Septisemi temperaments: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Wikispaces>genewardsmith
**Imported revision 298704404 - Original comment: **
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
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>2012-02-05 20:52:25 UTC</tt>.<br>
: The original revision id was <tt>298704404</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">[[toc|flat]]
 
These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/3 with 7/4, and 10/7 with 3/2.
These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/3 with 7/4, and 10/7 with 3/2.


=Fluorine=  
=Fluorine=
Commas: 21/20, 243/224
Commas: 21/20, 243/224


Line 16: Line 8:


Map: [&lt;1 0 -7 -5|, &lt;0 1 6 5|]
Map: [&lt;1 0 -7 -5|, &lt;0 1 6 5|]
Wedgie: &lt;&lt;1 6 5 7 5 -5||
Wedgie: &lt;&lt;1 6 5 7 5 -5||
EDOs: 9, 20bd, 29bd
EDOs: 9, 20bd, 29bd
Badness: 0.0556
Badness: 0.0556


Line 26: Line 21:


Map: [&lt;1 1 1 2|, &lt;0 2 5 3|]
Map: [&lt;1 1 1 2|, &lt;0 2 5 3|]
Wedgie: &lt;&lt;2 5 3 3 -1 -7||
Wedgie: &lt;&lt;2 5 3 3 -1 -7||
EDOs: 4, 11, 15b
EDOs: 4, 11, 15b
Badness: 0.0558
Badness: 0.0558


Line 36: Line 34:


Map: [&lt;1 2 3 3|, &lt;0 -3 -5 -2|]
Map: [&lt;1 2 3 3|, &lt;0 -3 -5 -2|]
Wedgie: &lt;&lt;3 5 2 1 -5 -9||
Wedgie: &lt;&lt;3 5 2 1 -5 -9||
EDOs: 7d, 8
EDOs: 7d, 8
Badness: 0.0599
Badness: 0.0599
</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;Septisemi temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Fluorine"&gt;Fluorine&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt; | &lt;a href="#Sodium"&gt;Sodium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#Oxygen"&gt;Oxygen&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/3 with 7/4, and 10/7 with 3/2.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Fluorine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Fluorine&lt;/h1&gt;
Commas: 21/20, 243/224&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 663.059&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -7 -5|, &amp;lt;0 1 6 5|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;1 6 5 7 5 -5||&lt;br /&gt;
EDOs: 9, 20bd, 29bd&lt;br /&gt;
Badness: 0.0556&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Sodium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Sodium&lt;/h1&gt;
Commas: 21/20, 54/49&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~7/6 = 320.182&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2|, &amp;lt;0 2 5 3|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;2 5 3 3 -1 -7||&lt;br /&gt;
EDOs: 4, 11, 15b&lt;br /&gt;
Badness: 0.0558&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Oxygen"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Oxygen&lt;/h1&gt;
Commas: 21/20, 175/162&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~7/6 = 169.112&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 3|, &amp;lt;0 -3 -5 -2|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;3 5 2 1 -5 -9||&lt;br /&gt;
EDOs: 7d, 8&lt;br /&gt;
Badness: 0.0599&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/3 with 7/4, and 10/7 with 3/2.

Fluorine

Commas: 21/20, 243/224

POTE generator: ~3/2 = 663.059

Map: [<1 0 -7 -5|, <0 1 6 5|]

Wedgie: <<1 6 5 7 5 -5||

EDOs: 9, 20bd, 29bd

Badness: 0.0556

Sodium

Commas: 21/20, 54/49

POTE generator: ~7/6 = 320.182

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

Wedgie: <<2 5 3 3 -1 -7||

EDOs: 4, 11, 15b

Badness: 0.0558

Oxygen

Commas: 21/20, 175/162

POTE generator: ~7/6 = 169.112

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

Wedgie: <<3 5 2 1 -5 -9||

EDOs: 7d, 8

Badness: 0.0599

Retrieved from "https://en.xen.wiki/index.php?title=Septisemi_temperaments&oldid=3428"