Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 351512970 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 351842406 - 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>2012-07- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-09 16:11:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>351842406</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 -1 6 -2|, <0 5 3 6 -4 9|] | Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] | ||
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef | EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef | ||
[[Lp tuning#L2 tuning|L2 error]]: 3.772 cents | |||
[[xenharmonic/stacks5|Five note haplotonic scale]] | [[xenharmonic/stacks5|Five note haplotonic scale]] | ||
| Line 904: | Line 904: | ||
Related temperament: [[xenharmonic/Meantone family|meantone]] | Related temperament: [[xenharmonic/Meantone family|meantone]] | ||
[[Lp tuning|POL2 generator]]: ~9/8 = 193.937 | |||
[[Gencom]]: | [[Gencom]]: [2 9/8; 81/80 99/98 126/125] | ||
Gencom map: | Gencom map: [<1 3/2 2 2 2|, <0 1/2 2 5 9|] | ||
Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] | Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] | ||
EDOs: 25, 31, 68b, 99b | EDOs: 25, 31, 68b, 99b | ||
[[Lp tuning#L2 tuning|L2 error]]: 3.218 cents | |||
[[xenharmonic/tutone6|Six note haplotonic scale]] | [[xenharmonic/tutone6|Six note haplotonic scale]] | ||
| Line 924: | Line 924: | ||
Related temperament: [[meanenneadecal]] | Related temperament: [[meanenneadecal]] | ||
[[Lp tuning|POL2 generator]]: ~9/8 = 192.500 | |||
[[Gencom]]: | [[Gencom]]: [2 9/8; 45/44 56/55 81/80] | ||
Gencom map: | Gencom map: [<1 3/2 2 2 3|, <0 1/2 2 5 3|] | ||
Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] | Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] | ||
EDOs: 6, 7, 13, 19, 25, 31, 56, 81 | EDOs: 6, 7, 13, 19, 25, 31, 56, 81 | ||
[[Lp tuning#L2 tuning|L2 error]]: 8.680 cents | |||
[[image:leantone_81edo.png]] | [[image:leantone_81edo.png]] | ||
| Line 943: | Line 943: | ||
Commas: 343/338, 847/832 | Commas: 343/338, 847/832 | ||
[[Lp tuning|POL2 generator]]: ~11/8 = 540.099 | |||
[[Gencom]]: | [[Gencom]]: [2 11/8; 343/338 847/832] | ||
Gencom map: | Gencom map: [<1 0 0 1 3 1|, <0 0 0 4 1 6|] | ||
Map: [<1 1 3 1|, <0 4 1 6|] | Map: [<1 1 3 1|, <0 4 1 6|] | ||
EDOs: 5, 7, 9, 11, 20 | EDOs: 5, 7, 9, 11, 20 | ||
[[Lp tuning#L2 tuning|L2 error]]: 3.141 cents | |||
[[image:xenharmonic/score_20edo.jpg]] | [[image:xenharmonic/score_20edo.jpg]] | ||
| Line 964: | Line 964: | ||
Related temperament: [[xenharmonic/suprapyth|suprapyth]] | Related temperament: [[xenharmonic/suprapyth|suprapyth]] | ||
[[Lp tuning|POL2 generator]]: ~3/2 = 707.192 | |||
[[Gencom]]: | [[Gencom]]: [2 3/2; 64/63 99/98] | ||
Gencom map: | Gencom map: [<1 1 0 4 7|, <0 1 0 -2 -6|] | ||
Map: [<1 0 6 13|, <0 1 -2 -6|] | Map: [<1 0 6 13|, <0 1 -2 -6|] | ||
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c | EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c | ||
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents | |||
[[image:supra_56edo.png]] | [[image:supra_56edo.png]] | ||
| Line 982: | Line 982: | ||
Commas: 64/63, 78/77, 99/98 | Commas: 64/63, 78/77, 99/98 | ||
[[Lp tuning|POL2 generator]]: ~3/2 = 706.137 | |||
[[Gencom]]: | [[Gencom]]: [2 3/2; 64/63 78/77 99/98] | ||
Gencom map: | Gencom map: [<1 1 0 4 7 9|, <0 1 0 -2 -6 -9|] | ||
Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|] | Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|] | ||
EDOs: 5, 7, 12, 17 | EDOs: 5, 7, 12, 17 | ||
[[Lp tuning#L2 tuning|L2 error]]: 5.132 cents | |||
==Machine== | ==Machine== | ||
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Commas: 64/63, 99/98 | Commas: 64/63, 99/98 | ||
[[Lp tuning|POL2 generator]]: ~9/8 = 214.384 | |||
[[Gencom]]: | [[Gencom]]: [2 9/8; 64/63 99/98] | ||
Gencom map: | Gencom map: [<1 3/2 0 3 4|, <0 1/2 0 -1 -3|] | ||
Map: [<1 0 6 13|, <0 1 -1 -3|] | Map: [<1 0 6 13|, <0 1 -1 -3|] | ||
EDOs: 5, 6, 11, 17, 28 | EDOs: 5, 6, 11, 17, 28 | ||
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents | |||
[[image:machine_28edo.png]] | [[image:machine_28edo.png]] | ||
| Line 1,015: | Line 1,015: | ||
Related temperament: [[xenharmonic/pajara|pajara]] | Related temperament: [[xenharmonic/pajara|pajara]] | ||
[[Lp tuning|POL2 generator]]: ~8/7 = 214.095 | |||
[[Gencom]]: | [[Gencom]]: [7/5 8/7; 50/49 64/63] | ||
Gencom map: | Gencom map: [<2 3 5 6|, <0 1/2 -1 -1|] | ||
Map: [<2 0 11 12|, <0 1 -1 -1|] | Map: [<2 0 11 12|, <0 1 -1 -1|] | ||
EDOS: 4, 6, 10, 16, 22, 28 | EDOS: 4, 6, 10, 16, 22, 28 | ||
[[Lp tuning#L2 tuning|L2 error]]: 5.145 cents | |||
[[image:antikythera_28edo.png]] | [[image:antikythera_28edo.png]] | ||
| Line 1,035: | Line 1,035: | ||
Related temperament: [[xenharmonic/Meantone family|meanpop]] | Related temperament: [[xenharmonic/Meantone family|meanpop]] | ||
[[Lp tuning|POL2 generator]]: ~9/8 = 191.059 | |||
[[Gencom]]: | [[Gencom]]: [2 9/8; 65/64 81/80 91/90] | ||
Gencom map: | Gencom map: [<1 3/2 2 2 0 4|, <0 1/2 2 5 0 -2|] | ||
Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|] | Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|] | ||
EDOs: 6, 7, 13, 19, | EDOs: 6, 7, 13, 19, 25e, 44de | ||
[[Lp tuning#L2 tuning|L2 error]]: 4.906 cents | |||
[[image:deutone_44edo.png]] | [[image:deutone_44edo.png]] | ||
| Line 1,054: | Line 1,054: | ||
Comma: 49/48 | Comma: 49/48 | ||
[[Lp tuning|POL2 generator]]: ~7/6 = 250.385 | |||
[[Gencom]]: | [[Gencom]]: [2 7/6; 49/48] | ||
Gencom map: | Gencom map: [<1 2 0 3}, <0 -2 0 -1|] | ||
Map: [<1 0 2|, <0 2 1|] | Map: [<1 0 2|, <0 2 1|] | ||
EDOs: 5, 9, 14, 19, 24 | EDOs: 5, 9, 14, 19, 24, 67c, 91c | ||
