193edo

193 tone equal temperament

The 193EDO divides the octave into 193 equal parts of 6.21762 cents each. It provides the optimal patent val for sqrtphi temperament in the 13-, 17- and 19- limits, and for 13-limit minos and vish temperaments.

Approximation of the intervals:

Square root of Pi: 159\193 (988.60104 cents), and

Phi: 134\193 (833.16062 cents), both inside in the superdiatonic scale: 25 25 25 9 25 25 25 25 9

193edo is the 44th prime EDO.