Scientific Even and Just Temperament

Medical Tuning forks are based on octaves 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 Hz.  All modern music is even temperment based on a concert A4 = 440Hz. This is just an arbitrary assignment. Music should be based on a C4 = 256 Hz.  After deciding the proper starting pitch, we need to decide on temperment. 3 major temperments are Even, Just, and Pythagorean. Pathagorean temperment leads to the popular alternative 432 pitch.  Even and Just frequencies are listed below.

Verdi Temperament

C4 = 256 Hz

C#4 = 272 Hz

D4 = 288 Hz

D#4 = 304 Hz

E4 = 320 Hz

F4 = 336 Hz

F#4 = 352 Hz

G4 = 384 Hz

G#4 = 408 Hz

A4 = 432 Hz **********

A#4 = 456 Hz

B4 = 480 Hz

C5 = 512.0 Hz

Even Temperment:

F(n) = 2 ^ ( n / 12 ) * 256 Hz

C4 = 256.0 Hz
C#4 = 271.2 Hz
D4 = 287.3 Hz
D#4 = 304.4 Hz
E4 = 322.5 Hz
F4 = 341.7 Hz
F#4 = 362.0 Hz
G4 = 383.6 Hz
G#4 = 406.4 Hz
A4 = 430.5 Hz **********
A#4 = 456.1 Hz
B4 = 483.3 Hz
C5 = 512.0 Hz

Just Temperment:

C4 = 1/1 = 256 Hz
C#4 = 25/24 = 266.7 Hz
D4 = 9/8 = 288 Hz

D#4 = 6/5 = 307.2 Hz

E4 = 5/4 = 320 Hz

F4 = 4/3 = 341.3 Hz

F#4 = 45/32 = 360 Hz

G4 = 3/2 = 384 Hz

G#4 = 8/5 = 409.6 Hz

A4 = 5/3 = 426.7 Hz **********

A#4 = 9/5 = 460.8 Hz

B4 = 15/8 = 480 Hz

C5 = 2/1 = 512 Hz