5L 8s: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 532969686 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 532970248 - 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>2014-11-27 20: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2014-11-27 20:58:23 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>532970248</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+<span style="font-size: 12.8000001907349px;">276 12/13</span> || | || (2+3)/13 || || || 184 8/13+<span style="font-size: 12.8000001907349px;">276 12/13</span> || | ||
|| (9+13)/57 || || 189 9/19+273 13/19 || | || (9+13)/57 || || || 189 9/19+273 13/19 || | ||
|| (7+10)/44 || || 190 10/11+272 8/11 || | || (7+10)/44 || || || 190 10/11+272 8/11 || | ||
|| || (19+27)/119 || 191 71/119+272 32/119 || | || || (19+27)/119 || || 191 71/119+272 32/119 || | ||
|| || (12+17)/75 || 192+272 || | || || (12+17)/75 || || 192+272 || | ||
|| || (17+24)/106 || 192 25/53+271 37/53 || | || || (17+24)/106 || || 192 25/53+271 37/53 || | ||
|| (5+7)/31 || || 193 17/31+270 30/31 || | || (5+7)/31 || || || 193 17/31+270 30/31 || | ||
|| || (18+25)/111 || 194 22/37+270 10/37 || | || || (18+25)/111 || || 194 22/37+270 10/37 || | ||
|| || (13+18)/80 || 195+270 || | || || (13+18)/80 || || 195+270 || | ||
|| || (8+11)/49 || 195 45/49+269 19/49 || | || || (8+11)/49 || || 195 45/49+269 19/49 || | ||
|| || (11+15)/67 || 197 1/67+268 44/67 || | || || || (19+26)/116 || 196 16/29+268 28/29 || | ||
|| || (14+19)/85 || 197 11/17+268 4/17 || | || || (11+15)/67 || || 197 1/67+268 44/67 || | ||
|| || (17+23)/103 || 198 6/103+267 99/103 || | || || (14+19)/85 || || 197 11/17+268 4/17 || | ||
|| || (20+27)/121 || 198 42/121+267 93/121 || | || || (17+23)/103 || || 198 6/103+267 99/103 || | ||
|| || (23+31)/139 || 198 78/139+267 87/139 || | || || (20+27)/121 || || 198 42/121+267 93/121 || | ||
|| || (26+35)/157 || 198 114/157+267 81/157 || | || || (23+31)/139 || || 198 78/139+267 87/139 || | ||
|| || (29+39)/175 || 198 6/7+267 3/7 || | || || (26+35)/157 || || 198 114/157+267 81/157 || | ||
|| || (32+43)/193 || 198 186/193+267 69/193 || | || || (29+39)/175 || || 198 6/7+267 3/7 || | ||
|| || (35+47)/211 || 199 11/211+267 63/211 || | || || (32+43)/193 || || 198 186/193+267 69/193 || | ||
|| (3+4)/18 || || 200+266 2/3 || | || || (35+47)/211 || || 199 11/211+267 63/211 || | ||
|| || (19+25)/113 || 201 87/113+265 50/113 || | || (3+4)/18 || || || 200+266 2/3 || | ||
|| || (16+21)/95 || 202 2/19+265 4/19 || | || || (19+25)/113 || || 201 87/113+265 50/113 || | ||
|| || (13+17)/77 || 202 46/77+264 72/77 || | || || (16+21)/95 || || 202 2/19+265 4/19 || | ||
|| || (10+13)/59 || 203 23/59+264 24/59 || | || || (13+17)/77 || || 202 46/77+264 72/77 || | ||
|| || (7+9)/41 || 204 36/41+263 17/41 || | || || (10+13)/59 || || 203 23/59+264 24/59 || | ||
|| || (11+14)/64 || 206.25+262.5 || | || || (7+9)/41 || || 204 36/41+263 17/41 || | ||
|| || (15+19)/87 || 206 26/29+262 2/29 || | || || || (18+23)/105 || 205 5/7+262 6/7 || | ||
|| || (19+24)/110 || 207 3/11+261 9/11 || | || || (11+14)/64 || || 206.25+262.5 || | ||
|| (4+5)/23 || || 208 16/23+260 20/23 || | || || (15+19)/87 || || 206 26/29+262 2/29 || | ||
|| || (13+16)/74 || 210 30/37+259 17/37 || | || || (19+24)/110 || || 207 3/11+261 9/11 || | ||
|| || (9+11)/51 || 211 13/17+258 14/17 || | || (4+5)/23 || || || 208 16/23+260 20/23 || | ||
|| || (14+17)/79 || 212 52/79+258 18/79 || | || || (13+16)/74 || || 210 30/37+259 17/37 || | ||
|| (5+6)/28 || || 214 2/7+257 1/7 || | || || (9+11)/51 || || 211 13/17+258 14/17 || | ||
|| || (16+19)/89 || 215 65/89+256 16/89 || | || || (14+17)/79 || || 212 52/79+258 18/79 || | ||
|| || <span style="font-size: 12.8000001907349px;">(11+13)/61</span> || 216 24/61+255 45/61 || | || (5+6)/28 || || || 214 2/7+257 1/7 || | ||
|| || (17+20)/94 || 217 1/47+255 15/47 || | || || (16+19)/89 || || 215 65/89+256 16/89 || | ||
|| (6+7)/33 || || 218 2/11+254 6/11 || | || || <span style="font-size: 12.8000001907349px;">(11+13)/61</span> || || 216 24/61+255 45/61 || | ||
