Porwell family: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>genewardsmith **Imported revision 167297917 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 167307229 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
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:genewardsmith|genewardsmith]] and made on <tt>2010-10-03 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-03 03:11:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>167307229</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : 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> | ||
| Line 25: | Line 25: | ||
Minimax tuning | Minimax tuning | ||
[|1 0 0 0 0>, |11/9 10/9 -1/3 -2/9 0>, | |||
|22/9 2/9 1/3 -4/9 0>, |22/9 2/9 -2/3 5/9 0>, | |||
|10/3 2/3 0 -1/3 0>] | |||
Eigenmonzos: 2, 9/7, 7/5 | Eigenmonzos: 2, 9/7, 7/5 | ||
Map: [<1 0 1 4 2|, <0 1 1 -1 1|, <0 0 -2 3 1|] | Map: [<1 0 1 4 2|, <0 1 1 -1 1|, <0 0 -2 3 1|] | ||
Generators: 2, 3, 11/10 | Generators: 2, 3, 11/10 | ||
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412</pre></div> | |||
13-limit | |||
====Tridecimal Zeus==== | |||
Commas: 121/120, 176/175, 351/350 | |||
13-limit minimax | |||
[|1 0 0 0 0 0>, |11/9 10/9 -1/3 -2/9 0 0>, | |||
|22/9 2/9 1/3 -4/9 0 0>, |22/9 2/9 -2/3 5/9 0 0>, | |||
|10/3 2/3 0 -1/3 0 0>, |14/3 -8/3 1 1/3 0 0>] | |||
Eigenmonzos: 2, 9/7, 7/5 | |||
15-limit minimax | |||
[|1 0 0 0 0 0>, |0 1 0 0 0 0>, | |||
|11/5 1/5 2/5 -2/5 0 0>,|11/5 1/5 -3/5 3/5 0 0>, | |||
|13/5 3/5 1/5 -1/5 0 0>, |38/5 -12/5 1/5 -1/5 0 0>] | |||
Eigenmonzos: 2, 4/3, 7/5 | |||
Map: [<1 0 1 4 2 7|, <0 1 1 -1 1 -2|, <0 0 -2 3 -1 -1|] | |||
Generators: 2, 3 11/10 | |||
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412 | |||
====Tinia==== | |||
Commas: 66/65, 121/120, 176/175</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Porwell family</title></head><body>The porwell family of rank three temperaments tempers out the porwell comma, 6144/6125.<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Porwell family</title></head><body>The porwell family of rank three temperaments tempers out the porwell comma, 6144/6125.<br /> | ||
| Line 51: | Line 76: | ||
<br /> | <br /> | ||
Minimax tuning<br /> | Minimax tuning<br /> | ||
<br /> | [|1 0 0 0 0&gt;, |11/9 10/9 -1/3 -2/9 0&gt;, <br /> | ||
|22/9 2/9 1/3 -4/9 0&gt;, |22/9 2/9 -2/3 5/9 0&gt;, <br /> | |||
|10/3 2/3 0 -1/3 0&gt;]<br /> | |||
Eigenmonzos: 2, 9/7, 7/5<br /> | Eigenmonzos: 2, 9/7, 7/5<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 1 4 2|, &lt;0 1 1 -1 1|, &lt;0 0 -2 3 1|]<br /> | Map: [&lt;1 0 1 4 2|, &lt;0 1 1 -1 1|, &lt;0 0 -2 3 1|]<br /> | ||
Generators: 2, 3, 11/10<br /> | Generators: 2, 3, 11/10<br /> | ||
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412</body></html></pre></div> | <br /> | ||
13-limit<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h4&gt; --><h4 id="toc2"><a name="x-11 limit children-Zeus-Tridecimal Zeus"></a><!-- ws:end:WikiTextHeadingRule:4 -->Tridecimal Zeus</h4> | |||
Commas: 121/120, 176/175, 351/350<br /> | |||
<br /> | |||
13-limit minimax<br /> | |||
[|1 0 0 0 0 0&gt;, |11/9 10/9 -1/3 -2/9 0 0&gt;, <br /> | |||
|22/9 2/9 1/3 -4/9 0 0&gt;, |22/9 2/9 -2/3 5/9 0 0&gt;, <br /> | |||
|10/3 2/3 0 -1/3 0 0&gt;, |14/3 -8/3 1 1/3 0 0&gt;]<br /> | |||
Eigenmonzos: 2, 9/7, 7/5<br /> | |||
<br /> | |||
15-limit minimax<br /> | |||
[|1 0 0 0 0 0&gt;, |0 1 0 0 0 0&gt;, <br /> | |||
|11/5 1/5 2/5 -2/5 0 0&gt;,|11/5 1/5 -3/5 3/5 0 0&gt;, <br /> | |||
|13/5 3/5 1/5 -1/5 0 0&gt;, |38/5 -12/5 1/5 -1/5 0 0&gt;]<br /> | |||
Eigenmonzos: 2, 4/3, 7/5<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 4 2 7|, &lt;0 1 1 -1 1 -2|, &lt;0 0 -2 3 -1 -1|]<br /> | |||
Generators: 2, 3 11/10<br /> | |||
Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h4&gt; --><h4 id="toc3"><a name="x-11 limit children-Zeus-Tinia"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tinia</h4> | |||
Commas: 66/65, 121/120, 176/175</body></html></pre></div> | |||
Revision as of 03:11, 3 October 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 genewardsmith and made on 2010-10-03 03:11:57 UTC.
