{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# carat - rhythmic patterns demo\n", "
\n",
    " _  _  __ _ _|_\n",
    "(_ (_| | (_| |_   computer-aided rhythm analysis toolbox\n",
    "
\n", "\n", "This notebook shows how to extract rhythmic patterns from a recording using [carat](https://github.com/mrocamora/carat) library.\n", "\n", "The procedure is based on the tools proposed in:\n", "\n", "* *Tools for detection and classification of piano drum patterns from candombe recordings.* Rocamora, Jure, Biscainho. 9th Conference on Interdisciplinary Musicology (CIM), Berlin, Germany. 2014. [CIM2014](https://iie.fing.edu.uy/publicaciones/2014/RJB14/)\n", "\n", "**Note:** At this point it is assumed that there are beat annotations for the recording.\n", "\n", "The following steps shows how to:\n", "\n", "* Load audio input from file\n", "* Load beat annotations from file\n", "* Compute an accentuation feature\n", "* Compute a map of rhythmic patterns\n", "* Group the rhythmic patterns into clusters\n", "* Display the centroids of the obtained clusters\n", "* Display a low-dimensional representation of the patterns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How to run the notebook\n", "You can download the notebook and run it locally in your computer.\n", "\n", "You can also run it in Google Colab by using the following link. \n", "\n", "\n", " \n", "
\n", " Run in Google Colab\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or you can run them using Binder directly in your browser: [![Binder](https://mybinder.org/badge_logo.svg)](https://notebooks.gesis.org/binder/v2/gh/mrocamora/carat/blob/master/examples/carat_rhythmic_patterns_demo.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Install required packages\n", "\n", "You should install the following packages by running the next two cells." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "!pip install carat" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import IPython.display as ipd\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "from carat import annotations, audio, clustering, display, features, util \n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1) Load audio and beat annotations\n", "This first step shows how to load an audio file and the corresponding beat/downbeat annotations from a text file." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sr: 44100\n" ] } ], "source": [ "# use an example audio file provided\n", "audio_path = util.example(\"ansina_audio\")\n", "# or uncomment the line below and point it at your audio file:\n", "# audio_path = '/path/to/your/file/my-recording.wav'\n", "\n", "# load audio file\n", "y, sr = audio.load(audio_path, sr=None)\n", "\n", "# time corresponding to the audio signal\n", "time = np.arange(0, y.size)/sr\n", "\n", "# print sampling rate\n", "print('sr: ', sr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note:** By default, carat will resample the signal to 22050Hz. But you can disable resamplig as follows:\n", "```\n", "audio.load(audio_path, sr=None)\n", "```" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# to plot audio waveform let's load only 10 seconds of the same audio file\n", "y_short, sr = audio.load(audio_path, sr=None, duration=10.0)\n", "\n", "plt.figure(figsize=(12,6))\n", "ax1 = plt.subplot(2, 1, 1)\n", "display.wave_plot(y_short, sr, ax=ax1)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can listen to the first 10 seconds of the audio file. \n", "\n", "**Note:** This example is tailored towards the rhythmic patterns of the **lowest sounding** of the three drum types taking part in the recording, so the analysis focuses on the **low frequencies**. You may need headphones to listen to the low frequencies. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio(y_short, rate=sr)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.54857143 0.99387755 1.46140589 1.8953288 2.33265306 2.80902494\n", " 3.25365079 3.68412698 4.11530612 4.5815873 ]\n", "['1.1', '1.2', '1.3', '1.4', '2.1', '2.2', '2.3', '2.4', '3.1', '3.2']\n", "[0.54857143 2.33265306 4.11530612]\n", "['1.1', '2.1', '3.1']\n" ] } ], "source": [ "# use annotations provided for the example audio file\n", "annotations_path = util.example(\"ansina_beats\")\n", "# or uncomment the line below and point it at your annotations file:\n", "# annotations_path = '/path/to/your/file/my-annotations.csv'\n", "\n", "# load beats and beat labels\n", "beats, beat_labs = annotations.load_beats(annotations_path)\n", "# load downbeats and downbeat labels\n", "downbeats, downbeat_labs = annotations.load_downbeats(annotations_path)\n", "\n", "# print the first 10 beats and beat labels\n", "print(beats[:10])\n", "print(beat_labs[:10])\n", "# print the first 3 downbeats and downbeat labels\n", "print(downbeats[:3])\n", "print(downbeat_labs[:3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note 1:** It is assumed that the beat annotations are provided as a text file (csv). Apart from the time data (mandatory) a label can be given for each beat (optional). The time data is assumed to be given in seconds. The labels may indicate the beat number within the rhythm cycle (e.g. 1.1, 1.2, or 1, 2).\n", "\n", "By default the columns are assumed to be separated by a comma, but you can specify another separating string by setting the `delimiter` parameter value. For instance a blank space:\n", "```\n", "beats, beat_labs = annotations.load_downbeats(annotations_path, delimiter=' ')\n", "```\n", "**Note 2:** The same annotations file is used for both beats and downbeats. This is based on annotation labels that provide a particular string to identify the downbeats. In this case, this string is `.1`, and is the one used by default. You can specify the string to look for in the labels data to select downbeats by setting the `downbeat_label` parameter value. For instance, just the number 1:\n", "```\n", "downbeats, downbeat_labs = annotations.load_downbeats(annotations_path, downbeat_label='1')\n", "```" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot waveform and beats for the first 10 seconds\n", "plt.figure(figsize=(12,6))\n", "ax1 = plt.subplot(2, 1, 1)\n", "display.wave_plot(y_short, sr, ax=ax1, beats=beats, beat_labs=beat_labs)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2) Compute accentuation feature\n", "\n", "This second step show how to compute an accentuation feature from the audio waveform based on the [Spectral flux](https://en.wikipedia.org/wiki/Spectral_flux), that consists in seizing the changes in the spectral magnitude of the audio signal along different frequency bands. In principle, the feature value is high when a note has been articulated and close to zero otherwise.