Harmony Simplified, Or the Theory of the Tonal Functions of Chords (Classic Reprint)

Book excerpt: Excerpt from Harmony Simplified, or the Theory of the Tonal Functions of Chords If, conversely, we start with a higher note, e.g., thrice-accented e and try to find those easily understood notes which lie below c', then doubling the length of the string will have to take the place Of halving, i.e., if we take the length of e3 as I, the note which corresponds to twice the length of the string (2) will be the under-octave of e3, therefore e'; a' will correspond to three times the length, e' to four times, c' to five times, and a to six times the length of the string in notes. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.