53edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 330519056 - Original comment: ** |
Wikispaces>phylingual **Imported revision 343178536 - 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: | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-06-06 10:14:56 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>343178536</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> | ||
Line 32: | Line 32: | ||
=Intervals= | =Intervals= | ||
|| degrees of 53edo || cents value || generator for || | || degrees of 53edo || cents value || approximate 13-limit ratios || generator for || | ||
|| 0 || 0.00 || || | || 0 || 0.00 || 1/1 || || | ||
|| 1 || 22.64 || || | || 1 || 22.64 || 81/80, 64/63, 50/49 || || | ||
|| 2 || 45.28 || [[xenharmonic/Quartonic|Quartonic]] || | || 2 || 45.28 || 49/48, 36/35, 33/32 || [[xenharmonic/Quartonic|Quartonic]] || | ||
|| 3 || 67.92 || || | || 3 || 67.92 || 27/26, 26/25, 25/24, 22/21 || || | ||
|| 4 || 90.57 || || | || 4 || 90.57 || 21/20 || || | ||
|| 5 || 113.21 || || | || 5 || 113.21 || 16/15, 15/14 || || | ||
|| 6 || 135.85 || || | || 6 || 135.85 || 14/13, 13/12 || || | ||
|| 7 || 158.49 || [[xenharmonic/Hemikleismic|Hemikleismic]] || | || 7 || 158.49 || 12/11, 11/10 || [[xenharmonic/Hemikleismic|Hemikleismic]] || | ||
|| 8 || 181.13 || || | || 8 || 181.13 || 10/9 || || | ||
|| 9 || 203.77 || || | || 9 || 203.77 || 9/8 || || | ||
|| 10 || 226.42 || || | || 10 || 226.42 || 8/7 || || | ||
|| 11 || 249.06 || [[xenharmonic/Hemischis|Hemischis]] || | || 11 || 249.06 || 15/13 || [[xenharmonic/Hemischis|Hemischis]] || | ||
|| 12 || 271.70 || [[xenharmonic/Orwell|Orwell]] || | || 12 || 271.70 || 7/6 || [[xenharmonic/Orwell|Orwell]] || | ||
|| 13 || 294.34 || || | || 13 || 294.34 || 13/11 || || | ||
|| 14 || 316.98 || [[xenharmonic/Hanson|Hanson]]/[[xenharmonic/Catakleismic|Catakleismic]] || | || 14 || 316.98 || 6/5 || [[xenharmonic/Hanson|Hanson]]/[[xenharmonic/Catakleismic|Catakleismic]] || | ||
|| 15 || 339.62 || [[xenharmonic/Amity|Amity]]/[[xenharmonic/Hitchcock|Hitchcock]] || | || 15 || 339.62 || 11/9 || [[xenharmonic/Amity|Amity]]/[[xenharmonic/Hitchcock|Hitchcock]] || | ||
|| 16 || 362.26 || || | || 16 || 362.26 || 16/13 || || | ||
|| 17 || 384.91 || || | || 17 || 384.91 || 5/4 || || | ||
|| 18 || 407.55 || || | || 18 || 407.55 || 14/11 || || | ||
|| 19 || 430.19 || || | || 19 || 430.19 || 9/7 || || | ||
|| 20 || 452.83 || || | || 20 || 452.83 || 13/10 || || | ||
|| 21 || 475.47 || [[xenharmonic/Vulture|Vulture]]/[[xenharmonic/Buzzard|Buzzard]] || | || 21 || 475.47 || 21/16 || [[xenharmonic/Vulture|Vulture]]/[[xenharmonic/Buzzard|Buzzard]] || | ||
|| 22 || 498.11 || || | || 22 || 498.11 || 4/3 || || | ||
|| 23 || 520.75 || || | || 23 || 520.75 || 27/20 || || | ||
|| 24 || 543.40 || || | || 24 || 543.40 || 11/8, 15/11 || || | ||
|| 25 || 566.04 || [[xenharmonic/Tricot|Tricot]] || | || 25 || 566.04 || 18/13 || [[xenharmonic/Tricot|Tricot]] || | ||
|| 26 || 588.68 || || | || 26 || 588.68 || 7/5 || || | ||
|| 27 || 611.32 || || | || 27 || 611.32 || 10/7 || || | ||
|| 28 || 633.96 || || | || 28 || 633.96 || 13/9 || || | ||
|| 29 || 656.60 || || | || 29 || 656.60 || 16/11, 22/15 || || | ||
|| 30 || 679.25 || || | || 30 || 679.25 || 40/27 || || | ||
|| 31 || 701.89 || [[xenharmonic/Helmholtz|Helmholtz]]/[[xenharmonic/Garibaldi|Garibaldi]] || | || 31 || 701.89 || 3/2 || [[xenharmonic/Helmholtz|Helmholtz]]/[[xenharmonic/Garibaldi|Garibaldi]] || | ||
|| 32 || 724.53 || || | || 32 || 724.53 || 32/21 || || | ||
|| 33 || 747.17 || || | || 33 || 747.17 || 20/13 || || | ||
|| 34 || 769.81 || || | || 34 || 769.81 || 14/9, 25/16 || || | ||
|| 35 || 792.45 || || | || 35 || 792.45 || 11/7 || || | ||
|| 36 || 815.09 || || | || 36 || 815.09 || 8/5 || || | ||
