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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | __FORCETOC__ |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | The ''sensamagic clan'' tempers out the [[sensamagic_comma|sensamagic comma]], [[245/243|245/243]], a [[triprime_comma|triprime comma]] with no factors of 2. |0 -5 1 2> to be exact. There are a number of [[linear_temperament|linear temperament]]s in the [[clan|clan]] (magic, father, sensi, godzilla, superpyth, octacot, rodan, hedgehog, clyde, shrutar, sidi) but they've mostly been discussed elsewhere. Tempering out 245/243 alone leads to a [[rank_three_temperament|rank three temperament]] for which [[283edo|283edo]] is the [[Optimal_patent_val|optimal patent val]]. |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-12-27 13:10:05 UTC</tt>.<br>
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| : The original revision id was <tt>535938062</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">[[toc|flat]]
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| The //sensamagic clan// tempers out the [[sensamagic comma]], [[245_243|245/243]], a [[triprime comma]] with no factors of 2. |0 -5 1 2> to be exact. There are a number of [[linear temperament]]s in the [[clan]] (magic, father, sensi, godzilla, superpyth, octacot, rodan, hedgehog, clyde, shrutar, sidi) but they've mostly been discussed elsewhere. Tempering out 245/243 alone leads to a [[rank three temperament]] for which [[283edo]] is the [[optimal patent val]].
| | =Bohpier= |
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| =Bohpier= | |
| Comma: 1220703125/1162261467 | | Comma: 1220703125/1162261467 |
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| Map: [<1 0 0|, <0 13 19|] | | Map: [<1 0 0|, <0 13 19|] |
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| EDOs: 8, 41, 131, 172, 213c | | EDOs: 8, 41, 131, 172, 213c |
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| Badness: 0.8605 | | Badness: 0.8605 |
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| ==7-limit== | | ==7-limit== |
| [[Comma]]s: 245/243, 3125/3087 | | [[Comma|Comma]]s: 245/243, 3125/3087 |
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| [[POTE tuning|POTE generator]]: ~27/25 = 146.474 | | [[POTE_tuning|POTE generator]]: ~27/25 = 146.474 |
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| Map: [<1 0 0 0|, <0 13 19 23|] | | Map: [<1 0 0 0|, <0 13 19 23|] |
| [[Wedgie]]: <<13 19 23 0 0 0|| | | |
| | [[wedgie|Wedgie]]: <<13 19 23 0 0 0|| |
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| EDOs: [[41edo|41]], [[49edo|49]], [[90edo|90]], [[139edo|139]] | | EDOs: [[41edo|41]], [[49edo|49]], [[90edo|90]], [[139edo|139]] |
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| EDTs: [[13edt|13]] | | EDTs: [[13edt|13]] |
| [[Badness]]: 0.0682 | | |
| | [[Badness|Badness]]: 0.0682 |
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| ==11-limit== | | ==11-limit== |
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| Map: [<1 0 0 0 2|, <0 13 19 23 12|] | | Map: [<1 0 0 0 2|, <0 13 19 23 12|] |
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| EDOs: 41, 90e, 131e | | EDOs: 41, 90e, 131e |
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| Badness: 0.0339 | | Badness: 0.0339 |
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| Map: [<1 0 0 0 2 2|, <0 13 19 23 12 14|] | | Map: [<1 0 0 0 2 2|, <0 13 19 23 12 14|] |
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| EDOs: 41, 90ef, 131ef, 221bdeff | | EDOs: 41, 90ef, 131ef, 221bdeff |
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| Badness: 0.0249 | | Badness: 0.0249 |
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| ==Music== | | ==Music== |
| By [[Chris Vaisvil]] | | By [[Chris_Vaisvil|Chris Vaisvil]] |
| http://micro.soonlabel.com/bophier/bophier-1.mp3 | | |
| http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3 | | [http://micro.soonlabel.com/bophier/bophier-1.mp3 http://micro.soonlabel.com/bophier/bophier-1.mp3] |
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| | [http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3 http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3] |
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| =Sensa= | | =Sensa= |
| Commas: 245/243, 65625/65536 | | Commas: 245/243, 65625/65536 |
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| Map: [<1 2 2 4|, <0 -9 7 -26|] | | Map: [<1 2 2 4|, <0 -9 7 -26|] |
