39edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Osmiorisbendi and made on 2011-03-23 02:00:46 UTC.
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Original Wikitext content:
=<span style="color: #007a22; display: block; font-size: 118%;">39 tone equal temperament</span>= If we take 22\39 as a fifth, can be used in Mavila Temperament, and from that point of view seems to have attracted the attention of the Armodue school, an Italian group interested in 16EDO, Hornbostel Temperament and **allied systems (like a 23 and 25 EDOs [1/3-tones]; 39 and 41 EDOs [1/5-tones]; 55 and 57 EDOs [1/7-tones]; 69 and 73 EDOs [1/9-tones] & 85 and 89 EDOs [1/11-tones]).** However, its 23\39 fifth, five and three-quarters cents sharp, is in much better tune than the Mavila fifth which like all Mavila fifths is very, very flat, in this case, 25 cents flat. Together with its best third which is the familiar 400 cents of 12 equal, we get a system which tempers out the diesis, 128/125, and the amity comma, 1600000/1594323. We have two choices for a map for 7, but the sharp one works better with the 3 and 5, which adds 64/63 and 126/125 to the list. Tempering out both 128/125 and 64/63 makes 39EDO in some ways allied to 12EDO in supporting augene temperament, and is in fact an excellent choice for an augene tuning, but one difference is that 39 has a fine 11, and adding it to consideration we find 39et tempers out 99/98 and 121/120 also. This better choice for 39et is <39 62 91 110 135|. [[image:Teclado_Tricésimononafónico.PNG width="504" height="297"]] **39-EDO Intervals:** || **NOMENCLATURE** || || **|** = Semisharp **t** = Semiflat || || **DEGREE** || **NOTE** || **CENTS** || **[[Nearest just interval|Nearest Just I]]nterval** || **Cents** || **Error** || || 0 || **1** || 0 || **1/1** || 0 || **None** || || 1 || 1| || 30.7692 || 57/56 || 30.6421 || +0.1271 || || 2 || 1# || 61.5385 || 29/28 || 60.7513 || +0.7872 || || 3 || 2b || 92.3077 || 39/37 || 91.1386 || +1.1691 || || 4 || 2t || 123.0769 || 44/41 || 122.2555 || +0.8214 || || 5 || 2 || 153.8462 || 35/32 || 155.1396 || -1.2934 || || 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 || 43/36 || 307.6077 || +0.0846 || || 11 || 3| || 338.4615 || 17/14 || 336.1295 || +2.332 || || **12·** || **3#** || **369.2308** || **26/21** || **369.7468** || **-0.516** || || 13 || 4b || 400 || 34/27 || 399.0904 || +0.9096 || || 14 || 4t || 430.7692 || 41/32 || 429.0624 || +1.7068 || || 15 || 4 || 461.5385 || 30/23 || 459.9944 || +1.5441 || || 16 || 4| (5t) || 492.3077 || 85/64 || 491.2691 || +1.0386 || || **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 || 128/85 || 708.7309 || -1.0386 || || 24 || 6# || 738.4615 || 23/15 || 740.0056 || -1.5441 || || 25 || 7b || 769.2308 || 64/41 || 770.9376 || -1.7068 || || 26 || 7t || 800 || 27/17 || 800.9096 || -0.9096 || || **27·** || **7** || **830.7692** || **21/13** || **830.2532** || **+0.516** || || 28 || 7| || 861.5385 || 28/17 || 863.8705 || -2.332 || || 29 || 7# (A) || 892.3077 || 72/43 || 892.3923 || -0.0846 || || 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 || 64/35 || 1044.8604 || +1.2934 || || 35 || 9b || 1076.9231 || 41/22 || 1077.7445 || -0.8214 || || 36 || 9t || 1107.6923 || 74/39 || 1108.8614 || -1.1691 || || 37 || 9 || 1138.4615 || 56/29 || 1139.2487 || -0.7872 || || 38 || 9| (1t) || 1169.2308 || 112/57 || 1169.3579 || -0.1271 || || **39··(or 0)** || **1** || **1200** || **2/1** || **1200** || **None** || **39 tone equal [[modes]]:** 15 15 9 - [[MOSScales|MOS]] of type 2L 1s 14 14 11 - [[MOSScales|MOS]] of type 2L 1s 13 13 13 = [[3edo]] 11 11 11 6 - [[MOSScales|MOS]] of type 3L 1s 10 10 10 9 - [[MOSScales|MOS]] of type 3L 1s 11 3 11 11 3 - [[MOSScales|MOS]] of type 3L 2s 9 6 9 9 6 - [[MOSScales|MOS]] of type 3L 2s 9 9 9 9 3 - [[MOSScales|MOS]] of type [[4L 1s|4L 1s (bug)]] 8 8 8 8 7 - [[MOSScales|MOS]] of type [[4L 1s|4L 1s (bug)]] 10 3 10 3 10 3 - [[MOSScales|MOS]] of type 3L 3s 8 5 8 5 8 5 -[[MOSScales|MOS]] of type 3L 3s 7 7 7 7 7 4 - [[MOSScales|MOS]] of type [[5L 1s|5L 1s (Grumpy hexatonic)]] 3 9 3 9 3 9 3 - [[MOSScales|MOS]] of type 3L 4s 5 5 7 5 5 5 7 - [[MOSScales|MOS]] of type [[2L 5s|2L 5s (mavila)]] 5 5 5 7 5 5 7 - [[MOSScales|MOS]] of type [[2L 5s|2L 5s (mavila)]] 5 7 5 5 7 5 5 - [[MOSScales|MOS]] of type [[2L 5s|2L 5s (mavila)]] 6 3 6 6 3 6 6 3 - [[MOSScales|MOS]] of type 5L 3s 5 5 5 5 5 5 5 4 - [[MOSScales|MOS]] of type [[7L 1s|7L 1s (Grumpy octatonic)]] 5 4 5 5 5 5 5 5 - [[MOSScales|MOS]] of type [[7L 1s|7L 