{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# In Search of a New Musical Genre, Using Spotify Data\n", "**Alex Nisnevich**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I want to come up with a new musical genre.\n", "\n", "Let's think of a genre as a set of characteristics that songs share. If we look at the space of all potential characteristics of songs, genres are subspaces of it. The most clearly defined genres should intuitively be clearly separated from other genres without too much overlap.\n", "\n", "So, how does one go about finding a new set of musical characteristics to create an original genre of music from? Well, we'd have to find a subspace (a \"niche\") that's unoccupied, and fill it.\n", "\n", "Let's try to find such a niche with data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## I. Data Collection" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import pandas as pd\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What better dataset to use than Spotify itself? I cooked up a quick [Ruby script](https://github.com/AlexNisnevich/spotify-genre-features) to extract 50 (hopefully representative) songs for each genre within Spotify and get feature vectors of each song's [\"audio features\"](https://developer.spotify.com/web-api/get-several-audio-features/), a set of variables ranging from \"acousticness\" to valence (\"musical positivity\")." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "songs = pd.read_csv('https://raw.githubusercontent.com/AlexNisnevich/spotify-genre-features/master/features.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's a sample of the kind of musical characteristics that we're dealing with:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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idgenreacousticnessdanceabilityduration_msenergyinstrumentalnesskeylivenessloudnessmodespeechinesstempotime_signaturevalence
17501he1D2P1ymoVA1N3mOGylGhonky-tonk0.632000.7591823330.7060.00006390.373-7.25410.0317134.27140.763
339302srSkeu2pzybuVr2B9TJmsoul0.732000.5641787470.5940.00366090.343-9.24510.0328120.74940.767
10727AKEHgmBqr8VmXJ8HvFg68edm0.013400.6213276540.7910.00332020.088-5.87900.0460125.99740.483
4573bkZReCuqrYw0WALEnSqXzchicago-house0.001310.8012925000.7120.865000100.580-5.03600.0578128.02640.725
12226wPXvudEW0YVImqv6jr0REemo0.001580.2992365600.9130.00331090.122-7.64510.0598101.05930.169
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" ], "text/plain": [ " id genre acousticness danceability \\\n", "1750 1he1D2P1ymoVA1N3mOGylG honky-tonk 0.63200 0.759 \n", "3393 02srSkeu2pzybuVr2B9TJm soul 0.73200 0.564 \n", "1072 7AKEHgmBqr8VmXJ8HvFg68 edm 0.01340 0.621 \n", "457 3bkZReCuqrYw0WALEnSqXz chicago-house 0.00131 0.801 \n", "1222 6wPXvudEW0YVImqv6jr0RE emo 0.00158 0.299 \n", "\n", " duration_ms energy instrumentalness key liveness loudness mode \\\n", "1750 182333 0.706 0.000063 9 0.373 -7.254 1 \n", "3393 178747 0.594 0.003660 9 0.343 -9.245 1 \n", "1072 327654 0.791 0.003320 2 0.088 -5.879 0 \n", "457 292500 0.712 0.865000 10 0.580 -5.036 0 \n", "1222 236560 0.913 0.003310 9 0.122 -7.645 1 \n", "\n", " speechiness tempo time_signature valence \n", "1750 0.0317 134.271 4 0.763 \n", "3393 0.0328 120.749 4 0.767 \n", "1072 0.0460 125.997 4 0.483 \n", "457 0.0578 128.026 4 0.725 \n", "1222 0.0598 101.059 3 0.169 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "songs.sample(5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the most part, we're interested in genres, not individual songs, so let's pivot by genre (taking the mean of each feature):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "genres = songs.pivot_table(index=['genre'])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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acousticnessdanceabilityduration_msenergyinstrumentalnesskeylivenessloudnessmodespeechinesstempotime_signaturevalence
genre
afrobeat0.1936250.657720325293.0000000.7646200.3626104.2800000.156580-8.2485400.5600000.064238118.0036603.9600000.819140
ambient0.8080060.313802356026.6000000.2076600.8964205.3400000.128308-21.6378800.5200000.043848104.5296803.8000000.154952
anime0.0705910.567731247769.9615380.7966920.0375016.6538460.218781-5.7885770.5384620.067327128.2223083.9615380.543692
black-metal0.0079000.267830323244.9800000.9059800.4500045.9200000.248532-5.5569400.5000000.093300123.5030003.8800000.142944
bluegrass0.6561160.532480214257.9200000.5004000.1364894.7600000.194482-10.6481800.8200000.035348126.3989003.9800000.672560
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" ], "text/plain": [ " acousticness danceability duration_ms energy \\\n", "genre \n", "afrobeat 0.193625 0.657720 325293.000000 0.764620 \n", "ambient 0.808006 0.313802 356026.600000 0.207660 \n", "anime 0.070591 0.567731 247769.961538 0.796692 \n", "black-metal 0.007900 0.267830 323244.980000 0.905980 \n", "bluegrass 0.656116 0.532480 214257.920000 0.500400 \n", "\n", " instrumentalness key liveness loudness mode \\\n", "genre \n", "afrobeat 0.362610 4.280000 0.156580 -8.248540 0.560000 \n", "ambient 0.896420 5.340000 0.128308 -21.637880 0.520000 \n", "anime 0.037501 6.653846 0.218781 -5.788577 0.538462 \n", "black-metal 0.450004 5.920000 0.248532 -5.556940 0.500000 \n", "bluegrass 0.136489 4.760000 0.194482 -10.648180 0.820000 \n", "\n", " speechiness tempo time_signature valence \n", "genre \n", "afrobeat 0.064238 118.003660 3.960000 0.819140 \n", "ambient 0.043848 104.529680 3.800000 0.154952 \n", "anime 0.067327 128.222308 3.961538 0.543692 \n", "black-metal 0.093300 123.503000 3.880000 0.142944 \n", "bluegrass 0.035348 126.398900 3.980000 0.672560 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "genres.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II. Exploration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot some features against one another and see if we find any obvious gaps.\n", "\n", "First, let's try plotting tempo against loudness:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/alex/anaconda/lib/python2.7/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", " if self._edgecolors == str('face'):\n" ] }, { "data": { "image/png": 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lSxIeHs7QoUPZtGkTJ0+etJs6p6WlsWvXLnv7nKEw53UCJCcnU6VKFdLS0vjw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\nPuBm1K8X17EmyeNJXlxK2TrJi5P8ND0D+Gpnn68m+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(15, 15))\n", "genres.plot.scatter('tempo', 'loudness', ax=ax, s=0) # To get the right x/y bounds\n", "ax.set_xlabel('tempo')\n", "ax.set_ylabel('loudness')\n", "for k, v in genres.iterrows():\n", " ax.annotate(k, (v['tempo'], v['loudness']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nothing too exciting here. Most genres are clustered in a tight ball around 110-140 bpm and loudness in the -13 to -5 dB range." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try using more expressive features. How about valence (musical positivity) and danceability?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2KuF62fDt7ULANfUzevTo/O1vf8ujjz6a6dOnp0uXLlmyZMnauViA90iYBAAb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\n8F0wNGrUKOLj49m6dSv9+/ePHEtKSiIlJYULL7yQHj16RIKmK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(20, 20))\n", "ax.set_xlabel('valence')\n", "ax.set_ylabel('danceability')\n", "for k, v in genres.iterrows():\n", " ax.annotate(k, (v['valence'], v['danceability']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The pattern is a little more interesting now: valence and danceability tend to be correlated (which makes sense!), but, for example, techno is disproportionally danceable given its middling positivity, while rockabilly is disproportionally positive compared to its danceability. So there's a bit of a spectrum there. That makese sense too.\n", "\n", "Still, no obvious gaps ..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about valence vs. energy? These two seem to be less closely related to one another (for example, metal is very high-energy and typically low-valence), and thus should result in a more interesting graph.