Tutorial.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# `pretty_midi` tutorial\n",
    "\n",
    "This tutorial goes over the functionality of [pretty_midi](http://github.com/craffel/pretty_midi), a Python library for creating, manipulating, and extracting information from MIDI files.  For more information, check [the docs](http://craffel.github.io/pretty-midi/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# For Python2.6 compatibility\n",
    "from __future__ import print_function\n",
    "\n",
    "import pretty_midi\n",
    "import numpy as np\n",
    "# For plotting\n",
    "import mir_eval.display\n",
    "import librosa.display\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "# For putting audio in the notebook\n",
    "import IPython.display\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Building a MIDI file from scratch\n",
    "\n",
    "To start, we'll build a MIDI sequence from the ground up.  More specifically, we'll build up a MIDI \"object\" using `pretty_midi`'s representation of MIDI (which we can optionally write out to a MIDI file later on).  This representation is actually a little different than standard MIDI files (it's intended to be less ambiguous and a little easier to work with), but the two are mostly interchangeable.  Relevant differences will be pointed out as we go.\n",
    "\n",
    "### The `PrettyMIDI` class\n",
    "\n",
    "The `PrettyMIDI` class is the main container in `pretty_midi`.  It stores not only all of the events that constitute the piece, but also all of the timing information, meta-events (like key signature changes), and utility functions for manipulating, writing out, and inferring information about the MIDI data it contains."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Construct a PrettyMIDI object.\n",
    "# We'll specify that it will have a tempo of 80bpm.\n",
    "pm = pretty_midi.PrettyMIDI(initial_tempo=80)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The `Instrument` class\n",
    "\n",
    "One of the most important functions of the `PrettyMIDI` class is to hold a `list` of `Instrument` class instances.  Each `Instrument` is able to store different events (for example, notes) which are meant to be played on a given general MIDI instrument (for example, instrument 42, \"Cello\").  The `Instrument` class also has functions for extracting useful information based solely on the events that occur on that particular instrument."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[]\n"
     ]
    }
   ],
   "source": [
    "# The instruments list from our PrettyMIDI instance starts empty\n",
    "print(pm.instruments)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's add a Cello instrument, which has program number 42.\n",
    "# pretty_midi also keeps track of whether each instrument is a \"drum\" instrument or not\n",
    "# because drum/non-drum instruments share program numbers in MIDI.\n",
    "# You can also optionally give the instrument a name,\n",
    "# which corresponds to the MIDI \"instrument name\" meta-event.\n",
    "inst = pretty_midi.Instrument(program=42, is_drum=False, name='my cello')\n",
    "pm.instruments.append(inst)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Event containers\n",
    "\n",
    "`pretty_midi` has individual classes for holding MIDI events: `Note`, `PitchBend`, and `ControlChange`.  These classes store information analogous to their corresponding MIDI events.  The `Instrument` class has separate `list`s for each of these event types.\n",
    "\n",
    "#### Note\n",
    "\n",
