75edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2012-05-28 17:34:33 UTC.
- The original revision id was 340230248.
- 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: #000080;">75 tone equal temperament</span>= 75edo divides the octave into 75 equal parts of exactly 16 cents each. In the 5-limit, it tempers out the tetracot comma, 20000/19683 and the semicomma 2109375/2097152, and provides a good tuning for [[Tetracot family|tetracot temperament]]. It provides the optimal patent val for 12&51 temperament in the 7-limit and the 31&75 temperament in the 13-limit. ===Intervals=== || **Step** || **Size in Cents** || || 0 || 0 || || 1 || 16 || || 2 || 32 || || 3 || 48 || || 4 || 64 || || 5 || 80 || || 6 || 96 || || 7 || 112 || || 8 || 128 || || 9 || 144 || || 10 || 160 || || 11 || 176 || || 12 || 192 || || 13 || 208 || || 14 || 224 || || 15 || 240 || || 16 || 256 || || 17 || 272 || || 18 || 288 || || 19 || 304 || || 20 || 320 || || 21 || 336 || || 22 || 352 || || 23 || 368 || || 24 || 384 || || 25 || 400 || || 26 || 416 || || 27 || 432 || || 28 || 448 || || 29 || 464 || || 30 || 480 || || 31 || 496 || || 32 || 512 || || 33 || 528 || || 34 || 544 || || 35 || 560 || || 36 || 576 || || 37 || 592 || || 38 || 608 || || 39 || 624 || || 40 || 640 || || 41 || 656 || || 42 || 672 || || 43 || 688 || || 44 || 704 || || 45 || 720 || || 46 || 736 || || 47 || 752 || || 48 || 768 || || 49 || 784 || || 50 || 800 || || 51 || 816 || || 52 || 832 || || 53 || 848 || || 54 || 864 || || 55 || 880 || || 56 || 896 || || 57 || 912 || || 58 || 928 || || 59 || 944 || || 60 || 960 || || 61 || 976 || || 62 || 992 || || 63 || 1008 || || 64 || 1024 || || 65 || 1040 || || 66 || 1056 || || 67 || 1072 || || 68 || 1088 || || 69 || 1104 || || 70 || 1120 || || 71 || 1136 || || 72 || 1152 || || 73 || 1168 || || 74 || 1184 ||
Original HTML content:
<html><head><title>75edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x75 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #000080;">75 tone equal temperament</span></h1>
<br />
75edo divides the octave into 75 equal parts of exactly 16 cents each. In the 5-limit, it tempers out the tetracot comma, 20000/19683 and the semicomma 2109375/2097152, and provides a good tuning for <a class="wiki_link" href="/Tetracot%20family">tetracot temperament</a>. It provides the optimal patent val for 12&51 temperament in the 7-limit and the 31&75 temperament in the 13-limit.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x75 tone equal temperament--Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h3>
<table class="wiki_table">
<tr>
<td><strong>Step</strong><br />
</td>
<td><strong>Size in Cents</strong><br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>16<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>32<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>48<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>64<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>80<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>96<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>112<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>128<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>144<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>160<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>176<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>192<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>208<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>224<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>240<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>256<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>272<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>288<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>304<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>320<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>336<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>352<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>368<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>384<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>400<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>416<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>432<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>448<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>464<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>480<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>496<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>512<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>528<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>544<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>560<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>576<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>592<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>608<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>624<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>640<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>656<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>672<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>688<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>704<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>720<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>736<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td>752<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td>768<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td>784<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td>800<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td>816<br />
</td>
</tr>
<tr>
<td>52<br />
</td>
<td>832<br />
</td>
</tr>
<tr>
<td>53<br />
</td>
<td>848<br />
</td>
</tr>
<tr>
<td>54<br />
</td>
<td>864<br />
</td>
</tr>
<tr>
<td>55<br />
</td>
<td>880<br />
</td>
</tr>
<tr>
<td>56<br />
</td>
<td>896<br />
</td>
</tr>
<tr>
<td>57<br />
</td>
<td>912<br />
</td>
</tr>
<tr>
<td>58<br />
</td>
<td>928<br />
</td>
</tr>
<tr>
<td>59<br />
</td>
<td>944<br />
</td>
</tr>
<tr>
<td>60<br />
</td>
<td>960<br />
</td>
</tr>
<tr>
<td>61<br />
</td>
<td>976<br />
</td>
</tr>
<tr>
<td>62<br />
</td>
<td>992<br />
</td>
</tr>
<tr>
<td>63<br />
</td>
<td>1008<br />
</td>
</tr>
<tr>
<td>64<br />
</td>
<td>1024<br />
</td>
</tr>
<tr>
<td>65<br />
</td>
<td>1040<br />
</td>
</tr>
<tr>
<td>66<br />
</td>
<td>1056<br />
</td>
</tr>
<tr>
<td>67<br />
</td>
<td>1072<br />
</td>
</tr>
<tr>
<td>68<br />
</td>
<td>1088<br />
</td>
</tr>
<tr>
<td>69<br />
</td>
<td>1104<br />
</td>
</tr>
<tr>
<td>70<br />
</td>
<td>1120<br />
</td>
</tr>
<tr>
<td>71<br />
</td>
<td>1136<br />
</td>
</tr>
<tr>
<td>72<br />
</td>
<td>1152<br />
</td>
</tr>
<tr>
<td>73<br />
</td>
<td>1168<br />
</td>
</tr>
<tr>
<td>74<br />
</td>
<td>1184<br />
</td>
</tr>
</table>
</body></html>