[[Lp tuning#L2 tuning|L2 error]]: 5.046 cents | |||
[[image:semaphore_24edo.png]] | [[image:semaphore_24edo.png]] | ||
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Related temperament: [[xenharmonic/Augmented family|augmented]] | Related temperament: [[xenharmonic/Augmented family|augmented]] | ||
[[Lp tuning|POL2 generator]]: ~8/7 = 228.275 | |||
[[Gencom]]: | [[Gencom]]: [5/4 8/7; 56/55 128/125] | ||
Gencom map: | Gencom map: [<3 0 7 9 11|, <0 0 0 -1 -1|] | ||
Map: [<3 7 0 2|, <0 0 1 1|] | Map: [<3 7 0 2|, <0 0 1 1|] | ||
EDOs: 3, 6, 9, 15, 21 | EDOs: 3, 6, 9, 15, 21 | ||
[[Lp tuning#L2 tuning|L2 error]]: 5.415 cents | |||
[[image:augment_21edo.png]] | [[image:augment_21edo.png]] | ||
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Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br /> | Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.3950 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.3950 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:188:&lt;img src=&quot;/file/view/tridec_235edo.png/284860428/tridec_235edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/tridec_235edo.png/284860428/tridec_235edo.png" alt="tridec_235edo.png" title="tridec_235edo.png" /><!-- ws:end:WikiTextLocalImageRule:188 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.1835 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.1835 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:189:&lt;img src=&quot;/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="petrtri_385edo.png" title="petrtri_385edo.png" /><!-- ws:end:WikiTextLocalImageRule:189 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4987 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4987 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:190:&lt;img src=&quot;/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png" alt="nestoria_171edo.png" title="nestoria_171edo.png" /><!-- ws:end:WikiTextLocalImageRule:190 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6154 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6154 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:191:&lt;img src=&quot;/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /><!-- ws:end:WikiTextLocalImageRule:191 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4222 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.4222 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:192:&lt;img src=&quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:192 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6001 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6001 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:193:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /><!-- ws:end:WikiTextLocalImageRule:193 --><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br /> | ||
| Line 1,258: | Line 1,258: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.5985 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.5985 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:194:&lt;img src=&quot;/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="marveltwintri_321edo.png" title="marveltwintri_321edo.png" /><!-- ws:end:WikiTextLocalImageRule:194 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7">Seven note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.8455 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.8455 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:195:&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:195 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7">Seven note haplotonic scale</a><br /> | ||
| Line 1,298: | Line 1,298: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6403 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6403 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:196:&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:196 --><br /> | ||
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<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/slendric5">Five note haplotonic scale</a><br /> | ||
| Line 1,325: | Line 1,325: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.520 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.520 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:197:&lt;img src=&quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /><!-- ws:end:WikiTextLocalImageRule:197 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7">Seven note albitonic scale</a><br /> | ||
| Line 1,344: | Line 1,344: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6756 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6756 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:198:&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:198 --><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 1,365: | Line 1,365: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.364 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.364 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:199:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:199 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
| Line 1,406: | Line 1,406: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9282 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9282 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:200:&lt;img src=&quot;/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png" alt="pepperoni_271edo.png" title="pepperoni_271edo.png" /><!-- ws:end:WikiTextLocalImageRule:200 --><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 /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.331 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.331 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.451 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.451 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.469 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.469 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9904 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.9904 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.454 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.454 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.903 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.903 cents<br /> | ||
