103edo
IMPORTED REVISION FROM WIKISPACES
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Original Wikitext content:
**103edo** is the [[equal division of the octave]] into 103 steps of size 11.6505 [[cent]]s each. It is a good [[Gamelismic clan|miracle]] tuning, especially for the [[7-limit|7-]] and [[13-limi|13-]] limits and [[Gamelismic clan|benediction]] and [[Gamelismic clan|hemisecordite]], two of the [[13-limit]] extensions of miracle. It [[tempering out|tempers out]] 78732/78125 in the [[5-limit]]; 225/224, 1029/1024 and 2401/2400 in the 7-limit; 243/242, 441/440 and 540/539 in the [[11-limit]]; 351/350 and 847/845 in the 13-limit. In the 13-limit it provides the optimal patent val for [[Marvel family#Marvel|marvel temperament]] as well as [[Gamelismic clan#Miracle|benediction]] and [[Gamelismic clan#Hemisecordite|hemisecordite]]. 103edo is the 27th [[prime numbers|prime]] edo. ===13-limit temperaments=== || Degree || cents || temperament || || 1 || 11.650 || Marvel and Benediction || || 2 || 23.301 || Hemisecordite || || 3 || 34.951 || Marvel and Benediction, Hemisecordite || || 4 || 46.602 || Marvel and Benediction || || 5 || 58.252 || Hemisecordite || || 6 || 69.903 || Marvel and Benediction || || 7 || 81.553 || Marvel and Benediction, Hemisecordite || || 8 || 93.204 || Hemisecordite || || 9 || 104.854 || Marvel and Benediction || || 10 || 116.505 || Marvel and Benediction, Hemisecordite || || 11 || 128.155 || Marvel and Benediction || || 12 || 139.806 || Hemisecordite || || 13 || 151.456 || Marvel and Benediction, Hemisecordite || || 14 || 163.107 || Marvel and Benediction || || 15 || 174.757 || Hemisecordite || || 16 || 186.408 || Marvel and Benediction || || 17 || 198.058 || Marvel and Benediction, Hemisecordite || || 18 || 209.708 || Hemisecordite || || 19 || 221.359 || Marvel and Benediction || || 20 || 233.010 || Marvel and Benediction, Hemisecordite || || 21 || 244.660 || Marvel and Benediction || || 22 || 256.311 || Hemisecordite || || 23 || 267.961 || Marvel and Benediction, Hemisecordite || || 24 || 279.712 || Marvel and Benediction || || 25 || 291.262 || Hemisecordite || || 26 || 303.013 || Marvel and Benediction || || 27 || 314.563 || Marvel and Benediction, Hemisecordite || || 28 || 326.214 || Hemisecordite || || 29 || 337.864 || Marvel and Benediction || || 30 || 349.615 || Marvel and Benediction, Hemisecordite || || 31 || 361.165 || Marvel and Benediction || || 32 || 372.816 || Hemisecordite || || 33 || 384.466 || Marvel and Benediction, Hemisecordite || || 34 || 396.117 || Marvel and Benediction || || 35 || 407.767 || Hemisecordite || || 36 || 419.4175 || Marvel and Benediction || || 37 || 431.068 || Marvel and Benediction, Hemisecordite || || 38 || 442.708 || Hemisecordite || || 39 || 454.369 || Marvel and Benediction || || 40 || 466.019 || Marvel and Benediction, Hemisecordite || || 41 || 477.670 || Marvel and Benediction || || 42 || 489.320 || Hemisecordite || || 43 || 500.971 || Marvel and Benediction, Hemisecordite || || 44 || 512.621 || Marvel and Benediction || || 45 || 524.272 || Hemisecordite || || 46 || 535.922 || Marvel and Benediction || || 47 || 547.573 || Marevel and Benediction, Hemisecordite || || 48 || 559.223 || Hemisecordite || || 49 || 570.874 || Marvel and Benediction || || 50 || 582.524 || Marvel and Benediction, Hemisecordite || || 52 || 605.825 || Marvel and Benediction, Hemisecordite || || 53 || 617.476 || Marvel and Benediction, Hemisecordite || || 54 || 629.126 || Marvel and Benediction || || 55 || 640.777 || Hemisecordite || || 56 || 652.427 || Marvel and Benediction, Hemisecordite || || 57 || 664.078 || Marvel and Benediction || || 58 || 675.728 || Hemisecordite || || 59 || 687.379 || Marvel and Benediction || || 60 || 699.029 || Marvel and Benediction, Hemisecordite || || 61 || 710.677 || Hemisecordite || || 62 || 722.330 || Marvel and Benediction || || 63 || 733.981 || Marvel and Benediction, Hemisecordite || || 64 || 745.631 || Marvel and Benediction || || 65 || 757.282 || Hemisecordite || || 66 || 768.932 || Marvel and Benediction, Hemisecordite || || 67 || 780.583 || Marvel and Benediction || || 68 || 792.233 || Hemisecordite || || 69 || 803.883 || Marvel and Benediction || || 70 || 815.534 || Marvel and Benediction, Hemisecordite || || 71 || 827.185 || Hemisecordite || || 72 || 838.835 || Marvel and Benediction || || 73 || 850.385 || Marvel and Benediction. Hemisecordite || || 74 || 862.156 || Marvel and Benediction || || 75 || 873.786 || Hemisecordite || || 76 || 885.537 || Marvel and Benediction, Hemisecordite || || 77 || 896.987 || Marvel and Benediction || || 78 || 908.638 || Hemisecordite || || 79 || 920.388 || Marvel and Benediction, Hemisecordite || || 80 || 932.039 || Marvel and Benediction || || 81 || 943.689 || Hemisecordite || || 82 || 955.34 || Marvel and Benediction || || 83 || 966.99 || Marvel and Benediction, Hemisecordite || || 84 || 978.641 || Marvel and