Comment by rerdavies

129.74 is not really close to a power of two. 31-tet scales have a better approximation of a 5th (and an impressively better approximation of a minor 7th).

The obvious exception in the western system would be the blues scale, which arguably has 9 tones (7 equal tempered notes, plus a just tempered 3rd and 7th).

And Indian ragas break all of these rules. They have scales that don't have 8 notes, scales that don't use equal temperament, and even a few scales that don't repeat on octaves.