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<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/myna7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.557 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.557 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.546 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.546 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.763 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.763 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.741 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.741 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.741 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.741 cents<br /> | ||
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<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/magic7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.756 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.756 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:212:&lt;img src=&quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:212 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.457 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.457 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:213:&lt;img src=&quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /><!-- ws:end:WikiTextLocalImageRule:213 --><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 /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.647 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.647 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:214:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:214 --><br /> | ||
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<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 /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.313 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.313 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:215:&lt;img src=&quot;/file/view/greeley_100edo.png/284867960/greeley_100edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" /><!-- ws:end:WikiTextLocalImageRule:215 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.577 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.577 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:216:&lt;img src=&quot;/file/view/semidim_770edo.png/284868918/semidim_770edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /><!-- ws:end:WikiTextLocalImageRule:216 --><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/semidim8">Eight note albitonic scale</a><br /> | ||
| Line 1,828: | Line 1,828: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.574 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.574 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:217:&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:217 --><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 1,903: | Line 1,903: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.070 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 2.070 cents<br /> | ||
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<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 /> | ||
| Line 1,923: | Line 1,923: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.292 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.292 cents<br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:219:&lt;img src=&quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /><!-- ws:end:WikiTextLocalImageRule:219 --><br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
| Line 1,943: | Line 1,943: | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.113 cents<br /> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.113 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br /> | ||
| Line 1,976: | Line 1,976: | ||
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br /> | Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br /> | ||
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef<br /> | EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.772 cents<br /> | |||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8">Eight note albitonic scale</a><br /> | ||
| Line 1,987: | Line 1,988: | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a><br /> | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a><br /> | ||
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<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 193.937<br /> | |||
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<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 81/80 99/98 126/125]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br /> | Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br /> | ||
EDOs: 25, 31, 68b, 99b<br /> | EDOs: 25, 31, 68b, 99b<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.218 cents<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br /> | ||
| Line 2,000: | Line 2,001: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
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<!-- ws:start:WikiTextHeadingRule:105:&lt;h1&gt; --><h1 id="toc52"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:105 -->Leantone</h1> | <!-- ws:start:WikiTextHeadingRule:105:&lt;h1&gt; --><h1 id="toc52"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:105 -->Leantone</h1> | ||
