{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lakh MIDI Dataset Tutorial\n",
"\n",
"This IPython notebook demonstrates how to use the data in the [Lakh MIDI Dataset](http://colinraffel.com/projects/lmd/). It shows how the dataset is organized and gives examples of how to use annotations extracted from `LMD-aligned` (the collection of MIDI files which have been matched and aligned to entries in the Million Song Dataset). We will use [`pretty_midi`](https://github.com/craffel/pretty-midi) for parsing the MIDI files, [`mir_eval`](https://github.com/craffel/mir_eval) for sonification and visualization, and [`librosa`](https://github.com/librosa/librosa) for audio analysis."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Imports\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"import pretty_midi\n",
"import librosa\n",
"import mir_eval\n",
"import mir_eval.display\n",
"import tables\n",
"import IPython.display\n",
"import os\n",
"import json\n",
"\n",
"# Local path constants\n",
"DATA_PATH = 'data'\n",
"RESULTS_PATH = 'results'\n",
"# Path to the file match_scores.json distributed with the LMD\n",
"SCORE_FILE = os.path.join(RESULTS_PATH, 'match_scores.json')\n",
"\n",
"# Utility functions for retrieving paths\n",
"def msd_id_to_dirs(msd_id):\n",
" \"\"\"Given an MSD ID, generate the path prefix.\n",
" E.g. TRABCD12345678 -> A/B/C/TRABCD12345678\"\"\"\n",
" return os.path.join(msd_id[2], msd_id[3], msd_id[4], msd_id)\n",
"\n",
"def msd_id_to_mp3(msd_id):\n",
" \"\"\"Given an MSD ID, return the path to the corresponding mp3\"\"\"\n",
" return os.path.join(DATA_PATH, 'msd', 'mp3',\n",
" msd_id_to_dirs(msd_id) + '.mp3')\n",
"\n",
"def msd_id_to_h5(h5):\n",
" \"\"\"Given an MSD ID, return the path to the corresponding h5\"\"\"\n",
" return os.path.join(RESULTS_PATH, 'lmd_matched_h5',\n",
" msd_id_to_dirs(msd_id) + '.h5')\n",
"\n",
"def get_midi_path(msd_id, midi_md5, kind):\n",
" \"\"\"Given an MSD ID and MIDI MD5, return path to a MIDI file.\n",
" kind should be one of 'matched' or 'aligned'. \"\"\"\n",
" return os.path.join(RESULTS_PATH, 'lmd_{}'.format(kind),\n",
" msd_id_to_dirs(msd_id), midi_md5 + '.mid')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data layout\n",
"\n",
"The file [`match_scores.json`](http://colinraffel.com/projects/lmd/match_scores.json) is a good place to start. It holds a dictionary of dictionaries. The first dictionary is keyed by Million Song Dataset IDs. Each entry in this dictionary is a dictionary which maps MD5 checksums of files in the Lakh MIDI Dataset to scores in the range `[0.5, 1.0]` which represent the confidence that a given MIDI file matches a given Million Song Dataset entry. This range of confidence scores is due to the fact that below `0.5` it's likely that the match is invalid. Here's an example:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Million Song Dataset ID TRNCZVX128F92F9018 has 5 MIDI file matches:\n",
" a92af10c0349706ba12552011f7f77a8 with confidence score 0.782934859711\n",
" 335a5edca8882f4d2725683d7c530aac with confidence score 0.755013750955\n",
" 8e2bbe4485b113ba48762b1e3032795a with confidence score 0.768855325835\n",
" df21ff6afbeab449e4d415167c54decf with confidence score 0.689582669694\n",
" 22a0142b14b393b1515062d8a006814e with confidence score 0.702707102354\n"
]
}
],
"source": [
"with open(SCORE_FILE) as f:\n",
" scores = json.load(f)\n",
"# Grab a Million Song Dataset ID from the scores dictionary\n",
"msd_id = scores.keys()[1234]\n",
"print 'Million Song Dataset ID {} has {} MIDI file matches:'.format(\n",
" msd_id, len(scores[msd_id]))\n",
"for midi_md5, score in scores[msd_id].items():\n",
