Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 472770436 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 473047206 - 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>2013-11-28 13:47:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>473047206</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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[[xenharmonic/starlingtet7|Seven note albitonic scale]] | [[xenharmonic/starlingtet7|Seven note albitonic scale]] | ||
[[xenharmonic/starlingtet11|Eleven note chromatic scale]] | [[xenharmonic/starlingtet11|Eleven note chromatic scale]] | ||
=Lovecraft= | =Lovecraft= | ||
| Line 754: | Line 734: | ||
Map: [<1 1 0|, <0 2 3|] | Map: [<1 1 0|, <0 2 3|] | ||
EDOS: 13, 30, 43, 73, 116b | EDOS: 13, 30, 43, 73, 116b | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.8449 cents | ||
[[image:lovecraft_116edo.png]] | [[image:lovecraft_116edo.png]] | ||
| Line 774: | Line 754: | ||
Map: [<1 0 2 -2 6|, <0 3 -1 5 -5|] | Map: [<1 0 2 -2 6|, <0 3 -1 5 -5|] | ||
EDOs: 9, 31, 40, 49, 58, 156bde, 205bde | EDOs: 9, 31, 40, 49, 58, 156bde, 205bde | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.8790 cents | ||
[[xenharmonic/laz5|Five note haplotonic scale]] | [[xenharmonic/laz5|Five note haplotonic scale]] | ||
| Line 780: | Line 760: | ||
[[xenharmonic/laz13|Thirteen note chromatic scale]] | [[xenharmonic/laz13|Thirteen note chromatic scale]] | ||
= | =Myna= | ||
Group: 2.3.5.7 | |||
Commas: | Commas: 126/125, 1728/1715 | ||
Val name: 4&27 | |||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~6/5 = 310.146 | ||
[[Gencom]]: [2 11/10; 121/120 126/125] | [[Gencom]]: [2 6/5; 126/125 1728/1715] | ||
Gencom map: [<1 -1 0 1|,<0 10 9 7|] | |||
Map: [<1 9 9 8|, <0 -10 -9 -7|] | |||
EDOs: 4, 27, 31, 58, 89, 236c, 325cd | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.9516 cents | |||
[[image:myna_89edo.jpg]] | |||
[[xenharmonic/myna7|Seven note haplotonic scale]] | |||
[[xenharmonic/myna11|Eleven note albitonic scale]] | |||
[[xenharmonic/myna15|Fifteen note chromatic scale]] | |||
=Greeley= | |||
Subgroup: 2.5/3.7/3.11/3 | |||
Commas: 121/120, 126/125 | |||
Related temperament: [[Porcupine family#Opossum|Opossum]], [[Starling temperaments#Nusecond%20temperament|Nusecond]] | |||
[[Tp tuning|POT2 generator]]: ~11/10 = 155.776 | |||
[[Gencom]]: [2 11/10; 121/120 126/125] | |||
Gencom map: <1 -5/4 -1/4 3/4 3/4|, <0 9/4 1/4 -15/4 5/4|] | Gencom map: <1 -5/4 -1/4 3/4 3/4|, <0 9/4 1/4 -15/4 5/4|] | ||
Map: [<1 1 2 2|, <0 -2 -6 -1|] | Map: [<1 1 2 2|, <0 -2 -6 -1|] | ||
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd | EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.034 cents | ||
[[image:greeley_100edo.png]] | [[image:greeley_100edo.png]] | ||
| Line 802: | Line 802: | ||
<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/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]</span></span> by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15 | <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/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]</span></span> by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15 | ||
= | =Semidim= | ||
Subgroup: 2.5/3.7/3.11/3.13/3 | |||
Commas: 121/120, 169/168, 275/273 | |||
Sval name: 8&29 | |||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~13/10 = 453.242 | ||
[[Gencom]]: [2 7/6; 99/98] | [[Gencom]]: [2 13/10; 121/120 169/168 275/273] | ||
Gencom map: [<1 -3 0 2 0 1|, <0 24/5 -6/5 -26/5 9/5 -1/5|] | |||
Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|] | |||
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde, | |||
[[Tp tuning#T2%20tuning|RMS error]]: 1.052 cents | |||
[[image:semidim_770edo.png]] | |||
[[xenharmonic/semidim8|Eight note albitonic scale]] | |||
[[xenharmonic/semidim13|Thirteen note chromatic scale]] | |||
=Mothwelltri= | |||
Group: 2.7/3.11 | |||
Comma: 99/98 | |||
Svalname: 1&4 | |||
Related temperament: Orwell | |||
[[Tp tuning|POT2 generator]]: ~7/6 = 273.174 | |||
[[Gencom]]: [2 7/6; 99/98] | |||
Gencom map: [<1 -1/2 0 1/2 3|, <0 -1/2 0 1/2 2|] | Gencom map: [<1 -1/2 0 1/2 3|, <0 -1/2 0 1/2 2|] | ||
Map: [<1 0 1|, <0 1 2|] | Map: [<1 0 1|, <0 1 2|] | ||
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc | EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.064 cents | ||
[[xenharmonic/mothwelltri5|Five note haplotonic scale]] | [[xenharmonic/mothwelltri5|Five note haplotonic scale]] | ||
| Line 833: | Line 852: | ||
Map: [<1 0 5 -9|, <0 1 -2 4|] | Map: [<1 0 5 -9|, <0 1 -2 4|] | ||
EDOs: 22, 25, 28, 31, 59, 90c, 149c | EDOs: 22, 25, 28, 31, 59, 90c, 149c | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.074 cents | ||
[[xenharmonic/sulis7|Seven note haplotonic scale]] | [[xenharmonic/sulis7|Seven note haplotonic scale]] | ||
| Line 851: | Line 870: | ||
Map: [<1 3 6 7|, <0 -4 -9 -10|] | Map: [<1 3 6 7|, <0 -4 -9 -10|] | ||
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd | EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.099 cents | ||
[[image:skwares_206edo.png]] | [[image:skwares_206edo.png]] | ||
| Line 871: | Line 890: | ||
Map: [<1 0 3 1 3|, <0 7 -3 8 2|] | Map: [<1 0 3 1 3|, <0 7 -3 8 2|] | ||
EDOs: 9, 22, 31, 53, 84e | EDOs: 9, 22, 31, 53, 84e | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.151 cents | ||
[[image:xenharmonic/orwell_84edo.png]] | [[image:xenharmonic/orwell_84edo.png]] | ||
| Line 879: | Line 898: | ||
[[xenharmonic/orwell13|Thirteen note chromatic scale]] | [[xenharmonic/orwell13|Thirteen note chromatic scale]] | ||
= | =Magicaltet= | ||
Group: 2.5/3.7.11 | |||
Commas: | Commas: 100/99, 385/384 | ||
Related temperaments: 4&7&15, superkleismic, magic | |||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~6/5 = 322.659 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 6/5; 100/99 385/384] | ||
Gencom map: [<1 - | Gencom map: [<1 -1/2 1/2 2 4|, <0 1/2 -1/2 3 -2|] | ||
Map: [<1 | Map: [<1 0 5 2|, <0 1 -3 2|] | ||
EDOs: | EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.206 cents | ||
[[ | [[xenharmonic/magicaltet7|Seven note albitonic scale]] | ||
[[xenharmonic/magicaltet11|Eleven note chromatic scale]] | |||
[[xenharmonic/magicaltet15|Fifteen note mega scale]] | |||
=Magic= | |||
Group: 2.3.5.7.11 | |||
Commas: 100/99, 225/224, 245/243 | |||
Val name: 19&22 | |||
[[Tp tuning|POT2 generator]]: ~5/4 = 380.696 | |||
[[ | [[Gencom]]: [2 5/4; 100/99 225/224 245/243] | ||
Gencom map: [<1 0 2 -1 6|, <0 5 1 12 -8|] | |||
Map: [<1 0 2 -1 6|, <0 5 1 12 -8|] | |||
EDOs: 19, 22, 41, 104, 145 | |||
[[Tp tuning#T2%20tuning|RMS error]]: 1.226 cents | |||
[[image:xenharmonic/magic_145edo.jpg]] | |||
[[ | [[xenharmonic/magic7|Seven note haplotonic scale]] | ||
[[xenharmonic/magic10|Ten note albitonic scale]] | |||
[[xenharmonic/magic13|Thirteen note chromatic scale]] | |||
[[xenharmonic/magic16|Sixteen note mega chromatic scale]] | |||
[[ | ==Music== | ||
[[ | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]</span> [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] | ||
= | =Kiribati= | ||
Subgroup: 2.9/5.7/3.11/9 | |||
Commas: 100/99, | Commas: 100/99, 245/242 | ||
Related | Related temperament: [[Octagar family|nakika]], octacot | ||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~21/20 = 87.892 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 21/20; 100/99 245/242] | ||
Gencom map: [<1 - | Gencom map: [<1 1/10 -4/5 11/10 1/5|, <0 -3/2 -1 3/2 1|] | ||
Map: [<1 0 | Map: [<1 1 1 0|, <0 -2 3 4|] | ||
EDOs: | EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.245 cents | ||
[[xenharmonic/ | [[xenharmonic/kiribati13|Thirteen note chromatic scale]] | ||
[[xenharmonic/ | [[xenharmonic/kiribati14|Fourteen note chromatic scale]] | ||
= | =Sensi= | ||
Group: 2.3.5.7 | Group: 2.3.5.7 | ||
Commas: | Commas: 126/125, 245/243 | ||
Val name: 19& | Val name: 19&27 | ||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~9/7 = 443.383 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 9/7; 126/125 245/243] | ||
Gencom map: [<1 | Gencom map: [<1 -1 -1 -2|, <0 7 9 13|] | ||
Map: [< | Map: [<1 6 8 11|, <0 -7 -9 -13|] | ||
EDOs: 19, | EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.323 cents | ||
[[image:xenharmonic/ | [[image:xenharmonic/sensi_46edo.jpg]] | ||
[[xenharmonic/ | [[xenharmonic/sensi5|Five note haplotonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/sensi8|Eight note albitonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/sensi11|Eleven note mega albitonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/sensi19|Nineteen note chromatic scale]] | ||
=Meantone= | =Meantone= | ||
| Line 973: | Line 990: | ||
Map: [<1 0 -4 -13|, <0 1 4 10|] | Map: [<1 0 -4 -13|, <0 1 4 10|] | ||
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b | EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 1.382 cents | ||
[[image:meantone_31edo.jpg]] | [[image:meantone_31edo.jpg]] | ||
| Line 981: | Line 998: | ||
[[xenharmonic/meantone12|Twelve note chromatic scale]] | [[xenharmonic/meantone12|Twelve note chromatic scale]] | ||
=Mohaha= | |||
Subgroup: 2.3.5.11 | |||
Commas: 81/80, 121/120 | |||
=Mohaha= | |||
Subgroup: 2.3.5.11 | |||
Commas: 81/80, 121/120 | |||
Related temperament: [[xenharmonic/Meantone family|mohajira]] | Related temperament: [[xenharmonic/Meantone family|mohajira]] | ||
| 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="#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="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Edson">Edson</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Namo">Namo</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --> | <a href="#Mabila">Mabila</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="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --> | <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="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Edson">Edson</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Namo">Namo</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --> | <a href="#Mabila">Mabila</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="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --> | <a href="#Laz">Laz</a><!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --> | <a href="#Myna">Myna</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="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --> | <a href="#Sulis">Sulis</a><!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --><!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --> | <a href="#Kiribati">Kiribati</a><!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:218 --><!-- ws:start:WikiTextTocRule:219: --> | <a href="#Meantone">Meantone</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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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11">Eleven note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11">Eleven note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:81:&lt;h1&gt; --><h1 id="toc40"><a name=" | <!-- ws:start:WikiTextHeadingRule:81:&lt;h1&gt; --><h1 id="toc40"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:81 -->Lovecraft</h1> | ||
Group: 2. | Group: 2.11.13<br /> | ||
Commas: | Commas: 1352/1331<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/11 = 279.318<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/11; 1352/1331]<br /> | ||
Gencom map: [&lt;1 | Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 | Map: [&lt;1 1 0|, &lt;0 2 3|]<br /> | ||
EDOS: 13, 30, 43, 73, 116b<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0. | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.8449 cents<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9">Nine note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13">Thirteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:83:&lt;h1&gt; --><h1 id="toc41"><a name="Laz"></a><!-- ws:end:WikiTextHeadingRule:83 -->Laz</h1> | ||
Subgroup: 2.5.7/3.11/3.13/3<br /> | Subgroup: 2.5.7/3.11/3.13/3<br /> | ||
Commas: 144/143, 176/175, 196/195<br /> | Commas: 144/143, 176/175, 196/195<br /> | ||
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Map: [&lt;1 0 2 -2 6|, &lt;0 3 -1 5 -5|]<br /> | Map: [&lt;1 0 2 -2 6|, &lt;0 3 -1 5 -5|]<br /> | ||
EDOs: 9, 31, 40, 49, 58, 156bde, 205bde<br /> | EDOs: 9, 31, 40, 49, 58, 156bde, 205bde<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.8790 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz13">Thirteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:85:&lt;h1&gt; --><h1 id="toc42"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:85 -->Myna</h1> | ||
Group: 2.3.5.7<br /> | |||
Commas: | Commas: 126/125, 1728/1715<br /> | ||
Val name: 4&amp;27<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 310.146<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 126/125 1728/1715]<br /> | ||
Gencom map: &lt;1 - | Gencom map: [&lt;1 -1 0 1|,&lt;0 10 9 7|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br /> | Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br /> | ||
EDOs: 4, 27, 31, 58, 89, 236c, 325cd<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.9516 cents<br /> | |||
<br /> | |||
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<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7">Seven note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11">Eleven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15">Fifteen note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:87:&lt;h1&gt; --><h1 id="toc43"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:87 -->Greeley</h1> | |||
Subgroup: 2.5/3.7/3.11/3<br /> | |||
Commas: 121/120, 126/125<br /> | |||
Related temperament: <a class="wiki_link" href="/Porcupine%20family#Opossum">Opossum</a>, <a class="wiki_link" href="/Starling%20temperaments#Nusecond%20temperament">Nusecond</a><br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/10 = 155.776<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/10; 121/120 126/125]<br /> | |||
Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]<br /> | |||
