Aberschismic temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-02-05 10:18:25 UTC</tt>.<br>
: The original revision id was <tt>487486574</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>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]]
The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery, quanic and ketchup. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.
The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery, quanic and ketchup. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.


=Buzzard=  
=Buzzard=
Commas: 1728/1715, 5120/5103
Commas: 1728/1715, 5120/5103


[[POTE tuning|POTE generator]]: ~320/243 = 475.636
[[POTE_tuning|POTE generator]]: ~320/243 = 475.636


Map: [&lt;1 0 -6 4|, &lt;0 4 21 -3|]
Map: [&lt;1 0 -6 4|, &lt;0 4 21 -3|]
Wedgie: &lt;&lt;4 21 -3 24 -16 -66||
Wedgie: &lt;&lt;4 21 -3 24 -16 -66||
EDOs: 48, 53, 111, 164d, 275d
EDOs: 48, 53, 111, 164d, 275d
Badness: 0.0480
Badness: 0.0480


==11-limit==  
==11-limit==
Commas: 176/175, 540/539, 5120/5103
Commas: 176/175, 540/539, 5120/5103


[[POTE tuning|POTE generator]]: ~320/243 = 475.700
[[POTE_tuning|POTE generator]]: ~320/243 = 475.700


Map: [&lt;1 0 -6 4 -12|, &lt;0 4 21 -3 39|]
Map: [&lt;1 0 -6 4 -12|, &lt;0 4 21 -3 39|]
EDOs: 53, 58, 111, 280cd, 391cd
EDOs: 53, 58, 111, 280cd, 391cd
Badness: 0.0345
Badness: 0.0345


==13-limit==  
==13-limit==
Commas: 176/175, 351/350, 540/539, 676/675
Commas: 176/175, 351/350, 540/539, 676/675


[[POTE tuning|POTE generator]]: ~320/243 = 475.697
[[POTE_tuning|POTE generator]]: ~320/243 = 475.697


Map: [&lt;1 0 -6 4 -12 -7|, &lt;0 4 21 -3 39 27|]
Map: [&lt;1 0 -6 4 -12 -7|, &lt;0 4 21 -3 39 27|]
EDOs: 53, 58, 111, 280cdf, 391cdf
EDOs: 53, 58, 111, 280cdf, 391cdf
Badness: 0.0188
Badness: 0.0188


==17-limit==  
==17-limit==
Commas: 176/175, 256/255, 351/350, 442/441, 540/539
Commas: 176/175, 256/255, 351/350, 442/441, 540/539


[[POTE tuning|POTE generator]]: ~320/243 = 475.692
[[POTE_tuning|POTE generator]]: ~320/243 = 475.692


Map: [&lt;1 0 -6 4 -12 -7 14|, &lt;0 4 21 -3 39 27 -25|]
Map: [&lt;1 0 -6 4 -12 -7 14|, &lt;0 4 21 -3 39 27 -25|]
EDOs: 53, 58, 111, 321cdfg
EDOs: 53, 58, 111, 321cdfg
Badness: 0.0184
Badness: 0.0184


Line 49: Line 51:
Commas: 176/175, 256/255, 286/285, 324/323, 351/350, 540/539
Commas: 176/175, 256/255, 286/285, 324/323, 351/350, 540/539


[[POTE tuning|POTE generator]]: ~320/243 = 475.679
[[POTE_tuning|POTE generator]]: ~320/243 = 475.679


Map: [&lt;1 0 -6 4 -12 -7 14 -12|, &lt;0 4 21 -3 39 27 -25 41|]
Map: [&lt;1 0 -6 4 -12 -7 14 -12|, &lt;0 4 21 -3 39 27 -25 41|]
EDOs: 53, 58h, 111
EDOs: 53, 58h, 111
Badness: 0.0156
Badness: 0.0156


==Buteo==  
==Buteo==
Commas: 99/98, 385/384, 2200/2187
Commas: 99/98, 385/384, 2200/2187


Line 61: Line 65:


Map: [&lt;1 0 -6 4 9|, &lt;0 4 21 -3 -14|]
Map: [&lt;1 0 -6 4 9|, &lt;0 4 21 -3 -14|]
EDOs: 5, 48, 53
EDOs: 5, 48, 53
Badness: 0.0602
Badness: 0.0602


===13-limit===  
===13-limit===
Commas: 99/98, 275/273, 385/384, 572/567
Commas: 99/98, 275/273, 385/384, 572/567


Line 70: Line 76:


Map: [&lt;1 0 -6 4 9 -7|, &lt;0 4 21 -3 -14 27|]
Map: [&lt;1 0 -6 4 9 -7|, &lt;0 4 21 -3 -14 27|]
EDOs: 5, 53
EDOs: 5, 53
Badness: 0.0390
Badness: 0.0390


=Undecental=  
=Undecental=
Commas: 5120/5103, 235298/234375
Commas: 5120/5103, 235298/234375


[[POTE tuning|POTE generator]]: ~3/2 = 703.039
[[POTE_tuning|POTE generator]]: ~3/2 = 703.039


Map: [&lt;1 0 61 71|, &lt;0 1 -37 -43|]
Map: [&lt;1 0 61 71|, &lt;0 1 -37 -43|]
Wedgie: &lt;&lt;1 -37 -43 -61 -71 4||
Wedgie: &lt;&lt;1 -37 -43 -61 -71 4||
EDOs: 12, 29, 70, 99
EDOs: 12, 29, 70, 99


=Leapday=  
=Leapday=
Comma: 10737418240/10460353203
Comma: 10737418240/10460353203


Line 88: Line 98:


Map: [&lt;1 0 -31|, &lt;0 1 21|]
Map: [&lt;1 0 -31|, &lt;0 1 21|]
EDOs: 29, 46, 121, 167, 455bc, 622bc
EDOs: 29, 46, 121, 167, 455bc, 622bc
Badness: 0.5232
Badness: 0.5232


==7-limit==  
==7-limit==
Commas: 686/675, 5120/5103
Commas: 686/675, 5120/5103


[[POTE tuning|POTE generator]]: ~3/2 = 704.263
[[POTE_tuning|POTE generator]]: ~3/2 = 704.263


Map: [&lt;1 0 -31 -21|, &lt;0 1 21 15|]
Map: [&lt;1 0 -31 -21|, &lt;0 1 21 15|]
Wedgie: &lt;&lt;1 21 15 31 21 -24||
Wedgie: &lt;&lt;1 21 15 31 21 -24||
EDOs: 29, 46, 305
EDOs: 29, 46, 305
Badness: 0.0961
Badness: 0.0961


==11-limit==  
==11-limit==
Commas: 121/120, 441/440, 686/675
Commas: 121/120, 441/440, 686/675


[[POTE tuning|POTE generator]]: ~3/2 = 704.250
[[POTE_tuning|POTE generator]]: ~3/2 = 704.250


Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]
Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]
EDOs: 29, 46, 259
EDOs: 29, 46, 259
Badness: 0.0386
Badness: 0.0386


==13-limit==  
==13-limit==
Commas: 91/90, 121/120, 169/168, 441/440
Commas: 91/90, 121/120, 169/168, 441/440


[[POTE tuning|POTE generator]]: ~3/2 = 704.214
[[POTE_tuning|POTE generator]]: ~3/2 = 704.214


Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]
Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]
EDOs: 29, 46, 167, 213, 380
EDOs: 29, 46, 167, 213, 380
Badness: 0.0247
Badness: 0.0247


Line 122: Line 141:
Commas: 91/90, 121/120, 136/135, 154/153, 169/168
Commas: 91/90, 121/120, 136/135, 154/153, 169/168


[[POTE tuning|POTE generator]]: ~3/2 = 704.229
[[POTE_tuning|POTE generator]]: ~3/2 = 704.229


[&lt;1 0 -31 -21 -14 -9 -34|, &lt;0 1 21 15 11 8 24|]
[&lt;1 0 -31 -21 -14 -9 -34|, &lt;0 1 21 15 11 8 24|]
EDOs: 29g, 46, 121defg, 167defg, 213defg
EDOs: 29g, 46, 121defg, 167defg, 213defg
Badness: 0.0179
Badness: 0.0179


