The downloadable interactive java simulation displays the sum of harmonics through a Fourier series to yield a new wave.

This resource examines how to determine the maximum speed of an oscillating system. It discusses how the concept of law of energy can be applied in solving these types of problems.

In this unit, students will discover the period of time of one oscillation, the frequency of oscillation, the object displacement, its velocity, and its acceleration. They will also discover how to apply the principles of conservation of...

This resource defines the Harmonic Series and gives a proof of its divergence.

For musical instruments and other objects that vibrate in regular and periodic fashion, the harmonic frequencies are related to each other by simple whole number ratios. Students learn why these whole number ratios exist for a musical...

By the end of this section, you will be able to compare and discuss underdamped and overdamped oscillating systems and explain critically damped systems.

This MathWorld site provides a general overview of the harmonic series.

Based off of the hit television show NUMB3RS, this lesson exposes students to a different type of average, the harmonic mean. Although it is briefly reviewed in the lesson, students are expected to already be familiar with arithmetic and...

A reference page that includes content and an animation to explain standing waves, nodes, and harmonics.

A reference page that includes content and an animation to explain standing waves, nodes, and harmonics.

A reference page that includes content and an animation to explain standing waves, nodes, and harmonics.

A reference page that includes content and an animation to explain standing waves, nodes, and harmonics.

In this informational text, Katherine Harmon discusses the effects that head injuries can have on the teenage brain. As you read, take notes on what happens to an athlete as a result of a head injury and the additional effect it can have...

Use your knowledge of simple harmonic oscillator to analyze energy from experimental data with these practice problems.

In this activity, students learn about the differential equations used to model the simple harmonic motion of a block attached to a spring. They study the effect of air resistance on the motion and create an animation to describe its...

This lecture on simple harmonic motion includes descriptions of amplitude, frequency and period. The lecture comes in several formats including video, audio and transcript.

Derived from the Fourier series, the harmonic series can be used to represent even and odd functions. Definitions of second and third harmonics are also provided.

To demonstrate how the harmonic series can illustrate the relationship between frequency and interval and the harmonic series

To introduce harmonic analysis of chords and provide an overview of the relationship of chords, keys, and triads

To explain the octaves and timbre of a note originating from the harmonic series

A page which cross-references various museum exhibits pertaining to harmonic motion. Page also contains an animation depicting the sinusoidal nature of simple harmonic motion.

A music theory worksheet regarding harmonic cadences. Requires Adobe Reader [PDF].

A music theory worksheet regarding non-harmonic tones. Requires Adobe Reader [PDF].

A music theory worksheet regarding harmonic progression. Requires Adobe Reader [PDF].