|| 37 || 837.74 || || | || 37 || 837.74 || 13/8 || || | ||
|| 38 || 860.38 || || | || 38 || 860.38 || 18/11 || || | ||
|| 39 || 883.02 || || | || 39 || 883.02 || 5/3 || || | ||
|| 40 || 905.66 || || | || 40 || 905.66 || 22/13, 27/16 || || | ||
|| 41 || 928.30 || || | || 41 || 928.30 || 12/7 || || | ||
|| 42 || 950.94 || || | || 42 || 950.94 || 26/15 || || | ||
|| 43 || 973.58 || || | || 43 || 973.58 || 7/4 || || | ||
|| 44 || 996.23 || || | || 44 || 996.23 || 16/9 || || | ||
|| 45 || 1018.87 || || | || 45 || 1018.87 || 9/5 || || | ||
|| 46 || 1041.51 || || | || 46 || 1041.51 || 11/6, 20/11 || || | ||
|| 47 || 1064.15 || || | || 47 || 1064.15 || 13/7, 24/13 || || | ||
|| 48 || 1086.79 || || | || 48 || 1086.79 || 15/8 || || | ||
|| 49 || 1109.43 || || | || 49 || 1109.43 || 40/21 || || | ||
|| 50 || 1132.08 || || | || 50 || 1132.08 || 48/25 || || | ||
|| 51 || 1154.72 || || | || 51 || 1154.72 || || || | ||
|| 52 || 1177.36 || || | || 52 || 1177.36 || || || | ||
Line 184: | Line 184: | ||
</td> | </td> | ||
<td>cents value<br /> | <td>cents value<br /> | ||
</td> | |||
<td>approximate 13-limit ratios<br /> | |||
</td> | </td> | ||
<td>generator for<br /> | <td>generator for<br /> | ||
Line 192: | Line 194: | ||
</td> | </td> | ||
<td>0.00<br /> | <td>0.00<br /> | ||
</td> | |||
<td>1/1<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 200: | Line 204: | ||
</td> | </td> | ||
<td>22.64<br /> | <td>22.64<br /> | ||
</td> | |||
<td>81/80, 64/63, 50/49<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 208: | Line 214: | ||
</td> | </td> | ||
<td>45.28<br /> | <td>45.28<br /> | ||
</td> | |||
<td>49/48, 36/35, 33/32<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Quartonic">Quartonic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Quartonic">Quartonic</a><br /> | ||
Line 216: | Line 224: | ||
</td> | </td> | ||
<td>67.92<br /> | <td>67.92<br /> | ||
</td> | |||
<td>27/26, 26/25, 25/24, 22/21<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 224: | Line 234: | ||
</td> | </td> | ||
<td>90.57<br /> | <td>90.57<br /> | ||
</td> | |||
<td>21/20<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 232: | Line 244: | ||
</td> | </td> | ||
<td>113.21<br /> | <td>113.21<br /> | ||
</td> | |||
<td>16/15, 15/14<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 240: | Line 254: | ||
</td> | </td> | ||
<td>135.85<br /> | <td>135.85<br /> | ||
</td> | |||
<td>14/13, 13/12<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 248: | Line 264: | ||
</td> | </td> | ||
<td>158.49<br /> | <td>158.49<br /> | ||
</td> | |||
<td>12/11, 11/10<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemikleismic">Hemikleismic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemikleismic">Hemikleismic</a><br /> | ||
Line 256: | Line 274: | ||
</td> | </td> | ||
<td>181.13<br /> | <td>181.13<br /> | ||
</td> | |||
<td>10/9<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 264: | Line 284: | ||
</td> | </td> | ||
<td>203.77<br /> | <td>203.77<br /> | ||
</td> | |||
<td>9/8<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 272: | Line 294: | ||
</td> | </td> | ||
<td>226.42<br /> | <td>226.42<br /> | ||
</td> | |||
<td>8/7<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 280: | Line 304: | ||
</td> | </td> | ||
<td>249.06<br /> | <td>249.06<br /> | ||
</td> | |||
<td>15/13<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemischis">Hemischis</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemischis">Hemischis</a><br /> | ||
Line 288: | Line 314: | ||
</td> | </td> | ||
<td>271.70<br /> | <td>271.70<br /> | ||
</td> | |||
<td>7/6<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Orwell">Orwell</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Orwell">Orwell</a><br /> | ||
