This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

This page is a stub. You can help the Xenharmonic Wiki by expanding it.
← 30102edo 30103edo 30104edo →
Prime factorization 30103 (prime)
Step size 0.0398631 ¢ 
Fifth 17609\30103 (701.95 ¢)
Semitones (A1:m2) 2851:2264 (113.6 ¢ : 90.25 ¢)
Consistency limit 11
Distinct consistency limit 11

Template:EDO intro

30103edo is consistent in the 11-odd-limit and is otherwise a strong 2.3.5.17 subgroup tuning.

As an interval size measure

Since logarithm of 2 in base 10 is equal to 0.30102999..., one step of 30103edo comes exceptionally close to being one step of an otherwise perfectly decimal tuning system, 100000ed10, similar to heptameride being one step of 301edo and savart being one step of 1000ed10. It was named jot by Augustus de Morgan in 1864.

Prime harmonics

Approximation of prime harmonics in 30103edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0050 -0.0001 +0.0078 -0.0108 -0.0134 +0.0042 -0.0144 +0.0085 +0.0079 -0.0068
Relative (%) +0.0 -12.6 -0.1 +19.5 -27.0 -33.7 +10.6 -36.2 +21.4 +19.8 -17.2
Steps
(reduced)
30103
(0)
47712
(17609)
69897
(9691)
84510
(24304)
104139
(13830)
111394
(21085)
123045
(2633)
127875
(7463)
136173
(15761)
146240
(25828)
149136
(28724)