Sound: Harmonics
7
2 v f v f v f L λ λ = = = Harmonics Standing waves – Fundamental frequency – What is it? – Which harmonic? How can you find wavelength? How do you know that the wavelength is equal to 2L?
-
Upload
cpphysicsdc -
Category
Education
-
view
2.183 -
download
0
Transcript of Sound: Harmonics
2
v f
vf
vf
L
λ
λ
=
=
=
Harm
onics
Standing waves– Fundamental frequency
– What is it?– Which harmonic?
How can you find wavelength?
How do you know that the wavelength is equal to 2L?
What is the Wavelength?
Harm
onics
Strings & Open PipesNodes & antinodes
2 2n
v v nvf
L Ln
λ= = =
–What is n?–What numbers can it be?
2L
nλ =
NA
A AN
NA
A
NA
A A AN N
Harm
onics
On Closed Pipes
4 4n
v v nvf
L Ln
λ= = =
÷ –What is n?
–What numbers can it be?
4L
nλ =
NA
NAN
A
AN
AAN N
Timbre
Why do instruments have different sound even if they play the same note?– Overtones
Different relative intensities of different harmonics
440 Hz
880 Hz
Mixed
Factory Whistle
Soprano
Piano
Factory Whistle
Soprano
Piano
