8103edo: Difference between revisions
No edit summary |
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
||
| (7 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
8103edo is [[consistent]] in the [[21-odd-limit]]. | 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 | 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 === | === Prime harmonics === | ||
{{harmonics in equal|8103}} | {{harmonics in equal|8103}} | ||
== Regular temperament properties == | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | |||
|- | |||
| 111 | |||
| 3363\8103<br>(5\8103) | |||
| 498.0377<br>0.7405 | |||
| 4/3<br>(2657205/2656192) | |||
| [[Roentgenium]] | |||
|} | |||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | |||
== Music == | == Music == | ||
* [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]] | * [https://www.youtube.com/watch?v=FaI74-ZPVaw Etude in C Roentgenium, Op. 2, No.1] by [[Eliora]] | ||
[[Category:Equal divisions of the octave|####]] | [[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | ||
[[Category:Listen]] | |||