by moodyharsh 2017-04-18

Humming seems to map to the vocal-nasal tract.
Here is a mapping with the Vocal Tract, Western Scale and Indian Solfege.

C Lower throat Sa(1)
C# Lower throat Saa(1.5)
D Adams’s Apple Re(2)
D# Lower throat Ree(2.5)

E Throat Opening Ga(3)
F Vibrating Thing Ma(4)
F# Vibrating Thing Maa(4.5)

G Below nose opening Pa(5)
G# Below nose opening Paa(5.5)

A Nasal roof Dha(6)
A# Nasal roof Dhaa(6.5)
B Highest pitch Ni(7)

Going by numbers alone instead of letters is useful for mod 7 or mod 12 arithmetic.
Given l the length of the string, all notes in ratios of 3^m / 2^n between l and l / 2 are harmonic.

For bass add ooh sound.
For treble add aah sound.