Derivation of 5ths vs derivation of harmonic partials from a fundamental pitch

Frequencies by 5ths

Below you can hear hear the first five partials in a harmonic series. These are the tones that are resonating inside any frequency. Here, they are represented as sine tones. Since tones don’t have these nested frequencies inside of them. So these frequencies are just representations. But any acoustic instrument or voice has produces tones that have the full spectrum.

C fundamental. 65Hz

The first partial. C an octave above. 130Hz

The second partial. G a fifth above. 195Hz

The third partial. A fourth above (third octave). 260Hz

The E a third above. 325Hz

Same C at 65Hz

The G a 5th above

The D a fifth above

The A a fifth above

The E a 5th above