Stratosphere: Difference between revisions

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**Imported revision 612402901 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''Stratosphere''' is a 37-limit regular temperament conceived by Kaiveran that tempers out a plethora of [[Unnoticeable_commas|unnoticeable commas]]. It gets its name from the fact that 37 pretty absurdly high to climb in the harmonic ladder. 37 is also the first [[Interseptimal|interseptimal]] interval in the harmonic series (a "hemifourth"), so this general area is a distinct new territory, or stratum if you will, of the harmonic "atmosphere".
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-05-08 17:22:26 UTC</tt>.<br>
: The original revision id was <tt>612402901</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">**Stratosphere** is a 37-limit regular temperament conceived by Kaiveran that tempers out a plethora of [[Unnoticeable commas|unnoticeable commas]]. It gets its name from the fact that 37 pretty absurdly high to climb in the harmonic ladder. 37 is also the first [[interseptimal]] interval in the harmonic series (a "hemifourth"), so this general area is a distinct new territory, or stratum if you will, of the harmonic "atmosphere".


Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 81/64 = 19/15, 27/20 = 23/17, etc.) Since it tempers out the ragisma, it could qualify as a [[Ragismic microtemperaments|ragismic microtemperament]].
Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 81/64 = 19/15, 27/20 = 23/17, etc.) Since it tempers out the ragisma, it could qualify as a [[Ragismic_microtemperaments|ragismic microtemperament]].


(big ups to the temperament finder)
(big ups to the temperament finder)
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POTE generators: 600.0000, 176.7896
POTE generators: 600.0000, 176.7896
TOP generators: 600.0648, 176.8087 (~2 = 1200.130, well beyond the range of anyone caring)
TOP generators: 600.0648, 176.8087 (~2 = 1200.130, well beyond the range of anyone caring)


Map: [&lt;2 7 7 23 19 13 40 30 50 5 -6 11, &lt;0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2|]
Map: [&lt;2 7 7 23 19 13 40 30 50 5 -6 11, &lt;0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2|]
Wedgie: ???
Wedgie: ???
EDOs: 224?
EDOs: 224?
Badness: ???
Badness: ???


http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&amp;limit=37</pre></div>
[http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&limit=37 http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&amp;limit=37]
<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;Stratosphere&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Stratosphere&lt;/strong&gt; is a 37-limit regular temperament conceived by Kaiveran that tempers out a plethora of &lt;a class="wiki_link" href="/Unnoticeable%20commas"&gt;unnoticeable commas&lt;/a&gt;. It gets its name from the fact that 37 pretty absurdly high to climb in the harmonic ladder. 37 is also the first &lt;a class="wiki_link" href="/interseptimal"&gt;interseptimal&lt;/a&gt; interval in the harmonic series (a &amp;quot;hemifourth&amp;quot;), so this general area is a distinct new territory, or stratum if you will, of the harmonic &amp;quot;atmosphere&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 81/64 = 19/15, 27/20 = 23/17, etc.) Since it tempers out the ragisma, it could qualify as a &lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;ragismic microtemperament&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
(big ups to the temperament finder)&lt;br /&gt;
&lt;br /&gt;
Commas: 4375/4374, 9801/9800, 625/624, 123201/103200, 2058/2057, 1216/1215, 460/459, 494/493, 1024/1023, 481/480&lt;br /&gt;
&lt;br /&gt;
POTE generators: 600.0000, 176.7896&lt;br /&gt;
TOP generators: 600.0648, 176.8087 (~2 = 1200.130, well beyond the range of anyone caring)&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 7 7 23 19 13 40 30 50 5 -6 11, &amp;lt;0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2|]&lt;br /&gt;
Wedgie: ???&lt;br /&gt;
EDOs: 224?&lt;br /&gt;
Badness: ???&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:19:http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&amp;amp;limit=37 --&gt;&lt;a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&amp;amp;limit=37" rel="nofollow"&gt;http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&amp;amp;limit=37&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:19 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>