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| Wedgie: <<9 -7 26 -32 16 80|| | | Wedgie: <<9 -7 26 -32 16 80|| |
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| EDOs: [[22edo|22]], [[43edo|43]], [[65edo|65]], [[87edo|87]], [[109edo|109]], [[196edo|196]], [[283edo|283]] | | EDOs: [[22edo|22]], [[43edo|43]], [[65edo|65]], [[87edo|87]], [[109edo|109]], [[196edo|196]], [[283edo|283]] |
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| Badness: 0.0887 | | Badness: 0.0887 |
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| ==11-limit== | | ==11-limit== |
| Commas: 245/243, 385/384, 4000/3993 | | Commas: 245/243, 385/384, 4000/3993 |
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| Map: [<1 2 2 4 3|, <0 -9 7 -26 10|] | | Map: [<1 2 2 4 3|, <0 -9 7 -26 10|] |
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| EDOs: 22, 43, 65, 87, 109, 196, 283 | | EDOs: 22, 43, 65, 87, 109, 196, 283 |
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| Badness: 0.0358 | | Badness: 0.0358 |
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| ==13-limit== | | ==13-limit== |
| Commas: 245/243, 352/351, 385/384, 625/624 | | Commas: 245/243, 352/351, 385/384, 625/624 |
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| Map: [<1 2 2 4 3 2|, <0 -9 7 -26 10 37|] | | Map: [<1 2 2 4 3 2|, <0 -9 7 -26 10 37|] |
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| EDOs: 22, 43, 65, 87, 109, 196, 283 | | EDOs: 22, 43, 65, 87, 109, 196, 283 |
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| Badness: 0.0317 | | Badness: 0.0317 |
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| Map: [<1 1 7 -1|, <0 2 -16 13|] | | Map: [<1 1 7 -1|, <0 2 -16 13|] |
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| Wedgie: <<2 -16 13 -30 15 75|| | | Wedgie: <<2 -16 13 -30 15 75|| |
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| EDOs: 17, 24, 41, 106d, 147d, 188cd, 335cd | | EDOs: 17, 24, 41, 106d, 147d, 188cd, 335cd |
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| Badness: 0.08015 | | Badness: 0.08015 |
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| Map: [<1 1 7 -1 2|, <0 2 -16 13 5|] | | Map: [<1 1 7 -1 2|, <0 2 -16 13 5|] |
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| EDOs: 17, 24, 41, 106d, 147d | | EDOs: 17, 24, 41, 106d, 147d |
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| Badness: 0.0394 | | Badness: 0.0394 |
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| Map: [<1 1 7 -1 2 4|, <0 2 -16 13 5 -1|] | | Map: [<1 1 7 -1 2 4|, <0 2 -16 13 5 -1|] |
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| EDOs: 17, 24, 41, 106df, 147df | | EDOs: 17, 24, 41, 106df, 147df |
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| Badness: 0.0310 | | Badness: 0.0310 |
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| Map: [<1 3 -1 8|, <0 -3 7 -11|] | | Map: [<1 3 -1 8|, <0 -3 7 -11|] |
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| Wedgie: <<3 -7 11 -18 9 45|| | | Wedgie: <<3 -7 11 -18 9 45|| |
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| EDOs: 17, 19, 55c, 74cd, 93cd | | EDOs: 17, 19, 55c, 74cd, 93cd |
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| Badness: 0.0737 | | Badness: 0.0737 |
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| Map: [<1 7 11 12|, <0 -10 -16 -17|] | | Map: [<1 7 11 12|, <0 -10 -16 -17|] |
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| Wedgie: <<10 16 17 2 -1 -5|| | | Wedgie: <<10 16 17 2 -1 -5|| |
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| EDOs: 24 | | EDOs: 24 |
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| Badness: 0.1902 | | Badness: 0.1902 |
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| Map: [<1 7 11 12 17|, <0 -10 -16 -17 -25|] | | Map: [<1 7 11 12 17|, <0 -10 -16 -17 -25|] |
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| EDOs: 24 | | EDOs: 24 |
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| Badness: 0.0827 | | Badness: 0.0827 |
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| Map: [<1 7 11 12 17 14|, <0 -10 -16 -17 -25 -19|] | | Map: [<1 7 11 12 17 14|, <0 -10 -16 -17 -25 -19|] |
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| EDOs: 24 | | EDOs: 24 |
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| Badness: 0.0499 | | Badness: 0.0499 |
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| Map: [<1 13 15 25|, <0 -18 -20 -35|] | | Map: [<1 13 15 25|, <0 -18 -20 -35|] |