Benediction || || 85 || 990.291 || Hemisecordite || || 86 || 1001.942 || Marvel and Benediction, Hemisecordite || || 87 || 1013.592 || Marvel and Benediction || || 88 || 1025.243 || Hemisecordite || || 89 || 1036.893 || Marvel and Benediction || || 90 || 1048.544 || Marvel and Benediction, Hemisecordite || || 91 || 1060.194 || Hemisecordite || || 92 || 1071.845 || Marvel and Benediction || || 93 || 1083.495 || Marvel and Benediction, Hemisecordite || || 94 || 1095.146 || Marvel and Benediction || || 95 || 1106.796 || Hemisecordite || || 96 || 1118.447 || Marvel and Benediction, Hemisecordite || || 97 || 1130.097 || Marvel and Benediction || || 98 || 1141.748 || Hemisecordite || || 99 || 1153.398 || Marvel and Benediction || || 100 || 1165.0485 || Marvel and Benediction, Hemisecordite || || 101 || 1176.609 || Hemisecordite || || 102 || 1188.3495 || Marvel and Benediction ||
Original HTML content:
<html><head><title>103edo</title></head><body><strong>103edo</strong> is the <a class="wiki_link" href="/equal%20division%20of%20the%20octave">equal division of the octave</a> into 103 steps of size 11.6505 <a class="wiki_link" href="/cent">cent</a>s each. It is a good <a class="wiki_link" href="/Gamelismic%20clan">miracle</a> tuning, especially for the <a class="wiki_link" href="/7-limit">7-</a> and <a class="wiki_link" href="/13-limi">13-</a> limits and <a class="wiki_link" href="/Gamelismic%20clan">benediction</a> and <a class="wiki_link" href="/Gamelismic%20clan">hemisecordite</a>, two of the <a class="wiki_link" href="/13-limit">13-limit</a> extensions of miracle. It <a class="wiki_link" href="/tempering%20out">tempers out</a> 78732/78125 in the <a class="wiki_link" href="/5-limit">5-limit</a>; 225/224, 1029/1024 and 2401/2400 in the 7-limit; 243/242, 441/440 and 540/539 in the <a class="wiki_link" href="/11-limit">11-limit</a>; 351/350 and 847/845 in the 13-limit. In the 13-limit it provides the optimal patent val for <a class="wiki_link" href="/Marvel%20family#Marvel">marvel temperament</a> as well as <a class="wiki_link" href="/Gamelismic%20clan#Miracle">benediction</a> and <a class="wiki_link" href="/Gamelismic%20clan#Hemisecordite">hemisecordite</a>.<br />
<br />
103edo is the 27th <a class="wiki_link" href="/prime%20numbers">prime</a> edo.<br />
<!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--13-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:0 -->13-limit temperaments</h3>
<table class="wiki_table">
<tr>
<td>Degree<br />
</td>
<td>cents<br />
</td>
<td>temperament<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>11.650<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>23.301<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>34.951<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>46.602<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>58.252<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>69.903<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>81.553<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>93.204<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>104.854<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>116.505<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>128.155<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>139.806<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>151.456<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>163.107<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>174.757<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>186.408<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>198.058<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>209.708<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>221.359<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>233.010<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>244.660<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>256.311<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>267.961<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>279.712<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>291.262<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>303.013<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>314.563<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>326.214<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>337.864<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>349.615<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>361.165<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>372.816<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>384.466<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>396.117<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>407.767<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>419.4175<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>431.068<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>442.708<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>454.369<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>466.019<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>477.670<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>489.320<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>500.971<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>512.621<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>524.272<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>535.922<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>547.573<br />
