e/+S/7j/uP+m/5X/i/+v/67/oP+C/1n/Jf8f/2L/Cf+z/uD+3P6p/qv+af5o/n/+fv5n/ij+PP5i/sX+1f6A/oD+rf6F/nP+oP6s/sf+Ff8W/xH/Dv8a/wD/i/6f/qv+lP5G/gb+Of46/g/+7P33/Q7+Tv59/mv+Zf5Q/lj+g/5t/nD+gv6i/vz+Af/e/sr++v4L//X+Gf8Y/x//Rf8s/yH/Df/b/oz+f/69/pj+i/6E/qP+1f7Z/tv+wf6d/qH+tP6r/tD+5P4F/xb/6/7m/r7+k/6r/tH+wf7I/vH+9v4O/z7/N/8I/+P+uf6A/oP+hP5V/nT+S/76/Qv+Sf5I/nb+vv6w/rv+iP5//pD+qP6e/o7+wP6L/oX+0P7X/sz+/f4O/wX/Gf/l/rn+Cf/4/uD+3P7F/sr+xv6x/o3+s/6T/mv+bv5j/kT+I/4E/vz9Cf5K/mD+SP5X/hf+6/0u/of+g/7F/vr+2v7u/uz+/v4K/yr/O/8I/yH/XP91/2z/Lf8T/xz/Bv8U/yL/LP9M/0T/IP8K/+n+6v7a/o3+cP5c/nP+lP6S/rP+sP5Z/jr+Pv5b/nb+Uv5k/oj+pv6x/rP+l/6i/tP+2f7J/qD+uv7p/vz+7f7U/pn+hv5+/mv+pf5u/jz+Ov4k/jL+SP5r/oz+QP4K/gP+Mv5j/j3+RP5f/lT+Qf5p/nr+e/5u/nf+f/5+/rr+yv7H/hj/QP9T/2T/bf9n/5P/m/+H/6//q//C/53/df9p/1b/a/9x/zf/Mv8S//T+7P6r/p7+mf6T/rn+k/4y/iL+Sv47/g/+E/5D/oz+kf5e/kD+WP6b/or+cf6o/oD+P/5A/nX+X/5R/nz+kf7G/un+4f7c/v3+6v4b/0P/Hf/0/uz+D/8M/zb/bf9k/0T/B//P/qn+fv5g/lj+bv57/nf+af5W/kX+R/5o/mL+Lf7w/fX9OP5n/qX+pv6l/qD+eP6U/qb+n/65/s/+4/77/tb+x/6//r3+3P7//gb/7P4O/xT/4P7l/uT+zf7W/t/+Hv86/0X/hf+u/6r/n/+a/3r/af9g/2f/hf+E/0b/9f6y/mT+Pv5l/ob+gf5v/mj+P/4t/gL+7/0R/gD+Cf78/Qr+Pv42/jz+Z/5s/mD+Pv4m/mD+if6O/rr+5/74/uL+0f7r/gr/Ev8m/zb/If8j/xr/8P7r/vL+4/7R/sP+pP6N/nr+WP5b/oX+i/5//oT+d/5G/jL+b/6l/sT+r/6W/rj+qv52/qH+4v7a/vP+Hv82/zT/N/9a/2T/dv+B/2z/Tv89/z7/Yf+d/5r/nv9q/z7/ZP9N/yL/EP8D//H+2/7C/qv+U/4+/nD+Xf5F/h7+8v3c/dX94f39/ez9zP25/Y79lf26/Qr+WP4p/gD+Fv4w/mT+nv65/r3+wv7g/gj/BP8a/zr/IP8Z/x///P4M/x7/+/4D/+v+2f7X/sH+o/6k/oD+hf65/rX+vf7B/sv+xf7C/ub+D/8I//n+B/9H/2n/Zf9f/2z/j/+g/5z/ev9+/33/Sf8m/xL/Ef8e/w7/6f73/hb//P7Q/rn+tP6E/lD+J/4A/u/99P3I/bX91/3T/ez99/0M/jb+QP46/kT+R/4d/jL+bv6P/qD+vf7P/qP+qf7P/u7+Cv/3/t/+tv6L/qX+qf6s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type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "IPython.display.Audio(x, rate=fs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## `librosa.feature.mfcc`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "[`librosa.feature.mfcc`](http://bmcfee.github.io/librosa/generated/librosa.feature.mfcc.html#librosa.feature.mfcc) computes MFCCs across an audio signal:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(20, 130)\n"
     ]
    }
   ],
   "source": [
    "mfccs = librosa.feature.mfcc(x, sr=fs)\n",
    "print mfccs.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "In this case, `mfcc` computed 20 MFCCs over 130 frames."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "The very first MFCC, the 0th coefficient, does not convey information relevant to the overall shape of the spectrum. It only conveys a constant offset, i.e. adding a constant value to the entire spectrum. Therefore, many practitioners will discard the first MFCC when performing classification. For now, we will use the MFCCs as is."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "Display the MFCCs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x106318c50>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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zL4lfjtP7LEjWMttj2Z7M1j6dh57G+xd69e87D9kZNCnZPHTj8n2Xn9GjXU9GRMRww1yx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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10af3c090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "librosa.display.specshow(mfccs, sr=fs, x_axis='time')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Feature Scaling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "source": [
    "Let's scale the MFCCs such that each coefficient dimension has zero mean and unit variance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ -4.64585635e-16  -1.63971401e-16  -1.09314267e-16  -1.09314267e-16\n",
