Understanding Harmonics and Overtones

Understanding Harmonics and Overtones

Assessment

Interactive Video

Mathematics, Physics, Performing Arts

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains the concepts of harmonics and overtones in music. Harmonics are resonant frequencies that are integer multiples of a fundamental frequency, while overtones are any resonant frequencies above the fundamental. The tutorial uses examples from a piano and a singing bowl to illustrate these concepts, highlighting the mathematical relationships and differences between harmonics and overtones.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of the introduction section?

The cultural significance of music

The physics of sound waves

The importance of understanding harmonics and overtones

The history of musical instruments

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is a harmonic defined in relation to the fundamental frequency?

As any frequency that is unrelated to the fundamental

As any frequency that is an integer multiple of the fundamental

As any frequency that is a sum of the fundamental

As any frequency that is a fraction of the fundamental

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the fundamental frequency of the piano note mentioned?

880 Hertz

1320 Hertz

440 Hertz

1760 Hertz

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What distinguishes overtones from harmonics?

Overtones are always lower than harmonics

Overtones are any resonant frequency above the fundamental

Overtones are only found in string instruments

Overtones are unrelated to the fundamental frequency

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the singing bowl example, what is the frequency of the first overtone?

276 Hertz

552 Hertz

440 Hertz

758 Hertz

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about the second overtone in the singing bowl example?

It is unrelated to the fundamental

It is lower than the first overtone

It is the same as the fundamental

It is a harmonic

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the fundamental frequency of the singing bowl?

758 Hertz

440 Hertz

552 Hertz

276 Hertz

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