The Biosphere: Difference between revisions

Wikispaces>mbattaglia1
**Imported revision 222575758 - Original comment: **
Wikispaces>mbattaglia1
**Imported revision 222577872 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-04-24 20:38:58 UTC</tt>.<br>
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-04-24 20:51:28 UTC</tt>.<br>
: The original revision id was <tt>222575758</tt>.<br>
: The original revision id was <tt>222577872</tt>.<br>
: The revision comment was: <tt></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>
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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=[[#Rank two temperaments]]Rank two temperaments=  
=[[#Rank two temperaments]]Rank two temperaments=  
==[[#Rank two temperaments-Decitonic]]//Oceanfront//==  
=[[#Rank two temperaments-Decitonic]]&lt;span style="color: #000000;"&gt;Oceanfront&lt;/span&gt;=  
Subgroup: 2.3.7.13/5
Subgroup: 2.3.7.13/5
Commas: 91/90, 64/63
Commas: 91/90, 64/63
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13-limit: TBD
13-limit: TBD


==**Oceanfront Children**==
===[[#Rank two temperaments-Decitonic]]Ultrapyth===  
===[[#Rank two temperaments-Decitonic]]Ultrapyth===  
Subgroup: 2.3.5.7.13
Subgroup: 2.3.5.7.13
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==[[#Rank two temperaments-Decitonic]]//Oceanfront//==  
=[[#Rank two temperaments-Decitonic]]Tropic=  
Subgroup: 2.3.7.13/5
Subgroup: 2.3.7.13/5
Commas: 91/90, 64/63
Commas: 91/90, 49/48


[[POTE tuning|POTE generator]]: ~4/3 = 486.090 (I think)
[[POTE tuning|POTE generator]]: ~4/3 = 251.507 (I think)


Map: [&lt;1 2 2 3|, &lt; 0 -1 2 -4|]
Map: [&lt;1 2 3 2|, &lt;0 -2 -1 -3|]
EDOs: 27,32
EDOs: 19, 24
Badness: I have no idea
Badness: I have no idea


Oceanfront is very similar to the familiar 7-limit superpyth temperament, in which 16/9 is equated with 7/4, 32/27 equated with 7/6, and 81/64 with 9/7. Oceanfront aims to equate 81/64 with 13/10 instead, however, so the fifths are even sharper than those of superpyth - 713.910 cents is the optimal POTE generator. The general structure of this scale is similar to that of meantone[7], except that the "major" triads in this scale are 10:13:15, and the minor triads are 6:7:9.
Tropic is the merger of the biosphere and the archipelago. It is also a subgroup relative of semaphore temperament, since 49/48 vanishes. Of note is that 676/675 vanishes, so that two 7/6's (or 15/13)'s is equated with 4/3. While this temperament doesn't take advantage of the nearly pure harmonies that biome tempering can offer, particularly where 7/4 is involved, it still has some use, particularly for those who don't mind a bit more error in their tunings.


The sharp fifths of this scale can be a little more dissonant than meantone ears are used to, as can the flat fifths of something like mavila. This scale is very much like a brighter cousin of mavila in that regard.
11-limit: TBD
13-limit: TBD