    "The `Note` class represents a MIDI note, which has a pitch, a start time, and and end time.  Notes have a pitch number from 0 to 127, representing the notes from C-1 to G9.  In addition, notes have a velocity (volume) from 1 to 127, from quietest to loudest.  The way `pretty_midi` stores notes is slightly different from standard MIDI, in the sense that in MIDI the note-on and note-off events are separate and their correspondences must be guessed from the MIDI stream.  `pretty_midi` keeps the start and end times of a note coupled together, so things are less ambiguous.  Furthermore, `pretty_midi` stores all times in terms of actual wall clock time from the start of the MIDI sequence, rather than in \"ticks\" (discussed further below).  This is much easier to work with!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Note(start=0.200000, end=1.100000, pitch=60, velocity=100), Note(start=0.600000, end=1.700000, pitch=62, velocity=100), Note(start=1.000000, end=2.300000, pitch=64, velocity=100)]\n"
     ]
    }
   ],
   "source": [
    "# Let's add a few notes to our instrument\n",
    "velocity = 100\n",
    "for pitch, start, end in zip([60, 62, 64], [0.2, 0.6, 1.0], [1.1, 1.7, 2.3]):\n",
    "    inst.notes.append(pretty_midi.Note(velocity, pitch, start, end))\n",
    "print(inst.notes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Pitch bends\n",
    "\n",
    "Since MIDI notes are all defined to have a specific integer pitch value, in order to represent arbitrary pitch frequencies we need to use pitch bends.  A `PitchBend` class in `pretty_midi` holds a time (in seconds) and a pitch offset.  The pitch offset is an integer in the range [-8192, 8191], which in General MIDI spans the range from -2 to +2 semitones.  As with `Note`s, the `Instrument` class has a `list` for `PitchBend` class instances."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We'll just do a 1-semitone pitch ramp up\n",
    "n_steps = 512\n",
    "bend_range = 8192//2\n",
    "for time, pitch in zip(np.linspace(1.5, 2.3, n_steps),\n",
    "                       range(0, bend_range, bend_range//n_steps)):\n",
    "    inst.pitch_bends.append(pretty_midi.PitchBend(pitch, time))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Control changes\n",
    "\n",
    "The `Instrument` class also holds control changes.  Control changes include things like modulation, reverb, etc.,  which may or may not be supported by a given General MIDI synthesizer.  As usual, they are stored in an `Instrument`'s `control_changes` `list`.  We won't be covering them here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Putting it all together\n",
    "\n",
    "To give you a taste of what sorts of analysis you can do (which we'll cover in more detail in the next section), here are some examples using the (simple) MIDI sequence we just constructed.\n",
    "\n",
    "#### Plotting a piano roll\n",
    "\n",
    "A great way to visualize MIDI data is via a piano roll, which is a time-frequency matrix where each row is a different MIDI pitch and each column is a different slice in time.  `pretty_midi` can produce piano roll matrices for each indivual instrument (via `Instrument.get_piano_roll`) or the entire `PrettyMIDI` object (summed across instruments, via `PrettyMIDI.get_piano_roll`).  The spacing in time between subsequent columns of the matrix is determined by the `fs` parameter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
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bjqo6K8kZwAHAFcD7quqMoSFnA1dV1X2WqZUkadd0/WG8I4ANwGFtC0CS/YAzgA/Nd3BVXV1VbxpphJIkTbBRz+hvA06f2ZnkJODPgGcAJwP7AI8keUlVnQg8DzgIuKOdze+Z5I6qOmjE8UqS1CsjrV7XfhjvO8DHquqjbd9hwC8D3wKuraoXJvkG8KqqemiO82yqqr3muc5YVq+b2v71rkOQdtmqlS/rOgRJcxqT6nXV/BXxKuCl7dfrbgP+K/DPNLP2DUnWAKvnSvKSJGnXjXwaXFX3Aq+ZY/d32/a4Bc4x52xekiTNresP40mSpBEy0UuS1GMmekmSesxEL0lSj5noJUnqMRO9JEk91lmin698bZK9k9yT5JKu4pMkqQ86WU5uqHztJ6vqtW3fc2nK1/4AuJAZJWslSdLO62rd2FnL1wIkOZIm4X8VWNTyfpIkaXZd3bqftXxtkhXAxcA5Sx6RJEk9NG6VYH4X+HJV3TNXDfqBJG8CLFErSdI8ukr0s5avBY4Bjk3yu8BewJq2ct35Mwe21fAGFfFGV4JPkqQJNtIytXNedJ7ytVX1zXb79cBRVXX2Is43lmVqJUkajTEpUzuXBcrXSpKk3aSTGf3u5oxekrS8jPmMXpIkLQ0