39edo
IMPORTED REVISION FROM WIKISPACES
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Original Wikitext content:
<span style="color: #6100f5; font-size: 200%;">39 tone equal temperament</span> **39-EDO Intervals:** || **NOMENCLATURE** || || **|** = Semisharp **t** = Semiflat || || **DEGREE** || **NOTE** || **CENTS** || **Nearest JI** || **Cents** || **Error** || || **0** || **1** || **0** || **1/1** || **0** || **None** || || 1 || 1| || 30.7692 || 58/57 || 30.1092 || +0.66 || || 2 || 1# || 61.5385 || 28/27 || 62.9609 || - 1.4224 || || 3 || 2b || 92.3077 || 256/243 || 90.225 || +2.0827 || || 4 || 2t || 123.0769 || 29/27 || 123.7122 || -0.6353 || || 5 || 2 || 153.8462 || 82/75 || 154.48 || -0.6338 || || 6 || 2| || 184.6154 || 10/9 || 182.4037 || +2.2117 || || **7·** || **2#** || **215.3846** || **17/15** || **216.6867** || **-1.3021** || || 8 || 3b || 246.1538 || 15/13 || 247.7411 || -1.5873 || || 9 || 3t || 276.9231 || 27/23 || 277.5907 || -0.6676 || || 10 || 3 || 307.6923 || 49/41 || 308.5894 || -0.8971 || || 11 || 3| || 338.4615 || 45/37 || 338.8797 || -0.4182 || || **12·** || **3#** || **369.2308** || **26/21** || **369.7468** || **-0.516** || || 13 || 4b || 400 || 34/27 || 399.0904 || +0.9096 || || 14 || 4t || 430.7692 || 9/7 || 435.0841 || -4.3149 || || 15 || 4 || 461.5385 || 43/33 || 458.2448 || +3.2937 || || 16 || 4| (5t) || 492.3077 || 93/70 || 491.851 || +0.4567 || || **17·** || **5** || **523.0769** || **23/17** || **523.3189** || **-0.242** || || 18 || 5| || 553.8462 || 11/8 || 551.3179 || +2.5283 || || 19 || 5# || 584.6154 || 7/5 || 582.5122 || +2.1032 || || 20 || 6b || 615.3846 || 10/7 || 617.4878 || -2.1032 || || 21 || 6t || 646.1538 || 16/11 || 648.6821 || -2.5283 || || **22·** || **6** || **676.9231** || **34/23** || **676.6811** || **+0.242** || || 23 || 6| || 707.6923 || 140/93 || 708.149 || -0.4567 || || 24 || 6# || 738.4615 || 66/43 || 741.7552 || -3.2937 || || 25 || 7b || 769.2308 || 14/9 || 764.9159 || +4.3149 || || 26 || 7t || 800 || 27/17 || 800.9096 || -0.9096 || || **27·** || **7 (A)** || **830.7692** || **21/13** || **830.2532** || **+0.516** || || 28 || 7| || 861.5385 || 74/45 || 861.1203 || +0.4182 || || 29 || 7# || 892.3077 || 82/49 || 891.4106 || +0.8971 || || 30 || 8b || 923.0769 || 46/27 || 922.4093 || +0.6676 || || 31 || 8t || 953.8462 || 26/15 || 952.2589 || +1.5873 || || **32·** || **8** || **984.6154** || **30/17** || **983.3133** || **+1.3021** || || 33 || 8| || 1015.3846 || 9/5 || 1017.5963 || -2.2117 || || 34 || 8# || 1046.1538 || 75/41 || 1045.52 || +0.6338 || || 35 || 9b || 1076.9231 || 54/29 || 1076.2878 || +0.6353 || || 36 || 9t || 1107.6923 || 243/128 || 1109.775 || -2.0827 || || 37 || 9 || 1138.4615 || 27/14 || 1137.0391 || +1.4224 || || 38 || 9| (1t) || 1169.2308 || 57/29 || 1169.8908 || -0.66 || || **39··(or 0)** || **1** || **1200** || **2/1** || **1200** || **None** || **39 tone equal modes:** 15 15 9 14 14 11 13 13 13 11 11 11 6 10 10 10 9 9 9 9 9 3 8 8 8 8 7 7 7 7 7 7 4 5 5 7 5 5 5 7 5 5 5 7 5 5 7 5 5 5 7 5 7 5 5 5 5 5 5 5 5 4 5 5 5 2 5 5 5 5 2 5 5 2 5 5 5 5 2 5 5 5 3 5 5 3 5 5 3 5 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 3 3 2 2 2 3 2 2 3 2 2 3 2 2 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1 39-EDO is one of the derivations of Armodue Systems. 39 is the fifthtones of Armodue (16-EDO). 39-EDO is the Extended range of Armodue-Hornbostel (23-EDO) and Extended Pelogic. 39-EDO contains very good representation of the some low-limit harmonics, but all the rest are mid-limit harmonics and some high-limit harmonics. 39-EDO may be cataloged Semi-atonal.