Line 296: | Line 324: | ||
</td> | </td> | ||
<td>294.34<br /> | <td>294.34<br /> | ||
</td> | |||
<td>13/11<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 304: | Line 334: | ||
</td> | </td> | ||
<td>316.98<br /> | <td>316.98<br /> | ||
</td> | |||
<td>6/5<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hanson">Hanson</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Catakleismic">Catakleismic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hanson">Hanson</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Catakleismic">Catakleismic</a><br /> | ||
Line 312: | Line 344: | ||
</td> | </td> | ||
<td>339.62<br /> | <td>339.62<br /> | ||
</td> | |||
<td>11/9<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Amity">Amity</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hitchcock">Hitchcock</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Amity">Amity</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hitchcock">Hitchcock</a><br /> | ||
Line 320: | Line 354: | ||
</td> | </td> | ||
<td>362.26<br /> | <td>362.26<br /> | ||
</td> | |||
<td>16/13<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 328: | Line 364: | ||
</td> | </td> | ||
<td>384.91<br /> | <td>384.91<br /> | ||
</td> | |||
<td>5/4<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 336: | Line 374: | ||
</td> | </td> | ||
<td>407.55<br /> | <td>407.55<br /> | ||
</td> | |||
<td>14/11<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 344: | Line 384: | ||
</td> | </td> | ||
<td>430.19<br /> | <td>430.19<br /> | ||
</td> | |||
<td>9/7<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 352: | Line 394: | ||
</td> | </td> | ||
<td>452.83<br /> | <td>452.83<br /> | ||
</td> | |||
<td>13/10<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 360: | Line 404: | ||
</td> | </td> | ||
<td>475.47<br /> | <td>475.47<br /> | ||
</td> | |||
<td>21/16<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vulture">Vulture</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Buzzard">Buzzard</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vulture">Vulture</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Buzzard">Buzzard</a><br /> | ||
Line 368: | Line 414: | ||
</td> | </td> | ||
<td>498.11<br /> | <td>498.11<br /> | ||
</td> | |||
<td>4/3<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 376: | Line 424: | ||
</td> | </td> | ||
<td>520.75<br /> | <td>520.75<br /> | ||
</td> | |||
<td>27/20<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 384: | Line 434: | ||
</td> | </td> | ||
<td>543.40<br /> | <td>543.40<br /> | ||
</td> | |||
<td>11/8, 15/11<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 392: | Line 444: | ||
</td> | </td> | ||
<td>566.04<br /> | <td>566.04<br /> | ||
</td> | |||
<td>18/13<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tricot">Tricot</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tricot">Tricot</a><br /> | ||
Line 400: | Line 454: | ||
</td> | </td> | ||
<td>588.68<br /> | <td>588.68<br /> | ||
</td> | |||
<td>7/5<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 408: | Line 464: | ||
</td> | </td> | ||
<td>611.32<br /> | <td>611.32<br /> | ||
</td> | |||
<td>10/7<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 416: | Line 474: | ||
</td> | </td> | ||
<td>633.96<br /> | <td>633.96<br /> | ||
</td> | |||
<td>13/9<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 424: | Line 484: | ||
</td> | </td> | ||
<td>656.60<br /> | <td>656.60<br /> | ||
</td> | |||
<td>16/11, 22/15<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 432: | Line 494: | ||
</td> | </td> | ||
<td>679.25<br /> | <td>679.25<br /> | ||
</td> | |||
