How to Derive Frequencies for any Chemical

Frequency = atomic weight * 16

Now if we take this formula and derive the frequency for melatonin.

The molecular weight of melatonin is approximately 232.278 g/mol.

Frequency = 232.278 * 16
Frequency = 3716.448

Now divide it down to a lower octave.
3716.448 / 16 = 14.517375

About 14.5. Very close to the "pineal" frequency.

Note that this is actually a harmonic of the Matter Wave frequency you would obtain if you used the De Broglie formula instead.

Now let's get the inverse frequency of melatonin.

Inverse Frequency = 14.517375 * sqrt(2)
Inverse Frequency = 20.53066861505611

Multiply to higher octave by 2, you get:
41.06133723011222

That is very close to the 42.7 Hz frequency used to induce sleep in that study by the discoverer of HIV.