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>2012-07-07 14:57:15 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-07 15:48:52 UTC</tt>.

: The original revision id was <tt>~~351290806~~</tt>.

: The original revision id was <tt>351302120</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 150:

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

EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc

* [[Lp tuning#L2 tuning|L2 error]]: 0.4222 cents

[[Lp tuning#L2 tuning|L2 error]]: 0.4222 cents

[[image:orgone_308edo.jpg]]

Line 171:

Map: [<1 0 1 0|, <0 6 5 14|]

EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd

[[Lp tuning#L2 tuning|L2 error]]: 0.~~4936~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 0.6001 cents

[[image:xenharmonic/cata_246edo2.jpg]]

Line 190:

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

EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b

EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b

[[Lp tuning#L2 tuning|L2 error]]: 0.~~5154~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 0.5985 cents

[[image:marveltwintri_321edo.png]]

Line 210:

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

EDOs: 7, 10, 17, 27, 37, 84, 121, ~~400~~

EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd

[[Lp tuning#L2 tuning|L2 error]]: 0.~~5409~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 0.8455 cents

[[image:huntington_400edo.jpg]]

Line 231:

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

EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190

[[Lp tuning#L2 tuning|L2 error]]: 0.~~6357~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 0.6403 cents

[[image:xenharmonic/slendric_190edo.jpg]]

Line 257:

Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]

EDOs: 7, 12, 17, 29, 41, 53, 65

EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d

[[Lp tuning#L2 tuning|L2 error]]: 0.~~6436~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 1.520 cents

[[image:photia_65edo.png]]

Line 277:

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

EDOs: 7, 17, 24, 65, 89, 202, 291, 380

[[Lp tuning#L2 tuning|L2 error]]: 0.~~6714~~ cents

[[Lp tuning#L2 tuning|L2 error]]: 0.6756 cents

[[image:neutraltet_380edo.png]]

Line 298:

Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]

EDOs: 6, 7, 13, 19, 25, 31, 37

[[Lp tuning#L2 tuning|L2 error]]: 0.~~6943~~ cents

* [[Lp tuning#L2 tuning|L2 error]]: 1.364 cents

[[image:xenharmonic/roulette_37edo.jpg]]

Line 1,233:

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

EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc

~~<ul><li>~~<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4222 cents</~~li></ul~~>

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4222 cents

<img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" />

Line 1,253:

Line 1,254:

Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]

EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.~~4936~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6001 cents

<img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" />

Line 1,272:

Line 1,273:

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

EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b

EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.~~5154~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.5985 cents

<img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="marveltwintri_321edo.png" title="marveltwintri_321edo.png" />

Line 1,292:

Line 1,293:

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

EDOs: 7, 10, 17, 27, 37, 84, 121, ~~400~~

EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.~~5409~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.8455 cents

<img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" />

Line 1,313:

Line 1,314:

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

EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.~~6357~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6403 cents

<img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" />

Line 1,339:

Line 1,340:

Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]

EDOs: 7, 12, 17, 29, 41, 53, 65

EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.~~6436~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.520 cents

<img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" />

Line 1,359:

Line 1,360:

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

EDOs: 7, 17, 24, 65, 89, 202, 291, 380

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.~~6714~~ cents

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6756 cents

<img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" />

Line 1,380:

Line 1,381:

Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]

EDOs: 6, 7, 13, 19, 25, 31, 37

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.~~6943~~ cents

<ul><li><a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.364 cents</li></ul>

