{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "Following Section 1.3.2 of [Müller, FMP, Springer 2015], we cover in this notebook the relation between frequency and pitch. \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sinusoids\n", "\n", "A sound wave can be visually represented by a [waveform](../C1/C1S3_Waveform.html). If the points of high and low air pressure repeat in an alternating and regular fashion, the resulting waveform is called **periodic**. In this case, the *period* of the wave is defined as the time required to complete a cycle. The **frequency**, measured in **Hertz** (Hz), is the reciprocal of the period. The simplest type of periodic waveform is a **sinusoid**, which is completely specified by its **frequency**, its **amplitude** (the peak deviation of the sinusoid from its mean), and its **phase** (determining where in its cycle the sinusoid is at time zero). The following figure shows a sinusoid with frequency $4~\\mathrm{Hz}$.\n", "\n", "![]() | \n",
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