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| Wedgie: <<18 20 35 -10 5 25|| | | Wedgie: <<18 20 35 -10 5 25|| |
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| EDOs: 41, 317bc, 358bc, 399bc | | EDOs: 41, 317bc, 358bc, 399bc |
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| Badness: 0.1394 | | Badness: 0.1394 |
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| Map: [<1 13 15 25 6|, <0 -18 -20 -35 -4|] | | Map: [<1 13 15 25 6|, <0 -18 -20 -35 -4|] |
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| EDOs: 41, 153be, 194be, 235bce | | EDOs: 41, 153be, 194be, 235bce |
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| Badness: 0.0709 | | Badness: 0.0709 |
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| Map: [<1 13 15 25 6 24|, <0 -18 -20 -35 -4 -32|] | | Map: [<1 13 15 25 6 24|, <0 -18 -20 -35 -4 -32|] |
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| EDOs: 41 | | EDOs: 41 |
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| Badness: 0.0528 | | Badness: 0.0528 |
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| Map: [<1 9 3|, <0 -11 -1|] | | Map: [<1 9 3|, <0 -11 -1|] |
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| EDOs: 40, 43, 46, 181c, 227c, 273c, 319c | | EDOs: 40, 43, 46, 181c, 227c, 273c, 319c |
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| Badness: 0.3602 | | Badness: 0.3602 |
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| Map: [<1 9 3 21|, <0 -11 -1 -27|] | | Map: [<1 9 3 21|, <0 -11 -1 -27|] |
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| Wedgie: <<11 1 27 -24 12 60|| | | Wedgie: <<11 1 27 -24 12 60|| |
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| EDOs: 46, 95, 141bc, 187bc, 328bc | | EDOs: 46, 95, 141bc, 187bc, 328bc |
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| Badness: 0.1084 | | Badness: 0.1084 |
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| Map: [<1 9 3 21 23|, <0 -11 -1 -27 -29|] | | Map: [<1 9 3 21 23|, <0 -11 -1 -27 -29|] |
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| EDOs: 46, 95, 141bc | | EDOs: 46, 95, 141bc |
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| Badness: 0.0451 | | Badness: 0.0451 |
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| Map: [<1 9 3 21 23 1|, <0 -11 -1 -27 -29 4|] | | Map: [<1 9 3 21 23 1|, <0 -11 -1 -27 -29 4|] |
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| EDOs: 46, 233bcf, 279bcf | | EDOs: 46, 233bcf, 279bcf |
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| Badness: 0.0430 | | Badness: 0.0430 |
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| Map: [<1 1 17 -6|, <0 1 -25 15|] | | Map: [<1 1 17 -6|, <0 1 -25 15|] |
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| EDOs: 17, 46, 109, 155, 264b, 419b | | EDOs: 17, 46, 109, 155, 264b, 419b |
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| Badness: 0.14058 | | Badness: 0.14058 |
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| Map: [<1 1 17 -6 -3|, <0 1 -25 15 11|] | | Map: [<1 1 17 -6 -3|, <0 1 -25 15 11|] |
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| EDOs: 17, 46, 109, 264b, 373b, 637be | | EDOs: 17, 46, 109, 264b, 373b, 637be |
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| Badness: 0.0507 | | Badness: 0.0507 |
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| Map: [<1 1 17 -6 -3 -1|, <0 1 -25 15 11 8|] | | Map: [<1 1 17 -6 -3 -1|, <0 1 -25 15 11 8|] |
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| EDOs: 17, 46, 63, 109, 218f, 373bf | | EDOs: 17, 46, 63, 109, 218f, 373bf |
| Badness: 0.0327</pre></div> | | |
| <h4>Original HTML content:</h4>
| | Badness: 0.0327 |
| <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>Sensamagic clan</title></head><body><!-- ws:start:WikiTextTocRule:50:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><a href="#Bohpier">Bohpier</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Sensa">Sensa</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Salsa">Salsa</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Pycnic">Pycnic</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Cohemiripple">Cohemiripple</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Superthird">Superthird</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Magus">Magus</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Leapweek">Leapweek</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: -->