TvSRJPWailySpx0z0kiT1mIlekqQeM9FLktRjJnpJknqs00SfZHuSm5NsSHJTkl9r+5/ebt+c5LYkb+4yTkmSJlWnC+a069jv1f7+cuAPqur4JGva2LYk2Qu4Ffi1qrp3jvO4YI4kaRlZ/II545Qd9wb+L0BVbR3qX4uPGCRJ2iVdJ/p1SW4G9gCeCrx4sCPJ/sCXgIOAc2ebzSc5BThliWKVJGnijNOt+2OAy4BDaiioJPsBnwdOqar75ziPt+4lScvIBK51X1XfBp4E7DOj/16aZ/THdhGXJEmTbGwSfZKDgZXAg0melmRd2/8E4EXA97uMT5KkSdT1/e7BM3qAAL9VVduTPBu4uLklT4D3VdXGzqKUJGlCWY9ekqSJM4HP6CVJ0u5nopckqcdM9JIk9ZiJXpKkHjPRS5LUYyZ6SZJ6bOSJPslpSapdEGfmvs8meUaStyU5c6j/Y23p2luSXNFWsJMkSTtpKWb0ZwLXte1M66vqLuB44Nqh/rdX1XOr6jDgH4GzRx+mJEn9M9JE387EXwS8AXjtUP+nk9wOHNyujPfrwJeSvBGgqh5qxwVYB0z+qj6SJHVg1MvJvRL4alX9IMmDSY6sqhur6qwkZwAHAFfQLHF7xvCBST4OnATcDrxzxHFKktRLo751fyZwefv75Uy/fX8EsAE4rG2nqarfBvYDvgf85mwnT3JKko/uzoAlSeqTka11n+SJwD3AT2huva9s27cAfwo8g+b5+z7AI8A/VtWJs5znOOBdVXXyPNdyrXtJ0jIyHmvdnw58qqqeXlXrq2p/4C7gYeBI4NaqOhS4DXjeIMmncdDgd+BU4P+MME5JknprlNPgM4H3zOj7XNv/U2BDkjXA6sGH71oBPplk7/b3DTR3ASRJ0k6yTK0kSRNnPG7dS5KkjpnoJUnqMRO9JEk9ZqKXJKnHTPSSJPWYiV6SpB4z0UuS1GNjkehn1qxP8vQkNyW5OcltSd7cdYySJE2isUj0/GLN+vuAY6rqcOAFwPlJ9usqOEmSJlXniX62mvVVtbWqtrRD1jIGcUqSNInGIYE+WrMeeDDJkQBJ9k9yC/Aj4D1Vde/MAy1TK0nS/MYh0c9as76qflRVhwEHAb+V5MkzD6yqq6vqTUsWqSRJE6bTSjBtzfoXA4c2hWmamvVJzq222k5V3ZvkVuBY4IruopUkafJ0PaOfq2b9sUnWASR5As0z/O93GKckSROp69quc9Ws/ytgWzvLD/C+qtq41MFJkjTprEcvSdLEsR69JEnCRC9JUq+Z6CVJ6jETvSRJPWailySpx0z0kiT12EgTfZInJ/lMkjuT3Jjk20leNWPMNUn2SPLBJMcM9X81yYa2TO2lSVaOMlZJkvpoZIk+SYDPA9dW1TOr6kia6nRPGxqzDthRVZuB5wPfHTrFa6rqucAhwD7AGaOKVZKkvhrljP7FwNaqunTQUVV3V9WHoJnJAxuBQ5JsBA4FbkhyUjv2ofawVcAaYPJX9pEkaYmNcjm55wA3zbWzqk5Mci5wJ/AAcHJVnTs8JsnfAkcDX8GCNpIk7bQl+zBekg+3z9xvGOo+AtgAHNa201TVy4GnAmtp7hDMPKf16CVJmsfI1rpP8hLg3VV1/FDfk2iew18EnE1Ta/4O4ADgfuCmqjprlnP9B+Doqjp7jmu51r0kaRlZ/Fr3o0z0Ab4DfKKqPtL2HUDz4bz1SfYFLquqU5NcX1VHDx27F/C4qrovySrg08A3q+qSOa71MJax7dqTaB7BqFu+D93zPRgPfX8fnl5V+yxm4MimwVVVSU4DPpDkXcBPgEeA89ohxwHXJdkfuHvG4b8EXJVkLc3jhWuAS5nb9xf7l41GI8l3fQ+65/vQPd+D8eD78HMjvd9dVffRfKVutn3DH647Y8a++2m+bidJkh4DV8aTJKnH+pLo/eR993wPxoPvQ/d8D8aD70NrZB/GkyRJ3evLjF6SJM1iohN9kn+X5PtJ7khyftfxLAcLveZJXp/kJ0lubn/e2EWcy02Sv07y4yS3dh3LcrHQa57khCT/b+i/hXcvdYzLTZL920Jpt7cF0d7adUzjYGJv3bfV7H4AvAy4B7gBOLOqbu80sB5bzGue5PXAUXMtbqTRSHIcsAn4m6o6pOt4loOFXvMkJwDnVNXJSx3bcpXkqcBTq+qmJI8DbgROW+55YZJn9EcDd1TVnVW1FbgceGXHMfWdr/mYqqprgX/pOo7lxNd8/FTVfVV1U/v7w8D3gF/tNqruTXKi/1XgR0Pb9+AbOmqLfc1/I8ktSa5oF0SSlqtj2hofX0nynK6DWU6SrAeeB/zvbiPp3iQneo2nq4H1VXUY8HXgkx3HI3XlJpplSp8LfAj4fMfxLBvtMuqfA942VPJ82ZrkRP9PwPBs8Wltn0Znwde8qh6sqi3t5mXAkUsUmzRWquqhqtrU/v5lYHVb2EsjlGQ1TZL/dFX9z67jGQeTnOhvAP5VkmckWUOz1O5VHcfUdwu+5u2HYQZOpXlGJi07SZ7SFvciydE0/799sNuo+q19vT8GfK+q3t91PONiYmu7VtVUkrOBvwVWAn9dVbd1HFavzfWaJ/kvwHer6irg95KcCkzRfFDp9Z0FvIwk+SxwAvCkJPcAf1xVH+s2qn6b7TUHVgNU1aXA6cBbkkwBPwNeW5P6NafJ8ULg3wMbk9zc9v1Be0dl2ZrYr9dJkqSFTfKte0mStAATvSRJPWailySpx0z0kiT1mIlekqQem9iv10na/ZL8CvCNdvMpwHbgJ+32T6vq1zoJTNIu8+t1kmaV5AJgU1W9r+tYJO06b91LWpQkm9r2hCR/n+QLSe5M8t+SnJXk+iQbkxzYjtsnyeeS3ND+vLDbf4G0PJnoJe2K5wJvBp5NsxLZs6rqaJr6Bv+5HfMXwAeq6vnAb7T7JC0xn9FL2hU3VNV9AEn+Afha278ROLH9/aXAv2mXewfYO8leg0IvkpaGiV7Srtgy9PuOoe0d/Pz/KyuAf1tVm5cyMEnTeete0qh8jZ/fxifJ4R3GIi1bJnpJo/J7wFFJbklyO80zfUlLzK/XSZLUY87oJUnqMRO9JEk9ZqKXJKnHTPSSJPWYiV6SpB4z0UuS1GMmekmSesxEL0lSj/1/d1wlwnWUcxUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_piano_roll(pm, start_pitch, end_pitch, fs=100):\n",
    "    # Use librosa's specshow function for displaying the piano roll\n",
    "    librosa.display.specshow(pm.get_piano_roll(fs)[start_pitch:end_pitch],\n",
    "                             hop_length=1, sr=fs, x_axis='time', y_axis='cqt_note',\n",
    "                             fmin=pretty_midi.note_number_to_hz(start_pitch))\n",
    "\n",
    "plt.figure(figsize=(8, 4))\n",
    "plot_piano_roll(pm, 56, 70)\n",
    "# Note the blurry section between 1.5s and 2.3s - that's the pitch bending up!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Sonification\n",
    "\n",
