39edo: Difference between revisions
Wikispaces>Osmiorisbendi **Imported revision 333399508 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 339941698 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05- | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05-27 20:55:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>339941698</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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==__**39-EDO Intervals**__== | ==__**39-EDO Intervals**__== | ||
|| **NOMENCLATURE** || | || **ARMODUE NOMENCLATURE 5;2 RELATION** || | ||
|| * ** | || * **‡** = Semisharp (1/5-tone up) | ||
* **b** = Flat (3/5-tone down) | * **b** = Flat (3/5-tone down) | ||
* **#** = Sharp (3/5-tone up) | * **#** = Sharp (3/5-tone up) | ||
| Line 20: | Line 20: | ||
|| **Degrees** || **Armodue note** || **Cents size** || **[[xenharmonic/Nearest just interval|Nearest Just I]]nterval** || **Cents value** || **Error** || | || **Degrees** || **Armodue note** || **Cents size** || **[[xenharmonic/Nearest just interval|Nearest Just I]]nterval** || **Cents value** || **Error** || | ||
|| 0 || **1** || 0 || **1/1** || 0 || **None** || | || 0 || **1** || 0 || **1/1** || 0 || **None** || | ||
|| 1 || | || 1 || 1‡ (9#) || 30.7692 || 57/56 || 30.6421 || +0.1271 || | ||
|| 2 || 2b || 61.5385 || 29/28 || 60.7513 || +0.7872 || | || 2 || 2b || 61.5385 || 29/28 || 60.7513 || +0.7872 || | ||
|| 3 || 1# || 92.3077 || 39/37 || 91.1386 || +1.1691 || | || 3 || 1# || 92.3077 || 39/37 || 91.1386 || +1.1691 || | ||
|| 4 || 2v || 123.0769 || 44/41 || 122.2555 || +0.8214 || | || 4 || 2v || 123.0769 || 44/41 || 122.2555 || +0.8214 || | ||
|| 5 || 2 || 153.8462 || 35/32 || 155.1396 || -1.2934 || | || 5 || 2 || 153.8462 || 35/32 || 155.1396 || -1.2934 || | ||
|| 6 || | || 6 || 2‡ || 184.6154 || 10/9 || 182.4037 || +2.2117 || | ||
|| ** | || 7**·** || 3b || 215.3846 || 17/15 || 216.6867 || -1.3021 || | ||
|| 8 || 2# || 246.1538 || 15/13 || 247.7411 || -1.5873 || | || 8 || 2# || 246.1538 || 15/13 || 247.7411 || -1.5873 || | ||
|| 9 || 3v || 276.9231 || 27/23 || 277.5907 || -0.6676 || | || 9 || 3v || 276.9231 || 27/23 || 277.5907 || -0.6676 || | ||
|| 10 || 3 || 307.6923 || 43/36 || 307.6077 || +0.0846 || | || 10 || 3 || 307.6923 || 43/36 || 307.6077 || +0.0846 || | ||
|| 11 || | || 11 || 3‡ || 338.4615 || 17/14 || 336.1295 || +2.332 || | ||
|| ** | || 12**·** || 4b || 369.2308 || 26/21 || 369.7468 || -0.516 || | ||
|| 13 || 3# || 400 || 34/27 || 399.0904 || +0.9096 || | || 13 || 3# || 400 || 34/27 || 399.0904 || +0.9096 || | ||
|| 14 || 4v || 430.7692 || 41/32 || 429.0624 || +1.7068 || | || 14 || 4v (5b) || 430.7692 || 41/32 || 429.0624 || +1.7068 || | ||
|| 15 || 4 || 461.5385 || 30/23 || 459.9944 || +1.5441 || | || 15 || 4 || 461.5385 || 30/23 || 459.9944 || +1.5441 || | ||
|| 16 || | || 16 || 4‡ (5v) || 492.3077 || 85/64 || 491.2691 || +1.0386 || | ||
|| ** | || 17**·** || 5 || 523.0769 || 23/17 || 523.3189 || -0.242 || | ||
|| 18 || | || 18 || 5‡ (4#) || 553.8462 || 11/8 || 551.3179 || +2.5283 || | ||
|| 19 || 6b || 584.6154 || 7/5 || 582.5122 || +2.1032 || | || 19 || 6b || 584.6154 || 7/5 || 582.5122 || +2.1032 || | ||
|| 20 || 5# || 615.3846 || 10/7 || 617.4878 || -2.1032 || | || 20 || 5# || 615.3846 || 10/7 || 617.4878 || -2.1032 || | ||
|| 21 || 6v || 646.1538 || 16/11 || 648.6821 || -2.5283 || | || 21 || 6v || 646.1538 || 16/11 || 648.6821 || -2.5283 || | ||
|| ** | || 22**·** || 6 || 676.9231 || 34/23 || 676.6811 || +0.242 || | ||