| | [[Category:clan]] |
| <!-- ws:end:WikiTextTocRule:76 --><br />
| | [[Category:family]] |
| The <em>sensamagic clan</em> tempers out the <a class="wiki_link" href="/sensamagic%20comma">sensamagic comma</a>, <a class="wiki_link" href="/245_243">245/243</a>, a <a class="wiki_link" href="/triprime%20comma">triprime comma</a> with no factors of 2. |0 -5 1 2&gt; to be exact. There are a number of <a class="wiki_link" href="/linear%20temperament">linear temperament</a>s in the <a class="wiki_link" href="/clan">clan</a> (magic, father, sensi, godzilla, superpyth, octacot, rodan, hedgehog, clyde, shrutar, sidi) but they've mostly been discussed elsewhere. Tempering out 245/243 alone leads to a <a class="wiki_link" href="/rank%20three%20temperament">rank three temperament</a> for which <a class="wiki_link" href="/283edo">283edo</a> is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>.<br />
| | [[Category:overview]] |
| <br />
| | [[Category:sensamagic]] |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Bohpier"></a><!-- ws:end:WikiTextHeadingRule:0 -->Bohpier</h1>
| | [[Category:theory]] |
| Comma: 1220703125/1162261467<br />
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| <br />
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| POTE generator: ~27/25 = 146.476<br />
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| <br />
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| Map: [&lt;1 0 0|, &lt;0 13 19|]<br />
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| EDOs: 8, 41, 131, 172, 213c<br />
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| Badness: 0.8605<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Bohpier-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</h2>
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| <a class="wiki_link" href="/Comma">Comma</a>s: 245/243, 3125/3087<br />
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| <br />
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| <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~27/25 = 146.474<br />
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| <br />
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| Map: [&lt;1 0 0 0|, &lt;0 13 19 23|]<br />
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| <a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;13 19 23 0 0 0||<br />
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| EDOs: <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/49edo">49</a>, <a class="wiki_link" href="/90edo">90</a>, <a class="wiki_link" href="/139edo">139</a><br />
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| EDTs: <a class="wiki_link" href="/13edt">13</a><br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.0682<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Bohpier-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2>
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| Commas: 100/99, 245/243, 1344/1331<br />
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| <br />
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| POTE generator: ~12/11 = 146.545<br />
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| <br />
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| Map: [&lt;1 0 0 0 2|, &lt;0 13 19 23 12|]<br />
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| EDOs: 41, 90e, 131e<br />
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| Badness: 0.0339<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Bohpier-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2>
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| Commas: 100/99, 144/143, 245/243, 275/273<br />
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| <br />
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| POTE generator: ~12/11 = 146.603<br />
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| <br />
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| Map: [&lt;1 0 0 0 2 2|, &lt;0 13 19 23 12 14|]<br />
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| EDOs: 41, 90ef, 131ef, 221bdeff<br />
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| Badness: 0.0249<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Bohpier-Music"></a><!-- ws:end:WikiTextHeadingRule:8 -->Music</h2>
