There are twelve semitones in a music octave, when frequency doubles. Dividing this doubling into twelve equal parts, yields the twelfth root of two. An interesting Maxima problem is to compute its convergents; These values agree with wikipedia and provide some sort of explanation https://en.wikipedia.org/wiki/Twelfth_root_of_two (%i3) 2^(1/12),numer; (%o3) 1.059463094359295 (%i4) cf(%); […]