Line 131: Line 152:
Commas: 91/90, 121/120, 133/132, 136/135, 154/153, 169/168
Commas: 91/90, 121/120, 133/132, 136/135, 154/153, 169/168


[[POTE tuning|POTE generator]]: ~3/2 = 704.135
[[POTE_tuning|POTE generator]]: ~3/2 = 704.135


Map: [&lt;1 0 -31 -21 -14 -9 -34 9|, &lt;0 1 21 15 11 8 24 -3|]
Map: [&lt;1 0 -31 -21 -14 -9 -34 9|, &lt;0 1 21 15 11 8 24 -3|]
EDOs: 29g, 46, 75dfgh, 121defgh
EDOs: 29g, 46, 75dfgh, 121defgh
Badness: 0.0174
Badness: 0.0174


Line 140: Line 163:
Commas: 77/76, 91/90, 121/120, 136/135, 153/152, 169/168
Commas: 77/76, 91/90, 121/120, 136/135, 153/152, 169/168


[[POTE tuning|POTE generator]]: ~3/2 = 704.123
[[POTE_tuning|POTE generator]]: ~3/2 = 704.123


Map: [&lt;1 0 -31 -21 -14 -9 -34 -37|, &lt;0 1 21 15 11 8 24 26|]
Map: [&lt;1 0 -31 -21 -14 -9 -34 -37|, &lt;0 1 21 15 11 8 24 26|]
EDOs: 29g, 46h, 75dfg
EDOs: 29g, 46h, 75dfg
Badness: 0.0191
Badness: 0.0191


=Mystery=  
=Mystery=
Commas: 5120/5103, 50421/50000
Commas: 5120/5103, 50421/50000


[[POTE tuning|POTE generator]]: ~5/4 = 388.646
[[POTE_tuning|POTE generator]]: ~5/4 = 388.646


Map: [&lt;29 46 0 14|, &lt;0 0 1 1|]
Map: [&lt;29 46 0 14|, &lt;0 0 1 1|]
Wedgie: &lt;&lt;0 29 29 46 46 -14||
Wedgie: &lt;&lt;0 29 29 46 46 -14||
EDOs: 29, 58, 87, 145
EDOs: 29, 58, 87, 145
Badness: 0.1037
Badness: 0.1037


==11-limit==  
==11-limit==
Commas: 441/440, 896/891, 3388/3375
Commas: 441/440, 896/891, 3388/3375


[[POTE tuning|POTE generator]]: ~5/4 = 388.460
[[POTE_tuning|POTE generator]]: ~5/4 = 388.460


Map: [&lt;29 46 0 14 33|, &lt;0 0 1 1 1|]
Map: [&lt;29 46 0 14 33|, &lt;0 0 1 1 1|]
EDOs: 29, 58, 87, 145
EDOs: 29, 58, 87, 145
Badness: 0.0343
Badness: 0.0343


==13-limit==  
==13-limit==
Commas: 196/195, 352/351, 364/363, 676/675
Commas: 196/195, 352/351, 364/363, 676/675


[[POTE tuning|POTE generator]]: ~5/4 = 388.354
[[POTE_tuning|POTE generator]]: ~5/4 = 388.354


Map: [&lt;29 46 0 14 33 40|, &lt;0 0 1 1 1 1|]
Map: [&lt;29 46 0 14 33 40|, &lt;0 0 1 1 1 1|]
EDOs: 29, 58, 87, 145, 232, 377
EDOs: 29, 58, 87, 145, 232, 377
Badness: 0.0186
Badness: 0.0186


=Quanic=  
=Quanic=
Commas: 5120/5103, 5832000/5764801
Commas: 5120/5103, 5832000/5764801


Line 180: Line 212:


Map: [&lt;1 1 -4 0|, &lt;0 5 54 24|]
Map: [&lt;1 1 -4 0|, &lt;0 5 54 24|]
EDOs: 94, 111, 205
EDOs: 94, 111, 205
Badness: 0.1795
Badness: 0.1795


==11-limit==  
==11-limit==
Commas: 540/539, 1331/1323, 5120/5103
Commas: 540/539, 1331/1323, 5120/5103


