8103edo: Difference between revisions
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== 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 === | |||
{{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]] | |||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | |||
[[Category:Listen]] | |||