{ "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": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from IPython.html.widgets import interactive\n", "from IPython.display import Audio, display\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 11, "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": 12, "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": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{u'f1': 220.0, u'f2': 224.0}" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v.kwargs" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(255.0, 260.0, 5.0)\n" ] }, { "data": { "text/html": [ 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