\n", "\n", "**Note:** This example is tailored towards the rhythmic patterns of the **lowest sounding** of the three drum types taking part in the recording, so the analysis focuses on the **low frequencies** (20 to 200 Hz)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We focus on the low frequency band (20 to 200 Hz), to get the rhythmic patterns of the low sounding drum (piano)\n", "acce, times, _ = features.accentuation_feature(y_short, sr, minfreq=20, maxfreq=200)\n", "\n", "# plot waveform and accentuation feature\n", "plt.figure(figsize=(12,6))\n", "# plot waveform\n", "ax1 = plt.subplot(2, 1, 1)\n", "display.wave_plot(y_short, sr, ax=ax1, beats=beats, beat_labs=beat_labs)\n", "# plot accentuation feature\n", "ax2 = plt.subplot(2, 1, 2, sharex=ax1)\n", "display.feature_plot(acce, times, ax=ax2, beats=beats, beat_labs=beat_labs)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3) Compute feature map\n", "\n", "The accentuation feature is organized into a feature map. First, the feature signal is time-quantized to the rhythm metric structure by considering a grid of tatum pulses equally distributed within the annotated beats. The corresponding feature value is taken as the maximum within window centered at the frame closest to each tatum instant. This yields feature vectors whose coordinates correspond to the tatum pulses of the rhythm cycle (or bar). Finally, a feature map of the cycle-length rhythmic patterns of the audio file is obtained by building a matrix whose columns are consecutive feature vectors." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# We focus on the low frequency band (20 to 200 Hz), to get the rhythmic patterns of the low sounding drum (piano)\n", "acce, times, _ = features.accentuation_feature(y, sr, minfreq=20, maxfreq=200)\n", "\n", "# number of beats per bar\n", "n_beats = int(round(beats.size/downbeats.size))\n", "# you have to provide the number of tatums (subdivisions) per beat\n", "n_tatums = 4\n", "\n", "# Compute the feature map from the feature signal and \n", "map_acce, _, _, _ = features.feature_map(acce, times, beats, downbeats, n_beats=n_beats, n_tatums=n_tatums)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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su5rHe/bsKcd614x3PrZp00b2RYsWyd68eXPZ1b3/73//uxz73nvvyT527FjZTz/9dNm91z5XXXWV7Gp+V9eXmb63mfmvZfbcc0/Z69SpI7t6DW1mVr9+/X//dwhBjqnJd7D6mtnxIYR5ZvaUmfUPIehX3gAAAACwC6ixBVaMcWSMsU2Msb2ZnWpmb8QY9VsnAAAAALAL4PdgAQAAAEBKaux7sLYVY3zLzN76Lj4XAAAAAOwovIMFAAAAAClhgQUAAAAAKWGBBQAAAAApYYEFAAAAAClhgQUAAAAAKWGBBQAAAAAp+U5+TPs3UVpammgVFRVybNeuXWUfPXq07N7jtGjRQvY1a9bIfuGFFybaq6++KscefPDBsv/+97+Xffbs2bIPGjRI9oKCAtnnz5+faMOGDZNjmzZtKvuKFStkv+yyy2Tv0aOH7GvXrpW9S5cu1f68BxxwgBx73333yT5u3DjZJ06cKHuMUfbrr79e9ocffjjROnfuLMcWFhbK3rZtW9mnTp0q+yWXXCJ7dra+nH/0ox9Ve1tCCLK3bt1a9qysLNk//vhj2b1rbPjw4bJv2bIl0Q466CA51rtmvG2fMWOG7N45dumll8q+evXqRHvzzTfl2CuvvFL28vJy2fPy8mQ/88wzZb/66qtl/8lPfpJof/nLX+TY/fbbT/a6devKfsMNN8j+7rvvyn7ooYfKvnXr1kQ744wz5FjvPFKPsb3xTzzxhOzqujYzmzJliuyvvPJKovXr10+OLSkpkb1OnTqyd+/eXfZ77rlH9sMPP1z2008/PdG889Sbq73zcdWqVbJ369Yto37IIYckmjcn9+3bV/aZM2fKrq4BM7MFCxbI7t0n77jjDtkHDhyYaJs3b5ZjvTlMzXdmZrvvvrvsHm8++fWvf51omZ53ZWVlsnv7q6ioSPb9999fdnUPOu644+RY7543YcIE2b15YMiQIbJ7vH2mXm916tRJjj3//PNlv+KKK2Tv2LGj7N4+OPbYY2VXr2fXrVsnx3r398MOO0z2P/3pT7LPnTtXdu9e+8Mf/rBazcxs1KhRsu+9996ye3NPbm6u7N6xrg7ewQIAAACAlLDAAgAAAICUsMACAAAAgJSwwAIAAACAlLDAAgAAAICUsMACAAAAgJSwwAIAAACAlLDAAgAAAICUsMACAAAAgJSwwAIAAACAlLDAAgAAAICUhBjjjt6GfyssLIxFRUVmZlZWVpb4+02bNsmPy83Nlb2iokL2rKws2efMmSN7hw4dZG/cuHGibdiwQY7Nz8+X/YMPPpC9bdu2smdnZ8v+6quvyt66detEO+aYY+TYTz/9VPa99tpL9sWLF8teq1Zm6/azzz5b9ttvvz3RWrVqJceuX79edu8c6Ny5s+zXXHON7DNmzJD9yiuvTDTvGLVp00b2FStWyP7+++/Lftddd8n+xBNPyP7www8nWp8+feTYww47TPZ169bJXl5eLru3373eokUL2ZctW5ZoL7/8shx78MEHy37ooYfKPnPmTNknTJgge0FBgewrV65MtObNm8uxy5cvl/2CCy6Q3ZuTRowYIftll10m+5tvvploP/zhD+XYhg0byj5lyhTZ69WrJ7s3h3n78f7770+0P/3pT3LsVVddJbs3l6jHNjM76KCDZK9Tp47sd9xxh+yHHHJIonlz1f777y+7uueZ+cfDu3d069ZN9nnz5iWad++sXbu27E2aNJHdO0979Oghu7pmzPRz9eaefv36yf7Xv/5Vdu/a23PPPWXPy8uT3TvfV61alWhr1qyRY3NycmRX852Z2dq1a2U/8cQTZb/33ntl/93vfpdoTz31lBzrve7x5s0DDzxQdm+/l5SUyN63b99Emz17thw7ceJE2Rs0aJBR9+7Nr7zyiuxqPjXTrx8GDBggxz7wwAOyH3DAAbJ78+9+++2X0eNcf/31iXbkkUfKseo1rplZly5dZC8uLpZ948aNsntznhJCkH3p0qWyt2vXTnbvtbh3Pk6aNEn2ba+9EEJxjLHwq2N4BwsAAAAAUsICCwAAAABSwgILAAAAAFLCAgsAAAAAUsICCwAAAABSwgILAAAAAFLCAgsAAAAAUsICCwAAAABSwgILAAAAAFLCAgsAAAAAUsICCwAAAABSkr2jN8CTm5ubaLVq6fVg165dZf/kk09kb968uey1a9eWffXq1bK/8MILiVa/fn05dsSIEbL36dNH9vLyctmzs/UhO/nkk6s9/thjj5Vj+/btK/tDDz0k+9ixY2WfM2eO7L/61a9k33333WUfP358oj399NNybPfu3WVfsmSJ7DfffLPsF110kezeOfbggw8mmnee3nLLLbK3aNFC9l69esl+4403ZvQ4jRs3TrT27dvLsd5+2WuvvWT39u/WrVtl33///WWfPHmy7C1btpRdqVOnjuxXXXWV7N480KhRI9nr1q0r+4oVKxLthBNOkGPfffdd2Y866qiMPuevf/1r2b3jpM7Tfv36ybELFiyQPSsrS3bvvFu2bJnsb7zxhuwDBgxItM6dO8uxV155pext27aVfejQobLn5OTIXlhYKPvRRx8t+/HHH59oDRo0kGNHjx4tuze3P/HEE7L/9re/ld27htU1P2jQIDl2zJgxsj/77LOy/+AHP5Ddu6fcd999sv/+979PNO+e6l2nEydOlN279l555RXZvXvwqaeeKruaC739ePvtt8t+2WWXye65+uqrZb/wwgtlP+CAAxLNOwcaNmwou/e6ql69erJv2LBBds/bb7+daB06dJBjS0pKZFevH83MNm3aJLt3z66oqJB94MCBsvfo0SPRTjrpJDnWu0eUlZXJ7unfv7/s6libmZ1zzjmJ5t07V65cKbv32sR7/eS9hvauPfX4U6ZMkWNDCLJ7907vnCkoKJDde91WHRm/gxVCqBVC0HcOAAAAAPgPVq0FVgjhiRBCgxBCvplNN7OZIYRf1uymAQAAAMDOpbrvYHWNMX5pZiea2Vgz62Bmp9fURgEAAADAzqi6C6ycEEKOVS6wXowxZvZFogAAAADwH6C6C6z7zWyemeWb2cQQQjszW1dTGwUAAAAAO6PqLrDGxBgLYozHxBijmX1hZmfV4HYBAAAAwE6nugus/+9ns1Ytsp5Kf3MAAAAAYOe13d+DFULoYmbdzKxhCGHbH+bfwMz0L40CAAAAgP9QX/eLhvcys+PMrJGZbfvb6NabWfK3lW0jhFDbzCaaWV7V5xkdY7z2G28pAAAAAHzPbXeBFWP8u5n9PYRwcIzxvQwfu9TM+scYN1T9BMK3QwhjY4zvf9ONBQAAAIDvs1D57VRfM6jy3aifWeWXC/77SwNjjNX6QRchhLpm9raZnR9jnLydcV+/MQAAAACw4xXHGAu/Gqv7Qy4eNbPdzOwoM5tgZm2s8ssEtyuEkBVCmGZmy81svFpchRCGhxCKQghF1dwWAAAAAPhequ47WFNjjL1CCP+MMe5T9SV/k2KMB1Xrk4TQyMyeN7OLY4zTvXGFhYWxqKhynVVRUZH4+7feekt+3CGHHOJ9XtlXr14t+xNPPCH70KFDZS8uLk60Vq1aybGLFy+WvVu3brLXr19f9q1bt8p+zTXXyP7rX/860W655RY59rbbbpN9w4YNsteurX/OiTp2Zma5ubmyt27dWna1zx555BE59qc//anspaWlsk+YMEH2ww47TPZZs2bJ3r59+0TbvHmzHLts2TLZ27VrJ/vKlStlnzZtmuyHHnqo7Lfeemu1mpl/jfXr1092b/7wunf+rlmzRnZ1zrzyyity7ODBg2X/7LPPZPeuVW8bvefUsGHDRPPOuyZNmsg+adIk2ffbbz/ZvePnzQN33313ovXv31+Obdmypez16tWTvVYt/e903nWwaNEi2Tt27Jhob7/9thxbWJj4x0Iz88/frl27yt6sWTPZV61aJfuHH34o+1FHHZVoZWVlcuznn38ue69evWS//PLLZffOgYkTJ8rep0+fRPPm9saNG8vuXafeOTNmzBjZjzzySNkXLlyYaN6xO+KII2S/6aabZO/Zs6fs3v3K2zeZzG0bN26UYwsKCmQvKSmRvUGDBrJPnTpVdu9cuvfeexPtggsuyGhbvO7tL+/c8ObI995LfjeK9xrPm2Pq1q0re1ZWlux5eXmyr1ixQvZBgwbJrl5Drl+v34vwttHbli1btsg+b968jB5/jz32SDTvXlheXi77qFGjZB82bJjs++67r+zefKrOd+/1vHcOePvRu95zcnJk9873/Pz8bbftW72D9a87xdoQQncza2hmLar5sRZjXGtmb5rZ0dX9GAAAAADY2VR3gfXnEEJjM7vGzF40s5lm9tvtfUAIoXnVO1cWQqhjZkea2cfffFMBAAAA4Pvt635Mu5mZxRj/9X7gBDNLvr+otTKzR0IIWVa5kHsmxvhS5psIAAAAADuHai2wQggtzewmM2sdYxwYQuhqZgfHGB/0PibG+E8z018IDAAAAAC7oOp+ieDDZvaqmf3rpxHMMbNLa2B7AAAAAGCnVd0FVrMY4zNmttXMLMZYbmb6R3EAAAAAwH+o6i6wNoYQmppZNDMLIRxkZutqbKsAAAAAYCdUre/BMrMRVvnTA/cIIbxjZs3N7OQa2yoAAAAA2AlVd4E10yp/UfAmM1tvZi9Y5fdhAQAAAACqVPdLBP9qZl2s8icJ3m1mnc3s0ZraKAAAAADYGYUY49cPCmFmjLHr17Vvq7CwMBYVFZmZ2WeffZb4+yZNmsiP+8c//iF7s2bNZN9zzz1lLykpkV1ti5lZp06dEm38+PFy7KBBg2T3hBBk37Jli+ybNm2SPT8/P9FWrFghx86bN0/2Pn36yD527FjZO3ToILunS5cusmdlZSVaaWmpHJuXlyf7559/Lnu7du1knzZtmuw9evSQPScnJ9HWr18vx27cuFH2dev0tzOq529mtvvuu8s+ceJE2Q8//PBE88519XzM/G1//fXXZT/wwANlnzVrluwDBgyQfebMmYnmHYsZM2bI3rWrnqa869rbv59++mm1H9+bV9euXSu7d/5645s2bZrR45SVlSWad57WqVNH9q1bt8runTMLFiyQ3Zt/Fy5cmGgtWrSQY1evXi37brvtJrt3/nrzpndNtmzZUnY1X69cuVKObdOmjexLliyRvXnz5rKrY2qm53wzs08++STR6tatK8d652+rVq1k956rd55658YeeyR/zaaaA8z8/bJs2TLZvdcD5eXlsnv3Se8aa9SoUaJ514a3X7w5Xx07M/9a8uYqNX7+/PlyrLdfvGvA2/bsbP2FUsuXL6/24y9dulSOrajQP2utffv2snvH1DtO3uswb15u0KBBonn7xVOvXj3ZvWuyVi39PsnmzZtl985fxZvzPd5z9faj95zU3Oadj9585227t7+8+dR7nNq1a//7v0MIxTHGwsTnkh+ZNKXqB1v868EONLOian4sAAAAAPxH2O73YIUQPrLKnxyYY2bvhhC+qPpzOzP7uOY3DwAAAAB2Hl/3Qy6O+062AgAAAAB2AdtdYMUY9RfnAgAAAAASqvs9WAAAAACAr8ECCwAAAABSwgILAAAAAFLCAgsAAAAAUsICCwAAAABSwgILAAAAAFLCAgsAAAAAUvJ1v2h4h5kyZUqiHXjggXJss2bNZC8vL5d99OjRsl9xxRWy/+Y3v5F92LBhiXbTTTfJsXXr1pX9zjvvlP3HP/6x7B988IHsjz/+uOxNmjRJtF69esmxnTp1kj0nJ0f23/72txk9TllZmex33XWX7HPnzk209957T469/PLLZfe2vXfv3rLff//9st9yyy2yn3zyyYnWrVu3ao81M3v++edl37hxo+xdunSR/Z577pH9nHPOSbQhQ4bIsd555O2vHj16yD5r1izZ8/PzZVfnqZnZuHHjEs27Hps2bSr7rbfeKvu5554r++rVq2X/9NNPZY8xJtrkyZPl2H333Vf2447Tv9P9hhtukN2bwx566CHZCwoKEm327NlyrHeNeedArVr63+mmTZsm+yWXXCL7WWedlWhnnHGGHPvggw/KPnPmTNkHDx4s++LFi2XPy8vLqM+ZMyfRateuLcdeeeWVst9+++2yt2vXTnZv3jjkkENkf/XVVxPNO6be9TtgwADZn3nmGdk7duwo+8cffyx7dnbyJck///lPOfa8886T/Sc/+Ynsbdu2lb20tDSj8Z999pnsM2bMSLQjjjhCjl20aJHsn3zyieze/Ni8eXPZ3377bdl79uyZaMcee6wce/HFF8vu7S/vWtqyZYvs3uuBs88+O9FuvPFGOda7v7/11luyt2zZUvYQguybNm2S/dlnn5X96KOPTrTDDz9cjn3jjTdk32effWRfv3697BUVFbJ7156af0499VQ51rsGOnfuLLv3umLMmDGyn3766bKr19abN2+WY3Nzc2V/+eWXZVf3QjN9bZiZ9e/fX/YlS5bIvi3ewQIAAACAlLDAAgAAAICUsMACAAAAgJSwwAIAAACAlLDAAgAAAICUsMACAAAAgJSwwAIAAACAlLDAAgAAAICUsMACAAAAgJSwwAIAAACAlLDAAgAAAICUZO/oDfC88MILida+fXs5tmvXrrJv2rRJ9k6dOsn+9NNPy/6Tn/xE9g8//DDRevbsKceOHj06o21ZsmSJ7Hvvvbfsffr0kf20005LtHvuuUeOPeWUU2QfPny47Oedd57sdevWlb20tFT2zp07y37BBRckmrcfjzvuONlr164t+6JFi2T39mO9evVkb9SoUaLVr19fjj3//PNl79ixo+xLly6V/YEHHpD9kEMOkb2goCDRunXrJsd+9tlnsg8bNkz2VatWyb5582bZy8rKZH/22WdlP+iggxItNzdXjm3WrJnsX3zxhex77bWX7NOmTZO9b9++si9fvjzRBg4cKMfOmzdP9ptvvln2/v37y75w4ULZP/30U9mffPLJRMvO1tO/2udm/n5v0qSJ7C1btpQ9hCD7UUcdlWhz586VY7ds2SL7P/7xD9mbN28ue8OGDWUvKSmRvby8XPb9998/0TZs2CDHeueGty3eudG7d2/Zb7zxRtlbtWqVaHl5eXJsjx49ZB88eHBG488991zZGzRoIPvf/va3RPPmXm8OU+eRmdnUqVNl79Wrl+zTp0+X3bvHq3uzd814/YADDpDdu1b/+Mc/yu7dU9Q84O1f79z48ssvZe/QoYPs3vXu9aFDhyaat43t2rWT3ZvDvdeQ3ustb24bMmSI7G3btk20xx57TI715lnvHuzNYd5cePvtt8t+5plnJtqCBQvk2Dp16sj+0EMPyT5gwADZvXund+3NmjUr0bzXN9555L1ub9GihezePXXSpEmyVwfvYAEAAABASlhgAQAAAEBKWGABAAAAQEpYYAEAAABASlhgAQAAAEBKWGABAAAAQEpYYAEAAABASlhgAQAAAEBKamyBFULYPYTwZghhZghhRgjhkpr6XAAAAADwfaB/PXg6ys3sFzHGKSGE+mZWHEIYH2OcWYOfEwAAAAB2mBBj/G4+UQh/N7N7YozjtzPmu9kYAAAAAPh2imOMhV+NNfkO1r+FENqbWS8zmyz+briZDf8utgMAAAAAalKNv4MVQqhnZhPM7MYY43PbG1tYWBiLiorMzGzLli2Jv8/KypIfl5OTI3utWvpbzLZu3Sr7McccI/vLL78s+4YNGxKtXr16cuzy5ctl79Spk+zr1q2T3dO5c2fZ58yZk2hlZWVyrLcf//rXv8r+wAMPyD5p0iTZPfn5+bJv3Lgx0davXy/H1q9fX/a8vDzZ165dK3udOnVkDyHInsn1o85pM7Pc3NxqP4aZ2bJly2Rv06aN7Oo6KC0tzeixW7ZsWc2t+2a+/PJL2Rs0aFCttr3H8K69Fi1aVHPrKmU6n2Ri06ZNsnvXhjcXetS15F0bafHOmeLiYtnbtWuXaMcff7wc+/zzz8uu5mQzf172ZGfrf3v0rveKiopE8+YMbxu9Y33cccfJ/tJLL8k+f/582dX+zVSm8++jjz4q++mnny77ihUrEq158+Zy7AknnCD7K6+8Irt3f/OuvUypx/futZnyziVvHvfuKQUFBYnmzaezZs2SPa150HtOS5cuTTRvLvEew5sf1XVqltl93Mzfv+oe/9hjj8mxQ4cOzehzZsp7Tmpu8/aLt39bt24t++LFi2X3roNmzZrJ7r0+U9J4bbY93vyz7euKEIJ8B6tGf4pgCCHHzJ41s8e/bnEFAAAAADu7mvwpgsHMHjSzWTHG22vq8wAAAADA90VNvoPV18xON7P+IYRpVf/TX4MHAAAAALuAGvshFzHGt81Mf3EkAAAAAOyCavR7sAAAAADgPwkLLAAAAABICQssAAAAAEgJCywAAAAASAkLLAAAAABICQssAAAAAEhJjf2Y9m+roqIi0XJycuTY8vLyjB77uuuuk33kyJGye583Pz8/0b788ks5duDAgbIvW7ZMdk92tj5kWVlZsm/durXaY9U+NzObPn267BMmTJA9U1u2bJFdPVe1z838ba/8fddJbdu2lX3lypWye+dY48aNE83bv/Xr15fde/7q2JmZNW/eXHbv3Nu4cWOiNWnSRI7N9NyoVUv/G4033ntOXbp0kX3Dhg3V/py1a9eWPdPn5B2P3Nxc2dU55p133vNv2bKl7GVlZbLHGKu9LWZmixcvTrRM501vf3lzkvdc8/LyZC8tLU20kpISOdabk71zYNOmTRmNz/T8VeeYd4y888j7nB7vWHvPVT2+9xjetjdq1Eh2b7889NBDsqtjbWZ21llnJZo3r3n3Am9+UPOgmX8OeI+Tyfzg7RfvsT3ePODdx7xzaenSpYm22267ybHeuZGpTO8d6trO9P7unb+33Xab7FdccYXs3hzpzUt169ZNtBUrVsix3rnh8Z6TZ8mSJbKray/T+4k6j8z8+9hbb70lu7ovmel94903vPMok7l6e9auXZvR+G3xDhYAAAAApIQFFgAAAACkhAUWAAAAAKSEBRYAAAAApIQFFgAAAACkhAUWAAAAAKSEBRYAAAAApIQFFgAAAACkhAUWAAAAAKSEBRYAAAAApIQFFgAAAACkJMQYd/Q2/FthYWEsKioyMzO1XeXl5fLjSkpKZM/JyZF948aNst99992yn3feebLXr18/0crKyjLaljVr1sjerFkz2T3nnHOO7Pfff3+iZWdny7FbtmyR/d5775V96NChsrds2VL2iooK2RcsWCB7QUFBonnbnpWVJfuXX36Z0fjp06fL/sUXX8h+zDHHJFpubq4cW1xcLHu3bt1kX7duneytWrWS3bsOVqxYkWgNGjSQYxctWiS7dz5u2rRJdnVtmJktWbJE9t133112dZxmzZolxx5wwAGye+eAN5+sX78+o77HHnskmjfH1KtXT3Zv3vA+p3dutGnTRvYQQqKp88LMP39r166d0Xhvzqtbt67sU6ZMSbSRI0fKsY8++qjs+fn5si9btkx271raunWr7LVq6X+TVM/VO0+9633hwoWyv/baa7IPGzZM9p49e8r+4YcfJpp37NauXSt7w4YNZV+5cqXs7dq1k33Dhg2yq/nde+xRo0bJfumll8r+j3/8Q/aOHTvK7l2r3mumjz/+ONG863H58uWye/Ny48aNZfeuJe/+pu7lZ5xxhhzrXQPe3O69lmnUqJHs3j5o0aJFonlzlXfNdO/eXXY1D5qZrV69WnbvHPDutWqOHDBggBz73HPPye7dl5o3by67d49Qr5/MzGbOnJlo3jGaO3eu7E888YTsgwcPlv2HP/yh7N7rh9GjRydap06d5NjS0lLZ1Xlk5l+Ts2fPlt37vNvOhSGE4hhj4VfH8A4WAAAAAKSEBRYAAAAApIQFFgAAAACkhAUWAAAAAKSEBRYAAAAApIQFFgAAAACkhAUWAAAAAKSEBRYAAAAApIQFFgAAAACkhAUWAAAAAKSEBRYAAAAApCR7R2+A53//938T7aWXXpJjV6xYIfvmzZtl32effWS/4YYbZF+7dq3sPXv2TLTS0lI59vPPP5f9o48+kv2EE06QvVOnTrI///zzsh911FGJ1qNHDzl21qxZsg8cOFD2Dh06yH7mmWfKfvzxx8t+6aWXyn7rrbcm2r777ivHvvvuu7Lfeeedsp900kmy9+/fX3bvXJozZ06i/fGPf5Rj99tvP9nfeecd2du0aSN769atZb/yyitlLykpSbTzzz9fjj3nnHNk9669hQsXyl5QUCD7pEmTZN9///1lf/PNNxNt3LhxcuxNN90ke58+fWSvW7eu7KtXr5Z95MiRsv/hD39ItOeee06O7d27t+y9evWSfcKECbJ713vDhg1lf/jhhxPtySeflGOnT58ue05OjuyDBg2S/cYbb8yoq+tm/fr1cuxjjz0mu3f9du3aVfaLLrpI9hEjRsh+3nnnyX7YYYcl2po1a+TYE088UfYGDRrIfsEFF8geQpDde07q2tttt93k2OLiYtm967Rbt26yq7nHzGzatGmyL168ONHatm0rx6r7g5l/j/zNb34je9++fWVv2rSp7L/4xS9kv/jii6v92N69Uz1/M/9Y/+hHP5J99913l/36669PtOuuu06OPfXUU2X/+OOPZT/rrLNkf/3112Vv0qSJ7EOHDk20/Px8Ofauu+6Sff78+bJ792Dv8Zs3by67N/+cdtppiebda1u1aiX7vffeK7u3v+bNmyd7WVmZ7Or1snfvXLp0qey5ubmyf/rpp7LHGGV///33Zf/ggw8SzXsd/tprr8nunY/