Jubilismic family
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-01-03 19:01:58 UTC.
- The original revision id was 190748144.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
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]] Scales: [[jubilismic10]] ==Jubilee== Commas: 50/49, 99/98 Map: [<2 0 0 1 4|, <0 1 0 0 -2|, <0 0 1 1 2|] EDOS: 12, 22, 48 Badness: 0.000600 ==Festival== Commas: 50/49, 45/44 Map: [<2 0 0 1 -4|, <0 1 0 0 2|, <0 0 1 1 1|] EDOs: 10, 12, 26 Badness: 0.000689 ==Fiesta== Commas: 50/49, 56/55 Map: [<2 0 0 1 7|, <0 1 0 0 0|, <0 0 1 1 0|] EDOs: 10, 12 Badness: 0.000717 ==Jamboree== Commas: 50/49, 55/54 Map: [<2 0 0 1 2|, <0 1 0 0 3|, <0 0 1 1 -1|] EDOs: 10, 22 Badness: 0.000781
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><br /> Scales: <a class="wiki_link" href="/jubilismic10">jubilismic10</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Jubilee"></a><!-- ws:end:WikiTextHeadingRule:0 -->Jubilee</h2> Commas: 50/49, 99/98<br /> <br /> Map: [<2 0 0 1 4|, <0 1 0 0 -2|, <0 0 1 1 2|]<br /> EDOS: 12, 22, 48<br /> Badness: 0.000600<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-Festival"></a><!-- ws:end:WikiTextHeadingRule:2 -->Festival</h2> Commas: 50/49, 45/44<br /> <br /> Map: [<2 0 0 1 -4|, <0 1 0 0 2|, <0 0 1 1 1|]<br /> EDOs: 10, 12, 26<br /> Badness: 0.000689<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x-Fiesta"></a><!-- ws:end:WikiTextHeadingRule:4 -->Fiesta</h2> Commas: 50/49, 56/55<br /> <br /> Map: [<2 0 0 1 7|, <0 1 0 0 0|, <0 0 1 1 0|]<br /> EDOs: 10, 12<br /> Badness: 0.000717<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x-Jamboree"></a><!-- ws:end:WikiTextHeadingRule:6 -->Jamboree</h2> Commas: 50/49, 55/54<br /> <br /> Map: [<2 0 0 1 2|, <0 1 0 0 3|, <0 0 1 1 -1|]<br /> EDOs: 10, 22<br /> Badness: 0.000781</body></html>