Jubilismic family
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- This revision was by author xenwolf and made on 2010-09-27 16:36:23 UTC.
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Original Wikitext content:
Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or [[http://en.wikipedia.org/wiki/Septimal_sixth-tone|septimal sixth-tone]]. It therefore identifies the two septimal tritones [[7_5|7/5]] and [[10_7|10/7]], an identification familiar from [[12edo]]. While most rank three temperaments are planar, jubilismic temperament divides the octave in two. [[Comma]]: 50/49 7 and 9 limit minimax tuning [|1 0 0 0>, |0 1 0 0>, |-1/4 0 1/2 1/2>, |1/4 0 1/2 1/2>] [[Eigenmonzo|Eigenmonzos]]: 2, 3/2, 35/32 Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|] [[Generator|Generators]]: 7/5, 3, 5 [[edo|Edos]]: [[10edo|10]], [[12edo|12]], [[22edo|22]], [[26edo|26]], [[38edo|38]], [[48edo|48]]
Original HTML content:
<html><head><title>Jubilismic family</title></head><body>Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_sixth-tone" rel="nofollow">septimal sixth-tone</a>. It therefore identifies the two septimal tritones <a class="wiki_link" href="/7_5">7/5</a> and <a class="wiki_link" href="/10_7">10/7</a>, an identification familiar from <a class="wiki_link" href="/12edo">12edo</a>. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.<br /> <br /> <a class="wiki_link" href="/Comma">Comma</a>: 50/49<br /> <br /> 7 and 9 limit minimax tuning<br /> [|1 0 0 0>, |0 1 0 0>, |-1/4 0 1/2 1/2>, <br /> |1/4 0 1/2 1/2>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 3/2, 35/32<br /> <br /> Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|]<br /> <a class="wiki_link" href="/Generator">Generators</a>: 7/5, 3, 5<br /> <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/38edo">38</a>, <a class="wiki_link" href="/48edo">48</a></body></html>