<td>40/27<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 440: | Line 504: | ||
</td> | </td> | ||
<td>701.89<br /> | <td>701.89<br /> | ||
</td> | |||
<td>3/2<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Helmholtz">Helmholtz</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Garibaldi">Garibaldi</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Helmholtz">Helmholtz</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Garibaldi">Garibaldi</a><br /> | ||
Line 448: | Line 514: | ||
</td> | </td> | ||
<td>724.53<br /> | <td>724.53<br /> | ||
</td> | |||
<td>32/21<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 456: | Line 524: | ||
</td> | </td> | ||
<td>747.17<br /> | <td>747.17<br /> | ||
</td> | |||
<td>20/13<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 464: | Line 534: | ||
</td> | </td> | ||
<td>769.81<br /> | <td>769.81<br /> | ||
</td> | |||
<td>14/9, 25/16<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 472: | Line 544: | ||
</td> | </td> | ||
<td>792.45<br /> | <td>792.45<br /> | ||
</td> | |||
<td>11/7<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 480: | Line 554: | ||
</td> | </td> | ||
<td>815.09<br /> | <td>815.09<br /> | ||
</td> | |||
<td>8/5<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 488: | Line 564: | ||
</td> | </td> | ||
<td>837.74<br /> | <td>837.74<br /> | ||
</td> | |||
<td>13/8<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 496: | Line 574: | ||
</td> | </td> | ||
<td>860.38<br /> | <td>860.38<br /> | ||
</td> | |||
<td>18/11<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 504: | Line 584: | ||
</td> | </td> | ||
<td>883.02<br /> | <td>883.02<br /> | ||
</td> | |||
<td>5/3<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 512: | Line 594: | ||
</td> | </td> | ||
<td>905.66<br /> | <td>905.66<br /> | ||
</td> | |||
<td>22/13, 27/16<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 520: | Line 604: | ||
</td> | </td> | ||
<td>928.30<br /> | <td>928.30<br /> | ||
</td> | |||
<td>12/7<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 528: | Line 614: | ||
</td> | </td> | ||
<td>950.94<br /> | <td>950.94<br /> | ||
</td> | |||
<td>26/15<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 536: | Line 624: | ||
</td> | </td> | ||
<td>973.58<br /> | <td>973.58<br /> | ||
</td> | |||
<td>7/4<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 544: | Line 634: | ||
</td> | </td> | ||
<td>996.23<br /> | <td>996.23<br /> | ||
</td> | |||
<td>16/9<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 552: | Line 644: | ||
</td> | </td> | ||
<td>1018.87<br /> | <td>1018.87<br /> | ||
</td> | |||
<td>9/5<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 560: | Line 654: | ||
</td> | </td> | ||
<td>1041.51<br /> | <td>1041.51<br /> | ||
</td> | |||
<td>11/6, 20/11<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 568: | Line 664: | ||
</td> | </td> | ||
<td>1064.15<br /> | <td>1064.15<br /> | ||
</td> | |||
<td>13/7, 24/13<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 576: | Line 674: | ||
</td> | </td> | ||
<td>1086.79<br /> | <td>1086.79<br /> | ||
</td> | |||
<td>15/8<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 584: | Line 684: | ||
</td> | </td> | ||
<td>1109.43<br /> | <td>1109.43<br /> | ||
</td> | |||
<td>40/21<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 592: | Line 694: | ||
</td> | </td> | ||
<td>1132.08<br /> | <td>1132.08<br /> | ||
</td> | |||
<td>48/25<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 600: | Line 704: | ||
</td> | </td> | ||
<td>1154.72<br /> | <td>1154.72<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 608: | Line 714: | ||
</td> | </td> | ||
<td>1177.36<br /> | <td>1177.36<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> |