Stratosphere
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- This revision was by author kai.lugheidh and made on 2017-05-05 23:12:49 UTC.
- The original revision id was 612233843.
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Original Wikitext content:
**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]]. (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: ???
Original HTML content:
<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 "atmosphere".<br /> <br /> 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 /> (big ups to the temperament finder)<br /> <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: [<2 7 7 23 19 13 40 30 50 5 -6 11, <0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2|]<br /> Wedgie: ???<br /> EDOs: 224?<br /> Badness: ???</body></html>