Schottenbauer Publishing

Showing posts with label series. Show all posts
Showing posts with label series. Show all posts

Sunday, April 5, 2015

Understanding the Harmonic Overtone Series

The harmonic overtone series describes the science of the relationship between notes in the Western harmonic system. Harmonics are most obvious on string instruments, brass instruments, and the flute, which easily demonstrate the relationship between the lowest note, the octave above, and the perfect fifth above the octave, plus many of the other harmonic overtones in the series.



Did you know that harmonics are present in all naturally-produced notes, sounding softly in addition to the fundamental tone? It is not obvious to many listeners. A free YouTube video from the publisher, Introduction to the Harmonic Overtone Series demonstrates harmonic overtones on several instruments. A mathematical expression of the combination of harmonics is presented in graphical form in the appendices of Where Does Sound Come From? Volumes 1, 3, & 4. A mathematical analysis of several prominent tuning systems is included in the appendices of Where Does Sound Come From? Volume 2. 


Additional Information

Tuesday, September 23, 2014

The Science of the Harmonic Overtone Series

The harmonic overtone series is a basic concept in music education which explains how many musical instruments function. It is easiest to explain the harmonic overtone series with science and math. New teaching tools from Schottenbauer Publishing offer students a refreshing insight into the working of the harmonic overtone series. 

The graphs below are excerpted from Volume 1 of Where Does Sound Come From?, as well as a free pamphlet from the publisher. These graphs show graphs of sound pressure from two notes performed on a soprano recorder.



Discussion Questions
  1. Describe at least 2 differences between these two graphs.
  2. What types of information are contained in each graph?
  3. If possible, identify the frequency, wavelength, and/or amplitude of the wave in each graph.
  4. Is it possible to determine the pitch of the note from either graph? If so, how?
  5. Is it possible to determine the sound level (decibels) of the note from either graph? If so, how?
  6. Are these two graphs related in the harmonic overtone series? If so, how?
  7. Write a mathematical equation to describe the wave pattern in the bottom graph.

In addition to these graphs, a free YouTube video from the same publisher provides a brief lecture, as well as samples of the harmonic overtone series on flute, trumpet, trombone, and violin. 

Students may learn more about the harmonic overtone series in a multimedia training program titled Ear Training: Harmonic Overtone Series. Additional information is available on the Music Theory & Ear Training blog.

Additional graphs on the science of music and music performance can be found in a free pamphlet from the publisher, and the following book series by M. Schottenbauer, Ph.D. The books below contain data from common band and orchestral instruments, plus recorders, keyboard, voice, and conducting.