Original HTML content:
<html><head><title>39edo</title></head><body><span style="color: #6100f5; font-size: 200%;">39 tone equal temperament</span><br />
<br />
<strong>39-EDO Intervals:</strong><br />
<table class="wiki_table">
<tr>
<td><strong>NOMENCLATURE</strong><br />
</td>
</tr>
<tr>
<td><strong>|</strong> = Semisharp<br />
<strong>t</strong> = Semiflat<br />
</td>
</tr>
</table>
<br />
<table class="wiki_table">
<tr>
<td><strong>DEGREE</strong><br />
</td>
<td><strong>NOTE</strong><br />
</td>
<td><strong>CENTS</strong><br />
</td>
<td><strong>Nearest JI</strong><br />
</td>
<td><strong>Cents</strong><br />
</td>
<td><strong>Error</strong><br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td><strong>1</strong><br />
</td>
<td>0<br />
</td>
<td><strong>1/1</strong><br />
</td>
<td>0<br />
</td>
<td><strong>None</strong><br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>1|<br />
</td>
<td>30.7692<br />
</td>
<td>58/57<br />
</td>
<td>30.1092<br />
</td>
<td>+0.66<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>1#<br />
</td>
<td>61.5385<br />
</td>
<td>28/27<br />
</td>
<td>62.9609<br />
</td>
<td>- 1.4224<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>2b<br />
</td>
<td>92.3077<br />
</td>
<td>256/243<br />
</td>
<td>90.225<br />
</td>
<td>+2.0827<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>2t<br />
</td>
<td>123.0769<br />
</td>
<td>29/27<br />
</td>
<td>123.7122<br />
</td>
<td>-0.6353<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>2<br />
</td>
<td>153.8462<br />
</td>
<td>82/75<br />
</td>
<td>154.48<br />
</td>
<td>-0.6338<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>2|<br />
</td>
<td>184.6154<br />
</td>
<td>10/9<br />
</td>
<td>182.4037<br />
</td>
<td>+2.2117<br />
</td>
</tr>
<tr>
<td><strong>7·</strong><br />
</td>
<td><strong>2#</strong><br />
</td>
<td><strong>215.3846</strong><br />
</td>
<td><strong>17/15</strong><br />
</td>
<td><strong>216.6867</strong><br />
</td>
<td><strong>-1.3021</strong><br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>3b<br />
</td>
<td>246.1538<br />
</td>
<td>15/13<br />
</td>
<td>247.7411<br />
</td>
<td>-1.5873<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>3t<br />
</td>
<td>276.9231<br />
</td>
<td>27/23<br />
</td>
<td>277.5907<br />
</td>
<td>-0.6676<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>3<br />
</td>
<td>307.6923<br />
</td>
<td>49/41<br />
</td>
<td>308.5894<br />
</td>
<td>-0.8971<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>3|<br />
</td>
<td>338.4615<br />
</td>
<td>45/37<br />
</td>
<td>338.8797<br />
</td>
<td>-0.4182<br />
</td>
</tr>
<tr>
<td><strong>12·</strong><br />
</td>
<td><strong>3#</strong><br />
</td>
<td><strong>369.2308</strong><br />
</td>
<td><strong>26/21</strong><br />
</td>
<td><strong>369.7468</strong><br />
</td>
<td><strong>-0.516</strong><br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>4b<br />
</td>
<td>400<br />
</td>
<td>34/27<br />
</td>
<td>399.0904<br />
</td>
<td>+0.9096<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>4t<br />
</td>
<td>430.7692<br />
</td>
<td>9/7<br />
</td>
<td>435.0841<br />
</td>
<td>-4.3149<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>4<br />
</td>
<td>461.5385<br />
</td>
<td>43/33<br />
</td>
<td>458.2448<br />
</td>
<td>+3.2937<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>4| (5t)<br />
</td>
<td>492.3077<br />
</td>
<td>93/70<br />
</td>
<td>491.851<br />
</td>
<td>+0.4567<br />
</td>
</tr>
<tr>
<td><strong>17·</strong><br />
</td>
<td><strong>5</strong><br />
</td>
<td><strong>523.0769</strong><br />
</td>
<td><strong>23/17</strong><br />
</td>
<td><strong>523.3189</strong><br />
</td>
<td><strong>-0.242</strong><br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>5|<br />
</td>
<td>553.8462<br />
</td>
<td>11/8<br />
</td>
<td>551.3179<br />
</td>
<td>+2.5283<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>5#<br />
</td>
<td>584.6154<br />
</td>
<td>7/5<br />
</td>
<td>582.5122<br />
</td>
<td>+2.1032<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>6b<br />
</td>
<td>615.3846<br />
</td>
<td>10/7<br />
</td>
<td>617.4878<br />
</td>
<td>-2.1032<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>6t<br />
</td>
