Tuning
Equal Temperament
Pythagorean
Math
Each successive octave is twice the frequency of it's predecessor. Inside each octave we have twelve notes and there are different conventions to distribute the notes within the octave.
With equal temperament the notes distributed equally so there is predictable gap between each note. The pitch of each note is calculated using:
pitch(i) = {{A4FREQUENCY}}Hz × 2i/12
With pythagorean tuning the notes are distributed according to the ratio of 3:2, the perfect fifth, ...
pitch = {{D4FREQUENCY}}Hz × 3a2b where a,b ∈ ...,-2,-1,0,1,2,...
{{A4FREQUENCY}}Hz is frequency of middle A under the concert tuning convention, {{D4FREQUENCY}}Hz is frequency of middle D ...
Show extra octaves ...