{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exploring Beat Frequencies using the `Audio` Object" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example uses the `Audio` object and Matplotlib to explore the phenomenon of beat frequencies." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" ] } ], "source": [ "from ipywidgets import interactive\n", "from IPython.display import Audio, display\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def beat_freq(f1=220.0, f2=224.0):\n", " max_time = 3\n", " rate = 8000\n", " times = np.linspace(0,max_time,rate*max_time)\n", " signal = np.sin(2*np.pi*f1*times) + np.sin(2*np.pi*f2*times)\n", " print(f1, f2, abs(f1-f2))\n", " display(Audio(data=signal, rate=rate))\n", " return signal" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "220.0 224.0 4.0\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "v = interactive(beat_freq, f1=(200.0,300.0), f2=(200.0,300.0))\n", "display(v)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{'f1': 220.0, 'f2': 224.0}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v.kwargs" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": 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"plt.plot(v.result[0:6000])" ] } ], "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }