|
|
| (8 intermediate revisions by 7 users not shown) |
| Line 1: |
Line 1: |
| <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>
| |
| : This revision was by author [[User:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-05-05 23:12:49 UTC</tt>.<br>
| |
| : The original revision id was <tt>612233843</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 semifourth), 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 qualifies as a [[Ragismic microtemperaments|ragismic microtemperament]], and is actually an extension of [[Ragismic microtemperaments #Quatracot|quatracot]]. |
|
| |
|
| (big ups to the temperament finder)
| | == Temperament data == |
| | Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37 |
|
| |
|
| 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 |
|
| |
|
| 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)
| |
|
| |
|
| 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: ???
| | |
| EDOs: 224?
| | [[TOP tuning|TOP generator]]s: 600.0648, 176.8087 |
| Badness: ???</pre></div>
| | |
| <h4>Original HTML content:</h4>
| | {{Optimal ET sequence|legend=1| 34dgghii, 190ghhiikl, 224hl }} |
| <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 semifourth), so this general area is a distinct new territory, or stratum if you will, of the harmonic &quot;atmosphere&quot;.<br />
| | |
| <br />
| | [[Badness]]: 0.046174 |
| 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 />
| | |
| <br />
| | [[Category:Stratosphere| ]] <!-- main article --> |
| (big ups to the temperament finder)<br />
| | [[Category:Rank-2 temperaments]] |
| <br />
| |
| Commas: 4375/4374, 9801/9800, 625/624, 123201/103200, 2058/2057, 1216/1215, 460/459, 494/493, 1024/1023, 481/480<br />
| |
| <br />
| |
| POTE generators: 600.0000, 176.7896<br />
| |
| TOP generators: 600.0648, 176.8087 (~2 = 1200.130, well beyond the range of anyone caring)<br /> | |
| <br />
| |
| 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 />
| |
| Wedgie: ???<br />
| |
| EDOs: 224?<br />
| |
| Badness: ???</body></html></pre></div>
| |