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| By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <!-- ws:start:WikiTextUrlRule:309:http://micro.soonlabel.com/bophier/bophier-1.mp3 --><a class="wiki_link_ext" href="http://micro.soonlabel.com/bophier/bophier-1.mp3" rel="nofollow">http://micro.soonlabel.com/bophier/bophier-1.mp3</a><!-- ws:end:WikiTextUrlRule:309 --><br />
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| <!-- ws:start:WikiTextUrlRule:310:http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3 --><a class="wiki_link_ext" href="http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3" rel="nofollow">http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3</a><!-- ws:end:WikiTextUrlRule:310 --><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Sensa"></a><!-- ws:end:WikiTextHeadingRule:10 -->Sensa</h1>
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| Commas: 245/243, 65625/65536<br />
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| <br />
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| POTE generator: ~28/27 = 55.122<br />
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| <br />
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| Map: [&lt;1 2 2 4|, &lt;0 -9 7 -26|]<br />
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| Wedgie: &lt;&lt;9 -7 26 -32 16 80||<br />
| |
| EDOs: <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/43edo">43</a>, <a class="wiki_link" href="/65edo">65</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/109edo">109</a>, <a class="wiki_link" href="/196edo">196</a>, <a class="wiki_link" href="/283edo">283</a><br />
| |
| Badness: 0.0887<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Sensa-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2>
| |
| Commas: 245/243, 385/384, 4000/3993<br />
| |
| <br />
| |
| POTE generator: ~28/27 = 55.126<br />
| |
| <br />
| |
| Map: [&lt;1 2 2 4 3|, &lt;0 -9 7 -26 10|]<br />
| |
| EDOs: 22, 43, 65, 87, 109, 196, 283<br />
| |
| Badness: 0.0358<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Sensa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h2>
| |
| Commas: 245/243, 352/351, 385/384, 625/624<br />
| |
| <br />
| |
| POTE generator: ~28/27 = 55.138<br />
| |
| <br />
| |
| Map: [&lt;1 2 2 4 3 2|, &lt;0 -9 7 -26 10 37|]<br />
| |
| EDOs: 22, 43, 65, 87, 109, 196, 283<br />
| |
| Badness: 0.0317<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Salsa"></a><!-- ws:end:WikiTextHeadingRule:16 -->Salsa</h1>
| |
| Commas: 245/243, 32805/32768<br />
| |
| <br />
| |
| POTE generator: ~128/105 = 351.049<br />
| |
| <br />
| |
| Map: [&lt;1 1 7 -1|, &lt;0 2 -16 13|]<br />
| |
| Wedgie: &lt;&lt;2 -16 13 -30 15 75||<br />
| |
| EDOs: 17, 24, 41, 106d, 147d, 188cd, 335cd<br />
| |
| Badness: 0.08015<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Salsa-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2>
| |
| Commas: 243/242, 245/242, 385/384<br />
| |
| <br />
| |
| POTE generator: ~11/9 = 351.014<br />
| |
| <br />
| |
| Map: [&lt;1 1 7 -1 2|, &lt;0 2 -16 13 5|]<br />
| |
| EDOs: 17, 24, 41, 106d, 147d<br />
| |
| Badness: 0.0394<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Salsa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2>
| |
| Commas: 105/104, 144/143, 243/242, 245/242<br />
| |
| <br />
| |
| POTE generator: ~11/9 = 351.025<br />
| |
| <br />
| |
| Map: [&lt;1 1 7 -1 2 4|, &lt;0 2 -16 13 5 -1|]<br />
| |
| EDOs: 17, 24, 41, 106df, 147df<br />
| |
| Badness: 0.0310<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Pycnic"></a><!-- ws:end:WikiTextHeadingRule:22 -->Pycnic</h1>
| |
| The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being a cent sharp of it in the POTE tuning for instance. Pycnic has MOS of size 9, 11, 13, 15, 17... which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune.<br />
| |
| <br />
| |
| Commas: 245/243, 525/512<br />
| |
| <br />
| |
| POTE generator: ~45/32 = 567.720<br />
| |
| <br />
| |
| Map: [&lt;1 3 -1 8|, &lt;0 -3 7 -11|]<br />
| |
| Wedgie: &lt;&lt;3 -7 11 -18 9 45||<br />
| |
| EDOs: 17, 19, 55c, 74cd, 93cd<br />
| |
| Badness: 0.0737<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Cohemiripple"></a><!-- ws:end:WikiTextHeadingRule:24 -->Cohemiripple</h1>
| |
| Commas: 245/243, 1323/1250<br />
| |
| <br />
| |
| POTE generator: ~7/5 = 549.944<br />
| |
| <br />
| |
| Map: [&lt;1 7 11 12|, &lt;0 -10 -16 -17|]<br />
| |
| Wedgie: &lt;&lt;10 16 17 2 -1 -5||<br />
| |
| EDOs: 24<br />
| |
| Badness: 0.1902<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Cohemiripple-11-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->11-limit</h2>