    "`pretty_midi` has two main ways to sonify MIDI data: the `synthesize` and `fluidsynth` functions.  `synthesize` is a simple and rudimentary method which just synthesizes each note as a sine wave.  `fluidsynth` uses the Fluidsynth program along with a SoundFont file (a simple one is installed alongside `pretty_midi`) to create a General MIDI synthesis.  Note that you must have the Fluidsynth program installed to use the `fluidsynth` function.  Both the `Instrument` and `PrettyMIDI` classes have these methods; the `PrettyMIDI` versions just sum up the syntheses for all of the contained instruments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio controls=\"controls\" >\n",
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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": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Synthesis frequency\n",
    "fs = 16000\n",
    "IPython.display.Audio(pm.synthesize(fs=16000), rate=16000)\n",
    "# Sounds like sine waves..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio controls=\"controls\" >\n",
       "                    <source 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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": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "IPython.display.Audio(pm.fluidsynth(fs=16000), rate=16000)\n",
    "# Sounds (kind of) like a cello!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Writing it out\n",
    "\n",
    "Finally, we can easily write out what we just made to a standard MIDI file via the `write` function.  `pretty_midi` puts each `Instrument` on a separate track in the MIDI file.  Note that because `pretty_midi` uses a slightly different representation of MIDI data (for example, representing time as absolute seconds rather than as ticks), the information written out to the file will be slightly different.  Otherwise, everything in your `PrettyMIDI` object will be included in the generated MIDI file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "pm.write('out.mid')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parsing a MIDI file\n",
    "\n",
    "The other intended use of `pretty_midi` is to parse MIDI files, so that they can be manipulated and analyzed.  Loading in a MIDI file is simple.  `pretty_midi` should be able to handle all valid MIDI files, and will raise an Exception of the MIDI data is corrupt."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We'll load in the example.mid file distributed with pretty_midi\n",
    "pm = pretty_midi.PrettyMIDI('example.mid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plot_piano_roll(pm, 24, 84)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are 12 time signature changes\n",
      "There are 13 instruments\n",
      "Instrument 3 has 888 notes\n",
      "Instrument 4 has 26 pitch bends\n",
      "Instrument 5 has 169 control changes\n"
     ]
    }
   ],
   "source": [
    "# Let's look at what's in this MIDI file\n",
    "print('There are {} time signature changes'.format(len(pm.time_signature_changes)))\n",
    "print('There are {} instruments'.format(len(pm.instruments)))\n",
    "print('Instrument 3 has {} notes'.format(len(pm.instruments[0].notes)))\n",
    "print('Instrument 4 has {} pitch bends'.format(len(pm.instruments[4].pitch_bends)))\n",
    "print('Instrument 5 has {} control changes'.format(len(pm.instruments[5].control_changes)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### A note on timing information\n",
    "\n",
    "As discussed above, `pretty_midi` stores the time of different events in absolute seconds.  This is different from MIDI, where the timing of events is determined in terms of relative \"ticks\" from the previous event.  The amount of time each tick corresponds to depends on the current tempo and the file's resolution.  Naturally, this is a woefully difficult way to deal with timing, which is why `pretty_midi` represents time in terms of absolute seconds.  Hoever, we don't want to totally get rid of the metrical grid, so `pretty_midi` retains a mapping between times and ticks which is based on tempo change events."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24.271851000000005\n",
