Chromatic pairs: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-08 17:55:11 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-08 21:06:46 UTC</tt>.

: The original revision id was <tt>~~351479212~~</tt>.

: The original revision id was <tt>351512970</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Line 817:

Map: [<1 1 0|, <0 2 3|]

EDOS: 13, 30, 43, 73, 116b

* [[Lp tuning#L2 tuning|L2 error]]: 2.070 cents

[[Lp tuning#L2 tuning|L2 error]]: 2.070 cents

[[image:lovecraft_116edo.png]]

Line 830:

Sval name: 9&17

~~POTE~~ generator: ~13/12 = 139.990

[[Lp tuning|POL2 generator]]: ~13/12 = 139.990

[[Gencom]]:

[[Gencom]]: [2 13/12; 78/77 99/98 144/143]

Gencom map:

Gencom map: [<1 1 0 2 3 3|, <0 5 0 7 4 6|]

Map: [<1 1 2 3 3|, <0 5 7 4 6|]

EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]

~~Error~~: 6.~~361~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 4.292 cents

[[image:blue_60edo.png]]

Line 850:

Related temperament: [[xenharmonic/Meantone family|mohajira]]

~~POTE~~ generator: ~11/9 = 348.094

[[Lp tuning|POL2 generator]]: ~11/9 = 348.094

[[Gencom]]:

[[Gencom]]: [2 11/9; 81/80 121/120]

Gencom map:

Gencom map: [<1 1 0 0 2|, <[0 2 8 0 5|]

Map: [<1 1 0 2|, <0 2 8 5|]

EDOs: 24, 31, 69d, 100d, 131bd

~~Error~~: 6.~~733~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 3.113 cents

[[image:mohaha_131edo.png]]

Line 871:

Commas: 66/65, 81/80, 121/120

~~POTE~~ generator: ~11/9 = 348.916

[[Lp tuning|POL2 generator]]: ~11/9 = 348.916

[[Gencom]]:

[[Gencom]]: [2 11/9; 66/65 81/80 121/120]

Gencom map:

Gencom map: [<1 1 0 0 2 4|, <0 2 8 0 5 -1|]

Map: [<1 1 0 2 4|, <0 2 8 5 -1|]

EDOs: 17c, 24, 31, 55, 86de, 141cde

~~Error~~: 9.~~556~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 4.829 cents

=Stacks=

Line 885:

Svalname: 11&30

~~POTE~~ generator: ~9/7 = ~~438~~.~~977~~

[[Lp tuning|POL2 generator]]: ~9/7 = 439.146

[[Gencom]]:

[[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]

Gencom map:

Gencom map: [<1 5/2 5/2 5 2 7|, <0 -5/2 -1/2 -6 4 -9|]

Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|]

EDOs: 11, 30, 41

EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef

~~Error~~: 6.~~947~~ cents

* [[Lp tuning#L2 tuning|L2 error]]: 3.772 cents

[[xenharmonic/stacks5|Five note haplotonic scale]]

Line 1,901:

Map: [&lt;1 1 0|, &lt;0 2 3|]

EDOS: 13, 30, 43, 73, 116b

~~<ul><li>~~<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.070 cents</~~li></ul~~>

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.070 cents

<img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" />

Line 1,913:

Line 1,914:

Sval name: 9&amp;17

~~POTE~~ generator: ~13/12 = 139.990

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/12 = 139.990

<a class="wiki_link" href="/Gencom">Gencom</a>:

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/12; 78/77 99/98 144/143]

Gencom map:

Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]

Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]

EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a>

~~Error~~: 6.~~361~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.292 cents

<img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" />

Line 1,933:

Line 1,934:

Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">mohajira</a>

~~POTE~~ generator: ~11/9 = 348.094

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/9 = 348.094

<a class="wiki_link" href="/Gencom">Gencom</a>:

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 81/80 121/120]

Gencom map:

Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]

Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]

EDOs: 24, 31, 69d, 100d, 131bd

~~Error~~: 6.~~733~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.113 cents

<img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" />

Line 1,954:

Line 1,955:

Commas: 66/65, 81/80, 121/120

~~POTE~~ generator: ~11/9 = 348.916

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/9 = 348.916

<a class="wiki_link" href="/Gencom">Gencom</a>:

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 66/65 81/80 121/120]

Gencom map:

Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]

Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]

EDOs: 17c, 24, 31, 55, 86de, 141cde

~~Error~~: 9.~~556~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.829 cents

<h1 id="toc50"><a name="Stacks"></a>Stacks</h1>

Line 1,968:

Line 1,969:

Svalname: 11&amp;30

~~POTE~~ generator: ~9/7 = ~~438~~.~~977~~

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 439.146

<a class="wiki_link" href="/Gencom">Gencom</a>:

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 100/99 105/104 144/143 196/195]

Gencom map:

Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]

Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]

EDOs: 11, 30, 41

EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef

~~Error~~: 6.~~947~~ cents

<ul><li><a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.772 cents</li></ul>

<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a>

<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8">Eight note albitonic scale</a>

