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 20:04:58 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-07 22:35:27 UTC</tt>.

: The original revision id was <tt>~~351332646~~</tt>.

: The original revision id was <tt>351349780</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 479:

Map: [<1 9 9 8|, <0 -10 -9 -7|]

EDOs: 4, 27, 31, 58, 89, 236c, 325cd

* [[Lp tuning#L2 tuning|L2 error]]: 1.903 cents

[[Lp tuning#L2 tuning|L2 error]]: 1.903 cents

[[image:myna_89edo.jpg]]

Line 492:

Sval name: 10&27

~~POTE~~ generator: ~13/8 = 842.711

[[Lp tuning|POL2 generator]]: ~13/8 = 842.711

[[Gencom]]:

[[Gencom]]: [2 13/8; 170/169 640/637 5525/5488]

Gencom map:

Gencom map: [<1 0 -4 0 0 3 9|, <0 0 9 4 0 1 -7|]

Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]

EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|~~487~~]]

EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, 178e, 309cde, [[xenharmonic/487edo|487bcdee]]

~~Error~~: 3.~~437~~

[[Lp tuning#L2 tuning|L2 error]]: 1.557 cents

[[image:silver_487edo.jpg]]

Line 512:

Sval name: 7&9

~~POTE~~ generator: ~175/128 = 527.236

[[Lp tuning|POL2 generator]]: ~175/128 = 527.236

[[Gencom]]:

[[Gencom]]: [2 175/128; 1071875/1048576]

Gencom map:

Gencom map: [<1 0 1 5}, <0, 0, 3, -5|]

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

EDOs: 7, 9, 16, 25, 41, 66

EDOs: 7, 9, 16, 25, 41, 66, 305bc

~~Error~~: 3.~~560~~

[[Lp tuning#L2 tuning|L2 error]]: 1.546 cents

[[image:mabila_66edo.jpg]]

Line 532:

Val name: 12&19

~~POTE~~ generator: 696.495

[[Lp tuning|POL2 generator]]: ~3/2 = 696.495

[[Gencom]]:

[[Gencom]]: [2 3/2; 81/80 126/125]

Gencom map:

Gencom map: [<1 1 0 -3|, <0 1 4 10|]

Map: [<1 0 -4 -13|, <0 1 4 10|]

EDOs: 5, 7, 12, 19, 31, 81, ~~112~~, ~~143~~

EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b

~~Error~~: 3.~~585~~

* [[Lp tuning#L2 tuning|L2 error]]: 2.763 cents

[[image:meantone_31edo.jpg]]

Line 1,562:

Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]

EDOs: 4, 27, 31, 58, 89, 236c, 325cd

~~<ul><li>~~<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.903 cents</~~li></ul~~>

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.903 cents

<img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" />

Line 1,574:

Line 1,575:

Sval name: 10&amp;27

~~POTE~~ generator: ~13/8 = 842.711

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~13/8 = 842.711

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

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/8; 170/169 640/637 5525/5488]

Gencom map:

Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]

Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]

EDOs: 7, 10, 17, 27, 37, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 84, 131, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">~~487~~</a>

EDOs: 7, 10, 17, 27, 37, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 84, 131, 178e, 309cde, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">487bcdee</a>

~~Error~~: 3.~~437~~

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.557 cents

<img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" />

Line 1,594:

Line 1,595:

Sval name: 7&amp;9

~~POTE~~ generator: ~175/128 = 527.236

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~175/128 = 527.236

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

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 175/128; 1071875/1048576]

Gencom map:

Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]

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

EDOs: 7, 9, 16, 25, 41, 66

EDOs: 7, 9, 16, 25, 41, 66, 305bc

~~Error~~: 3.~~560~~

<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.546 cents

<img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" />

Line 1,614:

Line 1,615:

Val name: 12&amp;19

~~POTE~~ generator: 696.495

<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 696.495

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

<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 81/80 126/125]

Gencom map:

Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]

Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]

EDOs: 5, 7, 12, 19, 31, 81, ~~112~~, ~~143~~

EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b

~~Error~~: 3.~~585~~

<ul><li><a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.763 cents</li></ul>

