Father family: Difference between revisions

Revision as of 08:27, 7 February 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author guest and made on 2012-02-07 08:27:21 UTC.

The original revision id was 299240624.

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:

[[toc|flat]]
This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are "fourth-thirds", or father, temperaments.

=Father= 
Comma: 16/15

POTE generator: ~3/2 = 743.986

Map: [<1 0 4|, <0 1 -1|]
EDOs: 1, 2, 3, 5, 8, 10c, 11b, 13c, 21bc
Badness: 0.0149

==7-limit== 
Commas: 16/15, 28/27

7-limit minimax
[<1 0 0 0|, <3/2 0 -1/4 1/4|, <5/2 0 1/4 -1/4|, <5/2 0 -3/4 3/4|]
[[Eigenmonzo subgroup]]: 2.7/5

9-limit eigenmonzo subgroup: 2.9/5

[[POTE tuning|POTE generator]]: 742.002

Map: [<1 0 4 -2|, <0 1 -1 3|]
Wedgie: <<1 -1 3 -4 2 10||
EDOs: 5, 8d, 13cd, 21bcd
Badness: 0.0213

=Pater= 
Commas: 16/15, 126/125

POTE generator: ~3/2 = 753.113

Map: [<1 0 4 11|, <0 1 -1 -5|]
Wedgie: <<1 -1 -5 -4 -11 -9||
EDOs: 3, 11b, 16bcd, 27bcd
Badness: 0.0530

=Walid= 
Commas: 16/15, 50/49

POTE generator: ~3/2 = 749.415

Map: [<2 0 8 9|, <0 1 -1 -1|]
Wedgie: <<2 -2 -2 -8 -9 1||
EDOs: 2, 6, 10cd, 14bd, 16bcd
Badness: 0.0490

=Baba= 
Commas: 16/15, 49/45

POTE generator: ~8/7 = 226.704

Map: [<1 0 4 2|, <0 2 -2 1|]
Wedgie: <<2 -2 1 -8 -4 8||
EDOs: 1, 5, 11b, 16bc
Badness: 0.0443

=Quint= 
Commas: 16/15, 27/25

POTE generator: ~8/7 = 182.097

Map: [<5 8 12 0|, <0 0 0 -1|]
Wedgie: <<0 0 5 0 8 12||
EDOs: 5, 15cd
Badness: 0.0483

Original HTML content:

