# 8103edo

 ← 8102edo 8103edo 8104edo →
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

8103 equal divisions of the octave (abbreviated 8103edo or 8103ed2), also called 8103-tone equal temperament (8103tet) or 8103 equal temperament (8103et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 8103 equal parts of about 0.148 ¢ each. Each step represents a frequency ratio of 21/8103, or the 8103rd root of 2.

## 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

Approximation of prime harmonics in 8103edo
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 (%) +0.0 +4.9 +41.7 +0.3 +22.6 +33.7 +28.9 +4.3 -42.3 -22.0 +14.7
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

Table of rank-2 temperaments by generator
Periods
per 8ve
Generator
(reduced)
Cents
(reduced)
Associated
ratio
Temperaments
111 3363\8103
(5\8103)
498.0377
0.7405
4/3
(2657205/2656192)
Roentgenium