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Sine Waves for Musical Scales

​
interval length
0.05
0.00227273
0.00454545
key number (from the left)
49
ysin(2764.6t)
frequency440. Hz
noteA
The most common tuning system in Western music is the twelve-tone equal temperament scale. In this example, notation is used assuming octaves on a standard piano keyboard with 88 keys, numbered from the left end of the keyboard. Then middle C, for example, is the 40th key. The 49th key, A, is the reference pitch with a frequency of 440 Hz. The frequencies of the other keys in the octave come from this formula:
K
n
=
K
49
×
n-49
12
2
,
where
K
n
is the frequency of the
th
n
key.
We can model the tones using a sinusoidal wave,
y=sin(bx)
, with
b=
K
n
×2π
.

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