List of octave-reduced harmonics: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 79309271 - Original comment: added factorization, note names, & some notes (more to come later)** |
Wikispaces>Andrew_Heathwaite **Imported revision 79340329 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-06-24 | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-06-24 21:53:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>79340329</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
| Line 14: | Line 14: | ||
|| 67 || 79.307 || prime || || close to 1 degree of [[15edo]] || | || 67 || 79.307 || prime || || close to 1 degree of [[15edo]] || | ||
|| 135 || 92.179 || 3 x 3 x 3 x 5 || || 5-limit || | || 135 || 92.179 || 3 x 3 x 3 x 5 || || 5-limit || | ||
|| 17 || 104.955 || prime || overtone half-step || | || 17 || 104.955 || prime || overtone half-step || close to 1 degree of [[11edo]] / 2 degrees of [[23edo]] || | ||
|| 69 || 130.229 || 3 x 23 || || close to 1 degree of [[9edo]] || | || 69 || 130.229 || 3 x 23 || || close to 1 degree of [[9edo]] || | ||
|| 35 || 155.140 || 5 x 7 || || 7-limit / close to 3 degrees of [[24edo]] || | || 35 || 155.140 || 5 x 7 || || 7-limit / close to 3 degrees of [[24edo]] || | ||
| Line 45: | Line 45: | ||
|| 97 || 719.895 || prime || || close to 3 degrees of [[5edo]] || | || 97 || 719.895 || prime || || close to 3 degrees of [[5edo]] || | ||
|| 49 || 737.652 || 7 x 7 || || 7-limit / close to 8 degrees of [[13edo]] || | || 49 || 737.652 || 7 x 7 || || 7-limit / close to 8 degrees of [[13edo]] || | ||
|| 99 || 755.228 || 3 x 3 x 11 || || 11-limit || | || 99 || 755.228 || 3 x 3 x 11 || || 11-limit / close to 5 degrees of [[8edo]] / 12 degrees of [[19edo]] || | ||
|| 25 || 772.627 || 5 x 5 || augmented fifth || 5-limit || | || 25 || 772.627 || 5 x 5 || augmented fifth || 5-limit / close to 9 degrees of [[14edo]] / 11 degrees of [[17edo]] || | ||
|| 101 || 789.854 || prime || || || | || 101 || 789.854 || prime || || || | ||
|| 51 || 806.910 || 3 x 17 || || || | || 51 || 806.910 || 3 x 17 || || || | ||
|| 103 || 823.801 || prime || || | || 103 || 823.801 || prime || || close to 11 degrees of [[16edo]] / 13 degrees of [[19edo]] || | ||
|| 13 || 840.528 || prime || overtone sixth || 13-limit || | || 13 || 840.528 || prime || overtone sixth || 13-limit / close to 7 degrees of [[10edo]] || | ||
|| 105 || 857.095 || 3 x 5 x 7 || || 7-limit || | || 105 || 857.095 || 3 x 5 x 7 || || 7-limit / close to 5 degrees of [[7edo]] || | ||
|| 53 || 873.505 || prime || || | || 53 || 873.505 || prime || || close to 8 degrees of [[11edo]] || | ||
|| 27 || 905.865 || 3 x 3 x 3 || Pythagorean major sixth || 3-limit || | || 27 || 905.865 || 3 x 3 x 3 || Pythagorean major sixth || 3-limit || | ||
|| 109 || 921.821 || prime || || | || 109 || 921.821 || prime || || close to 10 degrees of [[13edo]] || | ||
|| 55 || 937.632 || 5 x 11 || || 11-limit || | || 55 || 937.632 || 5 x 11 || || 11-limit / close to 18 degrees of [[23edo]] || | ||
|| 111 || 953.299 || 3 x 37 || || | || 111 || 953.299 || 3 x 37 || || close to 19 degrees of [[24edo]] || | ||
|| 7 || 968.826 || prime || harmonic seventh / septimal minor seventh || 7-limit || | || 7 || 968.826 || prime || harmonic seventh / septimal minor seventh || 7-limit / close to 17 degrees of [[21edo]] / 25 degrees of [[31edo]] || | ||
|| 113 || 984.215 || prime || || | || 113 || 984.215 || prime || || close to 9 degrees of [[11edo]] || | ||
|| 57 || 999.468 || 3 x 19 || || | || 57 || 999.468 || 3 x 19 || || close to 10 degrees of [[12edo]] (a.k.a. 5 degrees of [[6edo]] || | ||
|| 115 || 1014.588 || 5 x 23 || || | || 115 || 1014.588 || 5 x 23 || || close to 11 degrees of [[13edo]] || | ||
|| 29 || 1029.577 || prime || || | || 29 || 1029.577 || prime || || close to 6 degrees of [[7edo]] || | ||
|| 117 || 1044.438 || 3 x 3 x13 || || 13-limit || | || 117 || 1044.438 || 3 x 3 x13 || || 13-limit / close to 13 degrees of [[15edo]] / 20 degrees of [[23edo]] || | ||
|| 59 || 1059.172 || prime || || | || 59 || 1059.172 || prime || || close to 15 degrees of [[17edo]] || | ||
|| 119 || 1073.781 || 7 x 17 || || | || 119 || 1073.781 || 7 x 17 || || close to 17 degrees of [[19edo]] || | ||
|| 15 || 1088.269 || 3 x 5 || 5-limit major seventh || 5-limit || | || 15 || 1088.269 || 3 x 5 || 5-limit major seventh || 5-limit / close to 19 degrees of [[21edo]] / 10 degrees of [[11edo]] || | ||
|| 121 || 1102.636 || 11 x 11 || || 11-limit || | || 121 || 1102.636 || 11 x 11 || || 11-limit / close to 11 degrees of [[12edo]] || | ||
|| 243 || 1109.775 || 3 x 3 x 3 x 3 x 3 || Pythagorean major seventh || | || 243 || 1109.775 || 3 x 3 x 3 x 3 x 3 || Pythagorean major seventh || close to 12 degrees of [[13edo]] || | ||
|| 61 || 1116.885 || prime || || | || 61 || 1116.885 || prime || || close to 13 degrees of [[14edo]] || | ||
|| 123 || 1131.017 || 3 x 41 || || | || 123 || 1131.017 || 3 x 41 || || close to 17 degrees of [[18edo]] || | ||
|| 31 || 1145.036 || prime || || | || 31 || 1145.036 || prime || || close to 21 degrees of [[22edo]] || | ||
|| 125 || 1158.941 || 5 x 5 x 5 || || 5-limit || | || 125 || 1158.941 || 5 x 5 x 5 || || 5-limit || | ||
|| 63 || 1172.736 || 3 x 3 x 7 || || 7-limit || | || 63 || 1172.736 || 3 x 3 x 7 || || 7-limit || | ||
| Line 162: | Line 162: | ||
