{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from matplotlib.pyplot import xlabel, ylabel, plot, legend, title, rcParams\n", "from numpy import arange, cos, pi, zeros" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "rcParams['figure.figsize'] = (10.0, 4.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Octaves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start with a simple plot: the central A frequency at 440 Hz." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.2727272727272725" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f = 440.\n", "T = 1/f\n", "T * 1000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the sound wave oscillates at a frequency of 440 Hz, every oscillation takes 2.27 ms." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'amplitude of sound wave')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t = arange(0, 10e-3, 1 / 100. / f)\n", "plot(t*1e3, cos(2 * pi * f * t))\n", "xlabel(\"time (ms)\")\n", "ylabel(\"amplitude of sound wave\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if we plot the octave frequency? This looks like this." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t = arange(0, 10e-3, 1 / 100. / f)\n", "plot(t*1e3, cos(2 * pi * f * t), label='A 440 Hz')\n", "plot(t*1e3, cos(2 * pi * 2 * f * t), label='octave of A 440 Hz')\n", "xlabel(\"time (ms)\")\n", "ylabel(\"amplitude of sound wave\")\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But of course, our ear perceives both contributions together. So the signal our ear hears is the following:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Fundamental and octave together')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s1 = cos(2 * pi * f * t)\n", "s2 = cos(2 * pi * 2 * f * t)\n", "plot(t * 1e3, s1 + s2)\n", "xlabel(\"time (ms)\")\n", "ylabel(\"amplitude of sound wave\")\n", "title(\"Fundamental and octave together\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can extend this reasoning and plot what it looks like when we have all the harmonics of a frequency together up to order $n$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def octave(f, n, t):\n", " s = zeros(t.shape)\n", " for i in range(1, n + 1):\n", " s += cos(2 * pi * i * f * t)\n", " return s / s.max() " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(t * 1e3, octave(f, 1, t), label='fundamental frequency')\n", "plot(t * 1e3, octave(f, 20, t), label='fundamental and 20 harmonics')\n", "xlabel(\"time (ms)\")\n", "ylabel(\"amplitude of sound wave\")\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What we see in the plot above is that the more harmonics we put in the signal, the narrower the location of the maximum amplitude gets. It feels intuitive that the ear has an easier time to identify fundamental frequencies using this \"narrower\" information." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fifths" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fifth of A (E) has a frequency that's 1.5 times higher than A. Let's plot them together." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(t * 1e3, octave(f, 1, t), label='fundamental')\n", "plot(t * 1e3, octave(f * 1.5, 1, t), label='fifth')\n", "xlabel(\"time (ms)\")\n", "ylabel(\"amplitude of sound wave\")\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to the 3/2 frequency ratio, the fifth only sums every three oscillations with every second oscillation of the fundamental frequency.\n", "But what does the waveform our ear listens to look like? Answer below:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(t * 1e3, octave(f, 1, t) + octave(f * 1.5, 1, t), label='fundamental and fifth together')\n", "xlabel(\"time (ms)\")\n", "ylabel(\"amplitude of sound wave\")\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How does this compare to the octave interval?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(t * 1e3, octave(f, 2, t), label='fundamental and octave together')\n", "xlabel(\"time (ms)\")\n", "ylabel(\"amplitude of sound wave\")\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As one can see, the fundamental and octave have minima between the repetitions of the main frequency while the fundamental fifth interval has intermediate maxima.\n", "But does this hold true if we plot octaves of both the fundamental and the fifth?" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot(t * 1e3, 0.5 * (octave(f, 10, t) + octave(f * 1.5, 10, t)), label='fundamental and fifth together')\n", "plot(t * 1e3, octave(f, 10, t), label='fundamental octaves together')\n", "xlabel(\"time (ms)\")\n", "ylabel(\"amplitude of sound wave\")\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#To-do list\n", "\n", "- examine beatings\n", "- record guitar sound and post analysis of that sound\n", "- apply STFT, Gabor transform and spectrogram from [http://en.wikipedia.org/wiki/Time%E2%80%93frequency_analysis_for_music_signals](http://en.wikipedia.org/wiki/Time%E2%80%93frequency_analysis_for_music_signals)" ] } ], "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": "3.6.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }