Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 472564866 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 472626410 - 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:genewardsmith|genewardsmith]] and made on <tt>2013-11- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-11-27 01:02:47 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>472626410</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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Map: [<1 0 2|, <0 1 -2|] | Map: [<1 0 2|, <0 1 -2|] | ||
EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b | EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.2444 cents | ||
[[image:marveltwintri_321edo.png]] | [[image:marveltwintri_321edo.png]] | ||
| Line 170: | Line 170: | ||
Map: [<1 0 1 0|, <0 6 5 14|] | Map: [<1 0 1 0|, <0 6 5 14|] | ||
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd | EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.2450 cents | ||
[[image:xenharmonic/cata_246edo2.jpg]] | [[image:xenharmonic/cata_246edo2.jpg]] | ||
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Map: [<1 0 -6 -1|, <0 2 9 3|] | Map: [<1 0 -6 -1|, <0 2 9 3|] | ||
EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314 | EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.2513 cents | ||
[[image:bridgetown_29edo.png]] | [[image:bridgetown_29edo.png]] | ||
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<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]</span></span> by [[xenharmonic/Igliashon Jones|Igliashon Jones]] | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]</span></span> by [[xenharmonic/Igliashon Jones|Igliashon Jones]] | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]</span></span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]</span></span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | ||
=Haumea= | =Haumea= | ||
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Map: [<1 0 10 -6 -1|, <0 2 -12 9 3|] | Map: [<1 0 10 -6 -1|, <0 2 -12 9 3|] | ||
EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd | EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.2668 cents | ||
[[xenharmonic/haumea5|Five note haplotonic scale]] | [[xenharmonic/haumea5|Five note haplotonic scale]] | ||
| Line 259: | Line 233: | ||
Map: [<1 1 2|, <0 2 5|] | Map: [<1 1 2|, <0 2 5|] | ||
EDOs: 7, 17, 24, 65, 89, 202, 291, 380 | EDOs: 7, 17, 24, 65, 89, 202, 291, 380 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.3021 cents | ||
[[image:neutraltet_380edo.png]] | [[image:neutraltet_380edo.png]] | ||
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[[https://soundcloud.com/jdfreivald/mo-happy-happy|Mo - Happy - Happy]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3|play]] by Jake Freivald in Neutraltet[7], 24et tuning | [[https://soundcloud.com/jdfreivald/mo-happy-happy|Mo - Happy - Happy]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3|play]] by Jake Freivald in Neutraltet[7], 24et tuning | ||
=Huntington= | =Slendric= | ||
Subgroup: 2.3.7 | |||
Comma: 1029/1024 | |||
Sval name: 5&21 | |||
[[Tp tuning|POT2 generator]]: ~8/7 = 233.688 | |||
[[Gencom]]: [2 8/7; 1029/1024] | |||
Gencom map: [<1 1 0 3|, <0 3 0 -1|] | |||
Map: [<1 1 3|, <0 3 -1|] | |||
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190 | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents | |||
[[image:xenharmonic/slendric_190edo.jpg]] | |||
[[xenharmonic/slendric5|Five note haplotonic scale]] | |||
[[xenharmonic/slendric6|Six note haplotonic scale]] | |||
[[xenharmonic/slendric11|Eleven note albitonic scale]] | |||
[[xenharmonic/slendric16|Sixteen note chromatic scale]] | |||
==Music== | |||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]</span></span> | |||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]</span></span> | |||
by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | |||
=Huntington= | |||
Subgroup: 2.5.7.13 | Subgroup: 2.5.7.13 | ||
Commas: 640/637, 10985/10976 | Commas: 640/637, 10985/10976 | ||
| Line 282: | Line 282: | ||
Map: [<1 5 4 4|, <0 -9 -4 -1|] | Map: [<1 5 4 4|, <0 -9 -4 -1|] | ||
EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd | EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.3452 cents | ||
[[image:huntington_400edo.jpg]] | [[image:huntington_400edo.jpg]] | ||
| Line 303: | Line 303: | ||
Map: [<2 0 -1 -2], <0 2 5 3]] | Map: [<2 0 -1 -2], <0 2 5 3]] | ||
EDOs: 10, 14, 24, 58, 82, 130 | EDOs: 10, 14, 24, 58, 82, 130 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.3533 cents | ||
[[xenharmonic/tobago6|Six note haplotonic scale]] | [[xenharmonic/tobago6|Six note haplotonic scale]] | ||
| Line 310: | Line 310: | ||
[[xenharmonic/tobago24|Twentyfour note quatertone scale]] | [[xenharmonic/tobago24|Twentyfour note quatertone scale]] | ||
=Pepperoni= | |||
Subgroup: 2.3.11/7.13/7 | |||
=Pepperoni= | |||
Subgroup: 2.3.11/7.13/7 | |||
Commas: 352/351, 364/363 | Commas: 352/351, 364/363 | ||
Sval name: 5&12 | Sval name: 5&12 | ||
| Line 341: | Line 323: | ||
Map: [<1 0 7 12|, <0 1 -4 -7|] | Map: [<1 0 7 12|, <0 1 -4 -7|] | ||
EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd | EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.3789 cents | ||
[[image:pepperoni_271edo.png]] | [[image:pepperoni_271edo.png]] | ||
| Line 348: | Line 330: | ||
[[xenharmonic/pepperoni12|Twelve note chromatic scale]] | [[xenharmonic/pepperoni12|Twelve note chromatic scale]] | ||
= | =Wizz= | ||
Subgroup: 2. | Subgroup: 2.5.11 | ||
Commas: | Commas: 15625/15488 | ||
Sval name: 6&16 | |||
Related temperaments: [[Marvel temperaments#Wizard-11-limit|wizard]] | |||
[[Tp tuning|POT2 generator]]: ~9/7 = 438.465 | Generator: ~5/4 = 383.768 | ||
[[Gencom]]: [125/88 5/4; 15625/15488] | |||
Gencom map: [<2 0 4 0 5| <0 0 1 0 3|] | |||
EDOs: 6, 16, 22, 28, 50, 122, 172, 222 | |||
RMS error: 0.3997 | |||
[[xenharmonic/wizz6|Six note haplotonic scale]] | |||
[[xenharmonic/wizz10|Ten note albitonic scale]] | |||
[[xenharmonic/wizz16|Sixteen note chromatic scale]] | |||
=Penta= | |||
Subgroup: 2.9.7.11 | |||
Commas: 896/891, 26411/26244 | |||
Svalname: 8&11 | |||
[[Tp tuning|POT2 generator]]: ~9/7 = 438.465 | |||
[[Gencom]]: [2 9/7; 896/891 26411/26244] | [[Gencom]]: [2 9/7; 896/891 26411/26244] | ||
| Line 360: | Line 360: | ||
Map: [<1 0 -1 6|, <0 5 6 -4|] | Map: [<1 0 -1 6|, <0 5 6 -4|] | ||
EDOs: 8, 11, 30, 41, 52 | EDOs: 8, 11, 30, 41, 52 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.4262 cents | ||
[[xenharmonic/penta5|Five note haplotonic scale]] | [[xenharmonic/penta5|Five note haplotonic scale]] | ||
| Line 1,438: | Line 1,438: | ||
[[xenharmonic/leantone13|Thirteen note chromatic scale]]</pre></div> | [[xenharmonic/leantone13|Thirteen note chromatic scale]]</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"><html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:163:&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:163 --><!-- ws:start:WikiTextTocRule:164: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Barton">Barton</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="# | <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>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:163:&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:163 --><!-- ws:start:WikiTextTocRule:164: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Barton">Barton</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Haumea">Haumea</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Tobago">Tobago</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Wizz">Wizz</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Edson">Edson</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --> | <a href="#Namo">Namo</a><!-- ws:end:WikiTextTocRule:200 --><!-- ws:start:WikiTextTocRule:201: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:201 --><!-- ws:start:WikiTextTocRule:202: --><!-- ws:end:WikiTextTocRule:202 --><!-- ws:start:WikiTextTocRule:203: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --> | <a href="#Laz">Laz</a><!-- ws:end:WikiTextTocRule:206 --><!-- ws:start:WikiTextTocRule:207: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:207 --><!