<img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" />

@@ 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>2012-07-07 14:57:15 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-07 15:48:52 UTC</tt>.<br>
-: The original revision id was <tt>351290806</tt>.<br>
+: The original revision id was <tt>351302120</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 150: / Line 150: @@
 Map: [&lt;1 2 4|, &lt;0 3 -2|]
 EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc
-* [[Lp tuning#L2 tuning|L2 error]]: 0.4222 cents
+[[Lp tuning#L2 tuning|L2 error]]: 0.4222 cents
 [[image:orgone_308edo.jpg]]
@@ Line 171: / Line 171: @@
 Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
 EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
-[[Lp tuning#L2 tuning|L2 error]]: 0.4936 cents
+[[Lp tuning#L2 tuning|L2 error]]: 0.6001 cents
 [[image:xenharmonic/cata_246edo2.jpg]]
@@ Line 190: / Line 190: @@
 Map: [&lt;1 0 2|, &lt;0 1 -2|]
-EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b
+EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b
-[[Lp tuning#L2 tuning|L2 error]]: 0.5154 cents
+[[Lp tuning#L2 tuning|L2 error]]: 0.5985 cents
 [[image:marveltwintri_321edo.png]]
@@ Line 210: / Line 210: @@
 Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
-EDOs: 7, 10, 17, 27, 37, 84, 121, 400
+EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd
-[[Lp tuning#L2 tuning|L2 error]]: 0.5409 cents
+[[Lp tuning#L2 tuning|L2 error]]: 0.8455 cents
 [[image:huntington_400edo.jpg]]
@@ Line 231: / Line 231: @@
 Map: [&lt;1 1 3|, &lt;0 3 -1|]
 EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
-[[Lp tuning#L2 tuning|L2 error]]: 0.6357 cents
+[[Lp tuning#L2 tuning|L2 error]]: 0.6403 cents
 [[image:xenharmonic/slendric_190edo.jpg]]
@@ Line 257: / Line 257: @@
 Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
-EDOs: 7, 12, 17, 29, 41, 53, 65
+EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d
-[[Lp tuning#L2 tuning|L2 error]]: 0.6436 cents
+[[Lp tuning#L2 tuning|L2 error]]: 1.520 cents
 [[image:photia_65edo.png]]
@@ Line 277: / Line 277: @@
 Map: [&lt;1 1 2|, &lt;0 2 5|]
 EDOs: 7, 17, 24, 65, 89, 202, 291, 380
-[[Lp tuning#L2 tuning|L2 error]]: 0.6714 cents
+[[Lp tuning#L2 tuning|L2 error]]: 0.6756 cents
 [[image:neutraltet_380edo.png]]
@@ Line 298: / Line 298: @@
 Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
 EDOs: 6, 7, 13, 19, 25, 31, 37
-[[Lp tuning#L2 tuning|L2 error]]: 0.6943 cents
+* [[Lp tuning#L2 tuning|L2 error]]: 1.364 cents
 [[image:xenharmonic/roulette_37edo.jpg]]
@@ Line 1,233: / Line 1,233: @@
 Map: [&amp;lt;1 2 4|, &amp;lt;0 3 -2|]&lt;br /&gt;
 EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc&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;: 0.4222 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;: 0.4222 cents&lt;br /&gt;
+&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:197:&amp;lt;img src=&amp;quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:197 --&gt;&lt;br /&gt;
 &lt;br /&gt;
@@ Line 1,253: / Line 1,254: @@
 Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
 EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd&lt;br /&gt;
-&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.4936 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6001 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:198:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.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/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:198 --&gt;&lt;br /&gt;
@@ Line 1,272: / Line 1,273: @@
 &lt;br /&gt;
 Map: [&amp;lt;1 0 2|, &amp;lt;0 1 -2|]&lt;br /&gt;
-EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b&lt;br /&gt;
+EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b&lt;br /&gt;
-&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.5154 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.5985 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:199:&amp;lt;img src=&amp;quot;/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="marveltwintri_321edo.png" title="marveltwintri_321edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:199 --&gt;&lt;br /&gt;
@@ Line 1,292: / Line 1,293: @@
 &lt;br /&gt;
 Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
-EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
+EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd&lt;br /&gt;
-&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.5409 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.8455 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:200:&amp;lt;img src=&amp;quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:200 --&gt;&lt;br /&gt;
@@ Line 1,313: / Line 1,314: @@
 Map: [&amp;lt;1 1 3|, &amp;lt;0 3 -1|]&lt;br /&gt;
 EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190&lt;br /&gt;
-&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6357 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6403 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:201:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.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/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:201 --&gt;&lt;br /&gt;
@@ Line 1,339: / Line 1,340: @@
 &lt;br /&gt;
 Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
-EDOs: 7, 12, 17, 29, 41, 53, 65&lt;br /&gt;
+EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d&lt;br /&gt;
-&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6436 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.520 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:202:&amp;lt;img src=&amp;quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:202 --&gt;&lt;br /&gt;
@@ Line 1,359: / Line 1,360: @@
 Map: [&amp;lt;1 1 2|, &amp;lt;0 2 5|]&lt;br /&gt;
 EDOs: 7, 17, 24, 65, 89, 202, 291, 380&lt;br /&gt;
-&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6714 cents&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6756 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:203:&amp;lt;img src=&amp;quot;/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:203 --&gt;&lt;br /&gt;
@@ Line 1,380: / Line 1,381: @@
 Map: [&amp;lt;1 0 -3 -7 13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
 EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
-&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6943 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;: 1.364 cents&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
-&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:204:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.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/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:204 --&gt;&lt;br /&gt;
 &lt;br /&gt;