<img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.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 20:04:58 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-07 22:35:27 UTC</tt>.<br>
-: The original revision id was <tt>351332646</tt>.<br>
+: The original revision id was <tt>351349780</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 479: / Line 479: @@
 Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
 EDOs: 4, 27, 31, 58, 89, 236c, 325cd
-* [[Lp tuning#L2 tuning|L2 error]]: 1.903 cents
+[[Lp tuning#L2 tuning|L2 error]]: 1.903 cents
 [[image:myna_89edo.jpg]]
@@ Line 492: / Line 492: @@
 Sval name: 10&amp;27
-POTE generator: ~13/8 = 842.711
+[[Lp tuning|POL2 generator]]: ~13/8 = 842.711
-[[Gencom]]:
+[[Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
-Gencom map:
+Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]
 Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
-EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
+EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, 178e, 309cde, [[xenharmonic/487edo|487bcdee]]
-Error: 3.437
+[[Lp tuning#L2 tuning|L2 error]]: 1.557 cents
 [[image:silver_487edo.jpg]]
@@ Line 512: / Line 512: @@
 Sval name: 7&amp;9
-POTE generator: ~175/128 = 527.236
+[[Lp tuning|POL2 generator]]: ~175/128 = 527.236
-[[Gencom]]:
+[[Gencom]]: [2 175/128; 1071875/1048576]
-Gencom map:
+Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]
 Map: [&lt;1 1 5|, &lt;0 3 -5|]
-EDOs: 7, 9, 16, 25, 41, 66
+EDOs: 7, 9, 16, 25, 41, 66, 305bc
-Error: 3.560
+[[Lp tuning#L2 tuning|L2 error]]: 1.546 cents
 [[image:mabila_66edo.jpg]]
@@ Line 532: / Line 532: @@
 Val name: 12&amp;19
-POTE generator: 696.495
+[[Lp tuning|POL2 generator]]: ~3/2 = 696.495
-[[Gencom]]:
+[[Gencom]]: [2 3/2; 81/80 126/125]
-Gencom map:
+Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]
 Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
-EDOs: 5, 7, 12, 19, 31, 81, 112, 143
+EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
-Error: 3.585
+* [[Lp tuning#L2 tuning|L2 error]]: 2.763 cents
 [[image:meantone_31edo.jpg]]
@@ Line 1,562: / Line 1,562: @@
 Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
 EDOs: 4, 27, 31, 58, 89, 236c, 325cd&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;: 1.903 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;: 1.903 cents&lt;br /&gt;
+&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:210:&amp;lt;img src=&amp;quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:210 --&gt;&lt;br /&gt;
 &lt;br /&gt;
@@ Line 1,574: / Line 1,575: @@
 Sval name: 10&amp;amp;27&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~13/8 = 842.711&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/8 = 842.711&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 13/8; 170/169 640/637 5525/5488]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 0 -4 0 0 3 9|, &amp;lt;0 0 9 4 0 1 -7|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 5 4 4 2|, &amp;lt;0 -9 -4 -1 7|]&lt;br /&gt;
-EDOs: 7, 10, 17, 27, 37, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo"&gt;47&lt;/a&gt;, 84, 131, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo"&gt;487&lt;/a&gt;&lt;br /&gt;
+EDOs: 7, 10, 17, 27, 37, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo"&gt;47&lt;/a&gt;, 84, 131, 178e, 309cde, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo"&gt;487bcdee&lt;/a&gt;&lt;br /&gt;
-Error: 3.437&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.557 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:211:&amp;lt;img src=&amp;quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:211 --&gt;&lt;br /&gt;
@@ Line 1,594: / Line 1,595: @@
 Sval name: 7&amp;amp;9&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: ~175/128 = 527.236&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~175/128 = 527.236&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;: [2 175/128; 1071875/1048576]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 0 1 5}, &amp;lt;0, 0, 3, -5|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 5|, &amp;lt;0 3 -5|]&lt;br /&gt;
-EDOs: 7, 9, 16, 25, 41, 66&lt;br /&gt;
+EDOs: 7, 9, 16, 25, 41, 66, 305bc&lt;br /&gt;
-Error: 3.560&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.546 cents&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:212:&amp;lt;img src=&amp;quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:212 --&gt;&lt;br /&gt;
@@ Line 1,614: / Line 1,615: @@
 Val name: 12&amp;amp;19&lt;br /&gt;
 &lt;br /&gt;
-POTE generator: 696.495&lt;br /&gt;
+&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 696.495&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 3/2; 81/80 126/125]&lt;br /&gt;
-Gencom map:&lt;br /&gt;
+Gencom map: [&amp;lt;1 1 0 -3|, &amp;lt;0 1 4 10|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&lt;br /&gt;
-EDOs: 5, 7, 12, 19, 31, 81, 112, 143&lt;br /&gt;
+EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b&lt;br /&gt;
-Error: 3.585&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;: 2.763 cents&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
-&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:213:&amp;lt;img src=&amp;quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:213 --&gt;&lt;br /&gt;
 &lt;br /&gt;