e/ce7Zr744gvZH3/8cdm3xTtYAAAAAJASFlgAAAAAkBIWWAAAAACQEhZYAAAAAJASFlgAAAAAkBIWWAAAAACQEhZYAAAAAJCSGltghRD+EkJYHkLQv1QFAAAAAHYxNfkO1sNmdnQNPj4AAAAAfK/U2AIrxjjRzFbX1OMDAAAAwPdNiDHW3IOH0N7MXooxdq/m+JrbGAAAAABIT3GMsfCrMXtHbMm2QgjDzWx41R83mNnsHbg5SEczM1u5ozcCqeKY7no4prsmjuuuh2O66+GY7jraqfi9egcLu4YQQpFazWPnxTHd9XBMd00c110Px3TXwzHd9fFj2gEAAAAgJTX5Y9qfNLP3zGyvEMLCEMLPaupzAQAAAMD3QY19D1aM8cc19dj43vvzjt4ApI5juuvhmO6aOK67Ho7prodjuour0e/BAgAAAID/JHwPFgAAAACkhAUWvrEQwu4hhDdDCDNDCDNCCJdU9SYhhPEhhLlV/994R28rMhNCyAohTA0hvFT15w4hhMkhhE9CCE+HEHJ39DYiMyGERiGE0SGEj0MIs0IIB3Ot7txCCJdVzb3TQwhPhhBqc63ufEIIfwkhLA8hTN+myWszVPpD1fH9Zwih947bcnicY/q7qvn3nyGE50MIjbb5u5FVx3R2COGoHbLRSBULLHwb5Wb2ixhjVzM7yMwuDCF0NbOrzOz1GGMnM3u96s/YuVxiZrO2+fOtZnZHjLGjma0xM35ozc7nLjMbF2PsYmb7WuXx5VrdSYUQCszs52ZWWPWrULLM7FTjWt0ZPWxmR3+ledfmQDPrVPW/4Wb2x+9oG5GZhy15TMebWfcY4z5mNsfMRpqZVb1uOtXMulV9zH0hhKzvblNRE1hg4RuLMS6JMU6p+u/1VvmCrcDMTjCzR6qGPWJmJ+6QDcQ3EkJoY2bHmtmoqj8HM+tvZqOrhnBMdzIhhIZmdqiZPWhmFmPcEmNca1yrO7tsM6sTQsg2s7pmtsS4Vnc6McaJZrb6K9m7Nk8ws7/GSu+bWaMQQqvvZENRbeqYxhhfizGWV/3xfTNrU/XfJ5jZUzHG0hjj52b2iZkd8J1tLGoECyykouqXSvcys8lm1jLGuKTqr5aaWcsdtV34Ru40syvMbGvVn5ua2dptbgwLrXIhjZ1HBzNbYWYPVX3p56gQQr5xre60YoyLzOw2M/vCKhdW68ys2LhWdxXetVlgZgu2Gccx3jmdZWZjq/6bY7oLYoGFby2EUM/MnjWzS2OMX277d7Hyx1Tyoyp3EiGE48xseYyxeEdvC1KVbWa9zeyPMcZeZrbRvvLlgFyrO5eq78k5wSoXz63NLN+SX5KEXQDX5q4lhPArq/wWi8d39Lag5rDAwrcSQsixysXV4zHG56rysn99yULV/y/fUduHjPU1s+NDCPPM7Cmr/HKju6zyy1D+9Xvz2pjZoh2zefiGFprZwhjj5Ko/j7bKBRfX6s7rCDP7PMa4IsZYZmbPWeX1y7W6a/CuzUVmtvs24zjGO5EQwhlmdpyZnRb/7/ckcUx3QSyw8I1VfW/Og2Y2K8Z4+zZ/9aKZ/bTqv39qZn//rrcN30yMcWSMsU2Msb1VftPtGzHG08zsTTM7uWoYx3QnE2NcamYLQgh7VaUBZjbTuFZ3Zl+Y2UEhhLpVc/G/jinX6q7BuzZfNLNhVT9N8CAzW7fNlxLieyyEcLRVfvn98THGTdv81YtmdmoIIS+E0MEqf4DJBztiG5EeftEwvrEQwg/MbJKZfWT/9/06V1vl92E9Y2ZtzWy+mZ0SY/zqN/Diey6EcLiZXR5jPC6EsIdVvqPVxMymmtnQGGPpDtw8ZCiE0NMqf3BJrpl9ZmZnWuU/snGt7qRCCP9jZkOs8suNpprZ2Vb5vRtcqzuREMKTZna4mTUzs2Vmdq2ZvWDi2qxaTN9jlV8OusnMzowxFu2AzcZ2OMd0pJnlmdmqqmHvxxjPqxr/K6v8vqxyq/x2i7FffUzsXFhgAQAAAEBK+BJBAAAAAEgJCywAAAAASAkLLAAAAABICQssAAAAAEgJCywAAAAASAkLLAAAAABICQssAAAAAEgJCywAAAAASMn/A+AGLlA6rncjAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot feature map\n", "plt.figure(figsize=(12,6))\n", "ax1 = plt.subplot(211)\n", "display.map_show(map_acce, ax=ax1, n_tatums=n_tatums)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This feature map representation enables the inspection of the patterns evolution over time, as well as their similarities and differences, in a very informative way. Note that if a certain tatum pulse is articulated for several consecutive bars, it will be shown as a dark horizontal line in the map. Conversely, changes in repetitive patterns are readily distinguishable as variations in the distribution of feature values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4) Group rhythmic patterns into clusters\n", "\n", "Next, we'll group rhythmic patterns into clusters to aid the analysis of their differences and similarities. This is done using the classical [K-means](https://en.wikipedia.org/wiki/K-means_clustering) method with [Euclidean distance](https://en.wikipedia.org/wiki/Euclidean_distance) (but other clustering methods and distance measures can be used too). The number of clusters `n_clusters` has to be specified as an input parameter." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# set the number of clusters to look for\n", "n_clusters = 4\n", "\n", "# clustering of rhythmic patterns\n", "cluster_labs, centroids, _ = clustering.rhythmic_patterns(map_acce, n_clusters=n_clusters)\n", "\n", "plt.figure(figsize=(12,6))\n", "# plot feature map\n", "ax1 = plt.subplot(211)\n", "display.map_show(map_acce, ax=ax1, n_tatums=n_tatums)\n", "# plot feature map with clusters in colors\n", "ax2 = plt.subplot(212)\n", "display.map_show(map_acce, ax=ax2, n_tatums=n_tatums, clusters=cluster_labs)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can consider the centroids of each cluster as a representative rhythmic pattern of the group, as shown below." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot cluster centroids\n", "fig = plt.figure(figsize=(8,8))\n", "display.centroids_plot(centroids, n_tatums=n_tatums)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can listen to a pattern of each kind using the code below.\n", "\n", "**Note:** This example is tailored towards the rhythmic patterns of the **lowest sounding** of the three drum types taking part in the recording, so the analysis focuses on the **low frequencies**. You may need headphones to listen to the low frequencies. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# rhythmic pattern number for patterns of each kind\n", "ind1, ind2, ind3, ind4 = 4, 5, 6, 8\n", "\n", "# audio segments for each pattern\n", "y1 = util.beat2signal(y, time, downbeats, ind1-1)\n", "y2 = util.beat2signal(y, time, downbeats, ind2-1)\n", "y3 = util.beat2signal(y, time, downbeats, ind3-1)\n", "y4 = util.beat2signal(y, time, downbeats, ind4-1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio(y1, rate=sr)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio(y2, rate=sr)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio(y3, rate=sr)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ipd.Audio(y4, rate=sr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5) Low-dimensional representation of the patterns\n", "\n", "For visualization purposes, the patterns are mapped to a low dimensional space. This representation can be useful to select the number of clusters, or to spot outliers. There are several approaches for dimensionality reduction among which isometric mapping, [Isomap](https://en.wikipedia.org/wiki/Isomap), was selected (other embedding methods can be also applied). Isomap is preferred since it is capable of keeping the levels of similarity among the original patterns after being mapped to the lower dimensional space. Besides, it allows the projection of new patterns onto the low-dimensional space." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# number of dimensions to map on\n", "n_dims = 3\n", "\n", "# manifold learning for dimensionality reduction\n", "map_emb = clustering.manifold_learning(map_acce, method='isomap', n_components=n_dims)\n", "\n", "# plot low-dimensional embedding of feature data\n", "fig = plt.figure(figsize=(10, 8))\n", "# NOTE: 3D plots need Axes3D from mpl_toolkits.mplot3d \n", "ax3 = fig.add_subplot(111, projection='3d')\n", "display.embedding_plot(map_emb, ax=ax3, clusters=cluster_labs, s=30)\n", "\n", "plt.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 1 }