|| 23 || | || 23 || 6‡ || 707.6923 || 128/85 || 708.7309 || -1.0386 || | ||
|| 24 || 7b || 738.4615 || 23/15 || 740.0056 || -1.5441 || | || 24 || 7b || 738.4615 || 23/15 || 740.0056 || -1.5441 || | ||
|| 25 || 6# || 769.2308 || 64/41 || 770.9376 || -1.7068 || | || 25 || 6# || 769.2308 || 64/41 || 770.9376 || -1.7068 || | ||
|| 26 || 7v || 800 || 27/17 || 800.9096 || -0.9096 || | || 26 || 7v || 800 || 27/17 || 800.9096 || -0.9096 || | ||
|| ** | || 27**·** || 7 || 830.7692 || 21/13 || 830.2532 || +0.516 || | ||
|| 28 || | || 28 || 7‡ || 861.5385 || 28/17 || 863.8705 || -2.332 || | ||
|| 29 || 8b || 892.3077 || 72/43 || 892.3923 || -0.0846 || | || 29 || 8b || 892.3077 || 72/43 || 892.3923 || -0.0846 || | ||
|| 30 || 7# || 923.0769 || 46/27 || 922.4093 || +0.6676 || | || 30 || 7# || 923.0769 || 46/27 || 922.4093 || +0.6676 || | ||
|| 31 || 8v || 953.8462 || 26/15 || 952.2589 || +1.5873 || | || 31 || 8v || 953.8462 || 26/15 || 952.2589 || +1.5873 || | ||
|| ** | || 32**·** || 8 || 984.6154 || 30/17 || 983.3133 || +1.3021 || | ||
|| 33 || | || 33 || 8‡ || 1015.3846 || 9/5 || 1017.5963 || -2.2117 || | ||
|| 34 || 9b || 1046.1538 || 64/35 || 1044.8604 || +1.2934 || | || 34 || 9b || 1046.1538 || 64/35 || 1044.8604 || +1.2934 || | ||
|| 35 || 8# || 1076.9231 || 41/22 || 1077.7445 || -0.8214 || | || 35 || 8# || 1076.9231 || 41/22 || 1077.7445 || -0.8214 || | ||
|| 36 || 9v || 1107.6923 || 74/39 || 1108.8614 || -1.1691 || | || 36 || 9v (1b) || 1107.6923 || 74/39 || 1108.8614 || -1.1691 || | ||
|| 37 || 9 || 1138.4615 || 56/29 || 1139.2487 || -0.7872 || | || 37 || 9 || 1138.4615 || 56/29 || 1139.2487 || -0.7872 || | ||
|| 38 || | || 38 || 9‡ (1v) || 1169.2308 || 112/57 || 1169.3579 || -0.1271 || | ||
|| ** | || 39**··**(or 0) || 1 || 1200 || 2/1 || 1200 || None || | ||
==__Instruments (prototypes):__== | ==__Instruments (prototypes):__== | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td><strong>NOMENCLATURE</strong><br /> | <td><strong>ARMODUE NOMENCLATURE 5;2 RELATION</strong><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><ul><li><strong> | <td><ul><li><strong>‡</strong> = Semisharp (1/5-tone up)</li><li><strong>b</strong> = Flat (3/5-tone down)</li><li><strong>#</strong> = Sharp (3/5-tone up)</li><li><strong>v</strong> = Semiflat (1/5-tone down)</li></ul></td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
| Line 167: | Line 167: | ||
<td>1<br /> | <td>1<br /> | ||
</td> | </td> | ||
<td> | <td>1‡ (9#)<br /> | ||
</td> | </td> | ||
<td>30.7692<br /> | <td>30.7692<br /> | ||
| Line 237: | Line 237: | ||
<td>6<br /> | <td>6<br /> | ||
</td> | </td> | ||
<td> | <td>2‡<br /> | ||
</td> | </td> | ||
<td>184.6154<br /> | <td>184.6154<br /> | ||
| Line 249: | Line 249: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong> | <td>7<strong>·</strong><br /> | ||
</td> | </td> | ||
<td | <td>3b<br /> | ||
</td> | </td> | ||
<td | <td>215.3846<br /> | ||
</td> | </td> | ||
<td | <td>17/15<br /> | ||
</td> | </td> | ||
<td | <td>216.6867<br /> | ||
</td> | </td> | ||
<td | <td>-1.3021<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 307: | Line 307: | ||
<td>11<br /> | <td>11<br /> | ||
</td> | </td> | ||
<td> | <td>3‡<br /> | ||
</td> | </td> | ||
<td>338.4615<br /> | <td>338.4615<br /> | ||
| Line 319: | Line 319: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong> | <td>12<strong>·</strong><br /> | ||
</td> | </td> | ||
<td | <td>4b<br /> | ||
</td> | </td> | ||
<td | <td>369.2308<br /> | ||
</td> | </td> | ||