|| || || 240+240 ||</pre></div> | || || (17+20)/94 || || 217 1/47+255 15/47 || | ||
|| (6+7)/33 || || || 218 2/11+254 6/11 || | |||
|| || || || 240+240 ||</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>5L 8s</title></head><body>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 &quot;third&quot;. 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 &quot;minor third/major sixth&quot;) are typically the most consonant harmonies of the scale.<br /> | <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>5L 8s</title></head><body>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 &quot;third&quot;. 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 &quot;minor third/major sixth&quot;) are typically the most consonant harmonies of the scale.<br /> | ||
| Line 52: | Line 54: | ||
<tr> | <tr> | ||
<td>(2+3)/13<br /> | <td>(2+3)/13<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 60: | Line 64: | ||
<tr> | <tr> | ||
<td>(9+13)/57<br /> | <td>(9+13)/57<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 68: | Line 74: | ||
<tr> | <tr> | ||
<td>(7+10)/44<br /> | <td>(7+10)/44<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 78: | Line 86: | ||
</td> | </td> | ||
<td>(19+27)/119<br /> | <td>(19+27)/119<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>191 71/119+272 32/119<br /> | <td>191 71/119+272 32/119<br /> | ||
| Line 86: | Line 96: | ||
</td> | </td> | ||
<td>(12+17)/75<br /> | <td>(12+17)/75<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>192+272<br /> | <td>192+272<br /> | ||
| Line 94: | Line 106: | ||
</td> | </td> | ||
<td>(17+24)/106<br /> | <td>(17+24)/106<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>192 25/53+271 37/53<br /> | <td>192 25/53+271 37/53<br /> | ||
| Line 100: | Line 114: | ||
<tr> | <tr> | ||
<td>(5+7)/31<br /> | <td>(5+7)/31<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 110: | Line 126: | ||
</td> | </td> | ||
<td>(18+25)/111<br /> | <td>(18+25)/111<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>194 22/37+270 10/37<br /> | <td>194 22/37+270 10/37<br /> | ||
| Line 118: | Line 136: | ||
</td> | </td> | ||
<td>(13+18)/80<br /> | <td>(13+18)/80<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>195+270<br /> | <td>195+270<br /> | ||
| Line 126: | Line 146: | ||
</td> | </td> | ||
<td>(8+11)/49<br /> | <td>(8+11)/49<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>195 45/49+269 19/49<br /> | <td>195 45/49+269 19/49<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>(19+26)/116<br /> | |||
</td> | |||
<td>196 16/29+268 28/29<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 134: | Line 166: | ||
</td> | </td> | ||
<td>(11+15)/67<br /> | <td>(11+15)/67<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>197 1/67+268 44/67<br /> | <td>197 1/67+268 44/67<br /> | ||
| Line 142: | Line 176: | ||
</td> | </td> | ||
<td>(14+19)/85<br /> | <td>(14+19)/85<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>197 11/17+268 4/17<br /> | <td>197 11/17+268 4/17<br /> | ||
| Line 150: | Line 186: | ||
</td> | </td> | ||
<td>(17+23)/103<br /> | <td>(17+23)/103<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>198 6/103+267 99/103<br /> | <td>198 6/103+267 99/103<br /> | ||
| Line 158: | Line 196: | ||
</td> | </td> | ||
<td>(20+27)/121<br /> | <td>(20+27)/121<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>198 42/121+267 93/121<br /> | <td>198 42/121+267 93/121<br /> | ||
| Line 166: | Line 206: | ||
</td> | </td> | ||
<td>(23+31)/139<br /> | <td>(23+31)/139<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>198 78/139+267 87/139<br /> | <td>198 78/139+267 87/139<br /> | ||
| Line 174: | Line 216: | ||
</td> | </td> | ||
<td>(26+35)/157<br /> | <td>(26+35)/157<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>198 114/157+267 81/157<br /> | <td>198 114/157+267 81/157<br /> | ||
| Line 182: | Line 226: | ||
</td> | </td> | ||
<td>(29+39)/175<br /> | <td>(29+39)/175<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>198 6/7+267 3/7<br /> | <td>198 6/7+267 3/7<br /> | ||
| Line 190: | Line 236: | ||
</td> | </td> | ||
