Octagar family: Difference between revisions
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Wikispaces>xenwolf **Imported revision 165446135 - Original comment: added some links** |
Wikispaces>xenwolf **Imported revision 165446155 - Original comment: ** |
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-26 09:05: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-26 09:05:38 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>165446155</tt>.<br> | ||
: The revision comment was: <tt> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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===Vital statistics=== | ===Vital statistics=== | ||
Comma c = 4000/3969 | [[Comma]] c = 4000/3969 | ||
7-limit minimax: 3 and 7 1/6c sharp, 5 just | 7-limit minimax: 3 and 7 1/6c sharp, 5 just | ||
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Comma c = 4000/3969<br /> | <a class="wiki_link" href="/Comma">Comma</a> c = 4000/3969<br /> | ||
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7-limit minimax: 3 and 7 1/6c sharp, 5 just<br /> | 7-limit minimax: 3 and 7 1/6c sharp, 5 just<br /> | ||
Revision as of 09:05, 26 September 2010
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2010-09-26 09:05:38 UTC.
- The original revision id was 165446155.
- 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:
Octagar temperament is the 7-limit [[planar temperament]] tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds. ===Vital statistics=== [[Comma]] c = 4000/3969 7-limit minimax: 3 and 7 1/6c sharp, 5 just [|1 0 0 0>, |5/6 1/3 1/2 -1/3>, |0 0 1 0>, |5/6 -2/3 1/2 2/3>] [[Eigenmonzo|Eigenmonzos]]: 2, 7/6, 5/4 9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp [|1 0 0 0>, |5/8 1/2 3/8 -1/4>, |0 0 1 0>, |5/4 -1 3/4 1/2>] [[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 9/7 Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605 Angle(63/50, 21/20) = 97.743 cents Map to lattice: [<0 -1 -2 -1|, <0 -1 0 2|] [[edo|EDOs]]: [[162edo|162]], [[189edo|189]], [[215edo|215]], [[230edo|230]]
Original HTML content:
<html><head><title>Octagar family</title></head><body>Octagar temperament is the 7-limit <a class="wiki_link" href="/planar%20temperament">planar temperament</a> tempering out 4000/3969. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3> <a class="wiki_link" href="/Comma">Comma</a> c = 4000/3969<br /> <br /> 7-limit minimax: 3 and 7 1/6c sharp, 5 just<br /> [|1 0 0 0>, |5/6 1/3 1/2 -1/3>, <br /> |0 0 1 0>, |5/6 -2/3 1/2 2/3>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/6, 5/4<br /> <br /> 9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp<br /> [|1 0 0 0>, |5/8 1/2 3/8 -1/4>, <br /> |0 0 1 0>, |5/4 -1 3/4 1/2>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 9/7<br /> <br /> Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605<br /> Angle(63/50, 21/20) = 97.743 cents<br /> Map to lattice: [<0 -1 -2 -1|, <0 -1 0 2|]<br /> <a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/162edo">162</a>, <a class="wiki_link" href="/189edo">189</a>, <a class="wiki_link" href="/215edo">215</a>, <a class="wiki_link" href="/230edo">230</a></body></html>