      "2688\n",
      "24.271851000000005\n"
     ]
    }
   ],
   "source": [
    "# What's the start time of the 10th note on the 3rd instrument?\n",
    "print(pm.instruments[2].notes[10].start)\n",
    "# What's that in ticks?\n",
    "tick = pm.time_to_tick(pm.instruments[2].notes[10].start)\n",
    "print(tick)\n",
    "# Note we can also go in the opposite direction\n",
    "print(pm.tick_to_time(int(tick)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Modifying the MIDI data\n",
    "\n",
    "Anything we did above when creating a MIDI file can now be done to the parsed MIDI object.  For example, we can add or remove notes from instruments, add or remove instruments from the MIDI sequence, or even modify the attributes of individual events."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's shift the entire piece up by 2 semitones.\n",
    "for instrument in pm.instruments:\n",
    "    # Skip drum instruments - their notes aren't pitched!\n",
    "    if instrument.is_drum:\n",
    "        continue\n",
    "    for note in instrument.notes:\n",
    "        note.pitch += 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Adjusting timing\n",
    "\n",
    "There are two ways to modify the timing of a MIDI sequence in `pretty_midi`.  The first way is to directly changing the timing attributes of all of the events in the `PrettyMIDI` object (and its `Instrument`s).  While simple, the issue with this approach is that the timing of these events will no longer match the metrical information in the MIDI file.  The second approach is to use the `adjust_times` function, which effectively takes an original and adjusted temporal grid and correctly performs the warping - ensuring that the timing/metrical information remains correct.  This can also be used for cropping out portions of the MIDI file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "26.699036100000004\n"
     ]
    }
   ],
   "source": [
    "# Get the length of the MIDI file\n",
    "length = pm.get_end_time()\n",
    "# This will effectively slow it down to 110% of its original length\n",
    "pm.adjust_times([0, length], [0, length*1.1])\n",
    "# Let's check what time our tick from above got mapped to - should be 1.1x\n",
    "print(pm.tick_to_time(tick))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Analyzing the MIDI data\n",
    "\n",
    "`pretty_midi` contains extensive functionality for deriving information from a MIDI sequence.  Much of this information is not readibly accessible from the MIDI file itself, so a primary goal of `pretty_midi` is to take care of all of the parsing and analysis in a correct, efficient, and easy-to-use way.\n",
    "\n",
    "#### Timing information\n",
    "\n",
    "Inferring, for example, the beat or downbeat times from a MIDI file requires keeping careful track of tempo change and time signature change events.  `pretty_midi` handles this for you, and keeps them correct when you use `adjust_times`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the tempo changes over time\n",
    "# Many MIDI files won't have more than one tempo change event,\n",
    "# but this particular file was transcribed to somewhat closely match the original song.\n",
    "times, tempo_changes = pm.get_tempo_changes()\n",
    "plt.plot(times, tempo_changes, '.')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Tempo');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get and downbeat times\n",
    "beats = pm.get_beats()\n",
    "downbeats = pm.get_downbeats()\n",
    "# Plot piano roll\n",
