# 8103edo

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Prime factorization
3 × 37 × 73
Step size
0.148093¢
Fifth
4740\8103 (701.962¢) (→1580\2701)
Semitones (A1:m2)
768:609 (113.7¢ : 90.19¢)
Consistency limit
21
Distinct consistency limit
21

← 8102edo | 8103edo | 8104edo → |

**8103 equal divisions of the octave** (**8103edo**), or **8103-tone equal temperament** (**8103tet**), **8103 equal temperament** (**8103et**) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 8103 equal parts of about 0.148 ¢ each.

## Theory

8103edo is consistent in the 21-odd-limit. In the 13-limit, it tempers out 123201/123200, and in the 17-limit, it tempers out 12376/12375.

It is divisible by 37, and inherits the precise 11th harmonic present in 37edo, although the error has accumulated up to 23% at this point.

### Prime harmonics

Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Error | absolute (¢) | +0.0000 | +0.0072 | +0.0617 | +0.0005 | +0.0334 | +0.0499 | +0.0427 | +0.0064 | -0.0626 | -0.0326 | +0.0218 |

relative (%) | +0 | +5 | +42 | +0 | +23 | +34 | +29 | +4 | -42 | -22 | +15 | |

Steps (reduced) |
8103 (0) |
12843 (4740) |
18815 (2609) |
22748 (6542) |
28032 (3723) |
29985 (5676) |
33121 (709) |
34421 (2009) |
36654 (4242) |
39364 (6952) |
40144 (7732) |

## Regular temperament properties

### Rank-2 temperaments

Periods per 8ve |
Generator (reduced) |
Cents (reduced) |
Associated ratio |
Temperaments |
---|---|---|---|---|

111 | 3363\8103 (5\8103) |
498.0377 0.7405 |
4/3 (2657205/2656192) |
Roentgenium |