1s (Grumpy octatonic)]] **5 5 5 2 5 5 5 5 2** - [[MOSScales|MOS]] of type [[7L 2s|7L 2s (unfair mavila)]] 5 5 2 5 5 5 2 5 5 - [[MOSScales|MOS]] of type [[7L 2s|7L 2s (unfair mavila)]] 5 5 3 5 5 3 5 5 3 - [[MOSScales|MOS]] of type [[6L 3s|6L 3s (unfair augmented)]] 5 4 4 5 4 4 5 4 4 - [[MOSScales|MOS]] of type [[3L 6s|3L 6s (fair augmented)]] 4 4 4 4 4 4 4 4 4 3 - [[MOSScales|MOS]] of type [[9L 1s|9L 1s (Grumpy decatonic)]] 4 4 3 4 4 4 4 4 4 4 - [[MOSScales|MOS]] of type [[9L 1s|9L 1s (Grumpy decatonic)]] 3 3 5 3 3 3 5 3 3 3 5 - [[MOSScales|MOS]] of type 3L 8s 3 3 3 3 3 3 3 3 3 3 3 3 3 = [[13edo|**13edo**]] **3 3 3 2 3 3 3 3 2 3 3 3 3 2** - [[MOSScales|MOS]] of type [[11L 3s]] 2 2 3 2 2 3 2 2 3 2 2 3 2 2 3 2 2 - [[MOSScales|MOS]] of type [[5L 12s]] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 - [[MOSScales|MOS]] of type [[19L 1s]] 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1 - [[MOSScales|MOS]] of type [[17L 5s]] 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 - [[MOSScales|MOS]] of type [[13L 13s]] 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 - [[MOSScales|MOS]] of type [[10L 19s]]
Original HTML content:
<html><head><title>39edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x39 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #007a22; display: block; font-size: 118%;">39 tone equal temperament</span></h1>
<br />
If we take 22\39 as a fifth, can be used in Mavila Temperament, and from that point of view seems to have attracted the attention of the Armodue school, an Italian group interested in 16EDO, Hornbostel Temperament and <strong>allied systems (like a 23 and 25 EDOs [1/3-tones]; 39 and 41 EDOs [1/5-tones]; 55 and 57 EDOs [1/7-tones]; 69 and 73 EDOs [1/9-tones] & 85 and 89 EDOs [1/11-tones]).</strong> However, its 23\39 fifth, five and three-quarters cents sharp, is in much better tune than the Mavila fifth which like all Mavila fifths is very, very flat, in this case, 25 cents flat. Together with its best third which is the familiar 400 cents of 12 equal, we get a system which tempers out the diesis, 128/125, and the amity comma, 1600000/1594323. We have two choices for a map for 7, but the sharp one works better with the 3 and 5, which adds 64/63 and 126/125 to the list. Tempering out both 128/125 and 64/63 makes 39EDO in some ways allied to 12EDO in supporting augene temperament, and is in fact an excellent choice for an augene tuning, but one difference is that 39 has a fine 11, and adding it to consideration we find 39et tempers out 99/98 and 121/120 also. This better choice for 39et is <39 62 91 110 135|.<br />
<br />
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<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><a class="wiki_link" href="/Nearest%20just%20interval">Nearest Just I</a>nterval</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>57/56<br />
</td>
<td>30.6421<br />
</td>
<td>+0.1271<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>1#<br />
</td>
<td>61.5385<br />
</td>
<td>29/28<br />
</td>
<td>60.7513<br />
</td>
<td>+0.7872<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>2b<br />
</td>
<td>92.3077<br />
</td>
<td>39/37<br />
</td>
<td>91.1386<br />
</td>
<td>+1.1691<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>2t<br />
</td>
<td>123.0769<br />
</td>
<td>44/41<br />
</td>
<td>122.2555<br />
</td>
<td>+0.8214<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>2<br />
</td>
<td>153.8462<br />
</td>
<td>35/32<br />
</td>
<td>155.1396<br />
</td>
<td>-1.2934<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>43/36<br />
</td>
<td>307.6077<br />
</td>
<td>+0.0846<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>3|<br />
</td>
<td>338.4615<br />
</td>
<td>17/14<br />
</td>
<td>336.1295<br />
</td>
<td>+2.332<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>41/32<br />
</td>
<td>429.0624<br />
</td>
<td>+1.7068<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>4<br />
</td>
<td>461.5385<br />
</td>
<td>30/23<br />
</td>
<td>459.9944<br />
</td>
<td>+1.5441<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>4| (5t)<br />
</td>
<td>492.3077<br />
</td>
<td>85/64<br />
</td>
<td>491.2691<br />
</td>
<td>+1.0386<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>128/85<br />
</td>
<td>708.7309<br />
</td>
<td>-1.0386<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>6#<br />
</td>
<td>738.4615<br />
</td>
<td>23/15<br />
</td>
<td>740.0056<br />
</td>
<td>-1.5441<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>7b<br />