- The original revision id was 167307229.
- 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:
The porwell family of rank three temperaments tempers out the porwell comma, 6144/6125. Comma: 6144/6125 7 and 9 limit minimax [|1 0 0 0>, |0 1 0 0>, |11/5 1/5 2/5 -2/5>, |11/5 1/5 -3/5 3/5>] Eigenmonzos: 4/3, 7/5 Map: [<1 0 1 4|, <0 1 1 -1|, <0 0 -2 3|] Generators: 2, 3, 35/32 Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 412 ==11 limit children== ===Zeus=== Commas: 121/120, 176/175 Minimax tuning [|1 0 0 0 0>, |11/9 10/9 -1/3 -2/9 0>, |22/9 2/9 1/3 -4/9 0>, |22/9 2/9 -2/3 5/9 0>, |10/3 2/3 0 -1/3 0>] Eigenmonzos: 2, 9/7, 7/5 Map: [<1 0 1 4 2|, <0 1 1 -1 1|, <0 0 -2 3 1|] Generators: 2, 3, 11/10 13-limit ====Tridecimal Zeus==== Commas: 121/120, 176/175, 351/350 13-limit minimax [|1 0 0 0 0 0>, |11/9 10/9 -1/3 -2/9 0 0>, |22/9 2/9 1/3 -4/9 0 0>, |22/9 2/9 -2/3 5/9 0 0>, |10/3 2/3 0 -1/3 0 0>, |14/3 -8/3 1 1/3 0 0>] Eigenmonzos: 2, 9/7, 7/5 15-limit minimax [|1 0 0 0 0 0>, |0 1 0 0 0 0>, |11/5 1/5 2/5 -2/5 0 0>,|11/5 1/5 -3/5 3/5 0 0>, |13/5 3/5 1/5 -1/5 0 0>, |38/5 -12/5 1/5 -1/5 0 0>] Eigenmonzos: 2, 4/3, 7/5 Map: [<1 0 1 4 2 7|, <0 1 1 -1 1 -2|, <0 0 -2 3 -1 -1|] Generators: 2, 3 11/10 Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412 ====Tinia==== Commas: 66/65, 121/120, 176/175
Original HTML content:
<html><head><title>Porwell family</title></head><body>The porwell family of rank three temperaments tempers out the porwell comma, 6144/6125.<br /> <br /> Comma: 6144/6125<br /> <br /> 7 and 9 limit minimax<br /> [|1 0 0 0>, |0 1 0 0>, |11/5 1/5 2/5 -2/5>, <br /> |11/5 1/5 -3/5 3/5>]<br /> Eigenmonzos: 4/3, 7/5<br /> <br /> Map: [<1 0 1 4|, <0 1 1 -1|, <0 0 -2 3|]<br /> Generators: 2, 3, 35/32<br /> Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 412<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-11 limit children-Zeus"></a><!-- ws:end:WikiTextHeadingRule:2 -->Zeus</h3> Commas: 121/120, 176/175<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |11/9 10/9 -1/3 -2/9 0>, <br /> |22/9 2/9 1/3 -4/9 0>, |22/9 2/9 -2/3 5/9 0>, <br /> |10/3 2/3 0 -1/3 0>]<br /> Eigenmonzos: 2, 9/7, 7/5<br /> <br /> Map: [<1 0 1 4 2|, <0 1 1 -1 1|, <0 0 -2 3 1|]<br /> Generators: 2, 3, 11/10<br /> <br /> 13-limit<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h4> --><h4 id="toc2"><a name="x-11 limit children-Zeus-Tridecimal Zeus"></a><!-- ws:end:WikiTextHeadingRule:4 -->Tridecimal Zeus</h4> Commas: 121/120, 176/175, 351/350<br /> <br /> 13-limit minimax<br /> [|1 0 0 0 0 0>, |11/9 10/9 -1/3 -2/9 0 0>, <br /> |22/9 2/9 1/3 -4/9 0 0>, |22/9 2/9 -2/3 5/9 0 0>, <br /> |10/3 2/3 0 -1/3 0 0>, |14/3 -8/3 1 1/3 0 0>]<br /> Eigenmonzos: 2, 9/7, 7/5<br /> <br /> 15-limit minimax<br /> [|1 0 0 0 0 0>, |0 1 0 0 0 0>, <br /> |11/5 1/5 2/5 -2/5 0 0>,|11/5 1/5 -3/5 3/5 0 0>, <br /> |13/5 3/5 1/5 -1/5 0 0>, |38/5 -12/5 1/5 -1/5 0 0>]<br /> Eigenmonzos: 2, 4/3, 7/5<br /> <br /> Map: [<1 0 1 4 2 7|, <0 1 1 -1 1 -2|, <0 0 -2 3 -1 -1|]<br /> Generators: 2, 3 11/10<br /> Edos: 6, 7, 8, 9, 15, 16, 22, 23, 24, 31, 37, 38, 39, 40, 46, 47, 53, 55, 59, 68, 75, 77, 84, 99, 130, 229, 282, 381, 412<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h4> --><h4 id="toc3"><a name="x-11 limit children-Zeus-Tinia"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tinia</h4> Commas: 66/65, 121/120, 176/175</body></html>