<td>overtone half-step<br /> | <td>overtone half-step<br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 1 degree of <a class="wiki_link" href="/11edo">11edo</a> / 2 degrees of <a class="wiki_link" href="/23edo">23edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 534: | Line 534: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>11-limit<br /> | <td>11-limit / close to 5 degrees of <a class="wiki_link" href="/8edo">8edo</a> / 12 degrees of <a class="wiki_link" href="/19edo">19edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 546: | Line 546: | ||
<td>augmented fifth<br /> | <td>augmented fifth<br /> | ||
</td> | </td> | ||
<td>5-limit<br /> | <td>5-limit / close to 9 degrees of <a class="wiki_link" href="/14edo">14edo</a> / 11 degrees of <a class="wiki_link" href="/17edo">17edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 582: | Line 582: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 11 degrees of <a class="wiki_link" href="/16edo">16edo</a> / 13 degrees of <a class="wiki_link" href="/19edo">19edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 594: | Line 594: | ||
<td>overtone sixth<br /> | <td>overtone sixth<br /> | ||
</td> | </td> | ||
<td>13-limit<br /> | <td>13-limit / close to 7 degrees of <a class="wiki_link" href="/10edo">10edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 606: | Line 606: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>7-limit<br /> | <td>7-limit / close to 5 degrees of <a class="wiki_link" href="/7edo">7edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 618: | Line 618: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 8 degrees of <a class="wiki_link" href="/11edo">11edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 642: | Line 642: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 10 degrees of <a class="wiki_link" href="/13edo">13edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 654: | Line 654: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>11-limit<br /> | <td>11-limit / close to 18 degrees of <a class="wiki_link" href="/23edo">23edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 666: | Line 666: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 19 degrees of <a class="wiki_link" href="/24edo">24edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 678: | Line 678: | ||
<td>harmonic seventh / septimal minor seventh<br /> | <td>harmonic seventh / septimal minor seventh<br /> | ||
</td> | </td> | ||
<td>7-limit<br /> | <td>7-limit / close to 17 degrees of <a class="wiki_link" href="/21edo">21edo</a> / 25 degrees of <a class="wiki_link" href="/31edo">31edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 690: | Line 690: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 9 degrees of <a class="wiki_link" href="/11edo">11edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 702: | Line 702: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 10 degrees of <a class="wiki_link" href="/12edo">12edo</a> (a.k.a. 5 degrees of <a class="wiki_link" href="/6edo">6edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 714: | Line 714: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 11 degrees of <a class="wiki_link" href="/13edo">13edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 726: | Line 726: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 6 degrees of <a class="wiki_link" href="/7edo">7edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 738: | Line 738: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>13-limit<br /> | <td>13-limit / close to 13 degrees of <a class="wiki_link" href="/15edo">15edo</a> / 20 degrees of <a class="wiki_link" href="/23edo">23edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 750: | Line 750: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 15 degrees of <a class="wiki_link" href="/17edo">17edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 762: | Line 762: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 17 degrees of <a class="wiki_link" href="/19edo">19edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 774: | Line 774: | ||
<td>5-limit major seventh<br /> | <td>5-limit major seventh<br /> | ||
</td> | </td> | ||
<td>5-limit<br /> | <td>5-limit / close to 19 degrees of <a class="wiki_link" href="/21edo">21edo</a> / 10 degrees of <a class="wiki_link" href="/11edo">11edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 786: | Line 786: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>11-limit<br /> | <td>11-limit / close to 11 degrees of <a class="wiki_link" href="/12edo">12edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 798: | Line 798: | ||
<td>Pythagorean major seventh<br /> | <td>Pythagorean major seventh<br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 12 degrees of <a class="wiki_link" href="/13edo">13edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 810: | Line 810: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 13 degrees of <a class="wiki_link" href="/14edo">14edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 822: | Line 822: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 17 degrees of <a class="wiki_link" href="/18edo">18edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 834: | Line 834: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td>close to 21 degrees of <a class="wiki_link" href="/22edo">22edo</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||