" print ' {} with confidence score {}'.format(midi_md5, score)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This Million Song Dataset entry has 5 MIDI files matched to it, with scores between ~.69 and .78. There are multiple MIDI files matched to this one Million Song Dataset entry because the Lakh MIDI Dataset has multiple _different_ MIDI transcriptions of this single piece of music.\n",
"\n",
"MIDI files which have been matched to the Million Song Dataset are distributed in the Lakh MIDI Dataset in two formats: `LMD-matched` provides them in their raw form as they were scraped from the internet; and `LMD-aligned` contains modified versions which have been aligned to the 7digital preview MP3s which accompany the Million Song Dataset. The directory structure of both of these packages follows the Million Song Dataset. For example, the MIDI files we just inspected above appear in\n",
"```\n",
"N/C/Z/TRNCZVX128F92F9018/a92af10c0349706ba12552011f7f77a8.mid\n",
"N/C/Z/TRNCZVX128F92F9018/335a5edca8882f4d2725683d7c530aac.mid\n",
"N/C/Z/TRNCZVX128F92F9018/8e2bbe4485b113ba48762b1e3032795a.mid\n",
"N/C/Z/TRNCZVX128F92F9018/df21ff6afbeab449e4d415167c54decf.mid\n",
"N/C/Z/TRNCZVX128F92F9018/22a0142b14b393b1515062d8a006814e.mid\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Utilizing aligned MIDI files\n",
"\n",
"MIDI files provide a wide variety of useful information. Moreover, when they are matched and aligned to audio recordings, they can be used to derive annotations about the recording. Below is a demonstration of how to extract this information from the files in `LMD-aligned`. We'll start by grabbing a MIDI file which has all of the useful information we will demonstrate."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"while True:\n",
" # Grab an MSD ID and its dictionary of matches\n",
" msd_id, matches = scores.popitem()\n",
" # Grab a MIDI from the matches\n",
" midi_md5, score = matches.popitem()\n",
" # Construct the path to the aligned MIDI\n",
" aligned_midi_path = get_midi_path(msd_id, midi_md5, 'aligned')\n",
" # Load/parse the MIDI file with pretty_midi\n",
" pm = pretty_midi.PrettyMIDI(aligned_midi_path)\n",
" # Look for a MIDI file which has lyric and key signature change events\n",
" if len(pm.lyrics) > 5 and len(pm.key_signature_changes) > 0:\n",
" break"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# MIDI files in LMD-aligned are aligned to 7digital preview clips from the MSD\n",
"# Let's listen to this aligned MIDI along with its preview clip\n",
"# Load in the audio data\n",
"audio, fs = librosa.load(msd_id_to_mp3(msd_id))\n",
"# Synthesize the audio using fluidsynth\n",
"midi_audio = pm.fluidsynth(fs)\n",
"# Play audio in one channel, synthesized MIDI in the other\n",
"IPython.display.Audio([audio, midi_audio[:audio.shape[0]]], rate=fs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Metadata from the Million Song Dataset\n",
"\n",
"We can use information from the h5 file for the Million Song Dataset entry to determine metadata about this MIDI file match. The Million Song Dataset also has additional useful information, like terms which describe the artist."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ID: TRALLSG128F425A685\n",
"\"White Flag\" by Dido on \"Life For Rent\"\n",
"Top 5 artist terms: singer-songwriter, rock, pop, alternative, indie\n"
]
}
],
"source": [
"with tables.open_file(msd_id_to_h5(msd_id)) as h5:\n",
" print 'ID: {}'.format(msd_id)\n",
" print '\"{}\" by {} on \"{}\"'.format(\n",
" h5.root.metadata.songs.cols.title[0],\n",
" h5.root.metadata.songs.cols.artist_name[0],\n",
" h5.root.metadata.songs.cols.release[0])\n",
" print 'Top 5 artist terms:', ', '.join(list(h5.root.metadata.artist_terms)[:5])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Transcription\n",
"\n",
"MIDI files are at their core a way of storing a score of a piece of music, so the MIDI files in the Lakh MIDI dataset can be used to obtain a transcription of the audio files they are matched and aligned to. `pretty_midi`'s `get_piano_roll()` method provides a convenient way of getting a \"piano roll representation\" of the transcription."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Retrieve piano roll of the MIDI file\n",
