## Music

A note and its overtones
**Harmony**

If two notes are simultaneously played, with frequency that are
simple fractions (e.g. 2/1, 3/2 or 5/4), then the composite wave will
still be periodic with a short period, and the combination will sound
For instance, a note vibrating at 200 Hz and a note vibrating at
300 Hz (a or 3/2 ratio, above 200 Hz) will add
together to make a wave that repeats at 100 Hz: every 1/100 of a
second, the 300 Hz wave will repeat thrice and the 200 Hz
wave will repeat twice. Note that the total wave repeats at
100 Hz, but there is not actually a 100 Hz sinusoidal
component present.

Additionally, the two notes will have many of the same
partials. For instance, a note with a fundamental frequency of
200 Hz will have harmonics at:

- (200,) 400, 600, 800, 1000, 1200, b&

A note with fundamental frequency of 300 Hz will have
harmonics at:

- (300,) 600, 900, 1200, 1500,
The following table shows the ratios between the frequencies of all
the notes of the just major scale and the fixed frequency of the first note of
the scale.

C |
D |
E |
F |
G |
A |
B |
C |

1 |
9/8 |
5/4 |
4/3 |
3/2 |
5/3 |
15/8 |
2 |

scale
Play
scale.mid