-- ws:start:WikiTextTocRule:208: --><!-- ws:end:WikiTextTocRule:208 --><!-- ws:start:WikiTextTocRule:209: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --> | <a href="#Sulis">Sulis</a><!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --><!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:218 --><!-- ws:start:WikiTextTocRule:219: --> | <a href="#Kiribati">Kiribati</a><!-- ws:end:WikiTextTocRule:219 --><!-- ws:start:WikiTextTocRule:220: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:220 --><!-- ws:start:WikiTextTocRule:221: --><!-- ws:end:WikiTextTocRule:221 --><!-- ws:start:WikiTextTocRule:222: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:222 --><!-- ws:start:WikiTextTocRule:223: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:223 --><!-- ws:start:WikiTextTocRule:224: --> | <a href="#Sensation">Sensation</a><!-- ws:end:WikiTextTocRule:224 --><!-- ws:start:WikiTextTocRule:225: --> | <a href="#Archy">Archy</a><!-- ws:end:WikiTextTocRule:225 --><!-- ws:start:WikiTextTocRule:226: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:226 --><!-- ws:start:WikiTextTocRule:227: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:227 --><!-- ws:start:WikiTextTocRule:228: --> | <a href="#Suhajira (aka 2.3.7.11 maqamic)">Suhajira (aka 2.3.7.11 maqamic)</a><!-- ws:end:WikiTextTocRule:228 --><!-- ws:start:WikiTextTocRule:229: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:229 --><!-- ws:start:WikiTextTocRule:230: --> | <a href="#Machine">Machine</a><!-- ws:end:WikiTextTocRule:230 --><!-- ws:start:WikiTextTocRule:231: --> | <a href="#Sephiroth">Sephiroth</a><!-- ws:end:WikiTextTocRule:231 --><!-- ws:start:WikiTextTocRule:232: --> | <a href="#Mohoho">Mohoho</a><!-- ws:end:WikiTextTocRule:232 --><!-- ws:start:WikiTextTocRule:233: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:233 --><!-- ws:start:WikiTextTocRule:234: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:234 --><!-- ws:start:WikiTextTocRule:235: --> | <a href="#Porkypine">Porkypine</a><!-- ws:end:WikiTextTocRule:235 --><!-- ws:start:WikiTextTocRule:236: --> | <a href="#Supraphon">Supraphon</a><!-- ws:end:WikiTextTocRule:236 --><!-- ws:start:WikiTextTocRule:237: --> | <a href="#Negra">Negra</a><!-- ws:end:WikiTextTocRule:237 --><!-- ws:start:WikiTextTocRule:238: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:238 --><!-- ws:start:WikiTextTocRule:239: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:239 --><!-- ws:start:WikiTextTocRule:240: --> | <a href="#Oregon">Oregon</a><!-- ws:end:WikiTextTocRule:240 --><!-- ws:start:WikiTextTocRule:241: --> | <a href="#Skateboard">Skateboard</a><!-- ws:end:WikiTextTocRule:241 --><!-- ws:start:WikiTextTocRule:242: --> | <a href="#Kryptonite">Kryptonite</a><!-- ws:end:WikiTextTocRule:242 --><!-- ws:start:WikiTextTocRule:243: --> | <a href="#Glacial">Glacial</a><!-- ws:end:WikiTextTocRule:243 --><!-- ws:start:WikiTextTocRule:244: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:244 --><!-- ws:start:WikiTextTocRule:245: --> | ||
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| Line 1,582: | Line 1,582: | ||
Map: [&lt;1 0 2|, &lt;0 1 -2|]<br /> | Map: [&lt;1 0 2|, &lt;0 1 -2|]<br /> | ||
EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b<br /> | EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2444 cents<br /> | ||
<br /> | <br /> | ||
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| Line 1,603: | Line 1,603: | ||
Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br /> | Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br /> | ||
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd<br /> | EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2450 cents<br /> | ||
<br /> | <br /> | ||
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| Line 1,624: | Line 1,624: | ||
Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br /> | Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br /> | ||
EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314<br /> | EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2513 cents<br /> | ||
<br /> | <br /> | ||