\n", "\n", "And we're right:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WFRYWqmvXrlq/fr3Cw8NLbdwAgNsfM5MAAHekt956S926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\n8oxnPCP3339/zjzzzCTJ0572tIwfPz5XXnllkuSMM84Y3vfs2bNz4oknZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(20, 20))\n", "ax.set_xlabel('Valence (musical positiveness conveyed by a track)')\n", "ax.set_ylabel('Energy (perceptual measure of intensity and activity)')\n", "for k, v in genres.iterrows():\n", " ax.annotate(k, (v['valence'], v['energy']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now _that's_ interesting, the genres are kind of all over the place now. And, look at that big empty circle in the middle!\n", "\n", "That empty gap, between MPB and \"latin\" (or techno) in energy and between trip-hop and funk in valence, seems like just the sort of place for a new genre to arise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A natural question arises: is there _any_ music that fits that gap? Is it a gap from a song-by-song perspective or only from a genre-by-genre perspective? Let's examine that by plotting all our songs:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Qa3wYfZxR7RgfRPbhBbhJ07SQ6dUKtqE21TYGKv7NyGNF7bp37NgR/v7+AIDg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xQYuFL9VUgIIbRJ2hvdU9IeHUeOHCEiIqLA7zIyMoq9PldXV70PJAFUq1YNyOpx5OXlRf/+/WnR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\nX/f4449n1KhROe+887LjjjtmwYIF+fWvf52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7jFWSA4DnV9XOUe2jqt5VVe/d6OpDLaZ3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\nYZIkSZIkSZIGZpgkSZIkSZKkgf1/zUYVoX/CvcsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(20, 20))\n", "ax.set_xlabel('Valence (musical positiveness conveyed by a track)')\n", "ax.set_ylabel('Energy (perceptual measure of intensity and activity)')\n", "ax.plot(songs.valence, songs.energy, marker='o', linestyle='', ms=1)\n", "for k, v in genres.iterrows():\n", " ax.annotate(k, (v['valence'], v['energy']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ah, looks like there's definitely songs occupying this gap." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III. Digging Deeper" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's zoom in on the hole we found:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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4vmHDBqBgipS33nrLsfzw4cPlOn7N6+e9wsPD2bRpk2OqqIsp74+Uiw3Su9gg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\nhYXb1eHwww/nvffe48orr+SZZ56hVatWrFmzhjVr1tCnTx8ARowYwYs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UKANSSZIkJcqA\nVJIkSYkyIJUkSVKiDEglSZKUKANSSZIkJcqAVJIkSYkyIJUkSVKiDEglSZKUKANSSZIkJcqAVJIk\nSYkyIJUkSVKiDEglSZKUKANSSZIkJcqAVJIkSYkyIJUkSVKiDEglSZKUKANSSZIkJcqAVJIkSYky\nIJUkSVKiDEglSZKUKANSSZIkJcqAVJIkSYkyIJUkSVKiDEglSZKUKANSSZIkJcqAVJIkSYkyIJUk\nSVKi/h/h4yX2yjiq7QAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 10))\n", "ax.set_xlabel('Valence')\n", "ax.set_ylabel('Energy')\n", "ax.plot(songs.valence, songs.energy, marker='o', linestyle='', ms=1)\n", "ax.set_xbound([0.4, 0.75])\n", "ax.set_ybound([0.5, 0.75])\n", "for k, v in genres.iterrows():\n", " ax.annotate(k, (v['valence'], v['energy']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's zoom in even further, to find the exact tracks that are closest to our \"target\" (halfway between MPB and Latin, and halfway between funk and trip-hop)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x_target = (genres['valence']['trip-hop'] + genres['valence']['funk']) / 2\n", "y_target = (genres['energy']['latin'] + genres['energy']['mpb']) / 2" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VS+PGjSv1GMxMnTt31iuvvKJvv/221PWj2krKdvfv3H2fIhfwBdorcmdfksZJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 10))\n", "ax.set_xlabel('Valence')\n", "ax.set_ylabel('Energy')\n", "ax.set_xbound([x_target - 0.03, x_target + 0.03])\n", "ax.set_ybound([y_target - 0.03, y_target + 0.03])\n", "ax.annotate('+', (x_target, y_target))\n", "for k, v in songs.iterrows():\n", " ax.annotate(v['id'], (v['valence'], v['energy']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And what _are_ the closest songs to our target?" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "songs['distance'] = abs(songs['valence'] - x_target) ** 2 + abs(songs['energy'] - y_target) ** 2" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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34666IZBT8fnxNMqNGsNteBQlOtango0.1690.5722033730.6070.87900000.0923-8.21410.119066.82140.5880.000153
