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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Exploring Karplus-Strong Filters"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "####Plucked String Synthesis\n",
      "An example inspired by a talk given by [Jim Rulla](http://www.eastknow.org/2014/03/meeting-2-recap.html)."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "-----------"
     ]
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "Imports"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# We needs some imports and also enable our inline plots\n",
      "import matplotlib.pyplot as plt\n",
      "import random\n",
      "import wave\n",
      "import StringIO\n",
      "from IPython.core.display import HTML\n",
      "import numpy\n",
      "\n",
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "Settings"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Change these parameters to alter the sound\n",
      "\n",
      "# Amplitude should be between 0.0 and 1.0\n",
      "g_synth_amplitude = 1.0\n",
      "\n",
      "# Desired frequency in Hz\n",
      "g_synth_frequency_hz = 440\n",
      "\n",
      "# Desired wave file duration in seconds\n",
      "g_wav_duration_s = 4\n",
      "\n",
      "# Specify the sample rate of the output wave file\n",
      "g_wav_sample_rate = 44100\n",
      "\n",
      "# Specify file name for wave file\n",
      "#g_wav_filename = \"karplus-strong-synth-%d.wav\" % int(g_synth_frequency_hz)\n",
      "g_wav_filename = \"karplus-strong-synth.wav\"\n",
      "\n",
      "# Default fig sizes and dpi settings\n",
      "g_figsize = (4,4)\n",
      "g_dpi = 100\n",
      "\n",
      "#***\n",
      "# Calculated globals\n",
      "# You shouldn't need to alter these as they are based on the\n",
      "# settings you choose above.\n",
      "#***\n",
      "g_synth_period_s = 1.0 / g_synth_frequency_hz\n",
      "g_synth_period_samples = int(g_synth_period_s * g_wav_sample_rate + 0.5)\n",
      "g_synth_duration_samples = int(g_wav_duration_s * g_wav_sample_rate)\n",
      "print \"Synth period: %f sec.\" % g_synth_period_s\n",
      "print \"\\tor %d samples.\" % g_synth_period_samples\n",
      "print \"Wav duration: %f sec.\" % g_wav_duration_s\n",
      "print \"\\tor %d samples.\" % g_synth_duration_samples"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Synth period: 0.002273 sec.\n",
        "\tor 100 samples.\n",
        "Wav duration: 4.000000 sec.\n",
        "\tor 176400 samples.\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "Functions"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Generate a list of random samples\n",
      "def gen_random_samples(amplitude, num_samples):\n",
      "    A = int(amplitude * 32767.0 + 0.5)\n",
      "    samples = [0] * num_samples\n",
      "    for n in range(0, len(samples)):\n",
      "        samples[n] = int(-A if random.random() > .5 else A)\n",
      "    return samples"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# String filter\n",
      "def make_string_sound(impulse, duration_samples):\n",
      "    p = len(impulse)\n",
      "    output = []\n",
      "    output.extend(impulse)\n",
      "    output.extend([int(0)] * (duration_samples - p))\n",
      "\n",
      "    for i in range(p, len(output)):\n",
      "        output[i] = int(((output[i - p] + output[i - p + 1]) / 2.0) + 0.5)\n",
      "        \n",
      "    return output"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Drum filter\n",
      "def make_drum_sound(impulse, duration_samples, blend_factor):\n",
      "    \"\"\"blend_factor should be between 1 and 0. \n",
      "    A blend_factor of 1 produces the same result as the \n",
      "    make_string_sound()\"\"\"\n",
      "    p = len(impulse)\n",
      "    output = []\n",
      "    output.extend(impulse)\n",
      "    output.extend([int(0)] * (duration_samples - p))\n",
      "    \n",
      "    for i in range(p, len(output)):\n",
      "        factor = 2.0 if random.random() <= blend_factor else -2.0\n",
      "        output[i] = int(((output[i - p] + output[i - p + 1])/ factor) + 0.5)\n",
      "    \n",
      "    return output"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Generate data suitable to writing to wave file\n",
      "def sound_to_bytes(sound):\n",
      "    \"\"\"Takes a list containing sound samples and converts to a buffer of bytes\"\"\"\n",
      "    output = StringIO.StringIO()\n",
      "    for sample in sound:\n",
      "        output.write(chr(sample & 0xFF))\n",
      "        output.write(chr((sample >> 8) & 0xFF))\n",
      "    return output.getvalue()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "Generate an Impulse"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Seed our random number generator\n",
      "random.seed()\n",
      "\n",
      "# Generate our impulse\n",
      "impulse = gen_random_samples(g_synth_amplitude, g_synth_period_samples)\n",
      "\n",
      "# Show our random impulse\n",
      "plt.figure(figsize=g_figsize)\n",
      "plt.plot(range(0, len(impulse)), impulse)\n",
      "plt.title(\"Initial Impulse\")\n",
      "plt.grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
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IlCOyt236KY88IPEexeEBRZn+6dohylHpWS0PqGENkGnaYQPdzc0qBiTqGmd6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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x41544d0>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "Feed Through the Filter"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Synthesize through filter\n",
      "sound = make_string_sound(impulse, g_synth_duration_samples)\n",
      "#sound = make_drum_sound(impulse, g_synth_duration_samples, 1)\n",
      "\n",
      "# Show our sound\n",
      "plt.figure(figsize=g_figsize)\n",
      "plt.plot(range(0, len(sound)), sound)\n",
      "plt.title(\"Synthsized signal @ %dHz\" % g_synth_frequency_hz)\n",
      "plt.grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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gKd2nuvmpWNKHICxcAHwB+7/1gyhmPf4C8LIruxa42pUPBb4DjHfTXCwjTUUG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\nBkoAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x43311d0>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Show a zoomed view\n",
      "start = 20000 #2 * g_synth_period_samples\n",
      "end = start + 400\n",
      "plt.figure(figsize=g_figsize)\n",
      "plt.plot(range(start, end), sound[start:end])\n",
      "plt.title(\"Zoomed View\")\n",
      "plt.grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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E5mSv4LW1tXTokPRv1y45v19dAyf+eS07+zpbtbW1KaL4kiUyAOAXfmtO6Xpg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\nGhX8f/n30AnzEs+aAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x552d050>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "FFT"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Look at an FFT of only the synthesized portion\n",
      "p = 2 * len(impulse)\n",
      "fft = [abs(f) for f in numpy.fft.rfft(sound[p:p + g_wav_sample_rate], g_wav_sample_rate)]\n",
      "fft[0] = 0 # Ignore DC\n",
      "freqs = [((g_wav_sample_rate / 2.0) / len(fft)) * n for n in range(0, len(fft))]\n",
      "\n",
      "# Entire FFT\n",
      "fig, axes = plt.subplots(figsize=g_figsize, dpi=g_dpi)\n",
      "axes.plot(freqs, fft)\n",
      "axes.set_title(\"FFT Magnitudes\")\n",
      "axes.set_xlabel(\"Hz\")\n",
      "axes.grid()\n",
      "\n",
      "# First part of FFT\n",
      "fig, axes = plt.subplots(figsize=g_figsize, dpi=g_dpi)\n",
      "axes.plot(freqs[0:1000], fft[0:1000])\n",
      "axes.set_title(\"FFT Magnitudes\")\n",
      "axes.set_xlabel(\"Hz\")\n",
      "axes.grid()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x435a250>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Et/G1b3lBmVUwRCQ2DUkaiG/j67h5Xdo13LdlDH5mTooKhojEpoJRgm/j67h5XRo3+7aM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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x40a3dd0>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "Save and Play Sound"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Wave files are easy to make, so let's do that!\n",
      "wf = wave.open(g_wav_filename, \"w\")\n",
      "wf.setnchannels(1)\n",
      "wf.setsampwidth(2)\n",
      "wf.setframerate(g_wav_sample_rate)\n",
      "wf.writeframes(sound_to_bytes(sound))\n",
      "wf.close()\n",
      "\n",
      "# Generate some HTML to wrap up the audio file!\n",
      "# Should even show up in exported HTML\n",
      "wav = open(g_wav_filename, \"rb\").read()\n",
      "wav_encoded = wav.encode(\"base64\")\n",
      "audio_tag = \"\"\"\n",
      "        <audio controls=\"controls\" style=\"width:600px\" >\n",
      "          <source src=\"data:audio/wav;base64,{0}\" type=\"audio/wav\"/>\n",
      "          Your browser does not support the audio element.\n",
      "        </audio>\n",
      "        \"\"\".format(wav_encoded)\n",
      "HTML(audio_tag)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "        <audio controls=\"controls\" style=\"width:600px\" >\n",
        "          <source src=\"data:audio/wav;base64,UklGRkRiBQBXQVZFZm10IBAAAAABAAEARKwAAIhYAQACABAAZGF0YSBiBQABgAGAAYD/fwGA/3//\n",
        "f/9//3//fwGAAYD/fwGAAYD/f/9//3//fwGAAYABgP9/AYD/fwGAAYABgAGAAYD/fwGAAYD/fwGA\n",
        "/38BgAGAAYABgAGAAYABgP9//3//fwGA/3//fwGAAYD/f/9//38BgP9/AYD/fwGAAYABgAGAAYAB\n",
        "gP9//3//f/9//3//fwGA/38BgAGA/3//fwGA/38BgP9/AYABgP9//38BgP9/AYABgP9//3//f/9/\n",
        "AYD/f/9/AYD/f/9//38BgAKAAoAAAAAAAAD/f/9//3//fwAAAoAAAAAAAoAAAP9//3//fwAAAoAC\n",
        "gAAAAAAAAAAAAoACgAKAAoAAAAAAAoAAAAAAAAAAAAKAAoACgAKAAoACgAAA/3//fwAAAAD/fwAA\n",
        "AoAAAP9//38AAAAAAAAAAAAAAoACgAKAAoACgAAA/3//f/9//3//fwAAAAAAAAKAAAD/fwAAAAAA\n",
        "AAAAAAACgAAA/38AAAAAAAACgAAA/3//f/9/AAAAAP9/AAAAAP9//38AAAKAA4ACwAAAAAAAQP9/\n",
        "/3//fwBAAsACwAAAAsACwABA/3//fwBAAsADgALAAAAAAAAAAsADgAOAA4ACwAAAAsACwAAAAAAA\n",
        "AALAA4ADgAOAA4ADgALAAED/fwBAAAAAQABAAsACwABA/38AQAAAAAAAAAAAAsADgAOAA4ADgALA\n",
        "AED/f/9//3//fwBAAAAAAALAAsAAQABAAAAAAAAAAAACwALAAEAAQAAAAAACwALAAED/f/9/AEAA\n",
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      "----------------"
     ]
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     "source": [
      "Resources"
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     "metadata": {},
     "source": [
      "* [Wikipedia](http://en.wikipedia.org/wiki/Karplus-Strong)\n",
      "* *Digital Synthesis of Plucked-String and Drum Timbres*\n",
      "  * Authors: Kevin Karplus and Alex Strong\n",
      "  * Source: Computer Music Journal, Vol. 7, No. 2 (Summer, 1983), pp. 43-55\n",
      "  * Publisher: MIT Press\n",
      "  * [JSTOR](http://www.jstor.org/stable/3680062)\n",
      "  * [Other Copy](http://users.soe.ucsc.edu/~karplus/papers/digitar.pdf)\n",
      "* [Inspiration for playing sound through IPython](http://nbviewer.ipython.org/gist/Carreau/5507501/the%20sound%20of%20hydrogen.ipynb)\n",
      "* [Inspiration for using base64 encoding to avoid browser cache](http://nbviewer.ipython.org/github/jrjohansson/scientific-python-lectures/blob/master/Lecture-4-Matplotlib.ipynb)"
     ]
    },
    {
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     "metadata": {},
     "source": [
      "------------"
     ]
    },
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     "metadata": {},
     "source": [
      "Copyright Notice"
     ]
    },
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     "metadata": {},
     "source": [
      "<html>\n",
      "<p xmlns:dct=\"http://purl.org/dc/terms/\" xmlns:vcard=\"http://www.w3.org/2001/vcard-rdf/3.0#\">\n",
      "  <a rel=\"license\"\n",
      "     href=\"http://creativecommons.org/publicdomain/zero/1.0/\">\n",
      "    <img src=\"CC0-88x31.png\" style=\"border-style: none;\" alt=\"CC0\" />\n",
      "  </a>\n",
      "  <br />\n",
      "  To the extent possible under law,\n",
      "  <a rel=\"dct:publisher\"\n",
      "     href=\"http://charles.stanho.pe\">\n",
      "    <span property=\"dct:title\">Charles Stanhope</span></a>\n",
      "  has waived all copyright and related or neighboring rights to\n",
      "  <i><span property=\"dct:title\">Karplus-Strong String Synthesis</span></i>.\n",
      "This work is published from:\n",
      "<span property=\"vcard:Country\" datatype=\"dct:ISO3166\"\n",
      "      content=\"US\" about=\"http://charles.stanho.pe\">\n",
      "  United States</span>.\n",
      "</p>\n",
      "</html>"
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