NumerologicalNontemperament: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Numerological Nontemperament is a scale developed by Rozencrantz the sane in a fit of irrationality. After reading about irrational ratios and [[Charles_Lucy|Charles Lucy]]'s use of pi, I wondered what a truly irrational scale would sound like. A rank-2 temperament, the [[Period|large generator]] is [[Wikipedia:Pi|pi]] (approximately 355/113, a wide 12th), used as the period, and the small [[generator]] is the [[golden ratio]] (around 830 cents)
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-22 16:13:00 UTC</tt>.<br>
: The original revision id was <tt>238245551</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">Numerological Nontemperament is a scale developed by Rozencrantz the sane in a fit of irrationality. After reading about irrational ratios and [[Charles Lucy]]'s use of pi, I wondered what a truly irrational scale would sound like. A rank-2 temperament, the large generator (formal-octave) is pi (approximately 355/113, a wide 12th) and the small generator is the Golden Ratio (around 830 cents)
The scale lies on top of the halberstadt keyboard quite nicely, though it lacks the key orientation that would make raised accidentals at all meaningful.
The scale lies on top of the halberstadt keyboard quite nicely, though it lacks the key orientation that would make raised accidentals at all meaningful.
<pre>
!
!
Irrational scale: Small generator is [[Golden Ratio]], Large generator is [[Pi]]
Irrational scale: Small generator is Golden Ratio, Large generator is Pi
19
19
!
!
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1754.28700
1754.28700
1868.04100
1868.04100
1981.79600</pre></div>
1981.79600</pre>
<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;NumerologicalNontemperament&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Numerological Nontemperament is a scale developed by Rozencrantz the sane in a fit of irrationality. After reading about irrational ratios and &lt;a class="wiki_link" href="/Charles%20Lucy"&gt;Charles Lucy&lt;/a&gt;'s use of pi, I wondered what a truly irrational scale would sound like. A rank-2 temperament, the large generator (formal-octave) is pi (approximately 355/113, a wide 12th) and the small generator is the Golden Ratio (around 830 cents)&lt;br /&gt;
[[Category:19-tone scales]]
The scale lies on top of the halberstadt keyboard quite nicely, though it lacks the key orientation that would make raised accidentals at all meaningful.&lt;br /&gt;
[[Category:Tempered scales]]
!&lt;br /&gt;
[[Category:Pages with mostly numerical content]]
Irrational scale: Small generator is &lt;a class="wiki_link" href="/Golden%20Ratio"&gt;Golden Ratio&lt;/a&gt;, Large generator is &lt;a class="wiki_link" href="/Pi"&gt;Pi&lt;/a&gt;&lt;br /&gt;
[[Category:Golden ratio]]
19&lt;br /&gt;
[[Category:Pi]]
!&lt;br /&gt;
[[Category:Transcendental]]
88.10600&lt;br /&gt;
[[Category:Pages with Scala files]]
201.86100&lt;br /&gt;
315.61500&lt;br /&gt;
403.72100&lt;br /&gt;
517.47500&lt;br /&gt;
605.58200&lt;br /&gt;
719.33600&lt;br /&gt;
833.09000&lt;br /&gt;
921.19600&lt;br /&gt;
1034.95100&lt;br /&gt;
1148.70500&lt;br /&gt;
1236.81100&lt;br /&gt;
1350.56600&lt;br /&gt;
1464.32000&lt;br /&gt;
1552.42600&lt;br /&gt;
1666.18100&lt;br /&gt;
1754.28700&lt;br /&gt;
1868.04100&lt;br /&gt;
1981.79600&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 03:03, 24 June 2025

Numerological Nontemperament is a scale developed by Rozencrantz the sane in a fit of irrationality. After reading about irrational ratios and Charles Lucy's use of pi, I wondered what a truly irrational scale would sound like. A rank-2 temperament, the large generator is pi (approximately 355/113, a wide 12th), used as the period, and the small generator is the golden ratio (around 830 cents)

The scale lies on top of the halberstadt keyboard quite nicely, though it lacks the key orientation that would make raised accidentals at all meaningful. 

!
Irrational scale: Small generator is Golden Ratio, Large generator is Pi
19
!
88.10600
201.86100
315.61500
403.72100
517.47500
605.58200
719.33600
833.09000
921.19600
1034.95100
1148.70500
1236.81100
1350.56600
1464.32000
1552.42600
1666.18100
1754.28700
1868.04100
1981.79600
Retrieved from "https://en.xen.wiki/index.php?title=NumerologicalNontemperament&oldid=203099"