| |
| Commas: 77/75, 243/242, 245/242<br />
| |
| <br />
| |
| POTE generator: ~7/5 = 549.945<br />
| |
| <br />
| |
| Map: [&lt;1 7 11 12 17|, &lt;0 -10 -16 -17 -25|]<br />
| |
| EDOs: 24<br />
| |
| Badness: 0.0827<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Cohemiripple-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h2>
| |
| Commas: 66/65, 77/75, 147/143, 351/350<br />
| |
| <br />
| |
| POTE generator: ~7/5 = 549.958<br />
| |
| <br />
| |
| Map: [&lt;1 7 11 12 17 14|, &lt;0 -10 -16 -17 -25 -19|]<br />
| |
| EDOs: 24<br />
| |
| Badness: 0.0499<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Superthird"></a><!-- ws:end:WikiTextHeadingRule:30 -->Superthird</h1>
| |
| Commas: 245/243, 78125/76832<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 439.076<br />
| |
| <br />
| |
| Map: [&lt;1 13 15 25|, &lt;0 -18 -20 -35|]<br />
| |
| Wedgie: &lt;&lt;18 20 35 -10 5 25||<br />
| |
| EDOs: 41, 317bc, 358bc, 399bc<br />
| |
| Badness: 0.1394<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Superthird-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2>
| |
| Commas: 100/99, 245/243, 78125/76832<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 439.152<br />
| |
| <br />
| |
| Map: [&lt;1 13 15 25 6|, &lt;0 -18 -20 -35 -4|]<br />
| |
| EDOs: 41, 153be, 194be, 235bce<br />
| |
| Badness: 0.0709<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Superthird-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2>
| |
| Commas: 100/99, 144/143, 196/195, 1375/1352<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 439.119<br />
| |
| <br />
| |
| Map: [&lt;1 13 15 25 6 24|, &lt;0 -18 -20 -35 -4 -32|]<br />
| |
| EDOs: 41<br />
| |
| Badness: 0.0528<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Magus"></a><!-- ws:end:WikiTextHeadingRule:36 -->Magus</h1>
| |
| Commas: 50331648/48828125<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 391.225<br />
| |
| <br />
| |
| Map: [&lt;1 9 3|, &lt;0 -11 -1|]<br />
| |
| EDOs: 40, 43, 46, 181c, 227c, 273c, 319c<br />
| |
| Badness: 0.3602<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Magus-7-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->7-limit</h2>
| |
| Commas: 245/243, 28672/28125<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 391.465<br />
| |
| <br />
| |
| Map: [&lt;1 9 3 21|, &lt;0 -11 -1 -27|]<br />
| |
| Wedgie: &lt;&lt;11 1 27 -24 12 60||<br />
| |
| EDOs: 46, 95, 141bc, 187bc, 328bc<br />
| |
| Badness: 0.1084<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Magus-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2>
| |
| Commas: 176/175, 245/243, 1331/1323<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 391.503<br />
| |
| <br />
| |
| Map: [&lt;1 9 3 21 23|, &lt;0 -11 -1 -27 -29|]<br />
| |
| EDOs: 46, 95, 141bc<br />
| |
| Badness: 0.0451<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Magus-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2>
| |
| Commas: 91/90, 176/175, 245/243, 1331/1323<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 391.366<br />
| |
| <br />
| |
| Map: [&lt;1 9 3 21 23 1|, &lt;0 -11 -1 -27 -29 4|]<br />
| |
| EDOs: 46, 233bcf, 279bcf<br />
| |
| Badness: 0.0430<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Leapweek"></a><!-- ws:end:WikiTextHeadingRule:44 -->Leapweek</h1>
| |
| Commas: 245/243, 2097152/2066715<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 704.536<br />
| |
| <br />
| |
| Map: [&lt;1 1 17 -6|, &lt;0 1 -25 15|]<br />
| |
| EDOs: 17, 46, 109, 155, 264b, 419b<br />
| |
| Badness: 0.14058<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Leapweek-11-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->11-limit</h2>
| |
| Commas: 245/243, 385/384, 1331/1323<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 704.554<br />
| |
| <br />
| |
| Map: [&lt;1 1 17 -6 -3|, &lt;0 1 -25 15 11|]<br />
| |
| EDOs: 17, 46, 109, 264b, 373b, 637be<br />
| |
| Badness: 0.0507<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Leapweek-13-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->13-limit</h2>
| |
| Commas: 169/168, 245/243, 352/351, 364/363<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 704.571<br />
| |
| <br />
| |
| Map: [&lt;1 1 17 -6 -3 -1|, &lt;0 1 -25 15 11 8|]<br />
| |
| EDOs: 17, 46, 63, 109, 218f, 373bf<br />
| |
| Badness: 0.0327</body></html></pre></div>
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