    "plt.figure(figsize=(12, 4))\n",
    "plot_piano_roll(pm, 24, 84)\n",
    "ymin, ymax = plt.ylim()\n",
    "# Plot beats as grey lines, downbeats as white lines\n",
    "mir_eval.display.events(beats, base=ymin, height=ymax, color='#AAAAAA')\n",
    "mir_eval.display.events(downbeats, base=ymin, height=ymax, color='#FFFFFF', lw=2)\n",
    "# Only display 20 seconds for clarity\n",
    "plt.xlim(25, 45);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Harmonic information\n",
    "\n",
    "Beyond metrical information, `pretty_midi` contains a few utility functions for measuring statistics about the harmonic content of the MIDI sequence.  However, it's also designed so that additional analysis is easy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Proportion')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot a pitch class distribution - sort of a proxy for key\n",
    "plt.bar(np.arange(12), pm.get_pitch_class_histogram());\n",
    "plt.xticks(np.arange(12), ['C', '', 'D', '', 'E', 'F', '', 'G', '', 'A', '', 'B'])\n",
    "plt.xlabel('Note')\n",
    "plt.ylabel('Proportion')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "60 C-to-D transitions.\n"
     ]
    }
   ],
   "source": [
    "# Let's count the number of transitions from C to D in this song\n",
    "n_c_to_d = 0\n",
    "for instrument in pm.instruments:\n",
    "    # Drum instrument notes don't have pitches!\n",
    "    if instrument.is_drum:\n",
    "        continue\n",
    "    for first_note, second_note in zip(instrument.notes[:-1], instrument.notes[1:]):\n",
    "        n_c_to_d += (first_note.pitch % 12 == 0) and (second_note.pitch % 12 == 2)\n",
    "print('{} C-to-D transitions.'.format(n_c_to_d))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Utility functions\n",
    "\n",
    "Since the MIDI specification is not a terribly user-friendly format (e.g. instruments are identified by integers with no discernible order), `pretty_midi` provides various functions for converting between MIDI format and human-friendly/readable format."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Program number 42 is Cello\n",
      "... and has instrument class Strings\n",
      "Bassoon has program number 70\n"
     ]
    }
   ],
   "source": [
    "print('Program number 42 is {}'.format(pretty_midi.program_to_instrument_name(42)))\n",
    "print('... and has instrument class {}'.format(pretty_midi.program_to_instrument_class(42)))\n",
    "print('Bassoon has program number {}'.format(pretty_midi.instrument_name_to_program('Bassoon')))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Splash Cymbal has note number 55 on drum instruments\n"
     ]
    }
   ],
   "source": [
    "print('Splash Cymbal has note number {} on drum instruments'.format(\n",
    "    pretty_midi.drum_name_to_note_number('Splash Cymbal')))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A pitch bend value of 1000 is 0.244 semitones\n",
      "To pitch bend by -1.3 semitones, use the value -5324\n"
     ]
    }
   ],
   "source": [
    "print('A pitch bend value of 1000 is {:.3f} semitones'.format(\n",
    "    pretty_midi.pitch_bend_to_semitones(1000)))\n",
    "print('To pitch bend by -1.3 semitones, use the value {}'.format(\n",
    "    pretty_midi.semitones_to_pitch_bend(-1.3)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Additional resources\n",
    "\n",
    "As mentioned above, [the docs](http://craffel.github.io/pretty-midi/) cover all of the functionality in `pretty_midi`.  For additional usage examples, check the [examples directory](https://github.com/craffel/pretty-midi/tree/master/examples).  If you encounter an issue or have a feature request, feel free to [create an issue](https://github.com/craffel/pretty-midi/issues/new)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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