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)
Line 15: Line 8:


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>

Revision as of 00:00, 17 July 2018

Stratosphere is a 37-limit regular temperament conceived by Kaiveran that tempers out a plethora of 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 microtemperament.

(big ups to the temperament finder)

Commas: 4375/4374, 9801/9800, 625/624, 123201/103200, 2058/2057, 1216/1215, 460/459, 494/493, 1024/1023, 481/480

POTE generators: 600.0000, 176.7896

TOP generators: 600.0648, 176.8087 (~2 = 1200.130, well beyond the range of anyone caring)

Map: [<2 7 7 23 19 13 40 30 50 5 -6 11, <0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2|]

Wedgie: ???

EDOs: 224?

Badness: ???

http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&limit=37

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