Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 211803830 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 211872328 - 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>2011-03-18 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-18 16:11:50 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>211872328</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">By a //chromatic pair// is meant a pair of MOS in some rank two temperament (which may often be a [[Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">By a //chromatic pair// is meant a pair of MOS in some rank two temperament (which may often be a [[Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with [[Target tunings|tuning target]] the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give. | ||
[[toc|flat]] | [[toc|flat]] | ||
| Line 18: | Line 18: | ||
Map: [<3 0 -4|, <0 1 2|] | Map: [<3 0 -4|, <0 1 2|] | ||
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558 | EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558 | ||
Error: 0. | Error: 0.0443 cents | ||
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. | 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. | ||
| Line 34: | Line 34: | ||
Map: [<1 0 15 9], <0 1 -8 -3|] | Map: [<1 0 15 9], <0 1 -8 -3|] | ||
EDOs: 7, 12, 17, 29, 41, 53, 118, 171 | EDOs: 7, 12, 17, 29, 41, 53, 118, 171 | ||
Error: | Error: 1.819 cents | ||
[[nestoria7|Seven note albitonic scale]] | [[nestoria7|Seven note albitonic scale]] | ||
| Line 48: | Line 48: | ||
Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] | Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] | ||
EDOs: 7, 12, 17, 29, 41, 53, 65 | EDOs: 7, 12, 17, 29, 41, 53, 65 | ||
Error: | Error: 3.457 cents | ||
[[photia7|Seven note albitonic scale]] | [[photia7|Seven note albitonic scale]] | ||
| Line 62: | Line 62: | ||
Map: [<1 0 1 0|, <0 6 5 14|] | Map: [<1 0 1 0|, <0 6 5 14|] | ||
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246 | EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246 | ||
Error: 0. | Error: 0.9355 cents | ||
[[cata7|Seven note albitonic scale]] | [[cata7|Seven note albitonic scale]] | ||
| Line 78: | Line 78: | ||
Map: [<1 0 -6 -1|, <0 2 9 3|] | Map: [<1 0 -6 -1|, <0 2 9 3|] | ||
EDOs: 5, 9, 14, 19, 24, 29 | EDOs: 5, 9, 14, 19, 24, 29 | ||
Error: 0. | Error: 0.8996 cents | ||
[[bridgetown9|Nine note albitonic scale]] | [[bridgetown9|Nine note albitonic scale]] | ||
| Line 91: | Line 91: | ||
Map: [<1 5 4 4|, <0 -9 -4 -1|] | Map: [<1 5 4 4|, <0 -9 -4 -1|] | ||
EDOs: 7, 10, 17, 27, 37, 84, 121, 400 | EDOs: 7, 10, 17, 27, 37, 84, 121, 400 | ||
Error: | Error: 2.1001 cents | ||
[[huntington7|Seven note haplotonic scale]] | [[huntington7|Seven note haplotonic scale]] | ||
| Line 105: | Line 105: | ||
Map: [<1 0 1 3|, <0 8 7 2|] | Map: [<1 0 1 3|, <0 8 7 2|] | ||
EDOs: 17, 20, 37, 57, 94, 225 | EDOs: 17, 20, 37, 57, 94, 225 | ||
Error: | Error: 2.665 cents | ||
[[bossier8|Eight note albitonic scale]] | [[bossier8|Eight note albitonic scale]] | ||
| Line 120: | Line 120: | ||
Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|] | Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|] | ||
EDOs: 6, 7, 13, 19, 25, 31, 37 | EDOs: 6, 7, 13, 19, 25, 31, 37 | ||
Error: | Error: 2.555 cents | ||
[[roulette6|Six note haplotonic scale]] | [[roulette6|Six note haplotonic scale]] | ||
| Line 136: | Line 136: | ||
Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|] | Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|] | ||
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147 | EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147 | ||
Error: | Error: 2.617 cents | ||
[[baldy6|Six note haplotonic scale]] | [[baldy6|Six note haplotonic scale]] | ||
| Line 151: | Line 151: | ||
Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | ||
EDOs: 7, 10, 17, 24, 41, 58 | EDOs: 7, 10, 17, 24, 41, 58 | ||
Error: | Error: 4.867 cents | ||
[[hemif7|Seven note haplotonic scale]] | [[hemif7|Seven note haplotonic scale]] | ||
| Line 166: | Line 166: | ||
Map: [<1 1 3 6|, <0 3 -1 -13|] | Map: [<1 1 3 6|, <0 3 -1 -13|] | ||
EDOs: 5, 36, 41, 87, 128 | EDOs: 5, 36, 41, 87, 128 | ||
Error: | Error: 2.925 cents | ||
[[radon5|Five note haplotonic scale]] | [[radon5|Five note haplotonic scale]] | ||
| Line 181: | Line 181: | ||
Map: [<1 0 7 12|, <0 1 -4 -7|] | Map: [<1 0 7 12|, <0 1 -4 -7|] | ||
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271 | EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271 | ||
Error: | Error: 1.298 cents | ||
[[pepperoni7|Seven note albitonic scale]] | [[pepperoni7|Seven note albitonic scale]] | ||
| Line 337: | Line 337: | ||
