Mint temperaments: 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:<br>

: This revision was by author [[User:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>2011-02-~~26 14~~:36:06 UTC</tt>.<br>

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-23 17:23:31 UTC</tt>.<br>

: The original revision id was <tt>~~205266502~~</tt>.<br>

: The original revision id was <tt>238463913</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">These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. 36 is both a square and a triangular number, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.

<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">These are low complexity, high error temperaments tempering out the septimal quarter-tone, [[36_35|36/35]]. 36 is both a square and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.

==Progression==

~~Commas~~: 36/35, 392/375

[[Comma]]s: 36/35, 392/375

[[POTE tuning|POTE generator]]: ~15/14 = 140.927

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

EDOs: 8, 9, 17

EDOs: [[8edo|8]], [[9edo|9]], [[17edo|17]]

Badness: 0.0484

[[Badness]]: 0.0484

===11-limit===

Line 50:

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

EDOs: 8, 9, 17, 94

EDOs: 8, 9, 17, [[94edo|94]]

Badness: 0.0168

Line 60:

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

Wedgie: <<5 8 2 1 -11 -18||

EDOs: 12

EDOs: [[12edo|12]]

Badness: 0.0597

</pre></div>

<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"><html><head><title>Mint temperaments</title></head><body>These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. 36 is both a square and a triangular number, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.<br />

<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"><html><head><title>Mint temperaments</title></head><body>These are low complexity, high error temperaments tempering out the septimal quarter-tone, <a class="wiki_link" href="/36_35">36/35</a>. 36 is both a square and a <a class="wiki_link" href="/triangular%20number">triangular number</a>, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.<br />

<br />

<h2 id="toc0"><a name="x-Progression"></a>Progression</h2>

~~Commas~~: 36/35, 392/375<br />

<a class="wiki_link" href="/Comma">Comma</a>s: 36/35, 392/375<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.927<br />

<br />

Map: [&lt;1 1 2 2|, &lt;0 5 3 7|]<br />

EDOs: 8, 9, 17<br />

EDOs: <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/17edo">17</a><br />

Badness: 0.0484<br />

<a class="wiki_link" href="/Badness">Badness</a>: 0.0484<br />

<br />

<h3 id="toc1"><a name="x-Progression-11-limit"></a>11-limit</h3>

Line 108:

<br />

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

EDOs: 8, 9, 17, 94<br />

EDOs: 8, 9, 17, <a class="wiki_link" href="/94edo">94</a><br />

Badness: 0.0168<br />

<br />

Line 118:

Map: [&lt;1 2 3 3|, &lt;0 -5 -8 -2|]<br />

Wedgie: &lt;&lt;5 8 2 1 -11 -18||<br />

EDOs: 12<br />

EDOs: <a class="wiki_link" href="/12edo">12</a><br />

Badness: 0.0597</body></html></pre></div>

@@ 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>2011-02-26 14:36:06 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-23 17:23:31 UTC</tt>.<br>
-: The original revision id was <tt>205266502</tt>.<br>
+: The original revision id was <tt>238463913</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">These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. 36 is both a square and a triangular number, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.
+<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">These are low complexity, high error temperaments tempering out the septimal quarter-tone, [[36_35|36/35]]. 36 is both a square and a [[triangular number]], and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.
 ==Progression==
-Commas: 36/35, 392/375
+[[Comma]]s: 36/35, 392/375
 [[POTE tuning|POTE generator]]: ~15/14 = 140.927
 Map: [&lt;1 1 2 2|, &lt;0 5 3 7|]
-EDOs: 8, 9, 17
+EDOs: [[8edo|8]], [[9edo|9]], [[17edo|17]]
-Badness: 0.0484
+[[Badness]]: 0.0484
 ===11-limit===
@@ Line 50: / Line 50: @@
 Map: [&lt;1 1 2 2 3 3 4 4|, &lt;0 5 3 7 4 6 1 2|]
-EDOs: 8, 9, 17, 94
+EDOs: 8, 9, 17, [[94edo|94]]
 Badness: 0.0168
@@ Line 60: / Line 60: @@
 Map: [&lt;1 2 3 3|, &lt;0 -5 -8 -2|]
 Wedgie: &lt;&lt;5 8 2 1 -11 -18||
-EDOs: 12
+EDOs: [[12edo|12]]
 Badness: 0.0597
 </pre></div>
 <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;Mint temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. 36 is both a square and a triangular number, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.&lt;br /&gt;
+<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;Mint temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;These are low complexity, high error temperaments tempering out the septimal quarter-tone, &lt;a class="wiki_link" href="/36_35"&gt;36/35&lt;/a&gt;. 36 is both a square and a &lt;a class="wiki_link" href="/triangular%20number"&gt;triangular number&lt;/a&gt;, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Progression"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Progression&lt;/h2&gt;
-Commas: 36/35, 392/375&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 36/35, 392/375&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~15/14 = 140.927&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 2 2|, &amp;lt;0 5 3 7|]&lt;br /&gt;
-EDOs: 8, 9, 17&lt;br /&gt;
+EDOs: &lt;a class="wiki_link" href="/8edo"&gt;8&lt;/a&gt;, &lt;a class="wiki_link" href="/9edo"&gt;9&lt;/a&gt;, &lt;a class="wiki_link" href="/17edo"&gt;17&lt;/a&gt;&lt;br /&gt;
-Badness: 0.0484&lt;br /&gt;
+&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0484&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Progression-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h3&gt;
@@ Line 108: / Line 108: @@
 &lt;br /&gt;
 Map: [&amp;lt;1 1 2 2 3 3 4 4|, &amp;lt;0 5 3 7 4 6 1 2|]&lt;br /&gt;
-EDOs: 8, 9, 17, 94&lt;br /&gt;
+EDOs: 8, 9, 17, &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;&lt;br /&gt;
 Badness: 0.0168&lt;br /&gt;
 &lt;br /&gt;
@@ Line 118: / Line 118: @@
 Map: [&amp;lt;1 2 3 3|, &amp;lt;0 -5 -8 -2|]&lt;br /&gt;
 Wedgie: &amp;lt;&amp;lt;5 8 2 1 -11 -18||&lt;br /&gt;
-EDOs: 12&lt;br /&gt;
+EDOs: &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;&lt;br /&gt;
 Badness: 0.0597&lt;/body&gt;&lt;/html&gt;</pre></div>