# 67edt

 ← 66edt 67edt 68edt →
Prime factorization 67 (prime)
Step size 28.3874¢
Octave 42\67edt (1192.27¢)
Consistency limit 2
Distinct consistency limit 2

67EDT is the equal division of the third harmonic into 67 parts of 28.3874 cents each, corresponding to 42.2723 edo. It is related to the regular temperament which tempers out 2100875/2097152 and |-36 45 -14 -1> in the 7-limit, which is supported by 296, 465, 761, and 1057 EDOs among others.

## Related regular temperaments

### 296&465 temperament

#### 7-limit

Commas: 2100875/2097152, |-36 45 -14 -1>

POTE generator: ~64/63 = 28.3825

Mapping: [<1 0 -3 6|, <0 67 225 -135|]

EDOs: 296, 465, 761, 1057

#### 11-limit

Commas: 46656/46585, 2100875/2097152, 21437500/21434787

POTE generator: ~64/63 = 28.3824

Mapping: [<1 0 -3 6 1|, <0 67 225 -135 104|]

EDOs: 296, 465, 761, 1057

#### 13-limit

Commas: 1575/1573, 46656/46585, 199927/199650, 216513/216320

POTE generator: ~64/63 = 28.3825

Mapping: [<1 0 -3 6 1 -2|, <0 67 225 -135 104 241|]

EDOs: 296, 465, 761, 1057