"piano_roll = pm.get_piano_roll()\n",
"# Use 7 octaves starting from C1\n",
"piano_roll = piano_roll[12:96]\n",
"# Retrieve the audio corresponding to this MSD entry\n",
"audio, fs = librosa.load(msd_id_to_mp3(msd_id))\n",
"# Compute constant-Q spectrogram\n",
"cqt = librosa.logamplitude(librosa.cqt(audio))\n",
"# Normalize for visualization\n",
"cqt = librosa.util.normalize(cqt)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
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+FbdbjRvV5/lj4PmSsA8BrwF/XSf69wH/X8n+E4D/DCFsq3OuEELsQA0xIURv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\neGyZzlOlqjv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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"plt.subplot(211)\n",
"librosa.display.specshow(piano_roll, y_axis='cqt_note', cmap=plt.cm.hot)\n",
"plt.title('MIDI piano roll')\n",
"plt.subplot(212)\n",
"librosa.display.specshow(cqt, y_axis='cqt_note', x_axis='time',\n",
" cmap=plt.cm.hot, vmin=np.percentile(cqt, 25))\n",
"plt.title('Audio CQT');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In MIDI files, different instruments are transcribed on different tracks or channels, which allows them to be separated easily. You can therefore easily get per-instrument piano rolls with `pretty_midi`. This enables the potential of creating annotations for melody extraction and score-informed source separation. Note that while methods exist for giving instruments arbitrary text names, in practice are limited to the instruments in the General MIDI specification."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Retrieve piano roll of one of the instruments\n",
"piano_roll = pm.instruments[4].get_piano_roll()\n",
"piano_roll = piano_roll[12:96]\n",
"plt.figure(figsize=(10, 3))\n",
"librosa.display.specshow(piano_roll, y_axis='cqt_note', cmap=plt.cm.hot)\n",
"# Get the text name of this instrument's program number\n",
"program_name = pretty_midi.program_to_instrument_name(pm.instruments[4].program)\n",
"plt.title('Instrument 4 ({}) piano roll'.format(program_name));"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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4GTi5avNSYK/xBmtmZmY2SLJMX3EayTxfzwFExB+AA/IMyszMzGwYZEnEpkXEb6u2PZ9H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\nzLrkvwH7BrFWCnrspAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# pretty_midi also provides direct access to the pitch and start/end time of each note\n",
"intervals = np.array([[note.start, note.end] for note in pm.instruments[4].notes])\n",
"notes = np.array([note.pitch for note in pm.instruments[4].notes])\n",
"plt.figure(figsize=(10, 3))\n",
"mir_eval.display.piano_roll(intervals, midi=notes, facecolor='orange')\n",
"plt.title('Instrument 4 ({}) piano roll'.format(program_name))\n",
"plt.xlabel('Time')\n",
"plt.ylabel('MIDI note number');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Meter\n",
"\n",
"Because MIDI files are scores, they contain full meter information (e.g. time signatures, beats, and downbeats). Since the MIDI files in `LMD-aligned` are aligned to corresponding 7digital preview clips in the Million Song Dataset, we can extract beat and downbeat annotations for the 7digital preview clip from the MIDI file directly."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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/+3fcLyoaNZrB+0MqWz5bqUoxgX8nZ+d/qr0t93u7vifveO07SvWwwY+Vodp/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0cMCKeKVy1e5aeysoiZ0gd7BnOtGcwadCTcirJO2x3Kgu+2TbdVVTfaC+25ruDy4VQYLFVaCxL7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\nTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Retrieve the beats and downbeats from pretty_midi\n",
