The most common contemporary musical temperament is obtained by separating the twelve notes of the chromatic scale by the same amount in a logarithmic frequency scale. The same principle may be applied to other scales, such as the 7-note diatonic scale or the 5-note pentatonic scale. I made a program to experiment with these scales. The notes, theory, codes and results are here.

A few examples are:

1. Diatonic scale
   • In equal temperament-12
   • In equal temperament-7
2. Do-re-mi from The Sound of Music
   • In equal temerament-12
   • In equal temerament-7
3. Pentatonic scale
   • In equal temperament-12
   • In equal temperament-7
   • In equal temperament-5
4. Morning from Peer Gynt by Edvard Grieg
   • In equal temperament-12
   • In equal temperament-7
   • In equal temperament-5