</td>
<td>Marevel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>559.223<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>570.874<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>582.524<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>605.825<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>617.476<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>629.126<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>640.777<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>56<br />
</td>
<td>652.427<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>57<br />
</td>
<td>664.078<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>58<br />
</td>
<td>675.728<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>59<br />
</td>
<td>687.379<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>60<br />
</td>
<td>699.029<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>61<br />
</td>
<td>710.677<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>62<br />
</td>
<td>722.330<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>63<br />
</td>
<td>733.981<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>64<br />
</td>
<td>745.631<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>65<br />
</td>
<td>757.282<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>66<br />
</td>
<td>768.932<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>67<br />
</td>
<td>780.583<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>68<br />
</td>
<td>792.233<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>69<br />
</td>
<td>803.883<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>70<br />
</td>
<td>815.534<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>71<br />
</td>
<td>827.185<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>72<br />
</td>
<td>838.835<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>73<br />
</td>
<td>850.385<br />
</td>
<td>Marvel and Benediction. Hemisecordite<br />
</td>
</tr>
<tr>
<td>74<br />
</td>
<td>862.156<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>75<br />
</td>
<td>873.786<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>76<br />
</td>
<td>885.537<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>77<br />
</td>
<td>896.987<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>78<br />
</td>
<td>908.638<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>79<br />
</td>
<td>920.388<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>80<br />
</td>
<td>932.039<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>81<br />
</td>
<td>943.689<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>82<br />
</td>
<td>955.34<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>83<br />
</td>
<td>966.99<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>84<br />
</td>
<td>978.641<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>85<br />
</td>
<td>990.291<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>86<br />
</td>
<td>1001.942<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>87<br />
</td>
<td>1013.592<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>88<br />
</td>
<td>1025.243<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>89<br />
</td>
<td>1036.893<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>90<br />
</td>
<td>1048.544<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>91<br />
</td>
<td>1060.194<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>92<br />
</td>
<td>1071.845<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>93<br />
</td>
<td>1083.495<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>94<br />
</td>
<td>1095.146<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>95<br />
</td>
<td>1106.796<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>96<br />
</td>
<td>1118.447<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>97<br />
</td>
<td>1130.097<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>98<br />
</td>
<td>1141.748<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>99<br />
</td>
<td>1153.398<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
<tr>
<td>100<br />
</td>
<td>1165.0485<br />
</td>
<td>Marvel and Benediction, Hemisecordite<br />
</td>
</tr>
<tr>
<td>101<br />
</td>
<td>1176.609<br />
</td>
<td>Hemisecordite<br />
</td>
</tr>
<tr>
<td>102<br />
</td>
<td>1188.3495<br />
</td>
<td>Marvel and Benediction<br />
</td>
</tr>
</table>
</body></html>