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| Line 1,635: | Line 1,635: | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:23:&lt;h1&gt; --><h1 id="toc11"><a name=" | <!-- ws:start:WikiTextHeadingRule:23:&lt;h1&gt; --><h1 id="toc11"><a name="Haumea"></a><!-- ws:end:WikiTextHeadingRule:23 -->Haumea</h1> | ||
Subgroup: 2.3.7<br /> | Subgroup: 2.3.7/5.11/5.13/5<br /> | ||
Commas: 352/351, 676/675, 847/845<br /> | |||
Related temperaments: <a class="wiki_link" href="/Chromatic%20pairs#Bridgetown">bridgetown</a>, <a class="wiki_link" href="/Hemifamity%20family#Namaka">namaka</a>, hemigari, barbados, parizekmic<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~15/13 = 248.491<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/13; 352/351 676/675 847/845]<br /> | |||
Gencom map: [&lt;1 2 -3/4 -11/4 9/4 5/4|, &lt;0 -2 0 12 -9 -3|]<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/13; 352/351 676/675 847/845]<br /> | |||
Gencom map: [&lt;1 2 -3/4 -11/4 9/4 5/4|, &lt;0 -2 0 12 -9 -3|]<br /> | |||
<br /> | <br /> | ||
Map: [&lt;1 0 10 -6 -1|, &lt;0 2 -12 9 3|]<br /> | Map: [&lt;1 0 10 -6 -1|, &lt;0 2 -12 9 3|]<br /> | ||
EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd<br /> | EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2668 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea5">Five note haplotonic scale</a><br /> | ||
| Line 1,680: | Line 1,654: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea19">Nineteen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea19">Nineteen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:25:&lt;h1&gt; --><h1 id="toc12"><a name="Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:25 -->Neutraltet</h1> | ||
Subgroup: 2.3.11<br /> | Subgroup: 2.3.11<br /> | ||
Commas: 243/242<br /> | Commas: 243/242<br /> | ||
| Line 1,692: | Line 1,666: | ||
Map: [&lt;1 1 2|, &lt;0 2 5|]<br /> | Map: [&lt;1 1 2|, &lt;0 2 5|]<br /> | ||
EDOs: 7, 17, 24, 65, 89, 202, 291, 380<br /> | EDOs: 7, 17, 24, 65, 89, 202, 291, 380<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3021 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:255:&lt;img src=&quot;/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" /><!-- ws:end:WikiTextLocalImageRule:255 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br /> | ||
| Line 1,700: | Line 1,674: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:27:&lt;h2&gt; --><h2 id="toc13"><a name="Neutraltet-Music"></a><!-- ws:end:WikiTextHeadingRule:27 -->Music</h2> | ||
<a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/mo-happy-happy" rel="nofollow">Mo - Happy - Happy</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3" rel="nofollow">play</a> by Jake Freivald in Neutraltet[7], 24et tuning<br /> | <a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/mo-happy-happy" rel="nofollow">Mo - Happy - Happy</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3" rel="nofollow">play</a> by Jake Freivald in Neutraltet[7], 24et tuning<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:33:&lt;h1&gt; --><h1 id="toc16"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:33 -->Huntington</h1> | <!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc14"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:29 -->Slendric</h1> | ||
Subgroup: 2.5.7.13<br /> | Subgroup: 2.3.7<br /> | ||
Commas: 640/637, 10985/10976<br /> | Comma: 1029/1024<br /> | ||
Sval name: 5&amp;21<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~8/7 = 233.688<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 1029/1024]<br /> | |||
Gencom map: [&lt;1 1 0 3|, &lt;0 3 0 -1|]<br /> | |||
<br /> | |||
Map: [&lt;1 1 3|, &lt;0 3 -1|]<br /> | |||
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3202 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:256:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:256 --><br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric6">Six note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric11">Eleven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:31:&lt;h2&gt; --><h2 id="toc15"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:31 -->Music</h2> | |||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></span></span><br /> | |||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></span></span><br /> | |||
