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 13:25:07 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-08 16:20:17 UTC</tt>.

: The original revision id was <tt>~~351442572~~</tt>.

: The original revision id was <tt>351466196</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 661:

Map: [<1 3 6 7|, <0 -4 -9 -10|]

EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd

* [[Lp tuning#L2 tuning|L2 error]]: 2.457 cents

[[Lp tuning#L2 tuning|L2 error]]: 2.457 cents

[[image:skwares_206edo.png]]

Line 671:

=Sensi=

Group: 2.3.5.7

Commas: 126/~~126~~, 245/243

Commas: 126/125, 245/243

Val name: 19&27

~~POTE~~ generator: ~9/7 = 443.383

[[Lp tuning|POL2 generator]]: ~9/7 = 443.383

[[Gencom]]:

[[Gencom]]: [2 9/7; 126/125 245/243]

Gencom map:

Gencom map: [<1 -1 -1 -2|, <0 7 9 13|]

Map: [<1 6 8 11|, <0 -7 -9 -13|]

EDOs: 5, 8, 11, 19, 27, 46

EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd

~~Error~~: 5.~~019~~

[[Lp tuning#L2 tuning|L2 error]]: 2.647 cents

[[image:xenharmonic/sensi_46edo.jpg]]

Line 694:

Commas: 121/120, 126/125

~~POTE~~ generator: ~11/10 = ~~156~~.~~055~~

[[Lp tuning|POL2 generator]]: ~11/10 = 155.776

Related temperament: [[Porcupine family#Opossum|Opossum]]

[[Gencom]]:

[[Gencom]]: [2 11/10; 121/120 126/125]

Gencom map:

Gencom map: <1 -5/4 -1/4 3/4 3/4|, <0 9/4 1/4 -15/4 5/4|]

Map: [<1 1 2 2|, <0 -2 -6 -1|]

EDOs: 8, 15, 23, 77, 100

EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd

~~Error~~: 5.~~404~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 2.313 cents

[[image:greeley_100edo.png]]

Line 716:

Sval name: 8&29

~~POTE~~ generator: ~13/10 = 453.~~190~~

[[Lp tuning|POL2 generator]]: ~13/10 = 453.242

[[Gencom]]:

[[Gencom]]: [2 13/10; 121/120 169/168 275/273]

Gencom map:

Gencom map: [<1 -3 0 2 0 1|, <0 24/5 -6/5 -26/5 9/5 -1/5|]

Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]

EDOs: 5, 8, 13, 21, 29, 37, 45

EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,

~~Error~~: 5.~~433~~ cents

* [[Lp tuning#L2 tuning|L2 error]]: 2.577 cents

[[image:semidim_770edo.png]]

Line 1,744:

Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]

EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd

~~<ul><li>~~<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.457 cents</~~li></ul~~>

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.457 cents

<img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" />

Line 1,753:

Line 1,754:

<h1 id="toc37"><a name="Sensi"></a>Sensi</h1>

Group: 2.3.5.7

Commas: 126/~~126~~, 245/243

Commas: 126/125, 245/243

Val name: 19&amp;27

~~POTE~~ generator: ~9/7 = 443.383

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/7 = 443.383

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

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 126/125 245/243]

Gencom map:

Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]

Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]

EDOs: 5, 8, 11, 19, 27, 46

EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd

~~Error~~: 5.~~019~~

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.647 cents

<img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" />

Line 1,776:

Line 1,777:

Commas: 121/120, 126/125

~~POTE~~ generator: ~11/10 = ~~156~~.~~055~~

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/10 = 155.776

Related temperament: <a class="wiki_link" href="/Porcupine%20family#Opossum">Opossum</a>

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

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/10; 121/120 126/125]

Gencom map:

Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]

Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]

EDOs: 8, 15, 23, 77, 100

EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd

~~Error~~: 5.~~404~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.313 cents

<img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" />

Line 1,798:

Line 1,799:

Sval name: 8&amp;29

~~POTE~~ generator: ~13/10 = 453.~~190~~

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/10 = 453.242

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

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 121/120 169/168 275/273]

Gencom map:

Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]

Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]

EDOs: 5, 8, 13, 21, 29, 37, 45

EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,

~~Error~~: 5.~~433~~ cents

<ul><li><a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.577 cents</li></ul>