<td>(32+43)/193<br /> | <td>(32+43)/193<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>198 186/193+267 69/193<br /> | <td>198 186/193+267 69/193<br /> | ||
| Line 198: | Line 246: | ||
</td> | </td> | ||
<td>(35+47)/211<br /> | <td>(35+47)/211<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>199 11/211+267 63/211<br /> | <td>199 11/211+267 63/211<br /> | ||
| Line 204: | Line 254: | ||
<tr> | <tr> | ||
<td>(3+4)/18<br /> | <td>(3+4)/18<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 214: | Line 266: | ||
</td> | </td> | ||
<td>(19+25)/113<br /> | <td>(19+25)/113<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>201 87/113+265 50/113<br /> | <td>201 87/113+265 50/113<br /> | ||
| Line 222: | Line 276: | ||
</td> | </td> | ||
<td>(16+21)/95<br /> | <td>(16+21)/95<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>202 2/19+265 4/19<br /> | <td>202 2/19+265 4/19<br /> | ||
| Line 230: | Line 286: | ||
</td> | </td> | ||
<td>(13+17)/77<br /> | <td>(13+17)/77<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>202 46/77+264 72/77<br /> | <td>202 46/77+264 72/77<br /> | ||
| Line 238: | Line 296: | ||
</td> | </td> | ||
<td>(10+13)/59<br /> | <td>(10+13)/59<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>203 23/59+264 24/59<br /> | <td>203 23/59+264 24/59<br /> | ||
| Line 246: | Line 306: | ||
</td> | </td> | ||
<td>(7+9)/41<br /> | <td>(7+9)/41<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>204 36/41+263 17/41<br /> | <td>204 36/41+263 17/41<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>(18+23)/105<br /> | |||
</td> | |||
<td>205 5/7+262 6/7<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 254: | Line 326: | ||
</td> | </td> | ||
<td>(11+14)/64<br /> | <td>(11+14)/64<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>206.25+262.5<br /> | <td>206.25+262.5<br /> | ||
| Line 262: | Line 336: | ||
</td> | </td> | ||
<td>(15+19)/87<br /> | <td>(15+19)/87<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>206 26/29+262 2/29<br /> | <td>206 26/29+262 2/29<br /> | ||
| Line 270: | Line 346: | ||
</td> | </td> | ||
<td>(19+24)/110<br /> | <td>(19+24)/110<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>207 3/11+261 9/11<br /> | <td>207 3/11+261 9/11<br /> | ||
| Line 276: | Line 354: | ||
<tr> | <tr> | ||
<td>(4+5)/23<br /> | <td>(4+5)/23<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 286: | Line 366: | ||
</td> | </td> | ||
<td>(13+16)/74<br /> | <td>(13+16)/74<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>210 30/37+259 17/37<br /> | <td>210 30/37+259 17/37<br /> | ||
| Line 294: | Line 376: | ||
</td> | </td> | ||
<td>(9+11)/51<br /> | <td>(9+11)/51<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>211 13/17+258 14/17<br /> | <td>211 13/17+258 14/17<br /> | ||
| Line 302: | Line 386: | ||
</td> | </td> | ||
<td>(14+17)/79<br /> | <td>(14+17)/79<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>212 52/79+258 18/79<br /> | <td>212 52/79+258 18/79<br /> | ||
| Line 308: | Line 394: | ||
<tr> | <tr> | ||
<td>(5+6)/28<br /> | <td>(5+6)/28<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 318: | Line 406: | ||
</td> | </td> | ||
<td>(16+19)/89<br /> | <td>(16+19)/89<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>215 65/89+256 16/89<br /> | <td>215 65/89+256 16/89<br /> | ||
| Line 326: | Line 416: | ||
</td> | </td> | ||
<td><span style="font-size: 12.8000001907349px;">(11+13)/61</span><br /> | <td><span style="font-size: 12.8000001907349px;">(11+13)/61</span><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>216 24/61+255 45/61<br /> | <td>216 24/61+255 45/61<br /> | ||
| Line 334: | Line 426: | ||
</td> | </td> | ||
<td>(17+20)/94<br /> | <td>(17+20)/94<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>217 1/47+255 15/47<br /> | <td>217 1/47+255 15/47<br /> | ||
| Line 340: | Line 434: | ||
<tr> | <tr> | ||
<td>(6+7)/33<br /> | <td>(6+7)/33<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 347: | Line 443: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | |||
</td> | |||
<td><br /> | <td><br /> | ||
</td> | </td> | ||