by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:33:&lt;h1&gt; --><h1 id="toc16"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:33 -->Huntington</h1> | |||
Subgroup: 2.5.7.13<br /> | |||
Commas: 640/637, 10985/10976<br /> | |||
Sval name: 10&amp;27<br /> | Sval name: 10&amp;27<br /> | ||
<br /> | <br /> | ||
| Line 1,715: | Line 1,715: | ||
Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br /> | Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br /> | ||
EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd<br /> | EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3452 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule:257:&lt;img src=&quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:257 --><br /> | <!-- ws:start:WikiTextLocalImageRule:257:&lt;img src=&quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:257 --><br /> | ||
| Line 1,736: | Line 1,736: | ||
Map: [&lt;2 0 -1 -2], &lt;0 2 5 3]]<br /> | Map: [&lt;2 0 -1 -2], &lt;0 2 5 3]]<br /> | ||
EDOs: 10, 14, 24, 58, 82, 130<br /> | EDOs: 10, 14, 24, 58, 82, 130<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3533 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tobago6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tobago6">Six note haplotonic scale</a><br /> | ||
| Line 1,743: | Line 1,743: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tobago24">Twentyfour note quatertone scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tobago24">Twentyfour note quatertone scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:37:&lt;h1&gt; --><h1 id="toc18"><a name=" | <!-- ws:start:WikiTextHeadingRule:37:&lt;h1&gt; --><h1 id="toc18"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:37 -->Pepperoni</h1> | ||
Subgroup: 2.3.11/7.13/7<br /> | Subgroup: 2.3.11/7.13/7<br /> | ||
Commas: 352/351, 364/363<br /> | Commas: 352/351, 364/363<br /> | ||
| Line 1,774: | Line 1,756: | ||
Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br /> | Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br /> | ||
EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd<br /> | EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3789 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule:39:&lt;h1&gt; --><h1 id="toc19"><a name="Wizz"></a><!-- ws:end:WikiTextHeadingRule:39 -->Wizz</h1> | |||
Subgroup: 2.5.11<br /> | |||
Commas: 15625/15488<br /> | |||
Sval name: 6&amp;16<br /> | |||
Related temperaments: <a class="wiki_link" href="/Marvel%20temperaments#Wizard-11-limit">wizard</a><br /> | |||
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Generator: ~5/4 = 383.768<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [125/88 5/4; 15625/15488]<br /> | |||
Gencom map: [&lt;2 0 4 0 5| &lt;0 0 1 0 3|]<br /> | |||
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EDOs: 6, 16, 22, 28, 50, 122, 172, 222<br /> | |||
RMS error: 0.3997<br /> | |||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz6">Six note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz10">Ten note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz16">Sixteen note chromatic scale</a><br /> | |||
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<!-- ws:start:WikiTextHeadingRule:41:&lt;h1&gt; --><h1 id="toc20"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:41 -->Penta</h1> | <!-- ws:start:WikiTextHeadingRule:41:&lt;h1&gt; --><h1 id="toc20"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:41 -->Penta</h1> | ||
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Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br /> | Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br /> | ||
EDOs: 8, 11, 30, 41, 52<br /> | EDOs: 8, 11, 30, 41, 52<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4262 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5">Five note haplotonic scale</a><br /> | ||