</pre></div> | </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>By a <em>chromatic pair</em> is meant a pair of MOS in some rank two temperament (which may often be a <a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup temperament</a>) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;. Also included at times are &quot;haplotonic&quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing | <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>By a <em>chromatic pair</em> is meant a pair of MOS in some rank two temperament (which may often be a <a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup temperament</a>) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;. Also included at times are &quot;haplotonic&quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with <a class="wiki_link" href="/Target%20tunings">tuning target</a> the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextTocRule:46:&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:46 --><!-- ws:start:WikiTextTocRule:47: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <!-- ws:start:WikiTextTocRule:46:&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:46 --><!-- ws:start:WikiTextTocRule:47: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | ||
| Line 349: | Line 349: | ||
Map: [&lt;3 0 -4|, &lt;0 1 2|]<br /> | Map: [&lt;3 0 -4|, &lt;0 1 2|]<br /> | ||
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br /> | EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br /> | ||
Error: 0. | Error: 0.0443 cents<br /> | ||
<br /> | <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 /> | 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 /> | ||
| Line 365: | Line 365: | ||
Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br /> | Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br /> | ||
EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br /> | EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br /> | ||
Error: | Error: 1.819 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br /> | ||
| Line 379: | Line 379: | ||
Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br /> | Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br /> | ||
EDOs: 7, 12, 17, 29, 41, 53, 65<br /> | EDOs: 7, 12, 17, 29, 41, 53, 65<br /> | ||
Error: | Error: 3.457 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br /> | ||
| Line 393: | Line 393: | ||
Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br /> | Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br /> | ||
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br /> | EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br /> | ||
Error: 0. | Error: 0.9355 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br /> | ||
| Line 409: | Line 409: | ||
Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br /> | Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br /> | ||
EDOs: 5, 9, 14, 19, 24, 29<br /> | EDOs: 5, 9, 14, 19, 24, 29<br /> | ||
Error: 0. | Error: 0.8996 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br /> | ||
| Line 422: | Line 422: | ||
Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br /> | Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br /> | ||
EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br /> | EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br /> | ||
Error: | Error: 2.1001 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br /> | ||
| Line 436: | Line 436: | ||
Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br /> | Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br /> | ||
EDOs: 17, 20, 37, 57, 94, 225<br /> | EDOs: 17, 20, 37, 57, 94, 225<br /> | ||
Error: | Error: 2.665 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br /> | ||
| Line 451: | Line 451: | ||
Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br /> | Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br /> | ||
EDOs: 6, 7, 13, 19, 25, 31, 37<br /> | EDOs: 6, 7, 13, 19, 25, 31, 37<br /> | ||
Error: | Error: 2.555 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br /> | ||
| Line 467: | Line 467: | ||
Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br /> | Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br /> | ||
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br /> | EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br /> | ||
Error: | Error: 2.617 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br /> | ||
| Line 482: | Line 482: | ||
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | ||
EDOs: 7, 10, 17, 24, 41, 58<br /> | EDOs: 7, 10, 17, 24, 41, 58<br /> | ||
Error: | Error: 4.867 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br /> | <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br /> | ||
| Line 497: | Line 497: | ||
Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br /> | Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br /> | ||
EDOs: 5, 36, 41, 87, 128<br /> | EDOs: 5, 36, 41, 87, 128<br /> | ||
Error: | Error: 2.925 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br /> | ||
| Line 512: | Line 512: | ||
Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br /> | Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br /> | ||
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br /> | EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br /> | ||
Error: | Error: 1.298 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br /> | ||