Line 189: Line 223:


Map: [&lt;1 1 -4 0 1|, &lt;0 5 54 24 21|]
Map: [&lt;1 1 -4 0 1|, &lt;0 5 54 24 21|]
EDOs: 94, 111, 205
EDOs: 94, 111, 205
Badness: 0.0587
Badness: 0.0587


==13-limit==  
==13-limit==
Commas: 352/351, 540/539, 729/728, 1331/1323
Commas: 352/351, 540/539, 729/728, 1331/1323


Line 198: Line 234:


Map: [&lt;1 1 -4 0 1 3|, &lt;0 5 54 24 21 6|]
Map: [&lt;1 1 -4 0 1 3|, &lt;0 5 54 24 21 6|]
EDOs: 94, 111, 205
EDOs: 94, 111, 205
Badness: 0.0325
Badness: 0.0325


==17-limit==  
==17-limit==
Commas: 352/351, 442/441, 540/539, 715/714, 847/845
Commas: 352/351, 442/441, 540/539, 715/714, 847/845


Line 207: Line 245:


Map: [&lt;1 1 -4 0 1 3 -2|, &lt;0 5 54 24 21 6 52|]
Map: [&lt;1 1 -4 0 1 3 -2|, &lt;0 5 54 24 21 6 52|]
EDOs: 94, 111, 205
EDOs: 94, 111, 205
Badness: 0.0211
Badness: 0.0211


==19-limit==  
==19-limit==
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714


Line 216: Line 256:


Map: [&lt;1 1 -4 0 1 3 -2 -5|, &lt;0 5 54 24 21 6 52 79|]
Map: [&lt;1 1 -4 0 1 3 -2 -5|, &lt;0 5 54 24 21 6 52 79|]
EDOs: 94, 111, 205
EDOs: 94, 111, 205
Badness: 0.0173
Badness: 0.0173


=Supers=  
=Supers=
Commas: 5120/5103, 118098/117649
Commas: 5120/5103, 118098/117649


Line 225: Line 267:


Map: [&lt;2 1 -12 2|, &lt;0 3 23 5|]
Map: [&lt;2 1 -12 2|, &lt;0 3 23 5|]
Wedgie: &lt;&lt;6 46 10 59 -1 -106||
Wedgie: &lt;&lt;6 46 10 59 -1 -106||
EDOs: 58, 94, 152
EDOs: 58, 94, 152
Badness: 92.748
Badness: 92.748


==11-limit==  
==11-limit==
Commas: 540/539, 4000/3993, 5120/5103
Commas: 540/539, 4000/3993, 5120/5103


Line 235: Line 280:


Map: [&lt;2 1 -12 2 -9|, &lt;0 3 23 5 22|]
Map: [&lt;2 1 -12 2 -9|, &lt;0 3 23 5 22|]
EDOs: 58, 94, 152
EDOs: 58, 94, 152
Badness: 0.0282
Badness: 0.0282


==13-limit==  
==13-limit==
Commas: 352/351, 540/539, 729/728, 1575/1573
Commas: 352/351, 540/539, 729/728, 1575/1573


Line 244: Line 291:


Map: [&lt;2 1 -12 2 -9 -2|, &lt;0 3 23 5 22 13|]
Map: [&lt;2 1 -12 2 -9 -2|, &lt;0 3 23 5 22 13|]
EDOs: 58, 94, 152f
EDOs: 58, 94, 152f
Badness: 0.0216
Badness: 0.0216


=Alphaquarter=  
=Alphaquarter=
Commas: 5120/5103, 29360128/29296875
Commas: 5120/5103, 29360128/29296875


Line 253: Line 302:


Map: [&lt;1 2 2 0|, &lt;0 -9 7 61|]
Map: [&lt;1 2 2 0|, &lt;0 -9 7 61|]
Wedgie: &lt;&lt;9 -7 -61 -32 -122 -122||
Wedgie: &lt;&lt;9 -7 -61 -32 -122 -122||
EDOs: 87, 152, 239, 391
EDOs: 87, 152, 239, 391
Badness: 0.1166
Badness: 0.1166