<td | <td>26/21<br /> | ||
</td> | </td> | ||
<td | <td>369.7468<br /> | ||
</td> | </td> | ||
<td | <td>-0.516<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 349: | Line 349: | ||
<td>14<br /> | <td>14<br /> | ||
</td> | </td> | ||
<td>4v<br /> | <td>4v (5b)<br /> | ||
</td> | </td> | ||
<td>430.7692<br /> | <td>430.7692<br /> | ||
| Line 377: | Line 377: | ||
<td>16<br /> | <td>16<br /> | ||
</td> | </td> | ||
<td> | <td>4‡ (5v)<br /> | ||
</td> | </td> | ||
<td>492.3077<br /> | <td>492.3077<br /> | ||
| Line 389: | Line 389: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong> | <td>17<strong>·</strong><br /> | ||
</td> | </td> | ||
<td | <td>5<br /> | ||
</td> | </td> | ||
<td | <td>523.0769<br /> | ||
</td> | </td> | ||
<td | <td>23/17<br /> | ||
</td> | </td> | ||
<td | <td>523.3189<br /> | ||
</td> | </td> | ||
<td | <td>-0.242<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 405: | Line 405: | ||
<td>18<br /> | <td>18<br /> | ||
</td> | </td> | ||
<td> | <td>5‡ (4#)<br /> | ||
</td> | </td> | ||
<td>553.8462<br /> | <td>553.8462<br /> | ||
| Line 459: | Line 459: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong> | <td>22<strong>·</strong><br /> | ||
</td> | </td> | ||
<td | <td>6<br /> | ||
</td> | </td> | ||
<td | <td>676.9231<br /> | ||
</td> | </td> | ||
<td | <td>34/23<br /> | ||
</td> | </td> | ||
<td | <td>676.6811<br /> | ||
</td> | </td> | ||
<td | <td>+0.242<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 475: | Line 475: | ||
<td>23<br /> | <td>23<br /> | ||
</td> | </td> | ||
<td> | <td>6‡<br /> | ||
</td> | </td> | ||
<td>707.6923<br /> | <td>707.6923<br /> | ||
| Line 529: | Line 529: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong> | <td>27<strong>·</strong><br /> | ||
</td> | </td> | ||
<td | <td>7<br /> | ||
</td> | </td> | ||
<td | <td>830.7692<br /> | ||
</td> | </td> | ||
<td | <td>21/13<br /> | ||
</td> | </td> | ||
<td | <td>830.2532<br /> | ||
</td> | </td> | ||
<td | <td>+0.516<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 545: | Line 545: | ||
<td>28<br /> | <td>28<br /> | ||
</td> | </td> | ||
<td> | <td>7‡<br /> | ||
</td> | </td> | ||
<td>861.5385<br /> | <td>861.5385<br /> | ||
| Line 599: | Line 599: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong> | <td>32<strong>·</strong><br /> | ||
</td> | </td> | ||
<td | <td>8<br /> | ||
</td> | </td> | ||
<td | <td>984.6154<br /> | ||
</td> | </td> | ||
<td | <td>30/17<br /> | ||
</td> | </td> | ||
<td | <td>983.3133<br /> | ||
</td> | </td> | ||
<td | <td>+1.3021<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 615: | Line 615: | ||
<td>33<br /> | <td>33<br /> | ||
</td> | </td> | ||
<td> | <td>8‡<br /> | ||
</td> | </td> | ||
<td>1015.3846<br /> | <td>1015.3846<br /> | ||
| Line 657: | Line 657: | ||
<td>36<br /> | <td>36<br /> | ||
</td> | </td> | ||
<td>9v<br /> | <td>9v (1b)<br /> | ||
</td> | </td> | ||
<td>1107.6923<br /> | <td>1107.6923<br /> | ||
| Line 685: | Line 685: | ||
<td>38<br /> | <td>38<br /> | ||
</td> | </td> | ||
<td> | <td>9‡ (1v)<br /> | ||
</td> | </td> | ||
<td>1169.2308<br /> | <td>1169.2308<br /> | ||
| Line 697: | Line 697: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong> | <td>39<strong>··</strong>(or 0)<br /> | ||
</td> | </td> | ||
<td | <td>1<br /> | ||
</td> | </td> | ||
<td | <td>1200<br /> | ||
</td> | </td> | ||
<td | <td>2/1<br /> | ||
</td> | </td> | ||
<td | <td>1200<br /> | ||
</td> | </td> | ||
<td | <td>None<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||