5L 8s: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 551983422 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 563019239 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-23 20:54:42 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-10-19 16:13:34 UTC</tt>.<br>
: The original revision id was <tt>551983422</tt>.<br>
: The original revision id was <tt>563019239</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">This MOS, representing tempered chains of the 21st harmonic, is the chromatic scale of Semisept/A-team and Vulture temperaments. The major problematic of approaching it from a traditional tonality point of view is that, at best, it partially misses syntonic root-third-fifth triads unless you are extremely generous with the definition of the category of a "third". However, it does hit the correct syntonic second and seventh, so that insofar as the major second/minor seventh is a consonance, stacks of it (occasionally mixed with the "minor third/major sixth") are typically the most consonant harmonies of the scale.
<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">This MOS, representing tempered chains of the 21st harmonic, is the chromatic scale of Semisept/A-team and Vulture temperaments. The major problematic of approaching it from a traditional tonality point of view is that, at best, it partially misses syntonic root-third-fifth triads unless you are extremely generous with the definition of the category of a "third". However, it does hit the correct syntonic second and seventh, so that insofar as the major second/minor seventh is a consonance, stacks of it (occasionally mixed with the "minor third/major sixth") are typically the most consonant harmonies of the scale.
|| (2+3)/13 ||  ||  || 184 8/13+&lt;span style="font-size: 12.8000001907349px;"&gt;276 12/13&lt;/span&gt; ||
|| (2+3)/13 ||  ||  || 184.615+&lt;span style="font-size: 12.8000001907349px;"&gt;276.923&lt;/span&gt; ||
|| (9+13)/57 ||  ||  || 189 9/19+273 13/19 ||
|| (9+13)/57 ||  ||  || 189.474+273.684 ||
|| (7+10)/44 ||  ||  || 190 10/11+272 8/11 ||
|| (7+10)/44 ||  ||  || 190.909+272.727 ||
||  || (19+27)/119 ||  || 191 71/119+272 32/119 ||
||  || (19+27)/119 ||  || 191.597+272.269 ||
||  || (12+17)/75 ||  || 192+272 ||
||  || (12+17)/75 ||  || 192+272 ||
||  || (17+24)/106 ||  || 192 25/53+271 37/53 ||
||  || (17+24)/106 ||  || 192.472+271.698 ||
|| (5+7)/31 ||  ||  || 193 17/31+270 30/31 ||
|| (5+7)/31 ||  ||  || 193.548+270.968 ||
||  || (18+25)/111 ||  || 194 22/37+270 10/37 ||
||  || (18+25)/111 ||  || 194.595+270.27 ||
||  || (13+18)/80 ||  || 195+270 ||
||  || (13+18)/80 ||  || 195+270 ||
||  || (8+11)/49 ||  || 195 45/49+269 19/49 ||
||  ||  ||  || 195.252+269.832 ||
||  ||  || (19+26)/116 || 196 16/29+268 28/29 ||
||  ||  || (21+29)/129 || 195.349+269.907 ||
||  || (11+15)/67 ||  || 197 1/67+268 44/67 ||
||  || (8+11)/49 ||  || 195.918+269.388 ||
||  || (14+19)/85 ||  || 197 11/17+268 4/17 ||
||  ||  || (19+26)/116 || 196.552+268.966 ||
||  || (17+23)/103 ||  || 198 6/103+267 99/103 ||
||  || (11+15)/67 ||  || 197.015+268.657 ||
||  || (20+27)/121 ||  || 198 42/121+267 93/121 ||
||  || (14+19)/85 ||  || 197.647+268.235 ||
||  || (23+31)/139 ||  || 198 78/139+267 87/139 ||
||  || (17+23)/103 ||  || 198.058+267.961 ||
||  || (26+35)/157 ||  || 198 114/157+267 81/157 ||
||  || (20+27)/121 ||  || 198.347+267.769 ||
||  || (29+39)/175 ||  || 198 6/7+267 3/7 ||
||  || (23+31)/139 ||  || 198.561+267.626 ||
||  || (32+43)/193 ||  || 198 186/193+267 69/193 ||
||  || (26+35)/157 ||  || 198.726+267.516 ||
||  || (35+47)/211 ||  || 199 11/211+267 63/211 ||
||  || (29+39)/175 ||  || 198.857+267.429 ||
|| (3+4)/18 ||  ||  || 200+266 2/3 ||
||  || (32+43)/193 ||  || 198.964+267.358 ||
||  || (19+25)/113 ||  || 201 87/113+265 50/113 ||
||  || (35+47)/211 ||  || 199.052+267.299 ||
||  || (16+21)/95 ||  || 202 2/19+265 4/19 ||
|| (3+4)/18 ||  ||  || 200+266.667 ||
||  || (13+17)/77 ||  || 202 46/77+264 72/77 ||
||  || (19+25)/113 ||  || 201.77+265.442 ||
||  || (10+13)/59 ||  || 203 23/59+264 24/59 ||
||  || (16+21)/95 ||  || 202.105+265.2105 ||
||  || (7+9)/41 ||  || 204 36/41+263 17/41 ||
||  || (13+17)/77 ||  || 202.597+264.935 ||
||  ||  || (18+23)/105 || 205 5/7+262 6/7 ||
||  || (10+13)/59 ||  || 203.39+264.407 ||
||  || (7+9)/41 ||  || 204.878+263.415 ||
||  ||  || (18+23)/105 || 205.714+262.857 ||
||  ||  ||  || 205.861+262.759 ||
||  || (11+14)/64 ||  || 206.25+262.5 ||
||  || (11+14)/64 ||  || 206.25+262.5 ||
||  ||  ||  || 206.653404+262.231064 ||
||  ||  ||  || 206.653+262.231 ||
||  || (15+19)/87 ||  || 206 26/29+262 2/29 ||
||  || (15+19)/87 ||  || 206.897+262.069 ||
||  || (19+24)/110 ||  || 207 3/11+261 9/11 ||
||  || (19+24)/110 ||  || 207.273+261.818 ||
|| (4+5)/23 ||  ||  || 208 16/23+260 20/23 ||
|| (4+5)/23 ||  ||  || 208.696+260.870 ||
||  ||  ||  || 209.630457+260.246362 ||
||  ||  ||  || 209.6305+260.246 ||
||  || (13+16)/74 ||  || 210 30/37+259 17/37 ||
||  || (13+16)/74 ||  || 210.811+259.459 ||
||  || (9+11)/51 ||  || 211 13/17+258 14/17 ||
||  || (9+11)/51 ||  || 211.765+257.824 ||
||  || (14+17)/79 ||  || 212 52/79+258 18/79 ||
||  || (14+17)/79 ||  || 212.658+258.346 ||
|| (5+6)/28 ||  ||  || 214 2/7+257 1/7 ||
|| (5+6)/28 ||  ||  || 214.286+257.143 ||
||  || (16+19)/89 ||  || 215 65/89+256 16/89 ||
||  || (16+19)/89 ||  || 215.73+256.18 ||
||  || &lt;span style="font-size: 12.8000001907349px;"&gt;(11+13)/61&lt;/span&gt; ||  || 216 24/61+255 45/61 ||
||  || &lt;span style="font-size: 12.8000001907349px;"&gt;(11+13)/61&lt;/span&gt; ||  || 216.393+255.738 ||
||  || (17+20)/94 ||  || 217 1/47+255 15/47 ||
||  || (17+20)/94 ||  || 217.021+255.319 ||
|| (6+7)/33 ||  ||  || 218 2/11+254 6/11 ||
|| (6+7)/33 ||  ||  || 218.182+254.5455 ||
|| (1+1)/5 ||  ||  || 240+240 ||</pre></div>
|| (1+1)/5 ||  ||  || 240+240 ||</pre></div>
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     &lt;/tr&gt;
     &lt;/tr&gt;
Line 371: Line 404:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;208 16/23+260 20/23&lt;br /&gt;
         &lt;td&gt;208.696+260.870&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 381: Line 414:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;209.630457+260.246362&lt;br /&gt;
         &lt;td&gt;209.6305+260.246&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 391: Line 424:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;210 30/37+259 17/37&lt;br /&gt;
         &lt;td&gt;210.811+259.459&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 401: Line 434:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;211 13/17+258 14/17&lt;br /&gt;
         &lt;td&gt;211.765+257.824&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 411: Line 444:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;212 52/79+258 18/79&lt;br /&gt;
         &lt;td&gt;212.658+258.346&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 421: Line 454:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;214 2/7+257 1/7&lt;br /&gt;
         &lt;td&gt;214.286+257.143&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 431: Line 464:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;215 65/89+256 16/89&lt;br /&gt;
         &lt;td&gt;215.73+256.18&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 441: Line 474:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;216 24/61+255 45/61&lt;br /&gt;
         &lt;td&gt;216.393+255.738&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 451: Line 484:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;217 1/47+255 15/47&lt;br /&gt;
         &lt;td&gt;217.021+255.319&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 461: Line 494:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;218 2/11+254 6/11&lt;br /&gt;
         &lt;td&gt;218.182+254.5455&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;