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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''Stratosphere''' is a 37-limit [[regular temperament]] conceived by [[User:Kaiveran|Kaiveran]] that tempers out a plethora of [[unnoticeable comma]]s. 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". |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-05-08 17:22:26 UTC</tt>.<br>
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| : The original revision id was <tt>612402901</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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".
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| 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 qualifies as a [[Ragismic microtemperaments|ragismic microtemperament]], and is actually an extension of [[Ragismic microtemperaments #Quatracot|quatracot]]. |
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| (big ups to the temperament finder)
| | == Temperament data == |
| | Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37 |
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| Commas: 4375/4374, 9801/9800, 625/624, 123201/103200, 2058/2057, 1216/1215, 460/459, 494/493, 1024/1023, 481/480
| | [[Comma list]]: 460/459, 481/480, 494/493, 625/624, 729/728, 1024/1023, 1216/1215, 1575/1573, 2058/2057, 2200/2197 |
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| POTE generators: 600.0000, 176.7896
| | [[Mapping]]: [{{val| 2 7 7 23 19 13 40 30 50 5 -6 11 }}, {{val| 0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2 }}] |
| TOP generators: 600.0648, 176.8087 (~2 = 1200.130, well beyond the range of anyone caring)
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| 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|]
| | [[POTE generator]]s: ~99/70 = 600.0000, ~21/19 = 176.7896 |
| Wedgie: ???
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| EDOs: 224?
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| Badness: ???
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| http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&limit=37</pre></div>
| | [[TOP tuning|TOP generator]]s: 600.0648, 176.8087 |
| <h4>Original HTML content:</h4>
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| <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>Stratosphere</title></head><body><strong>Stratosphere</strong> is a 37-limit regular temperament conceived by Kaiveran that tempers out a plethora of <a class="wiki_link" href="/Unnoticeable%20commas">unnoticeable commas</a>. It gets its name from the fact that 37 pretty absurdly high to climb in the harmonic ladder. 37 is also the first <a class="wiki_link" href="/interseptimal">interseptimal</a> interval in the harmonic series (a &quot;hemifourth&quot;), so this general area is a distinct new territory, or stratum if you will, of the harmonic &quot;atmosphere&quot;.<br />
| | {{Optimal ET sequence|legend=1| 34dgghii, 190ghhiikl, 224hl }} |
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| 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 <a class="wiki_link" href="/Ragismic%20microtemperaments">ragismic microtemperament</a>.<br />
| | [[Badness]]: 0.046174 |
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| (big ups to the temperament finder)<br />
| | [[Category:Stratosphere| ]] <!-- main article --> |
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| | [[Category:Rank-2 temperaments]] |
| Commas: 4375/4374, 9801/9800, 625/624, 123201/103200, 2058/2057, 1216/1215, 460/459, 494/493, 1024/1023, 481/480<br />
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| POTE generators: 600.0000, 176.7896<br />
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| TOP generators: 600.0648, 176.8087 (~2 = 1200.130, well beyond the range of anyone caring)<br /> | |
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| 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|]<br />
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| Wedgie: ???<br />
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| EDOs: 224?<br />
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| Badness: ???<br />
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| <!-- ws:start:WikiTextUrlRule:19:http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&amp;limit=37 --><a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&amp;limit=37" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=224hl_34dgghii&amp;limit=37</a><!-- ws:end:WikiTextUrlRule:19 --></body></html></pre></div>
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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 qualifies as a ragismic microtemperament, and is actually an extension of quatracot.
Temperament data
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37
Comma list: 460/459, 481/480, 494/493, 625/624, 729/728, 1024/1023, 1216/1215, 1575/1573, 2058/2057, 2200/2197
Mapping: [⟨2 7 7 23 19 13 40 30 50 5 -6 11], ⟨0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2]]
POTE generators: ~99/70 = 600.0000, ~21/19 = 176.7896
TOP generators: 600.0648, 176.8087
Optimal ET sequence: 34dgghii, 190ghhiikl, 224hl
Badness: 0.046174