"# Note that the beat phase will be wrong until the first time signature change after 0s\n",
"# So, let's start beat tracking from that point\n",
"first_ts_after_0 = [ts.time for ts in pm.time_signature_changes if ts.time > 0.][0]\n",
"# Get beats from pretty_midi, supplying a start time\n",
"beats = pm.get_beats(start_time=first_ts_after_0)\n",
"# .. downbeats, too\n",
"downbeats = pm.get_downbeats(start_time=first_ts_after_0)\n",
"# Display meter on top of waveform\n",
"plt.figure(figsize=(10, 3))\n",
"librosa.display.waveplot(audio, color='green', alpha=.5)\n",
"mir_eval.display.events(beats, base=-1, height=2, color='orange')\n",
"mir_eval.display.events(downbeats, base=-1, height=2, color='black', lw=2);"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Synthesize clicks at these downbeat times\n",
"beat_clicks = librosa.clicks(beats, length=audio.shape[0])\n",
"downbeat_clicks = librosa.clicks(downbeats, click_freq=2000, length=audio.shape[0])\n",
"IPython.display.Audio([audio, beat_clicks + downbeat_clicks], rate=fs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Key changes\n",
"\n",
"MIDI files can contain key signature annotations. They are, however, a completely optional meta-event, so many MIDI files don't have one. Because key changes are rare in Western popular music, most MIDI files which do have key signature change annotations only have one."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Key F Major starting at time 0.00\n"
]
}
],
"source": [
"# Print out all key changes in the MIDI file\n",
"for key_change in pm.key_signature_changes:\n",
" print 'Key {} starting at time {:.2f}'.format(\n",
" pretty_midi.key_number_to_key_name(key_change.key_number), key_change.time)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lyrics\n",
"\n",
"MIDI files can also optionally have lyrics events, which are essentially timestamped text. Lyrics are often transcribed at the syllable level, but also occasionally at the character or word level. As with meter information, because the MIDI files in `LMD-aligned` are matched and aligned to 7digital preview MP3s, we can use the MIDI files to obtain timestamped lyrics transcriptions for these recordings."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.000\n",
" IT\n",
" 0.629| 0.858| 1.011| 1.164| 1.316| 1.622| 1.776| 2.159| 2.541\n",
" WEL| L | I'| D | STIL| L | HAVE | FELT | IT\n",
" 3.843| 4.239| 4.371| 4.636| 4.834| 5.033| 5.231\n",
" WHERE'| S | THE | SEN| SE | IN | THAT?\n",
"\n",
"\n",
" 8.439| 8.797| 9.153| 9.511| 10.179| 10.892| 11.250| 11.607\n",
" I |PROMISE | I'| M | NOT | TRYING | TO | MAKE\n",
" 12.678| 13.036| 13.346| 14.061\n",
" YOUR | LIFE | HAR| DER\n",
" 14.417| 14.954| 15.489| 15.668| 16.025| 16.383\n",
" OR | RETURN | TO | WHERE | WE | WERE\n",
"\n",
"\n",
" 20.979| 21.238| 21.412| 21.586| 21.845| 22.018| 22.279| 22.666| 23.100| 23.533\n",
" WEL| L | I | WIL| L | GO | DOWN | WITH | THIS | SHIP\n",
" 25.528| 25.809| 25.948| 26.230| 26.369| 26.650| 26.860| 27.281\n",
" AND | I | WON'| T | PUT | MY | HANDS | UP\n",
" 28.564| 29.100| 29.278| 29.636\n",
" AND | SUR| REN| DER\n"
]
}
],
"source": [
"# Get the boundaries of each line in the lyrics\n",
"lines = [0] + [n for n, lyric in enumerate(pm.lyrics) if '\\r' in lyric.text]\n",
"for start, end in zip(lines[:-1], lines[1:]):\n",
" # Print the times of each lyric in the line, delimited by |\n",
" print '|'.join('{:>8.3f}'.format(lyric.time)\n",
" for lyric in pm.lyrics[start:end]\n",
" if lyric.text != '\\r')\n",
" # Print the text of each lyric in the line, delimited by |\n",
" print '|'.join('{:>8}'.format(lyric.text)\n",
" for lyric in pm.lyrics[start:end]\n",
" if lyric.text != '\\r')"
]
}
],
"metadata": {
"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
}