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Wikispaces>JosephRuhf **Imported revision 586818343 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 601607792 - 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>2016-07 | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-07 08:48:32 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>601607792</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> | ||
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|| 3 || 63.1579 || | || 3 || 63.1579 || | ||
|| 4 || 84.2105 || | || 4 || 84.2105 || | ||
|| 5 || 105.2632 || | || 5 || 105.2632/1 || | ||
|| 6 || 126.3158 || | || 6 || 126.3158/1 || | ||
|| 7 || 147.3684 || | || 7 || 147.3684/1 || | ||
|| 8 || 168.4211 || | || 8 || 168.4211/1 || | ||
|| 9 || 189.4737 || | || 9 || 189.4737/1 || | ||
|| 10 || 210.5263 || | || 10 || 210.5263/1 || | ||
|| 11 || 231.5789 || | || 11 || 231.5789/1 || | ||
|| 12 || 252.6316 || | || 12 || 252.6316/1 || | ||
|| 13 || 273.6842 || | || 13 || 273.6842/1 || | ||
|| 14 || 294.7368 || | || 14 || 294.7368/1 || | ||
|| 15 || 315.7895 || | || 15 || 315.7895/1 || | ||
|| 16 || 336.8421 || | || 16 || 336.8421/1 || | ||
|| 17 || 357.8947 || | || 17 || 357.8947/1 || | ||
|| 18 || 378.9474 || | || 18 || 378.9474/1 || | ||
|| 19 || 400 || | || 19 || 400 || | ||
|| 20 || 421.0526 || | || 20 || 421.0526/1 || | ||
|| 21 || 442.1053 || | || 21 || 442.1053/1 || | ||
|| 22 || 463.1579 || | || 22 || 463.1579/1 || | ||
|| 23 || 484.2105 || | || 23 || 484.2105/1 || | ||
|| 24 || 505.2632 || | || 24 || 505.2632/1 || | ||
|| 25 || 526.3158 || | || 25 || 526.3158/1 || | ||
|| 26 || 547.3684 || | || 26 || 547.3684/1 || | ||
|| 27 || 568.4211 || | || 27 || 568.4211/1 || | ||
|| 28 || 589.4737 || | || 28 || 589.4737/1 || | ||
|| 29 || 610.5263 || | || 29 || 610.5263/1 || | ||
|| 30 || 631.5789 || | || 30 || 631.5789/1 || | ||
|| 31 || 652.6316 || | || 31 || 652.6316/1 || | ||
|| 32 || 673.6842 || | || 32 || 673.6842/1 || | ||
|| 33 || 694.7368 || | || 33 || 694.7368/1 || | ||
|| 34 || 715.7895 || | || 34 || 715.7895/1 || | ||
|| 35 || 736.8421 || | || 35 || 736.8421/1 || | ||
|| 36 || 757.8947 || | || 36 || 757.8947/1 || | ||
|| 37 || 778.9474 || | || 37 || 778.9474/1 || | ||
|| 38 || 800 || | || 38 || 800 || | ||
|| 39 || 821.0526 || | || 39 || 821.0526/1 || | ||
|| 40 || 842.1053 || | || 40 || 842.1053/1 || | ||
|| 41 || 863.1579 || | || 41 || 863.1579/1 || | ||
|| 42 || 884.2105 || | || 42 || 884.2105/1 || | ||
|| 43 || 905.2632 || | || 43 || 905.2632/1 || | ||
|| 44 || 926.3158 || | || 44 || 926.3158/1 || | ||
|| 45 || 947.3684 || | || 45 || 947.3684/1 || | ||
|| 46 || 968.4211 || | || 46 || 968.4211/1 || | ||
|| 47 || 989.4737 || | || 47 || 989.4737/1 || | ||
|| 48 || 1010.5263 || | || 48 || 1010.5263 || | ||
|| 49 || 1031.5789 || | || 49 || 1031.5789 || | ||
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<td>294.7368<br /> | <td>294.7368/1<br /> | ||
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<td>15<br /> | <td>15<br /> | ||
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<td>16<br /> | <td>16<br /> | ||
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<td>17<br /> | <td>17<br /> | ||
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<td>357.8947<br /> | <td>357.8947/1<br /> | ||
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<td>18<br /> | <td>18<br /> | ||
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<td>378.9474<br /> | <td>378.9474/1<br /> | ||
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<td>21<br /> | <td>21<br /> | ||
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<td>442.1053<br /> | <td>442.1053/1<br /> | ||
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<td>463.1579<br /> | <td>463.1579/1<br /> | ||
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<td>484.2105<br /> | <td>484.2105/1<br /> | ||
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<td>24<br /> | <td>24<br /> | ||
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<td>505.2632<br /> | <td>505.2632/1<br /> | ||
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<td>25<br /> | <td>25<br /> | ||
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<td>526.3158<br /> | <td>526.3158/1<br /> | ||
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<td>547.3684<br /> | <td>547.3684/1<br /> | ||
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<td>27<br /> | <td>27<br /> | ||
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<td>568.4211<br /> | <td>568.4211/1<br /> | ||
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<td>28<br /> | <td>28<br /> | ||
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<td>589.4737<br /> | <td>589.4737/1<br /> | ||
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<td>610.5263<br /> | <td>610.5263/1<br /> | ||
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<td>631.5789<br /> | <td>631.5789/1<br /> | ||
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<td>652.6316<br /> | <td>652.6316/1<br /> | ||
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<td>32<br /> | <td>32<br /> | ||
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<td>673.6842<br /> | <td>673.6842/1<br /> | ||
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<td>33<br /> | <td>33<br /> | ||
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<td>694.7368<br /> | <td>694.7368/1<br /> | ||
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<td>757.8947<br /> | <td>757.8947/1<br /> | ||
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<td>905.2632<br /> | <td>905.2632/1<br /> | ||
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Revision as of 08:48, 7 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-12-07 08:48:32 UTC.
- The original revision id was 601607792.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=<span style="color: #006118; font-family: 'Times New Roman',Times,serif; font-size: 113%;">57 tone equal temperament</span>= //57edo// divides the [[octave]] into 57 parts of size 21.053. It can be used to tune [[mothra temperament]], and is an excellent tuning for the 2.5/3.7.11.13.17.19 [[just intonation subgroup]]. One way to describe 57 is that it has a [[5-limit]] part consisting of three versions of 19, plus a no-threes no-fives part which is much more accurate. A good generator to exploit the 2.5/3.7.11.13.17.19 aspect of 57 is the approximate 11/8, which is 26\57. This gives the [[19-limit]] 46&57 temperament [[Sensipent family|Heinz]]. [[5-limit]] [[comma]]s: 81/80, 3125/3072 [[7-limit]] commas: 81/80, 3125/3072, 1029/1024 [[11-limit]] commas: 99/98, 385/384, 441/440, 625/616 ==Intervals== || [[Degree]]s of 57-EDO || [[Cent]]s value || || 0 || 0 || || 1 || 21.0526 || || 2 || 42.1053 || || 3 || 63.1579 || || 4 || 84.2105 || || 5 || 105.2632/1 || || 6 || 126.3158/1 || || 7 || 147.3684/1 || || 8 || 168.4211/1 || || 9 || 189.4737/1 || || 10 || 210.5263/1 || || 11 || 231.5789/1 || || 12 || 252.6316/1 || || 13 || 273.6842/1 || || 14 || 294.7368/1 || || 15 || 315.7895/1 || || 16 || 336.8421/1 || || 17 || 357.8947/1 || || 18 || 378.9474/1 || || 19 || 400 || || 20 || 421.0526/1 || || 21 || 442.1053/1 || || 22 || 463.1579/1 || || 23 || 484.2105/1 || || 24 || 505.2632/1 || || 25 || 526.3158/1 || || 26 || 547.3684/1 || || 27 || 568.4211/1 || || 28 || 589.4737/1 || || 29 || 610.5263/1 || || 30 || 631.5789/1 || || 31 || 652.6316/1 || || 32 || 673.6842/1 || || 33 || 694.7368/1 || || 34 || 715.7895/1 || || 35 || 736.8421/1 || || 36 || 757.8947/1 || || 37 || 778.9474/1 || || 38 || 800 || || 39 || 821.0526/1 || || 40 || 842.1053/1 || || 41 || 863.1579/1 || || 42 || 884.2105/1 || || 43 || 905.2632/1 || || 44 || 926.3158/1 || || 45 || 947.3684/1 || || 46 || 968.4211/1 || || 47 || 989.4737/1 || || 48 || 1010.5263 || || 49 || 1031.5789 || || 50 || 1052.6316 || || 51 || 1073.6842 || || 52 || 1094.7368 || || 53 || 1115.7895 || || 54 || 1136.8421 || || 55 || 1157.8947 || || 56 || 1178.9474 || __**Modes of** **57edo**__ 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 - 3MOS of type 18L 21s (augene)
Original HTML content:
<html><head><title>57edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x57 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #006118; font-family: 'Times New Roman',Times,serif; font-size: 113%;">57 tone equal temperament</span></h1> <br /> <em>57edo</em> divides the <a class="wiki_link" href="/octave">octave</a> into 57 parts of size 21.053. It can be used to tune <a class="wiki_link" href="/mothra%20temperament">mothra temperament</a>, and is an excellent tuning for the 2.5/3.7.11.13.17.19 <a class="wiki_link" href="/just%20intonation%20subgroup">just intonation subgroup</a>. One way to describe 57 is that it has a <a class="wiki_link" href="/5-limit">5-limit</a> part consisting of three versions of 19, plus a no-threes no-fives part which is much more accurate. A good generator to exploit the 2.5/3.7.11.13.17.19 aspect of 57 is the approximate 11/8, which is 26\57. This gives the <a class="wiki_link" href="/19-limit">19-limit</a> 46&57 temperament <a class="wiki_link" href="/Sensipent%20family">Heinz</a>.<br /> <br /> <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/comma">comma</a>s: 81/80, 3125/3072<br /> <br /> <a class="wiki_link" href="/7-limit">7-limit</a> commas: 81/80, 3125/3072, 1029/1024<br /> <br /> <a class="wiki_link" href="/11-limit">11-limit</a> commas: 99/98, 385/384, 441/440, 625/616<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x57 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2> <table class="wiki_table"> <tr> <td><a class="wiki_link" href="/Degree">Degree</a>s of 57-EDO<br /> </td> <td><a class="wiki_link" href="/Cent">Cent</a>s value<br /> </td> </tr> <tr> <td>0<br /> </td> <td>0<br /> </td> </tr> <tr> <td>1<br /> </td> <td>21.0526<br /> </td> </tr> <tr> <td>2<br /> </td> <td>42.1053<br /> </td> </tr> <tr> <td>3<br /> </td> <td>63.1579<br /> </td> </tr> <tr> <td>4<br /> </td> <td>84.2105<br /> </td> </tr> <tr> <td>5<br /> </td> <td>105.2632/1<br /> </td> </tr> <tr> <td>6<br /> </td> <td>126.3158/1<br /> </td> </tr> <tr> <td>7<br /> </td> <td>147.3684/1<br /> </td> </tr> <tr> <td>8<br /> </td> <td>168.4211/1<br /> </td> </tr> <tr> <td>9<br /> </td> <td>189.4737/1<br /> </td> </tr> <tr> <td>10<br /> </td> <td>210.5263/1<br /> </td> </tr> <tr> <td>11<br /> </td> <td>231.5789/1<br /> </td> </tr> <tr> <td>12<br /> </td> <td>252.6316/1<br /> </td> </tr> <tr> <td>13<br /> </td> <td>273.6842/1<br /> </td> </tr> <tr> <td>14<br /> </td> <td>294.7368/1<br /> </td> </tr> <tr> <td>15<br /> </td> <td>315.7895/1<br /> </td> </tr> <tr> <td>16<br /> </td> <td>336.8421/1<br /> </td> </tr> <tr> <td>17<br /> </td> <td>357.8947/1<br /> </td> </tr> <tr> <td>18<br /> </td> <td>378.9474/1<br /> </td> </tr> <tr> <td>19<br /> </td> <td>400<br /> </td> </tr> <tr> <td>20<br /> </td> <td>421.0526/1<br /> </td> </tr> <tr> <td>21<br /> </td> <td>442.1053/1<br /> </td> </tr> <tr> <td>22<br /> </td> <td>463.1579/1<br /> </td> </tr> <tr> <td>23<br /> </td> <td>484.2105/1<br /> </td> </tr> <tr> <td>24<br /> </td> <td>505.2632/1<br /> </td> </tr> <tr> <td>25<br /> </td> <td>526.3158/1<br /> </td> </tr> <tr> <td>26<br /> </td> <td>547.3684/1<br /> </td> </tr> <tr> <td>27<br /> </td> <td>568.4211/1<br /> </td> </tr> <tr> <td>28<br /> </td> <td>589.4737/1<br /> </td> </tr> <tr> <td>29<br /> </td> <td>610.5263/1<br /> </td> </tr> <tr> <td>30<br /> </td> <td>631.5789/1<br /> </td> </tr> <tr> <td>31<br /> </td> <td>652.6316/1<br /> </td> </tr> <tr> <td>32<br /> </td> <td>673.6842/1<br /> </td> </tr> <tr> <td>33<br /> </td> <td>694.7368/1<br /> </td> </tr> <tr> <td>34<br /> </td> <td>715.7895/1<br /> </td> </tr> <tr> <td>35<br /> </td> <td>736.8421/1<br /> </td> </tr> <tr> <td>36<br /> </td> <td>757.8947/1<br /> </td> </tr> <tr> <td>37<br /> </td> <td>778.9474/1<br /> </td> </tr> <tr> <td>38<br /> </td> <td>800<br /> </td> </tr> <tr> <td>39<br /> </td> <td>821.0526/1<br /> </td> </tr> <tr> <td>40<br /> </td> <td>842.1053/1<br /> </td> </tr> <tr> <td>41<br /> </td> <td>863.1579/1<br /> </td> </tr> <tr> <td>42<br /> </td> <td>884.2105/1<br /> </td> </tr> <tr> <td>43<br /> </td> <td>905.2632/1<br /> </td> </tr> <tr> <td>44<br /> </td> <td>926.3158/1<br /> </td> </tr> <tr> <td>45<br /> </td> <td>947.3684/1<br /> </td> </tr> <tr> <td>46<br /> </td> <td>968.4211/1<br /> </td> </tr> <tr> <td>47<br /> </td> <td>989.4737/1<br /> </td> </tr> <tr> <td>48<br /> </td> <td>1010.5263<br /> </td> </tr> <tr> <td>49<br /> </td> <td>1031.5789<br /> </td> </tr> <tr> <td>50<br /> </td> <td>1052.6316<br /> </td> </tr> <tr> <td>51<br /> </td> <td>1073.6842<br /> </td> </tr> <tr> <td>52<br /> </td> <td>1094.7368<br /> </td> </tr> <tr> <td>53<br /> </td> <td>1115.7895<br /> </td> </tr> <tr> <td>54<br /> </td> <td>1136.8421<br /> </td> </tr> <tr> <td>55<br /> </td> <td>1157.8947<br /> </td> </tr> <tr> <td>56<br /> </td> <td>1178.9474<br /> </td> </tr> </table> <br /> <u><strong>Modes of</strong> <strong>57edo</strong></u><br /> 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 1 - 3MOS of type 18L 21s (augene)</body></html>