{
"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": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"255.0 260.0 5.0\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f1, f2 = v.children\n",
"f1.value = 255\n",
"f2.value = 260\n",
"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
}