editing disabled

193 tone equal temperament


The 193-EDO 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.