8103edo: Difference between revisions
Corrected relative error on prime 11 (34% was for prime 13) + add comment after category for sort key |
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" |
||
| (5 intermediate revisions by 3 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 23% at this point. | 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. | ||
| Line 9: | Line 9: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Generator | ! Periods<br />per 8ve | ||
! Cents | ! Generator* | ||
! Associated<br>ratio | ! Cents* | ||
! Associated<br />ratio* | |||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 25: | Line 25: | ||
| [[Roentgenium]] | | [[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|####]] <!-- 4-digit number --> | [[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | ||
[[Category:Listen]] | |||