11-limit: TBD
==****Tropic Children****==
13-limit: TBD</pre></div>
TBD</pre></div>
<h4>Original HTML content:</h4>
<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;The Biosphere&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The biosphere is the name given to the collection of temperaments that are children of or related to &lt;strong&gt;&lt;em&gt;biome temperament&lt;/em&gt;&lt;/strong&gt;, the rank 3 2.3.7.13/5 subgroup temperament eliminating 91/90. The term &amp;quot;biome&amp;quot; loosely means &amp;quot;ecosystem&amp;quot; or &amp;quot;climate.&amp;quot; This temperament is so named because temperaments that arise from eliminating 91/90 can evoke synesthetic associations of different &amp;quot;natural&amp;quot; settings, some very familiar and some much less so.&lt;br /&gt;
<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;The Biosphere&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The biosphere is the name given to the collection of temperaments that are children of or related to &lt;strong&gt;&lt;em&gt;biome temperament&lt;/em&gt;&lt;/strong&gt;, the rank 3 2.3.7.13/5 subgroup temperament eliminating 91/90. The term &amp;quot;biome&amp;quot; loosely means &amp;quot;ecosystem&amp;quot; or &amp;quot;climate.&amp;quot; This temperament is so named because temperaments that arise from eliminating 91/90 can evoke synesthetic associations of different &amp;quot;natural&amp;quot; settings, some very familiar and some much less so.&lt;br /&gt;
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EDOs: 46 and some other stuff&lt;br /&gt;
EDOs: 46 and some other stuff&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Rank two temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:12:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments&amp;quot; title=&amp;quot;Anchor: Rank two temperaments&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:12 --&gt;Rank two temperaments&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Rank two temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:16:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments&amp;quot; title=&amp;quot;Anchor: Rank two temperaments&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:16 --&gt;Rank two temperaments&lt;/h1&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Rank two temperaments-Oceanfront"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:13:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments-Decitonic&amp;quot; title=&amp;quot;Anchor: Rank two temperaments-Decitonic&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments-Decitonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:13 --&gt;&lt;em&gt;Oceanfront&lt;/em&gt;&lt;/h2&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Oceanfront"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:17:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments-Decitonic&amp;quot; title=&amp;quot;Anchor: Rank two temperaments-Decitonic&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments-Decitonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:17 --&gt;&lt;span style="color: #000000;"&gt;Oceanfront&lt;/span&gt;&lt;/h1&gt;
  Subgroup: 2.3.7.13/5&lt;br /&gt;
  Subgroup: 2.3.7.13/5&lt;br /&gt;
Commas: 91/90, 64/63&lt;br /&gt;
Commas: 91/90, 64/63&lt;br /&gt;
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13-limit: TBD&lt;br /&gt;
13-limit: TBD&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="Rank two temperaments-Oceanfront-Ultrapyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:14:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments-Decitonic&amp;quot; title=&amp;quot;Anchor: Rank two temperaments-Decitonic&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments-Decitonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:14 --&gt;Ultrapyth&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Oceanfront-Oceanfront Children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;strong&gt;Oceanfront Children&lt;/strong&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="Oceanfront-Oceanfront Children-Ultrapyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:18:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments-Decitonic&amp;quot; title=&amp;quot;Anchor: Rank two temperaments-Decitonic&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments-Decitonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:18 --&gt;Ultrapyth&lt;/h3&gt;
  Subgroup: 2.3.5.7.13&lt;br /&gt;
  Subgroup: 2.3.5.7.13&lt;br /&gt;
Commas: 91/90, 64/63, ???? (insert best 5-limit comma here to create an analogous system to superpyth)&lt;br /&gt;
Commas: 91/90, 64/63, ???? (insert best 5-limit comma here to create an analogous system to superpyth)&lt;br /&gt;
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This is a placeholder for the future &amp;quot;Ultrapyth&amp;quot; temperament, which will extend superpyth as you'd expect. If the best way to do this is the same as &amp;quot;porcupinefish&amp;quot; below, then we'll come up with something else.&lt;br /&gt;
This is a placeholder for the future &amp;quot;Ultrapyth&amp;quot; temperament, which will extend superpyth as you'd expect. If the best way to do this is the same as &amp;quot;porcupinefish&amp;quot; below, then we'll come up with something else.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="Rank two temperaments-Oceanfront-Porcupinefish"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:15:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments-Decitonic&amp;quot; title=&amp;quot;Anchor: Rank two temperaments-Decitonic&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments-Decitonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:15 --&gt;Porcupinefish&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Oceanfront-Oceanfront Children-Porcupinefish"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:19:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments-Decitonic&amp;quot; title=&amp;quot;Anchor: Rank two temperaments-Decitonic&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments-Decitonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:19 --&gt;Porcupinefish&lt;/h3&gt;
  Subgroup: 13-limit&lt;br /&gt;
  Subgroup: 13-limit&lt;br /&gt;
Commas: 91/90, 64/63, 250/243, 121/120&lt;br /&gt;
Commas: 91/90, 64/63, 250/243, 121/120&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Rank two temperaments-Oceanfront"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:16:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments-Decitonic&amp;quot; title=&amp;quot;Anchor: Rank two temperaments-Decitonic&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments-Decitonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:16 --&gt;&lt;em&gt;Oceanfront&lt;/em&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Tropic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:20:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank two temperaments-Decitonic&amp;quot; title=&amp;quot;Anchor: Rank two temperaments-Decitonic&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank two temperaments-Decitonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:20 --&gt;Tropic&lt;/h1&gt;
  Subgroup: 2.3.7.13/5&lt;br /&gt;
  Subgroup: 2.3.7.13/5&lt;br /&gt;
Commas: 91/90, 64/63&lt;br /&gt;
Commas: 91/90, 49/48&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~4/3 = 486.090 (I think)&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~4/3 = 251.507 (I think)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 2 3|, &amp;lt; 0 -1 2 -4|]&lt;br /&gt;
Map: [&amp;lt;1 2 3 2|, &amp;lt;0 -2 -1 -3|]&lt;br /&gt;
EDOs: 27,32&lt;br /&gt;
EDOs: 19, 24&lt;br /&gt;
Badness: I have no idea&lt;br /&gt;
Badness: I have no idea&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Oceanfront is very similar to the familiar 7-limit superpyth temperament, in which 16/9 is equated with 7/4, 32/27 equated with 7/6, and 81/64 with 9/7. Oceanfront aims to equate 81/64 with 13/10 instead, however, so the fifths are even sharper than those of superpyth - 713.910 cents is the optimal POTE generator. The general structure of this scale is similar to that of meantone[7], except that the &amp;quot;major&amp;quot; triads in this scale are 10:13:15, and the minor triads are 6:7:9.&lt;br /&gt;
Tropic is the merger of the biosphere and the archipelago. It is also a subgroup relative of semaphore temperament, since 49/48 vanishes. Of note is that 676/675 vanishes, so that two 7/6's (or 15/13)'s is equated with 4/3. While this temperament doesn't take advantage of the nearly pure harmonies that biome tempering can offer, particularly where 7/4 is involved, it still has some use, particularly for those who don't mind a bit more error in their tunings.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The sharp fifths of this scale can be a little more dissonant than meantone ears are used to, as can the flat fifths of something like mavila. This scale is very much like a brighter cousin of mavila in that regard.&lt;br /&gt;
11-limit: TBD&lt;br /&gt;
13-limit: TBD&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
11-limit: TBD&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Tropic-**Tropic Children**"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Tropic Children&lt;/h2&gt;
13-limit: TBD&lt;/body&gt;&lt;/html&gt;</pre></div>
TBD&lt;/body&gt;&lt;/html&gt;</pre></div>