<html><head><title>Father family</title></head><body><!-- ws:start:WikiTextTocRule:12:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Father">Father</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Pater">Pater</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Walid">Walid</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Baba">Baba</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Quint">Quint</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: -->
<!-- ws:end:WikiTextTocRule:19 -->This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are &quot;fourth-thirds&quot;, or father, temperaments.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Father"></a><!-- ws:end:WikiTextHeadingRule:0 -->Father</h1>
 Comma: 16/15<br />
<br />
POTE generator: ~3/2 = 743.986<br />
<br />
Map: [&lt;1 0 4|, &lt;0 1 -1|]<br />
EDOs: 1, 2, 3, 5, 8, 10c, 11b, 13c, 21bc<br />
Badness: 0.0149<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Father-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</h2>
 Commas: 16/15, 28/27<br />
<br />
7-limit minimax<br />
[&lt;1 0 0 0|, &lt;3/2 0 -1/4 1/4|, &lt;5/2 0 1/4 -1/4|, &lt;5/2 0 -3/4 3/4|]<br />
<a class="wiki_link" href="/Eigenmonzo%20subgroup">Eigenmonzo subgroup</a>: 2.7/5<br />
<br />
9-limit eigenmonzo subgroup: 2.9/5<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 742.002<br />
<br />
Map: [&lt;1 0 4 -2|, &lt;0 1 -1 3|]<br />
Wedgie: &lt;&lt;1 -1 3 -4 2 10||<br />
EDOs: 5, 8d, 13cd, 21bcd<br />
Badness: 0.0213<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pater"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pater</h1>
 Commas: 16/15, 126/125<br />
<br />
POTE generator: ~3/2 = 753.113<br />
<br />
Map: [&lt;1 0 4 11|, &lt;0 1 -1 -5|]<br />
Wedgie: &lt;&lt;1 -1 -5 -4 -11 -9||<br />
EDOs: 3, 11b, 16bcd, 27bcd<br />
Badness: 0.0530<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Walid"></a><!-- ws:end:WikiTextHeadingRule:6 -->Walid</h1>
 Commas: 16/15, 50/49<br />
<br />
POTE generator: ~3/2 = 749.415<br />
<br />
Map: [&lt;2 0 8 9|, &lt;0 1 -1 -1|]<br />
Wedgie: &lt;&lt;2 -2 -2 -8 -9 1||<br />
EDOs: 2, 6, 10cd, 14bd, 16bcd<br />
Badness: 0.0490<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Baba"></a><!-- ws:end:WikiTextHeadingRule:8 -->Baba</h1>
 Commas: 16/15, 49/45<br />
<br />
POTE generator: ~8/7 = 226.704<br />
<br />
Map: [&lt;1 0 4 2|, &lt;0 2 -2 1|]<br />
Wedgie: &lt;&lt;2 -2 1 -8 -4 8||<br />
EDOs: 1, 5, 11b, 16bc<br />
Badness: 0.0443<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Quint"></a><!-- ws:end:WikiTextHeadingRule:10 -->Quint</h1>
 Commas: 16/15, 27/25<br />
<br />
POTE generator: ~8/7 = 182.097<br />
<br />
Map: [&lt;5 8 12 0|, &lt;0 0 0 -1|]<br />
Wedgie: &lt;&lt;0 0 5 0 8 12||<br />
EDOs: 5, 15cd<br />
Badness: 0.0483</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2012-02-05 14:12:09 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-02-07 08:27:21 UTC</tt>.<br>
-: The original revision id was <tt>298610088</tt>.<br>
+: The original revision id was <tt>299240624</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
 This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are "fourth-thirds", or father, temperaments.
 =Father=
 Comma: 16/15
@@ Line 19: / Line 18: @@
 Badness: 0.0149
 ==7-limit==
 Commas: 16/15, 28/27
@@ Line 35: / Line 34: @@
 Badness: 0.0213
 =Pater=
 Commas: 16/15, 126/125
@@ Line 45: / Line 44: @@
 Badness: 0.0530
 =Walid=
 Commas: 16/15, 50/49
@@ Line 55: / Line 54: @@
 Badness: 0.0490
 =Baba=
 Commas: 16/15, 49/45
@@ Line 65: / Line 64: @@
 Badness: 0.0443
 =Quint=
 Commas: 16/15, 27/25
 POTE generator: ~8/7 = 182.097
-Map: [&lt;5 8 12 0|, &lt;0 0 0 1|]
+Map: [&lt;5 8 12 0|, &lt;0 0 0 -1|]
 Wedgie: &lt;&lt;0 0 5 0 8 12||
 EDOs: 5, 15cd
@@ Line 76: / Line 75: @@
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Father family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:12:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;a href="#Father"&gt;Father&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt; | &lt;a href="#Pater"&gt;Pater&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt; | &lt;a href="#Walid"&gt;Walid&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Baba"&gt;Baba&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Quint"&gt;Quint&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:19 --&gt;This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are &amp;quot;fourth-thirds&amp;quot;, or father, temperaments.&lt;br /&gt;
-This tempers out 16/15, the just diatonic semitone. This equates 4/3 with 5/4, so these are &amp;quot;fourth-thirds&amp;quot;, or father, temperaments.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Father"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Father&lt;/h1&gt;
-Comma: 16/15&lt;br /&gt;
+ Comma: 16/15&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~3/2 = 743.986&lt;br /&gt;
@@ Line 89: / Line 87: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Father-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7-limit&lt;/h2&gt;
-Commas: 16/15, 28/27&lt;br /&gt;
+ Commas: 16/15, 28/27&lt;br /&gt;
 &lt;br /&gt;
 -limit minimax&lt;br /&gt;
@@ Line 105: / Line 103: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pater"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pater&lt;/h1&gt;
-Commas: 16/15, 126/125&lt;br /&gt;
+ Commas: 16/15, 126/125&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~3/2 = 753.113&lt;br /&gt;
@@ Line 115: / Line 113: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Walid"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Walid&lt;/h1&gt;
-Commas: 16/15, 50/49&lt;br /&gt;
+ Commas: 16/15, 50/49&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~3/2 = 749.415&lt;br /&gt;
@@ Line 125: / Line 123: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Baba"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Baba&lt;/h1&gt;
-Commas: 16/15, 49/45&lt;br /&gt;
+ Commas: 16/15, 49/45&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~8/7 = 226.704&lt;br /&gt;
@@ Line 135: / Line 133: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Quint"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Quint&lt;/h1&gt;
-Commas: 16/15, 27/25&lt;br /&gt;
+ Commas: 16/15, 27/25&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~8/7 = 182.097&lt;br /&gt;
 &lt;br /&gt;
-Map: [&amp;lt;5 8 12 0|, &amp;lt;0 0 0 1|]&lt;br /&gt;
+Map: [&amp;lt;5 8 12 0|, &amp;lt;0 0 0 -1|]&lt;br /&gt;
 Wedgie: &amp;lt;&amp;lt;0 0 5 0 8 12||&lt;br /&gt;
 EDOs: 5, 15cd&lt;br /&gt;
 Badness: 0.0483&lt;/body&gt;&lt;/html&gt;</pre></div>

Father family: Difference between revisions

Revision as of 08:27, 7 February 2012

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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