Pure tones contain energy at exactly one frequency. This is why frequency spectra for pure tones are sometimes called line spectra. A pure tone can be characterized by its frequency, amplitude, and phase.
This script generates a pure tone at a given level, sampling rate, duration, and frequency. Signal parameters can be adjusted as needed.
# import libraries
import pyaudio
import numpy as np
from matplotlib import pyplot as plt
from scipy.io.wavfile import write
p = pyaudio.PyAudio()
# define signal parameters
mag_in_dB = -10 # magnitude, range = [-74, 0], so when mag = 0, A = 1
# ydb = 20 log10(y), where y = mag; y is I1/I2
amplitude = 10.0 ** ((mag_in_dB)/20.0) #convert mag_in_dB to mag, so volume = mag, range = [-1,1]
fs = 44100 # sampling rate, Hz, must be integer
duration = 1 # in seconds, may be float
f = 1000 # sine frequency, Hz, may be float
# generate range of samples
sig_sample = np.arange(fs*duration)*(f/fs)
# take sine wave of generated samples and convert to float32 array
samples = (np.sin(2*np.pi*sig_sample)).astype(np.float32)
# listen to the samples
stream = p.open(format=pyaudio.paFloat32,
channels=1,
rate=fs,
output=True)
stream.stop_stream()
stream.close()
p.terminate()
# plot signal
plt.plot(samples)
plt.title('signal')
plt.show()
# write samples to .wav file
write('tone.wav', fs, samples*amplitude)