# 157edt

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Prime factorization
157 (prime)
Step size
12.1144¢
Octave
99\157edt (1199.32¢)
Consistency limit
11
Distinct consistency limit
11

← 156edt | 157edt | 158edt → |

**Division of the third harmonic into 157 equal parts** (157EDT) is related to 99edo, but with the 3/1 rather than the 2/1 being just. The octave is about 0.6781 cents compressed and the step size is about 12.1144 cents. It is consistent to the 12-integer-limit. In comparison, 99edo is only consistent up to the 10-integer-limit. 157edt is notable for it's excellent 5/3, as a convergent to log_{3}(5), and can be used effectively both with and without twos.