55edo
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=<span style="color: #008523; font-family: 'Times New Roman',Times,serif; font-size: 113%;">55 tone equal temperament</span>= **//55edo//** divides the octave into 55 parts of 21.818 cents. It can be used for a meantone tuning, and is close to [[1-6 Syntonic Comma Meantone|1/6 comma meantone]] (and is almost exactly 10/57 comma meantone.) [[http://en.wikipedia.org/wiki/Georg_Philipp_Telemann|Telemann]] suggested it as a theoretical basis for analyzing the intervals of meantone, in which he was followed by [[http://en.wikipedia.org/wiki/Leopold_Mozart|Leopold]] and [[http://en.wikipedia.org/wiki/Wolfgang_Amadeus_Mozart|Wolfgang Mozart]]. It can also be used for [[Meantone family|mohajira and liese]] temperaments. 5-limit commas: 81/80, <31 1 -14| 7-limit commas: 81/80, 686/675, 6144/6125 11-limit commas: 81/80, 121/120, 176/175, 686/675 ==Intervals== || Degrees of 55-EDO || Cents value || || 0 || 0 || || 1 || 21.818 || || 2 || 43.636 || || 3 || 65.455 || || 4 || 87.273 || || 5 || 109.091 || || 6 || 130.909 || || 7 || 152.727 || || 8 || 174.545 || || 9 || 196.364 || || 10 || 218.182 || || 11 || 240.000 || || 12 || 261.818 || || 13 || 283.636 || || 14 || 305.455 || || 15 || 327.273 || || 16 || 349.091 || || 17 || 370.909 || || 18 || 392.727 || || 19 || 414.545 || || 20 || 436.364 || || 21 || 458.182 || || 22 || 480.000 || || 23 || 501.818 || || 24 || 523.636 || || 25 || 545.455 || || 26 || 567.273 || || 27 || 589.091 || || 28 || 610.909 || || 29 || 632.727 || || 30 || 654.545 || || 31 || 676.364 || || 32 || 698.182 || || 33 || 720.000 || || 34 || 741.818 || || 35 || 763.636 || || 36 || 785.455 || || 37 || 807.273 || || 38 || 829.091 || || 39 || 850.909 || || 40 || 872.727 || || 41 || 894.545 || || 42 || 916.364 || || 43 || 938.182 || || 44 || 960.000 || || 45 || 981.818 || || 46 || 1003.636 || || 47 || 1025.455 || || 48 || 1047.273 || || 49 || 1069.091 || || 50 || 1090.909 || || 51 || 1112.727 || || 52 || 1134.545 || || 53 || 1156.364 || || 54 || 1178.182 || || 55 || 1200.000 || [[http://www.seraph.it/dep/int/AdagioKV540.mp3|Mozart - Adagio in B minor KV 540]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/706c4662272db7703def4d57edfcb955-119.html|blog entry]])
Original HTML content:
<html><head><title>55edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x55 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #008523; font-family: 'Times New Roman',Times,serif; font-size: 113%;">55 tone equal temperament</span></h1>
<br />
<strong><em>55edo</em></strong> divides the octave into 55 parts of 21.818 cents. It can be used for a meantone tuning, and is close to <a class="wiki_link" href="/1-6%20Syntonic%20Comma%20Meantone">1/6 comma meantone</a> (and is almost exactly 10/57 comma meantone.) <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Georg_Philipp_Telemann" rel="nofollow">Telemann</a> suggested it as a theoretical basis for analyzing the intervals of meantone, in which he was followed by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Leopold_Mozart" rel="nofollow">Leopold</a> and <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Wolfgang_Amadeus_Mozart" rel="nofollow">Wolfgang Mozart</a>. It can also be used for <a class="wiki_link" href="/Meantone%20family">mohajira and liese</a> temperaments.<br />
<br />
5-limit commas: 81/80, <31 1 -14|<br />
<br />
7-limit commas: 81/80, 686/675, 6144/6125<br />
<br />
11-limit commas: 81/80, 121/120, 176/175, 686/675<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x55 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2>
<table class="wiki_table">
<tr>
<td>Degrees of 55-EDO<br />
</td>
<td>Cents value<br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>21.818<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>43.636<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>65.455<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>87.273<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>109.091<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>130.909<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>152.727<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>174.545<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>196.364<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>218.182<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>240.000<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>261.818<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>283.636<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>305.455<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>327.273<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>349.091<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>370.909<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>392.727<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>414.545<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>436.364<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>458.182<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>480.000<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>501.818<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>523.636<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>545.455<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>567.273<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>589.091<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>610.909<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>632.727<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>654.545<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>676.364<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>698.182<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>720.000<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>741.818<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>763.636<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>785.455<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>807.273<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>829.091<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>850.909<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>872.727<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>894.545<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>916.364<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>938.182<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>960.000<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>981.818<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>1003.636<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>1025.455<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>1047.273<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>1069.091<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>1090.909<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>1112.727<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>1134.545<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>1156.364<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>1178.182<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>1200.000<br />
</td>
</tr>
</table>
<br />
<a class="wiki_link_ext" href="http://www.seraph.it/dep/int/AdagioKV540.mp3" rel="nofollow">Mozart - Adagio in B minor KV 540</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/706c4662272db7703def4d57edfcb955-119.html" rel="nofollow">blog entry</a>)</body></html>