      "   0.00000000e+00   1.09314267e-16   0.00000000e+00  -1.09314267e-16\n",
      "  -1.09314267e-16  -2.73285668e-17   1.09314267e-16  -8.19857003e-17\n",
      "   5.46571335e-17   0.00000000e+00   2.73285668e-17  -4.09928501e-17\n",
      "   1.09314267e-16   8.19857003e-17   9.56499837e-17   6.83214169e-17]\n",
      "[ 1.  1.  1.  1.  1.  1.  1.  1.  1.  1.  1.  1.  1.  1.  1.  1.  1.  1.\n",
      "  1.  1.]\n"
     ]
    }
   ],
   "source": [
    "mfccs = sklearn.preprocessing.scale(mfccs, axis=1)\n",
    "print mfccs.mean(axis=1)\n",
    "print mfccs.var(axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "Display the scaled MFCCs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1108b8890>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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M5275ob7u0B4ZB+WqPr/d1P1p6PHPOfYy1/l/u/xGmT/yyKE1cOvrzD7zyOvN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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10828b9d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "librosa.display.specshow(mfccs, sr=fs, x_axis='time')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## `essentia.standard.MFCC`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "We can also use [`essentia.standard.MFCC`](http://essentia.upf.edu/documentation/reference/std_MFCC.html) to compute MFCCs across a signal, and we will display them as a \"MFCC-gram\":"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(134, 13)\n"
     ]
    }
   ],
   "source": [
    "hamming_window = ess.Windowing(type='hamming')\n",
    "spectrum = ess.Spectrum()  # we just want the magnitude spectrum\n",
    "mfcc = ess.MFCC(numberCoefficients=13)\n",
    "frame_sz = 1024\n",
    "hop_sz = 500\n",
    "\n",
    "mfccs = numpy.array([mfcc(spectrum(hamming_window(frame)))[1]\n",
    "               for frame in ess.FrameGenerator(x, frameSize=frame_sz, hopSize=hop_sz)])\n",
    "print mfccs.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "Scale the MFCCs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python2.7/site-packages/sklearn/preprocessing/data.py:153: UserWarning: Numerical issues were encountered when centering the data and might not be solved. Dataset may contain too large values. You may need to prescale your features.\n",
      "  warnings.warn(\"Numerical issues were encountered \"\n",
      "/usr/local/lib/python2.7/site-packages/sklearn/preprocessing/data.py:169: UserWarning: Numerical issues were encountered when scaling the data and might not be solved. The standard deviation of the data is probably very close to 0. \n",
      "  warnings.warn(\"Numerical issues were encountered \"\n"
     ]
    }
   ],
   "source": [
    "mfccs = sklearn.preprocessing.scale(mfccs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "Plot the MFCCs:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1108cde10>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HXr16mbm3z4i1rLq38e2OHTvM3FtS3dvzxOunTZs2jcqsPUOOdmxvz6cf/OAH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\nJjsAAAAA4hKTHQAAAABxKaa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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1108cd1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(mfccs.T, origin='lower', aspect='auto', interpolation='nearest')\n",
    "plt.ylabel('MFCC Coefficient Index')\n",
    "plt.xlabel('Frame Index')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "[&larr; Back to Index](index.html)"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}