| Line 2,007: | Line 2,008: | ||
Related temperament: <a class="wiki_link" href="/meanenneadecal">meanenneadecal</a><br /> | Related temperament: <a class="wiki_link" href="/meanenneadecal">meanenneadecal</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 192.500<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 45/44 56/55 81/80]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br /> | Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br /> | ||
EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br /> | EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 8.680 cents<br /> | |||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br /> | ||
| Line 2,026: | Line 2,027: | ||
Commas: 343/338, 847/832<br /> | Commas: 343/338, 847/832<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~11/8 = 540.099<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/8; 343/338 847/832]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br /> | Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br /> | ||
EDOs: 5, 7, 9, 11, 20<br /> | EDOs: 5, 7, 9, 11, 20<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 3.141 cents<br /> | |||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br /> | ||
| Line 2,047: | Line 2,048: | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</a><br /> | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 707.192<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 64/63 99/98]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | ||
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br /> | EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.421 cents<br /> | |||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br /> | ||
| Line 2,065: | Line 2,066: | ||
Commas: 64/63, 78/77, 99/98<br /> | Commas: 64/63, 78/77, 99/98<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~3/2 = 706.137<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 64/63 78/77 99/98]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br /> | Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br /> | ||
EDOs: 5, 7, 12, 17<br /> | EDOs: 5, 7, 12, 17<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.132 cents<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:113:&lt;h2&gt; --><h2 id="toc56"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:113 -->Machine</h2> | <!-- ws:start:WikiTextHeadingRule:113:&lt;h2&gt; --><h2 id="toc56"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:113 -->Machine</h2> | ||
| Line 2,078: | Line 2,079: | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 214.384<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 64/63 99/98]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br /> | Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br /> | ||
EDOs: 5, 6, 11, 17, 28<br /> | EDOs: 5, 6, 11, 17, 28<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.421 cents<br /> | |||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br /> | ||
| Line 2,098: | Line 2,099: | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara">pajara</a><br /> | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara">pajara</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7 = 214.095<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [7/5 8/7; 50/49 64/63]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br /> | Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br /> | ||
EDOS: 4, 6, 10, 16, 22, 28<br /> | EDOS: 4, 6, 10, 16, 22, 28<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.145 cents<br /> | |||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br /> | ||
| Line 2,118: | Line 2,119: | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meanpop</a><br /> | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meanpop</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~9/8 = 191.059<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 65/64 81/80 91/90]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br /> | Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br /> | ||
EDOs: 6, 7, 13, 19, | EDOs: 6, 7, 13, 19, 25e, 44de<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 4.906 cents<br /> | |||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br /> | ||
| Line 2,137: | Line 2,138: | ||
Comma: 49/48<br /> | Comma: 49/48<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~7/6 = 250.385<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 49/48]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 2|, &lt;0 2 1|]<br /> | Map: [&lt;1 0 2|, &lt;0 2 1|]<br /> | ||
EDOs: 5, 9, 14, 19, 24<br /> | EDOs: 5, 9, 14, 19, 24, 67c, 91c<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.046 cents<br /> | |||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br /> | ||
| Line 2,157: | Line 2,158: | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Augmented%20family">augmented</a><br /> | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Augmented%20family">augmented</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~8/7 = 228.275<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [5/4 8/7; 56/55 128/125]<br /> | ||
Gencom map:<br /> | Gencom map: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br /> | Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br /> | ||
EDOs: 3, 6, 9, 15, 21<br /> | EDOs: 3, 6, 9, 15, 21<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 5.415 cents<br /> | |||
<br /> | <br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9">Nine note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a></body></html></pre></div> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a></body></html></pre></div> | ||