29633JTpSzfNBHhK6qWoJVMDTQrockabilly0.6760.6021401200.6140.00000370.2040-11.79910.0679140.04640.6000.000395
20913rtCErcwp0iPjvBNgSvhjyjazz0.3680.4972608270.6050.01220020.0378-9.50500.042588.23740.6030.000652
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23601hZrkFAJO2VgexTxM3UfyAminimal-techno0.3350.7963683530.5990.845000100.0708-10.34400.0567125.00240.6010.000741
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36880l3pVnX6O8AhKdwwKivcE0work-out0.1040.7302008290.6000.00000010.1330-11.48100.074397.97240.5560.000868
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" ], "text/plain": [ " id genre acousticness danceability \\\n", "388 7n5q5KCdG2BHlfA92q60hA cantopop 0.377 0.718 \n", "2214 7n5q5KCdG2BHlfA92q60hA mandopop 0.377 0.718 \n", "3466 6IZBT8fnxNMqNGsNteBQlO tango 0.169 0.572 \n", "2963 3JTpSzfNBHhK6qWoJVMDTQ rockabilly 0.676 0.602 \n", "2091 3rtCErcwp0iPjvBNgSvhjy jazz 0.368 0.497 \n", "543 75TZt74YXA1KOqgGAr4cSs comedy 0.870 0.586 \n", "2156 2VLcpwzuZVSZQUCQDQRM8n latin 0.401 0.620 \n", "2360 1hZrkFAJO2VgexTxM3UfyA minimal-techno 0.335 0.796 \n", "3163 2vMe4tEwZ5gDLGk6l6NyeW show-tunes 0.635 0.472 \n", "3688 0l3pVnX6O8AhKdwwKivcE0 work-out 0.104 0.730 \n", "\n", " duration_ms energy instrumentalness key liveness loudness mode \\\n", "388 205464 0.619 0.000000 4 0.0912 -8.500 1 \n", "2214 205464 0.619 0.000000 4 0.0912 -8.500 1 \n", "3466 203373 0.607 0.879000 0 0.0923 -8.214 1 \n", "2963 140120 0.614 0.000003 7 0.2040 -11.799 1 \n", "2091 260827 0.605 0.012200 2 0.0378 -9.505 0 \n", "543 333264 0.631 0.000000 10 0.2980 -8.676 1 \n", "2156 192308 0.591 0.000000 1 0.1380 -7.085 1 \n", "2360 368353 0.599 0.845000 10 0.0708 -10.344 0 \n", "3163 186480 0.592 0.000000 11 0.2180 -8.309 0 \n", "3688 200829 0.600 0.000000 1 0.1330 -11.481 0 \n", "\n", " speechiness tempo time_signature valence distance \n", "388 0.0298 98.011 4 0.588 0.000065 \n", "2214 0.0298 98.011 4 0.588 0.000065 \n", "3466 0.1190 66.821 4 0.588 0.000153 \n", "2963 0.0679 140.046 4 0.600 0.000395 \n", "2091 0.0425 88.237 4 0.603 0.000652 \n", "543 0.9050 82.155 4 0.602 0.000677 \n", "2156 0.0304 148.060 4 0.573 0.000712 \n", "2360 0.0567 125.002 4 0.601 0.000741 \n", "3163 0.2220 97.740 3 0.594 0.000796 \n", "3688 0.0743 97.972 4 0.556 0.000868 " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "songs.sort_values('distance')[:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Decoding the Spotify song hashes gives us our five songs most emblematic of this \"new\" potential genre, and it's quite the eclectic mix!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- [Fly with me (『莫非,這就是愛情』片頭曲) By 溫嵐](https://open.spotify.com/track/7n5q5KCdG2BHlfA92q60hA)\n", "- [La Vista Gorda by Fernando Otero](https://open.spotify.com/track/6IZBT8fnxNMqNGsNteBQlO)\n", "- [Wooly Bully by Sam The Sham & The Pharaohs](https://open.spotify.com/track/3JTpSzfNBHhK6qWoJVMDTQ)\n", "- [Music Prayer For Peace by Ernie Watts](https://open.spotify.com/track/3rtCErcwp0iPjvBNgSvhjy)\n", "- [Me Duele Amarte by Reik](https://open.spotify.com/track/2VLcpwzuZVSZQUCQDQRM8n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion / Future Work" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This has of course been rather silly, but still an interesting piece of data exploration.\n", "\n", "Using only Spotify song features, we found a musical niche (within the valence/energy plane) that seems to not be filled by any one genre, though occupied by a diverse group of songs.\n", "\n", "If I were to work on this idea more, here's some other things I'd like to try:\n", "- Looking at higher-dimensional data (e.g. 3d plots ... dimensionality reduction via PCA ...) to find holes\n", "- A more principled method of finding holes that doesn't rely on visual inspection\n", "- Observing the clusters formed by each genre rather than just taking the mean of each song within it\n", "- More data!" ] } ], "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": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }