#!/usr/bin/env python
# coding: utf-8

# # Exploring Beat Frequencies using the `Audio` Object

# This example uses the `Audio` object and Matplotlib to explore the phenomenon of beat frequencies.

# In[1]:


get_ipython().run_line_magic('matplotlib', 'inline')
import matplotlib.pyplot as plt
import numpy as np


# In[2]:


from ipywidgets import interactive
from IPython.display import Audio, display
import numpy as np


# In[3]:


def beat_freq(f1=220.0, f2=224.0):
    max_time = 3
    rate = 8000
    times = np.linspace(0,max_time,rate*max_time)
    signal = np.sin(2*np.pi*f1*times) + np.sin(2*np.pi*f2*times)
    print(f1, f2, abs(f1-f2))
    display(Audio(data=signal, rate=rate))
    return signal


# In[4]:


v = interactive(beat_freq, f1=(200.0,300.0), f2=(200.0,300.0))
display(v)


# In[5]:


v.kwargs


# In[6]:


f1, f2 = v.children
f1.value = 255
f2.value = 260
plt.plot(v.result[0:6000])