Chromatic Music Scale

An octave is a sequence of 12 notes, given by the recurrence relation:

$\begin{eqnarray*} f_{x+1} = f_{x} * \sqrt[12]{2^{x}} \end{eqnarray*}$

with $x:\mathbb{N}\mapsto[0,11]$ and starting from the note $A$ with $f_{0}=440Hz$ .

The following table is an octave table (sequence of pitches) with notes corresponding to frequencies. Each successive frequency is determined by multiplying the previously obtained frequency with $\sqrt[12]{2} \approx 1.05946$ .

Note	Frequency (Hz)
$A$	440.00
$A\sharp$ / $B\flat$	466.16
B	493.88
C	523.25
$C\sharp$ / $D\flat$	554.37
D	587.33
$D\sharp$ / $E\flat$	622.25
E	659.26
F	698.46
$F\sharp$ / $G\flat$	739.99
G	783.99
$G\sharp$ / $A\flat$	830.61

the next frequency $880.00$ corresponds to the note $A$ in the next octave.

Noise Colors

Noise can be distributed analogically to light waves and attributed colors according to the frequency distribution. The following chart from hrvojehirsl.com depicts some of the most pivotal noise colors along with the distribution of the noise across the spectrum.