</td>
<td>769.2308<br />
</td>
<td>64/41<br />
</td>
<td>770.9376<br />
</td>
<td>-1.7068<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</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>28/17<br />
</td>
<td>863.8705<br />
</td>
<td>-2.332<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>7# (A)<br />
</td>
<td>892.3077<br />
</td>
<td>72/43<br />
</td>
<td>892.3923<br />
</td>
<td>-0.0846<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>64/35<br />
</td>
<td>1044.8604<br />
</td>
<td>+1.2934<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>9b<br />
</td>
<td>1076.9231<br />
</td>
<td>41/22<br />
</td>
<td>1077.7445<br />
</td>
<td>-0.8214<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>9t<br />
</td>
<td>1107.6923<br />
</td>
<td>74/39<br />
</td>
<td>1108.8614<br />
</td>
<td>-1.1691<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>9<br />
</td>
<td>1138.4615<br />
</td>
<td>56/29<br />
</td>
<td>1139.2487<br />
</td>
<td>-0.7872<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>9| (1t)<br />
</td>
<td>1169.2308<br />
</td>
<td>112/57<br />
</td>
<td>1169.3579<br />
</td>
<td>-0.1271<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 <a class="wiki_link" href="/modes">modes</a>:</strong><br />
<br />
15 15 9 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 2L 1s<br />
14 14 11 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 2L 1s<br />
13 13 13 = <a class="wiki_link" href="/3edo">3edo</a><br />
11 11 11 6 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 3L 1s<br />
10 10 10 9 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 3L 1s<br />
11 3 11 11 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 3L 2s<br />
9 6 9 9 6 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 3L 2s<br />
9 9 9 9 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/4L%201s">4L 1s (bug)</a><br />
8 8 8 8 7 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/4L%201s">4L 1s (bug)</a><br />
10 3 10 3 10 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 3L 3s<br />
8 5 8 5 8 5 -<a class="wiki_link" href="/MOSScales">MOS</a> of type 3L 3s<br />
7 7 7 7 7 4 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/5L%201s">5L 1s (Grumpy hexatonic)</a><br />
3 9 3 9 3 9 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 3L 4s<br />
5 5 7 5 5 5 7 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/2L%205s">2L 5s (mavila)</a><br />
5 5 5 7 5 5 7 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/2L%205s">2L 5s (mavila)</a><br />
5 7 5 5 7 5 5 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/2L%205s">2L 5s (mavila)</a><br />
6 3 6 6 3 6 6 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 5L 3s<br />
5 5 5 5 5 5 5 4 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/7L%201s">7L 1s (Grumpy octatonic)</a><br />
5 4 5 5 5 5 5 5 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/7L%201s">7L 1s (Grumpy octatonic)</a><br />
<strong>5 5 5 2 5 5 5 5 2</strong> - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/7L%202s">7L 2s (unfair mavila)</a><br />
5 5 2 5 5 5 2 5 5 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/7L%202s">7L 2s (unfair mavila)</a><br />
5 5 3 5 5 3 5 5 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/6L%203s">6L 3s (unfair augmented)</a><br />
5 4 4 5 4 4 5 4 4 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/3L%206s">3L 6s (fair augmented)</a><br />
4 4 4 4 4 4 4 4 4 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/9L%201s">9L 1s (Grumpy decatonic)</a><br />
4 4 3 4 4 4 4 4 4 4 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/9L%201s">9L 1s (Grumpy decatonic)</a><br />
3 3 5 3 3 3 5 3 3 3 5 - <a class="wiki_link" href="/MOSScales">MOS</a> of type 3L 8s<br />
3 3 3 3 3 3 3 3 3 3 3 3 3 = <a class="wiki_link" href="/13edo">**13edo**</a><br />
<strong>3 3 3 2 3 3 3 3 2 3 3 3 3 2</strong> - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/11L%203s">11L 3s</a><br />
2 2 3 2 2 3 2 2 3 2 2 3 2 2 3 2 2 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/5L%2012s">5L 12s</a><br />
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/19L%201s">19L 1s</a><br />
2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/17L%205s">17L 5s</a><br />
2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/13L%2013s">13L 13s</a><br />
2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 - <a class="wiki_link" href="/MOSScales">MOS</a> of type <a class="wiki_link" href="/10L%2019s">10L 19s</a></body></html>