# 38edt

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Prime factorization
2 × 19
Step size
50.0514¢
Octave
24\38edt (1201.23¢) (→12\19edt)
Consistency limit
5
Distinct consistency limit
5

← 37edt | 38edt | 39edt → |

**Division of the third harmonic into 38 equal parts** (38EDT) is related to 24 edo (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 50.0514 cents. It is consistent to the 6-integer-limit.

Lookalikes: 24edo, 56ed5, 62ed6, 14edf

## Harmonics

Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Error | Absolute (¢) | +1.23 | +0.00 | +2.47 | +16.57 | +1.23 | -15.38 | +3.70 | +0.00 | +17.80 | +2.95 | +2.47 |

Relative (%) | +2.5 | +0.0 | +4.9 | +33.1 | +2.5 | -30.7 | +7.4 | +0.0 | +35.6 | +5.9 | +4.9 | |

Steps (reduced) |
24 (24) |
38 (0) |
48 (10) |
56 (18) |
62 (24) |
67 (29) |
72 (34) |
76 (0) |
80 (4) |
83 (7) |
86 (10) |