<td>646.1538<br />
</td>
<td>16/11<br />
</td>
<td>648.6821<br />
</td>
<td>-2.5283<br />
</td>
</tr>
<tr>
<td><strong>22·</strong><br />
</td>
<td><strong>6</strong><br />
</td>
<td><strong>676.9231</strong><br />
</td>
<td><strong>34/23</strong><br />
</td>
<td><strong>676.6811</strong><br />
</td>
<td><strong>+0.242</strong><br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>6|<br />
</td>
<td>707.6923<br />
</td>
<td>140/93<br />
</td>
<td>708.149<br />
</td>
<td>-0.4567<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>6#<br />
</td>
<td>738.4615<br />
</td>
<td>66/43<br />
</td>
<td>741.7552<br />
</td>
<td>-3.2937<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>7b<br />
</td>
<td>769.2308<br />
</td>
<td>14/9<br />
</td>
<td>764.9159<br />
</td>
<td>+4.3149<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>7t<br />
</td>
<td>800<br />
</td>
<td>27/17<br />
</td>
<td>800.9096<br />
</td>
<td>-0.9096<br />
</td>
</tr>
<tr>
<td><strong>27·</strong><br />
</td>
<td><strong>7 (A)</strong><br />
</td>
<td><strong>830.7692</strong><br />
</td>
<td><strong>21/13</strong><br />
</td>
<td><strong>830.2532</strong><br />
</td>
<td><strong>+0.516</strong><br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>7|<br />
</td>
<td>861.5385<br />
</td>
<td>74/45<br />
</td>
<td>861.1203<br />
</td>
<td>+0.4182<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>7#<br />
</td>
<td>892.3077<br />
</td>
<td>82/49<br />
</td>
<td>891.4106<br />
</td>
<td>+0.8971<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>8b<br />
</td>
<td>923.0769<br />
</td>
<td>46/27<br />
</td>
<td>922.4093<br />
</td>
<td>+0.6676<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>8t<br />
</td>
<td>953.8462<br />
</td>
<td>26/15<br />
</td>
<td>952.2589<br />
</td>
<td>+1.5873<br />
</td>
</tr>
<tr>
<td><strong>32·</strong><br />
</td>
<td><strong>8</strong><br />
</td>
<td><strong>984.6154</strong><br />
</td>
<td><strong>30/17</strong><br />
</td>
<td><strong>983.3133</strong><br />
</td>
<td><strong>+1.3021</strong><br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>8|<br />
</td>
<td>1015.3846<br />
</td>
<td>9/5<br />
</td>
<td>1017.5963<br />
</td>
<td>-2.2117<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>8#<br />
</td>
<td>1046.1538<br />
</td>
<td>75/41<br />
</td>
<td>1045.52<br />
</td>
<td>+0.6338<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>9b<br />
</td>
<td>1076.9231<br />
</td>
<td>54/29<br />
</td>
<td>1076.2878<br />
</td>
<td>+0.6353<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>9t<br />
</td>
<td>1107.6923<br />
</td>
<td>243/128<br />
</td>
<td>1109.775<br />
</td>
<td>-2.0827<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>9<br />
</td>
<td>1138.4615<br />
</td>
<td>27/14<br />
</td>
<td>1137.0391<br />
</td>
<td>+1.4224<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>9| (1t)<br />
</td>
<td>1169.2308<br />
</td>
<td>57/29<br />
</td>
<td>1169.8908<br />
</td>
<td>-0.66<br />
</td>
</tr>
<tr>
<td><strong>39··(or 0)</strong><br />
</td>
<td><strong>1</strong><br />
</td>
<td><strong>1200</strong><br />
</td>
<td><strong>2/1</strong><br />
</td>
<td><strong>1200</strong><br />
</td>
<td><strong>None</strong><br />
</td>
</tr>
</table>
<br />
<br />
<strong>39 tone equal modes:</strong><br />
<br />
15 15 9<br />
14 14 11<br />
13 13 13<br />
11 11 11 6<br />
10 10 10 9<br />
9 9 9 9 3<br />
8 8 8 8 7<br />
7 7 7 7 7 4<br />
5 5 7 5 5 5 7<br />
5 5 5 7 5 5 7<br />
5 5 5 7 5 7 5<br />
5 5 5 5 5 5 5 4<br />
5 5 5 2 5 5 5 5 2<br />
5 5 2 5 5 5 5 2 5<br />
5 5 3 5 5 3 5 5 3<br />
5 4 4 5 4 4 5 4 4<br />
4 4 4 4 4 4 4 4 4 3<br />
3 3 3 3 3 3 3 3 3 3 3 3 3<br />
3 3 3 2 3 3 3 3 2 3 3 3 3 2<br />
2 2 3 2 2 3 2 2 3 2 2 3 2 2 3 2 2<br />
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1<br />
2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1<br />
<br />
39-EDO is one of the derivations of Armodue Systems. 39 is the fifthtones of Armodue (16-EDO). 39-EDO is the Extended range of Armodue-Hornbostel (23-EDO) and Extended Pelogic. 39-EDO contains very good representation of the some low-limit harmonics, but all the rest are mid-limit harmonics and some high-limit harmonics. 39-EDO may be cataloged Semi-atonal.</body></html>