{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "In this notebook, we cover aspects of transposition and tuning following Section 3.1.2.2, Section 3.1.2.1, Exercise 3.5, and Exercise 3.6 of [Müller, FMP, Springer 2015].\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transposition\n", "\n", "In music one often shifts a melody or an entire piece of music to another key—a concept that is referred to as **transposition**. Such modifications are often applied to adapt the pitch range of a given piece to a different instrument or singer. Technically speaking, a transposition refers to the process of moving a collection of notes up or down in pitch by a constant interval. For example, shifting the notes of a $\\mathrm{C}$-major scale 4 semitones upwards, one obtains the E-major scale.\n", "\n", "\n", "\n", "\n", " | \n", " | \n", " | \n", " | \n", " | \n", " | \n", " | \n", " | \n", " |