{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "Following Section 6.2.1 of [Müller, FMP, Springer 2015], we introduce in this noteook the concepts of beat and tempo. \n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Notions and Assumptions\n", "\n", "Temporal and structural regularities are perhaps the most important incentives for people to get involved and to interact with music. It is the **beat** that drives music forward and provides the temporal framework of a piece of music. Intuitively, the beat corresponds to the pulse a human taps along when listening to music. The beat is often described as a sequence of perceived pulse positions, which are typically equally spaced in time and specified by two parameters: the **phase** and the **period**. The term **tempo** refers to the rate of the pulse and is given by the reciprocal of the beat period. The following figure illustrates these notions using the beginning of \"Another one bites the dust\" by Queen.\n", "\n", "\n", "\n", "\n", " | \n", " | \n", " | \n", " | \n", " | \n", " | \n", " | \n", " | \n", " |