<img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" />

@@ 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 13:25:07 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-08 16:20:17 UTC</tt>.<br>
-: The original revision id was <tt>351442572</tt>.<br>
+: The original revision id was <tt>351466196</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 661: / Line 661: @@
 Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
 EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd
-* [[Lp tuning#L2 tuning|L2 error]]: 2.457 cents
+[[Lp tuning#L2 tuning|L2 error]]: 2.457 cents
 [[image:skwares_206edo.png]]
@@ Line 671: / Line 671: @@
 =Sensi=
 Group: 2.3.5.7
-Commas: 126/126, 245/243
+Commas: 126/125, 245/243
 Val name: 19&amp;27
-POTE generator: ~9/7 = 443.383
+[[Lp tuning|POL2 generator]]: ~9/7 = 443.383
-[[Gencom]]:
+[[Gencom]]: [2 9/7; 126/125 245/243]
-Gencom map:
+Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]
 Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
-EDOs: 5, 8, 11, 19, 27, 46
+EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
-Error: 5.019
+[[Lp tuning#L2 tuning|L2 error]]: 2.647 cents
 [[image:xenharmonic/sensi_46edo.jpg]]
@@ Line 694: / Line 694: @@
 Commas: 121/120, 126/125
-POTE generator: ~11/10 = 156.055
+[[Lp tuning|POL2 generator]]: ~11/10 = 155.776
 Related temperament: [[Porcupine family#Opossum|Opossum]]
-[[Gencom]]:
+[[Gencom]]: [2 11/10; 121/120 126/125]
-Gencom map:
+Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]
 Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
-EDOs: 8, 15, 23, 77, 100
+EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd
-Error: 5.404 cents
+[[Lp tuning#L2 tuning|L2 error]]: 2.313 cents
 [[image:greeley_100edo.png]]
@@ Line 716: / Line 716: @@
 Sval name: 8&amp;29
-POTE generator: ~13/10 = 453.190
+[[Lp tuning|POL2 generator]]: ~13/10 = 453.242
-[[Gencom]]:
+[[Gencom]]: [2 13/10; 121/120 169/168 275/273]
-Gencom map:
+Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]
 Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
-EDOs: 5, 8, 13, 21, 29, 37, 45
+EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,
-Error: 5.433 cents
+* [[Lp tuning#L2 tuning|L2 error]]: 2.577 cents
 [[image:semidim_770edo.png]]
@@ Line 1,744: / Line 1,744: @@
 Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
 EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd&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;: 2.457 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;: 2.457 cents&lt;br /&gt;
+&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:217:&amp;lt;img src=&amp;quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:217 --&gt;&lt;br /&gt;
 &lt;br /&gt;
@@ Line 1,753: / Line 1,754: @@
 &lt;!-- ws:start:WikiTextHeadingRule:75:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:75 --&gt;Sensi&lt;/h1&gt;
   Group: 2.3.5.7&lt;br /&gt;
-Commas: 126/126, 245/243&lt;br /&gt;
+Commas: 126/125, 245/243&lt;br /&gt;
 Val name: 19&amp;amp;27&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~9/7 = 443.383&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 443.383&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; 126/125 245/243]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 -1 -1 -2|, &amp;lt;0 7 9 13|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
-EDOs: 5, 8, 11, 19, 27, 46&lt;br /&gt;
+EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd&lt;br /&gt;
-Error: 5.019&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.647 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:218:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:218 --&gt;&lt;br /&gt;
@@ Line 1,776: / Line 1,777: @@
 Commas: 121/120, 126/125&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~11/10 = 156.055&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/10 = 155.776&lt;br /&gt;
 Related temperament: &lt;a class="wiki_link" href="/Porcupine%20family#Opossum"&gt;Opossum&lt;/a&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 11/10; 121/120 126/125]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: &amp;lt;1 -5/4 -1/4 3/4 3/4|, &amp;lt;0 9/4 1/4 -15/4 5/4|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
-EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
+EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd&lt;br /&gt;
-Error: 5.404 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.313 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:219:&amp;lt;img src=&amp;quot;/file/view/greeley_100edo.png/284867960/greeley_100edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:219 --&gt;&lt;br /&gt;
@@ Line 1,798: / Line 1,799: @@
 Sval name: 8&amp;amp;29&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~13/10 = 453.190&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/10 = 453.242&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 13/10; 121/120 169/168 275/273]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 -3 0 2 0 1|, &amp;lt;0 24/5 -6/5 -26/5 9/5 -1/5|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 3 5 3 4|, &amp;lt;0 -6 -10 -3 -5|]&lt;br /&gt;
-EDOs: 5, 8, 13, 21, 29, 37, 45&lt;br /&gt;
+EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde, &lt;br /&gt;
-Error: 5.433 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;: 2.577 cents&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
-&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:220:&amp;lt;img src=&amp;quot;/file/view/semidim_770edo.png/284868918/semidim_770edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:220 --&gt;&lt;br /&gt;
 &lt;br /&gt;