<br /> | |||
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br /> | |||
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd<br /> | EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.034 cents<br /> | ||
<br /> | <br /> | ||
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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"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<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/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:91:&lt;h1&gt; --><h1 id="toc45"><a name=" | <!-- ws:start:WikiTextHeadingRule:91:&lt;h1&gt; --><h1 id="toc45"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:91 -->Semidim</h1> | ||
Subgroup: 2.5/3.7/3.11/3.13/3<br /> | |||
Commas: 121/120, 169/168, 275/273<br /> | |||
Sval name: 8&amp;29<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/10 = 453.242<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 121/120 169/168 275/273]<br /> | ||
Gencom map: [&lt;1 - | Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 1|, &lt;0 1 2|]<br /> | Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br /> | ||
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.052 cents<br /> | |||
<br /> | |||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8">Eight note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13">Thirteen note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:93:&lt;h1&gt; --><h1 id="toc46"><a name="Mothwelltri"></a><!-- ws:end:WikiTextHeadingRule:93 -->Mothwelltri</h1> | |||
Group: 2.7/3.11<br /> | |||
Comma: 99/98<br /> | |||
Svalname: 1&amp;4<br /> | |||
Related temperament: Orwell<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~7/6 = 273.174<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 99/98]<br /> | |||
Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 1|, &lt;0 1 2|]<br /> | |||
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc<br /> | EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.064 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5">Five note haplotonic scale</a><br /> | ||
| Line 2,254: | Line 2,273: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13">Thirteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:95:&lt;h1&gt; --><h1 id="toc47"><a name="Sulis"></a><!-- ws:end:WikiTextHeadingRule:95 -->Sulis</h1> | ||
Subgroup: 2.5.9/7.11/9<br /> | Subgroup: 2.5.9/7.11/9<br /> | ||
Commas: 99/98, 176/175<br /> | Commas: 99/98, 176/175<br /> | ||
| Line 2,266: | Line 2,285: | ||
Map: [&lt;1 0 5 -9|, &lt;0 1 -2 4|]<br /> | Map: [&lt;1 0 5 -9|, &lt;0 1 -2 4|]<br /> | ||
EDOs: 22, 25, 28, 31, 59, 90c, 149c<br /> | EDOs: 22, 25, 28, 31, 59, 90c, 149c<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.074 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis7">Seven note haplotonic scale</a><br /> | ||
| Line 2,272: | Line 2,291: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis13">Thirteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:97:&lt;h1&gt; --><h1 id="toc48"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:97 -->Skwares</h1> | ||
Subgroup: 2.3.7.11<br /> | Subgroup: 2.3.7.11<br /> | ||
Commas: 99/98, 243/242<br /> | Commas: 99/98, 243/242<br /> | ||
| Line 2,284: | Line 2,303: | ||
Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br /> | Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br /> | ||
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd<br /> | EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.099 cents<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br /> | ||
| Line 2,292: | Line 2,311: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14">Fourteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14">Fourteen note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:99:&lt;h1&gt; --><h1 id="toc49"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:99 -->Orwell</h1> | ||
Group: 2.3.5.7.11<br /> | Group: 2.3.5.7.11<br /> | ||
Commas: 99/98, 121/120, 176/175<br /> | Commas: 99/98, 121/120, 176/175<br /> | ||
| Line 2,304: | Line 2,323: | ||
Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br /> | Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br /> | ||
EDOs: 9, 22, 31, 53, 84e<br /> | EDOs: 9, 22, 31, 53, 84e<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.151 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:275:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /><!-- ws:end:WikiTextLocalImageRule:275 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br /> | ||
| Line 2,312: | Line 2,331: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13">Thirteen note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:101:&lt;h1&gt; --><h1 id="toc50"><a name="Magicaltet"></a><!-- ws:end:WikiTextHeadingRule:101 -->Magicaltet</h1> | ||
