46edo: Difference between revisions
Wikispaces>phylingual **Imported revision 328526484 - Original comment: ** |
Wikispaces>phylingual **Imported revision 350343656 - Original comment: ** |
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| Line 1: | Line 1: | ||
<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:phylingual|phylingual]] and made on <tt>2012- | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-04 22:12:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>350343656</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 294: | Line 294: | ||
|| 23 || 1\46 || 26.087 || || || || | || 23 || 1\46 || 26.087 || || || || | ||
=Intervals= | =Intervals= | ||
|| degrees of 46edo || cents value || approximate ratios in the [[xenharmonic/17-limit|17-limit]] || | || degrees of 46edo || solfege || cents value || approximate ratios in the [[xenharmonic/17-limit|17-limit]] || | ||
|| 0 || 0.00 || 1/1 || | || 0 || do || 0.00 || 1/1 || | ||
|| 1 || 26.087 || || | || 1 || di || 26.087 || || | ||
|| 2 || 52.174 || || | || 2 || ro || 52.174 || || | ||
|| 3 || 78.261 || || | || 3 || rih || 78.261 || || | ||
|| 4 || 104.348 || 16/15, 17/16, 18/17 || | || 4 || ra || 104.348 || 16/15, 17/16, 18/17 || | ||
|| 5 || 130.435 || 13/12, 14/13, 15/14 || | || 5 || ru (as in supraminor) || 130.435 || 13/12, 14/13, 15/14 || | ||
|| 6 || 156.522 || 12/11, 11/10 || | || 6 || ruh (as in submajor) || 156.522 || 12/11, 11/10 || | ||
|| 7 || 182.609 || 10/9 || | || 7 || reh || 182.609 || 10/9 || | ||
|| 8 || 208.696 || 9/8, 17/15 || | || 8 || re || 208.696 || 9/8, 17/15 || | ||
|| 9 || 234.783 || 8/7, 15/13* || | || 9 || ri || 234.783 || 8/7, 15/13* || | ||
|| 10 || 260.87 || 7/6, 15/13* || | || 10 || ma || 260.87 || 7/6, 15/13* || | ||
|| 11 || 286.957 || 13/11, 20/17 || | || 11 || meh || 286.957 || 13/11, 20/17 || | ||
|| 12 || 313.043 || 6/5 || | || 12 || me || 313.043 || 6/5 || | ||
|| 13 || 339.13 || 11/9, 17/14 || | || 13 || mu || 339.13 || 11/9, 17/14 || | ||
|| 14 || 365.217 || 16/13 || | || 14 || muh || 365.217 || 16/13 || | ||
|| 15 || 391.304 || 5/4 || | || 15 || mi || 391.304 || 5/4 || | ||
|| 16 || 417.391 || 14/11 || | || 16 || maa || 417.391 || 14/11 || | ||
|| 17 || 443.478 || 9/7, 13/10, 22/17 || | || 17 || mo || 443.478 || 9/7, 13/10, 22/17 || | ||
|| 18 || 469.565 || 17/13 || | || 18 || fe || 469.565 || 17/13 || | ||
|| 19 || 495.652 || 4/3 || | || 19 || fa || 495.652 || 4/3 || | ||
|| 20 || 521.739 || || | || 20 || fih || 521.739 || || | ||
|| 21 || 547.826 || 11/8, 15/11 || | || 21 || fu || 547.826 || 11/8, 15/11 || | ||
|| 22 || 573.913 || 7/5, 18/13 || | || 22 || fi || 573.913 || 7/5, 18/13 || | ||
|| 23 || 600 || 17/12, 24/17 || | || 23 || seh || 600 || 17/12, 24/17 || | ||
|| 24 || 626.087 || 10/7, 13/9 || | || 24 || se || 626.087 || 10/7, 13/9 || | ||
|| 25 || 652.174 || 16/11, 22/15 || | || 25 || su || 652.174 || 16/11, 22/15 || | ||
|| 26 || 678.261 || || | || 26 || sih || 678.261 || || | ||
|| 27 || 704.348 || 3/2 || | || 27 || sol || 704.348 || 3/2 || | ||
|| 28 || 730.435 || 26/17 || | || 28 || si || 730.435 || 26/17 || | ||
|| 29 || 756.522 || 14/9, 20/13, 17/11 || | || 29 || lo || 756.522 || 14/9, 20/13, 17/11 || | ||
|| 30 || 782.609 || 11/7 || | || 30 || leh || 782.609 || 11/7 || | ||
|| 31 || 808.696 || 8/5 || | || 31 || le || 808.696 || 8/5 || | ||
|| 32 || 834.783 || 13/8 || | || 32 || lu || 834.783 || 13/8 || | ||
|| 33 || 860.87 || 18/11, 28/17 || | || 33 || luh || 860.87 || 18/11, 28/17 || | ||
|| 34 || 886.957 || 5/3 || | || 34 || la || 886.957 || 5/3 || | ||
|| 35 || 913.043 || 22/13, 17/10 || | || 35 || laa || 913.043 || 22/13, 17/10 || | ||
|| 36 || 939.13 || 12/7, 26/15* || | || 36 || li || 939.13 || 12/7, 26/15* || | ||
|| 37 || 965.217 || 7/4, 26/15* || | || 37 || ta || 965.217 || 7/4, 26/15* || | ||
|| 38 || 991.304 || 16/9, 30/17 || | || 38 || teh || 991.304 || 16/9, 30/17 || | ||
|| 39 || 1017.391 || 9/5 || | || 39 || te || 1017.391 || 9/5 || | ||
|| 40 || 1043.478 || 11/6, 20/11 || | || 40 || tu || 1043.478 || 11/6, 20/11 || | ||
|| 41 || 1069.565 || 24/13, 13/7, 28/15 || | || 41 || tuh || 1069.565 || 24/13, 13/7, 28/15 || | ||
|| 42 || 1095.652 || 15/8, 32/17, 17/9 || | || 42 || ti || 1095.652 || 15/8, 32/17, 17/9 || | ||
|| 43 || 1121.739 || || | || 43 || taa || 1121.739 || || | ||
|| 44 || 1147.826 || || | || 44 || to || 1147.826 || || | ||
|| 45 || 1173.913 || || | || 45 || da || 1173.913 || || | ||
*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[xenharmonic/consistent|consistent]] in the [[xenharmonic/15-limit|15-limit]]. | *15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[xenharmonic/consistent|consistent]] in the [[xenharmonic/15-limit|15-limit]]. | ||
| Line 977: | Line 977: | ||
<tr> | <tr> | ||
<td>degrees of 46edo<br /> | <td>degrees of 46edo<br /> | ||
</td> | |||
<td>solfege<br /> | |||
</td> | </td> | ||
<td>cents value<br /> | <td>cents value<br /> | ||
| Line 985: | Line 987: | ||
<tr> | <tr> | ||
<td>0<br /> | <td>0<br /> | ||
</td> | |||
<td>do<br /> | |||
</td> | </td> | ||
<td>0.00<br /> | <td>0.00<br /> | ||
| Line 993: | Line 997: | ||
<tr> | <tr> | ||
<td>1<br /> | <td>1<br /> | ||
</td> | |||
<td>di<br /> | |||
</td> | </td> | ||
<td>26.087<br /> | <td>26.087<br /> | ||
| Line 1,001: | Line 1,007: | ||
<tr> | <tr> | ||
<td>2<br /> | <td>2<br /> | ||
</td> | |||
<td>ro<br /> | |||
</td> | </td> | ||
<td>52.174<br /> | <td>52.174<br /> | ||
| Line 1,009: | Line 1,017: | ||
<tr> | <tr> | ||
<td>3<br /> | <td>3<br /> | ||
</td> | |||
<td>rih<br /> | |||
</td> | </td> | ||
<td>78.261<br /> | <td>78.261<br /> | ||
| Line 1,017: | Line 1,027: | ||
<tr> | <tr> | ||
<td>4<br /> | <td>4<br /> | ||
</td> | |||
<td>ra<br /> | |||
</td> | </td> | ||
<td>104.348<br /> | <td>104.348<br /> | ||
| Line 1,025: | Line 1,037: | ||
<tr> | <tr> | ||
<td>5<br /> | <td>5<br /> | ||
</td> | |||
<td>ru (as in supraminor)<br /> | |||
</td> | </td> | ||
<td>130.435<br /> | <td>130.435<br /> | ||
| Line 1,033: | Line 1,047: | ||
<tr> | <tr> | ||
<td>6<br /> | <td>6<br /> | ||
</td> | |||
<td>ruh (as in submajor)<br /> | |||
</td> | </td> | ||
<td>156.522<br /> | <td>156.522<br /> | ||
| Line 1,041: | Line 1,057: | ||
<tr> | <tr> | ||
<td>7<br /> | <td>7<br /> | ||
</td> | |||
<td>reh<br /> | |||
</td> | </td> | ||
<td>182.609<br /> | <td>182.609<br /> | ||
| Line 1,049: | Line 1,067: | ||
<tr> | <tr> | ||
<td>8<br /> | <td>8<br /> | ||
</td> | |||
<td>re<br /> | |||
</td> | </td> | ||
<td>208.696<br /> | <td>208.696<br /> | ||
| Line 1,057: | Line 1,077: | ||
<tr> | <tr> | ||
<td>9<br /> | <td>9<br /> | ||
</td> | |||
<td>ri<br /> | |||
</td> | </td> | ||
<td>234.783<br /> | <td>234.783<br /> | ||
| Line 1,065: | Line 1,087: | ||
<tr> | <tr> | ||
<td>10<br /> | <td>10<br /> | ||
</td> | |||
<td>ma<br /> | |||
</td> | </td> | ||
<td>260.87<br /> | <td>260.87<br /> | ||
| Line 1,073: | Line 1,097: | ||
<tr> | <tr> | ||
<td>11<br /> | <td>11<br /> | ||
</td> | |||
<td>meh<br /> | |||
</td> | </td> | ||
<td>286.957<br /> | <td>286.957<br /> | ||
| Line 1,081: | Line 1,107: | ||
<tr> | <tr> | ||
<td>12<br /> | <td>12<br /> | ||
</td> | |||
<td>me<br /> | |||
</td> | </td> | ||
<td>313.043<br /> | <td>313.043<br /> | ||
| Line 1,089: | Line 1,117: | ||
<tr> | <tr> | ||
<td>13<br /> | <td>13<br /> | ||
</td> | |||
<td>mu<br /> | |||
</td> | </td> | ||
<td>339.13<br /> | <td>339.13<br /> | ||
| Line 1,097: | Line 1,127: | ||
<tr> | <tr> | ||
<td>14<br /> | <td>14<br /> | ||
</td> | |||
<td>muh<br /> | |||
</td> | </td> | ||
<td>365.217<br /> | <td>365.217<br /> | ||
| Line 1,105: | Line 1,137: | ||
<tr> | <tr> | ||
<td>15<br /> | <td>15<br /> | ||
</td> | |||
<td>mi<br /> | |||
</td> | </td> | ||
<td>391.304<br /> | <td>391.304<br /> | ||
| Line 1,113: | Line 1,147: | ||
<tr> | <tr> | ||
<td>16<br /> | <td>16<br /> | ||
</td> | |||
<td>maa<br /> | |||
</td> | </td> | ||
<td>417.391<br /> | <td>417.391<br /> | ||
| Line 1,121: | Line 1,157: | ||
<tr> | <tr> | ||
<td>17<br /> | <td>17<br /> | ||
</td> | |||
<td>mo<br /> | |||
</td> | </td> | ||
<td>443.478<br /> | <td>443.478<br /> | ||
| Line 1,129: | Line 1,167: | ||
<tr> | <tr> | ||
<td>18<br /> | <td>18<br /> | ||
</td> | |||
<td>fe<br /> | |||
</td> | </td> | ||
<td>469.565<br /> | <td>469.565<br /> | ||
| Line 1,137: | Line 1,177: | ||
<tr> | <tr> | ||
<td>19<br /> | <td>19<br /> | ||
</td> | |||
<td>fa<br /> | |||
</td> | </td> | ||
<td>495.652<br /> | <td>495.652<br /> | ||
| Line 1,145: | Line 1,187: | ||
<tr> | <tr> | ||
<td>20<br /> | <td>20<br /> | ||
</td> | |||
<td>fih<br /> | |||
</td> | </td> | ||
<td>521.739<br /> | <td>521.739<br /> | ||
| Line 1,153: | Line 1,197: | ||
<tr> | <tr> | ||
<td>21<br /> | <td>21<br /> | ||
</td> | |||
<td>fu<br /> | |||
</td> | </td> | ||
<td>547.826<br /> | <td>547.826<br /> | ||
| Line 1,161: | Line 1,207: | ||
<tr> | <tr> | ||
<td>22<br /> | <td>22<br /> | ||
</td> | |||
<td>fi<br /> | |||
</td> | </td> | ||
<td>573.913<br /> | <td>573.913<br /> | ||
| Line 1,169: | Line 1,217: | ||
<tr> | <tr> | ||
<td>23<br /> | <td>23<br /> | ||
</td> | |||
<td>seh<br /> | |||
</td> | </td> | ||
<td>600<br /> | <td>600<br /> | ||
| Line 1,177: | Line 1,227: | ||
<tr> | <tr> | ||
<td>24<br /> | <td>24<br /> | ||
</td> | |||
<td>se<br /> | |||
</td> | </td> | ||
<td>626.087<br /> | <td>626.087<br /> | ||
| Line 1,185: | Line 1,237: | ||
<tr> | <tr> | ||
<td>25<br /> | <td>25<br /> | ||
</td> | |||
<td>su<br /> | |||
</td> | </td> | ||
<td>652.174<br /> | <td>652.174<br /> | ||
| Line 1,193: | Line 1,247: | ||
<tr> | <tr> | ||
<td>26<br /> | <td>26<br /> | ||
</td> | |||
<td>sih<br /> | |||
</td> | </td> | ||
<td>678.261<br /> | <td>678.261<br /> | ||
| Line 1,201: | Line 1,257: | ||
<tr> | <tr> | ||
<td>27<br /> | <td>27<br /> | ||
</td> | |||
<td>sol<br /> | |||
</td> | </td> | ||
<td>704.348<br /> | <td>704.348<br /> | ||
| Line 1,209: | Line 1,267: | ||
<tr> | <tr> | ||
<td>28<br /> | <td>28<br /> | ||
</td> | |||
<td>si<br /> | |||
</td> | </td> | ||
<td>730.435<br /> | <td>730.435<br /> | ||
| Line 1,217: | Line 1,277: | ||
<tr> | <tr> | ||
<td>29<br /> | <td>29<br /> | ||
</td> | |||
<td>lo<br /> | |||
</td> | </td> | ||
<td>756.522<br /> | <td>756.522<br /> | ||
| Line 1,225: | Line 1,287: | ||
<tr> | <tr> | ||
<td>30<br /> | <td>30<br /> | ||
</td> | |||
<td>leh<br /> | |||
</td> | </td> | ||
<td>782.609<br /> | <td>782.609<br /> | ||
| Line 1,233: | Line 1,297: | ||
<tr> | <tr> | ||
<td>31<br /> | <td>31<br /> | ||
</td> | |||
<td>le<br /> | |||
</td> | </td> | ||
<td>808.696<br /> | <td>808.696<br /> | ||
| Line 1,241: | Line 1,307: | ||
<tr> | <tr> | ||
<td>32<br /> | <td>32<br /> | ||
</td> | |||
<td>lu<br /> | |||
</td> | </td> | ||
<td>834.783<br /> | <td>834.783<br /> | ||
| Line 1,249: | Line 1,317: | ||
<tr> | <tr> | ||
<td>33<br /> | <td>33<br /> | ||
</td> | |||
<td>luh<br /> | |||
</td> | </td> | ||
<td>860.87<br /> | <td>860.87<br /> | ||
| Line 1,257: | Line 1,327: | ||
<tr> | <tr> | ||
<td>34<br /> | <td>34<br /> | ||
</td> | |||
<td>la<br /> | |||
</td> | </td> | ||
<td>886.957<br /> | <td>886.957<br /> | ||
| Line 1,265: | Line 1,337: | ||
<tr> | <tr> | ||
<td>35<br /> | <td>35<br /> | ||
</td> | |||
<td>laa<br /> | |||
</td> | </td> | ||
<td>913.043<br /> | <td>913.043<br /> | ||
| Line 1,273: | Line 1,347: | ||
<tr> | <tr> | ||
<td>36<br /> | <td>36<br /> | ||
</td> | |||
<td>li<br /> | |||
</td> | </td> | ||
<td>939.13<br /> | <td>939.13<br /> | ||
| Line 1,281: | Line 1,357: | ||
<tr> | <tr> | ||
<td>37<br /> | <td>37<br /> | ||
</td> | |||
<td>ta<br /> | |||
</td> | </td> | ||
<td>965.217<br /> | <td>965.217<br /> | ||
| Line 1,289: | Line 1,367: | ||
<tr> | <tr> | ||
<td>38<br /> | <td>38<br /> | ||
</td> | |||
<td>teh<br /> | |||
</td> | </td> | ||
<td>991.304<br /> | <td>991.304<br /> | ||
| Line 1,297: | Line 1,377: | ||
<tr> | <tr> | ||
<td>39<br /> | <td>39<br /> | ||
</td> | |||
<td>te<br /> | |||
</td> | </td> | ||
<td>1017.391<br /> | <td>1017.391<br /> | ||
| Line 1,305: | Line 1,387: | ||
<tr> | <tr> | ||
<td>40<br /> | <td>40<br /> | ||
</td> | |||
<td>tu<br /> | |||
</td> | </td> | ||
<td>1043.478<br /> | <td>1043.478<br /> | ||
| Line 1,313: | Line 1,397: | ||
<tr> | <tr> | ||
<td>41<br /> | <td>41<br /> | ||
</td> | |||
<td>tuh<br /> | |||
</td> | </td> | ||
<td>1069.565<br /> | <td>1069.565<br /> | ||
| Line 1,321: | Line 1,407: | ||
<tr> | <tr> | ||
<td>42<br /> | <td>42<br /> | ||
</td> | |||
<td>ti<br /> | |||
</td> | </td> | ||
<td>1095.652<br /> | <td>1095.652<br /> | ||
| Line 1,329: | Line 1,417: | ||
<tr> | <tr> | ||
<td>43<br /> | <td>43<br /> | ||
</td> | |||
<td>taa<br /> | |||
</td> | </td> | ||
<td>1121.739<br /> | <td>1121.739<br /> | ||
| Line 1,337: | Line 1,427: | ||
<tr> | <tr> | ||
<td>44<br /> | <td>44<br /> | ||
</td> | |||
<td>to<br /> | |||
</td> | </td> | ||
<td>1147.826<br /> | <td>1147.826<br /> | ||
| Line 1,345: | Line 1,437: | ||
<tr> | <tr> | ||
<td>45<br /> | <td>45<br /> | ||
</td> | |||
<td>da<br /> | |||
</td> | </td> | ||
<td>1173.913<br /> | <td>1173.913<br /> | ||