8103edo: Difference between revisions
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=== Prime harmonics === | === Prime harmonics === | ||
{{harmonics in equal|8103}} | {{harmonics in equal|8103}} | ||
== Regular temperament properties == | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per 8ve | |||
! Generator<br>(reduced) | |||
! Cents<br>(reduced) | |||
! Associated<br>ratio | |||
! Temperaments | |||
|- | |||
| 111 | |||
| 3363\8103<br>(5\8103) | |||
| 498.0377<br>0.7405 | |||
| 4/3<br>(2657205/2656192) | |||
| [[Roentgenium]] | |||
|} | |||
== Music == | == Music == | ||
Revision as of 16:23, 18 December 2022
| ← 8102edo | 8103edo | 8104edo → |
Theory
8103edo is consistent in the 21-odd-limit.
It is divisible by 37, and inherits the precise 11th harmonic present in 37edo, although the error has accumulated up to 34% 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 (%) | +0.0 | +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
| Periods per 8ve |
Generator (reduced) |
Cents (reduced) |
Associated ratio |
Temperaments |
|---|---|---|---|---|
| 111 | 3363\8103 (5\8103) |
498.0377 0.7405 |
4/3 (2657205/2656192) |
Roentgenium |