Group: 2.5/3.7.11<br /> | |||
Commas: | Commas: 100/99, 385/384<br /> | ||
Related temperaments: 4&amp;7&amp;15, superkleismic, magic<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 322.659<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 100/99 385/384]<br /> | |||
Gencom map: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]<br /> | |||
EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.206 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet11">Eleven note chromatic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15">Fifteen note mega scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:103:&lt;h1&gt; --><h1 id="toc51"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:103 -->Magic</h1> | |||
Group: 2.3.5.7.11<br /> | |||
Commas: 100/99, 225/224, 245/243<br /> | |||
Val name: 19&amp;22<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~5/4 = 380.696<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 100/99 225/224 245/243]<br /> | |||
Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br /> | |||
EDOs: 19, 22, 41, 104, 145<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.226 cents<br /> | |||
<br /> | |||
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<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7">Seven note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10">Ten note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13">Thirteen note chromatic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16">Sixteen note mega chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:105:&lt;h2&gt; --><h2 id="toc52"><a name="Magic-Music"></a><!-- ws:end:WikiTextHeadingRule:105 -->Music</h2> | |||
<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/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a></span> <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:107:&lt;h1&gt; --><h1 id="toc53"><a name="Kiribati"></a><!-- ws:end:WikiTextHeadingRule:107 -->Kiribati</h1> | |||
Subgroup: 2.9/5.7/3.11/9<br /> | |||
Commas: 100/99, 245/242<br /> | |||
Related temperament: <a class="wiki_link" href="/Octagar%20family">nakika</a>, octacot<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~21/20 = 87.892<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 21/20; 100/99 245/242]<br /> | |||
Gencom map: [&lt;1 1/10 -4/5 11/10 1/5|, &lt;0 -3/2 -1 3/2 1|]<br /> | |||
<br /> | |||
Map: [&lt;1 1 1 0|, &lt;0 -2 3 4|]<br /> | |||
EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.245 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/kiribati13">Thirteen note chromatic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/kiribati14">Fourteen note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:109:&lt;h1&gt; --><h1 id="toc54"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:109 -->Sensi</h1> | |||
<!-- ws:start:WikiTextHeadingRule: | |||
Group: 2.3.5.7<br /> | Group: 2.3.5.7<br /> | ||
Commas: 126/125, 245/243<br /> | Commas: 126/125, 245/243<br /> | ||
| Line 2,343: | Line 2,402: | ||
Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br /> | Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br /> | ||
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd<br /> | EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.323 cents<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br /> | ||
| Line 2,352: | Line 2,411: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:111:&lt;h1&gt; --><h1 id="toc55"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:111 -->Meantone</h1> | ||
Group: 2.3.5.7<br /> | Group: 2.3.5.7<br /> | ||
Commas: 81/80, 126/125<br /> | Commas: 81/80, 126/125<br /> | ||
| Line 2,406: | Line 2,423: | ||
Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br /> | Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br /> | ||
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b<br /> | EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.382 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule:278:&lt;img src=&quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:278 --><br /> | <!-- ws:start:WikiTextLocalImageRule:278:&lt;img src=&quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:278 --><br /> | ||
| Line 2,413: | Line 2,430: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7">Seven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:113:&lt;h1&gt; --><h1 id="toc56"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:113 -->Mohaha</h1> | <!-- ws:start:WikiTextHeadingRule:113:&lt;h1&gt; --><h1 id="toc56"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:113 -->Mohaha</h1> | ||