@@ 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>2012-07-08 17:55:11 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-08 21:06:46 UTC</tt>.<br>
-: The original revision id was <tt>351479212</tt>.<br>
+: The original revision id was <tt>351512970</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>
@@ Line 817: / Line 817: @@
 Map: [&lt;1 1 0|, &lt;0 2 3|]
 EDOS: 13, 30, 43, 73, 116b
-* [[Lp tuning#L2 tuning|L2 error]]: 2.070 cents
+[[Lp tuning#L2 tuning|L2 error]]: 2.070 cents
 [[image:lovecraft_116edo.png]]
@@ Line 830: / Line 830: @@
 Sval name: 9&amp;17
-POTE generator: ~13/12 = 139.990
+[[Lp tuning|POL2 generator]]: ~13/12 = 139.990
-[[Gencom]]:
+[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
-Gencom map:
+Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]
 Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
 EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
-Error: 6.361 cents
+[[Lp tuning#L2 tuning|L2 error]]: 4.292 cents
 [[image:blue_60edo.png]]
@@ Line 850: / Line 850: @@
 Related temperament: [[xenharmonic/Meantone family|mohajira]]
-POTE generator: ~11/9 = 348.094
+[[Lp tuning|POL2 generator]]: ~11/9 = 348.094
-[[Gencom]]:
+[[Gencom]]: [2 11/9; 81/80 121/120]
-Gencom map:
+Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]
 Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
 EDOs: 24, 31, 69d, 100d, 131bd
-Error: 6.733 cents
+[[Lp tuning#L2 tuning|L2 error]]: 3.113 cents
 [[image:mohaha_131edo.png]]
@@ Line 871: / Line 871: @@
 Commas: 66/65, 81/80, 121/120
-POTE generator: ~11/9 = 348.916
+[[Lp tuning|POL2 generator]]: ~11/9 = 348.916
-[[Gencom]]:
+[[Gencom]]: [2 11/9; 66/65 81/80 121/120]
-Gencom map:
+Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]
 Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
 EDOs: 17c, 24, 31, 55, 86de, 141cde
-Error: 9.556 cents
+[[Lp tuning#L2 tuning|L2 error]]: 4.829 cents
 =Stacks=
@@ Line 885: / Line 885: @@
 Svalname: 11&amp;30
-POTE generator: ~9/7 = 438.977
+[[Lp tuning|POL2 generator]]: ~9/7 = 439.146
-[[Gencom]]:
+[[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
-Gencom map:
+Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]
 Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
-EDOs: 11, 30, 41
+EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
-Error: 6.947 cents
+* [[Lp tuning#L2 tuning|L2 error]]: 3.772 cents
 [[xenharmonic/stacks5|Five note haplotonic scale]]
@@ Line 1,901: / Line 1,901: @@
 Map: [&amp;lt;1 1 0|, &amp;lt;0 2 3|]&lt;br /&gt;
 EDOS: 13, 30, 43, 73, 116b&lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.070 cents&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.070 cents&lt;br /&gt;
+&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:222:&amp;lt;img src=&amp;quot;/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:222 --&gt;&lt;br /&gt;
 &lt;br /&gt;
@@ Line 1,913: / Line 1,914: @@
 Sval name: 9&amp;amp;17&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~13/12 = 139.990&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/12 = 139.990&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/12; 78/77 99/98 144/143]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 1 0 2 3 3|, &amp;lt;0 5 0 7 4 6|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 2 3 3|, &amp;lt;0 5 7 4 6|]&lt;br /&gt;
 EDOs: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo"&gt;43&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo"&gt;60c&lt;/a&gt;&lt;br /&gt;
-Error: 6.361 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.292 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:223:&amp;lt;img src=&amp;quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:223 --&gt;&lt;br /&gt;
@@ Line 1,933: / Line 1,934: @@
 Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~11/9 = 348.094&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 348.094&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 81/80 121/120]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 1 0 0 2|, &amp;lt;[0 2 8 0 5|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
 EDOs: 24, 31, 69d, 100d, 131bd&lt;br /&gt;
-Error: 6.733 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.113 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:224:&amp;lt;img src=&amp;quot;/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:224 --&gt;&lt;br /&gt;
@@ Line 1,954: / Line 1,955: @@
 Commas: 66/65, 81/80, 121/120&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~11/9 = 348.916&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 348.916&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 66/65 81/80 121/120]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 1 0 0 2 4|, &amp;lt;0 2 8 0 5 -1|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
 EDOs: 17c, 24, 31, 55, 86de, 141cde&lt;br /&gt;
-Error: 9.556 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.829 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:101:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc50"&gt;&lt;a name="Stacks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:101 --&gt;Stacks&lt;/h1&gt;
@@ Line 1,968: / Line 1,969: @@
 Svalname: 11&amp;amp;30&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~9/7 = 438.977&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 439.146&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 100/99 105/104 144/143 196/195]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 5/2 5/2 5 2 7|, &amp;lt;0 -5/2 -1/2 -6 4 -9|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 2 -1 6 -2|, &amp;lt;0 5 3 6 -4 9|]&lt;br /&gt;
-EDOs: 11, 30, 41&lt;br /&gt;
+EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef&lt;br /&gt;
-Error: 6.947 cents&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.772 cents&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
-&lt;br /&gt;
 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;