==11-limit==  
==11-limit==
Commas: 3025/3024, 4000/3993, 5120/5103
Commas: 3025/3024, 4000/3993, 5120/5103


Line 263: Line 315:


EDOs: 87, 152, 239, 391
EDOs: 87, 152, 239, 391
Badness: 0.0296
Badness: 0.0296


=Septiquarter=  
=Septiquarter=
Commas: 5120/5103, 420175/419904
Commas: 5120/5103, 420175/419904


Line 271: Line 324:


Map: [&lt;1 3 10 2|, &lt;0 -7 -38 4|]
Map: [&lt;1 3 10 2|, &lt;0 -7 -38 4|]
Wedgie: &lt;&lt;7 38 -4 44 -26 -116||
Wedgie: &lt;&lt;7 38 -4 44 -26 -116||
EDOs: 94, 99, 292, 391, 881bd, 1272bcd
EDOs: 94, 99, 292, 391, 881bd, 1272bcd
Badness: 0.0538
Badness: 0.0538


=Tricot=  
=Tricot=
Commas: 2430/2401, 5120/5103
Commas: 2430/2401, 5120/5103


Line 281: Line 337:


Map: [[&lt; 3 16 8|, &lt;0 -3 -29 -11|]
Map: [[&lt; 3 16 8|, &lt;0 -3 -29 -11|]
Wedgie: &lt;&lt;3 29 11 39 9 -56||
Wedgie: &lt;&lt;3 29 11 39 9 -56||
EDOs: 53, 229d, 282d
EDOs: 53, 229d, 282d
Badness: 0.1001
Badness: 0.1001


==11-limit==  
==11-limit==
Commas: 99/98, 121/120, 5120/5103
Commas: 99/98, 121/120, 5120/5103


Line 291: Line 350:


Map: [[&lt; 3 16 8 11|, &lt;0 -3 -29 -11 -16|]
Map: [[&lt; 3 16 8 11|, &lt;0 -3 -29 -11 -16|]
EDOs: 53, 176de, 229
EDOs: 53, 176de, 229
Badness: 0.0561
Badness: 0.0561


==13-limit==  
==13-limit==
Commas: 99/98, 121/120, 169/168, 352/351
Commas: 99/98, 121/120, 169/168, 352/351


Line 300: Line 361:


Map: [[&lt; 3 16 8 11 7|, &lt;0 -3 -29 -11 -16 -7|]
Map: [[&lt; 3 16 8 11 7|, &lt;0 -3 -29 -11 -16 -7|]
EDOs: 53
EDOs: 53
Badness: 0.0321
Badness: 0.0321


Line 309: Line 372:


Map: [&lt;2 3 4 6|, &lt;0 4 15 -9|]
Map: [&lt;2 3 4 6|, &lt;0 4 15 -9|]
EDOS: 46, 94, 140
EDOS: 46, 94, 140
Badness: 0.0845
Badness: 0.0845


Line 318: Line 383:


Map: [&lt;2 3 4 6 7|, &lt;0 4 15 -9 -2|]
Map: [&lt;2 3 4 6 7|, &lt;0 4 15 -9 -2|]
EDOs: 46, 94, 140
EDOs: 46, 94, 140
Badness: 0.0396
Badness: 0.0396


Line 327: Line 394:


Map: [&lt;2 3 4 6 7 8|, &lt;0 4 15 -9 -2 -14|]
Map: [&lt;2 3 4 6 7 8|, &lt;0 4 15 -9 -2 -14|]
EDOs: 46, 94, 140
EDOs: 46, 94, 140
Badness: 0.0248
Badness: 0.0248


Line 336: Line 405:


Map: [&lt;2 3 4 6 7 8 8|, &lt;0 4 15 -9 -2 -14 4|]
Map: [&lt;2 3 4 6 7 8 8|, &lt;0 4 15 -9 -2 -14 4|]
EDOs: 46, 94, 140
EDOs: 46, 94, 140
Badness: 0.0166
Badness: 0.0166


Line 345: Line 416:


Map: [&lt;2 3 4 6 7 8 8 9|, &lt;0 4 15 -9 -2 -14 4 -12|]
Map: [&lt;2 3 4 6 7 8 8 9|, &lt;0 4 15 -9 -2 -14 4 -12|]
EDOs: 46, 94, 140h, 234eh
EDOs: 46, 94, 140h, 234eh
Badness: 0.0182
Badness: 0.0182


Line 354: Line 427:


Map: [&lt;2 3 4 6 7 8 8 9 9|, &lt;0 4 15 -9 -2 -14 4 -12 1|]
Map: [&lt;2 3 4 6 7 8 8 9 9|, &lt;0 4 15 -9 -2 -14 4 -12 1|]
EDOs: 46, 94, 140h, 234ehi
EDOs: 46, 94, 140h, 234ehi
Badness: 0.0140
Badness: 0.0140
</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Hemifamity temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:76:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:76 --&gt;&lt;!-- ws:start:WikiTextTocRule:77: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Buzzard"&gt;Buzzard&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:77 --&gt;&lt;!-- ws:start:WikiTextTocRule:78: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Buzzard-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Buzzard-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:79 --&gt;&lt;!-- ws:start:WikiTextTocRule:80: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Buzzard-17-limit"&gt;17-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:80 --&gt;&lt;!-- ws:start:WikiTextTocRule:81: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Buzzard-19-limit"&gt;19-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:81 --&gt;&lt;!-- ws:start:WikiTextTocRule:82: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Buzzard-Buteo"&gt;Buteo&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:82 --&gt;&lt;!-- ws:start:WikiTextTocRule:83: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Buzzard-Buteo-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Undecental"&gt;Undecental&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Leapday"&gt;Leapday&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;!-- ws:start:WikiTextTocRule:86: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Leapday-7-limit"&gt;7-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:86 --&gt;&lt;!-- ws:start:WikiTextTocRule:87: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Leapday-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:87 --&gt;&lt;!-- ws:start:WikiTextTocRule:88: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Leapday-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:88 --&gt;&lt;!-- ws:start:WikiTextTocRule:89: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Leapday-17-limit"&gt;17-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:89 --&gt;&lt;!-- ws:start:WikiTextTocRule:90: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Leapday-19-limit"&gt;19-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:90 --&gt;&lt;!-- ws:start:WikiTextTocRule:91: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Leapday-19-limit-Leapling"&gt;Leapling&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:91 --&gt;&lt;!-- ws:start:WikiTextTocRule:92: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Mystery"&gt;Mystery&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:92 --&gt;&lt;!-- ws:start:WikiTextTocRule:93: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Mystery-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:93 --&gt;&lt;!-- ws:start:WikiTextTocRule:94: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Mystery-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:94 --&gt;&lt;!-- ws:start:WikiTextTocRule:95: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Quanic"&gt;Quanic&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:95 --&gt;&lt;!-- ws:start:WikiTextTocRule:96: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Quanic-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:96 --&gt;&lt;!-- ws:start:WikiTextTocRule:97: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Quanic-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:97 --&gt;&lt;!-- ws:start:WikiTextTocRule:98: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Quanic-17-limit"&gt;17-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:98 --&gt;&lt;!-- ws:start:WikiTextTocRule:99: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Quanic-19-limit"&gt;19-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:99 --&gt;&lt;!-- ws:start:WikiTextTocRule:100: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Supers"&gt;Supers&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:100 --&gt;&lt;!-- ws:start:WikiTextTocRule:101: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Supers-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:101 --&gt;&lt;!-- ws:start:WikiTextTocRule:102: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Supers-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:102 --&gt;&lt;!-- ws:start:WikiTextTocRule:103: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Alphaquarter"&gt;Alphaquarter&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:103 --&gt;&lt;!-- ws:start:WikiTextTocRule:104: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Alphaquarter-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:104 --&gt;&lt;!-- ws:start:WikiTextTocRule:105: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Septiquarter"&gt;Septiquarter&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:105 --&gt;&lt;!-- ws:start:WikiTextTocRule:106: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Tricot"&gt;Tricot&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;!-- ws:start:WikiTextTocRule:107: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Tricot-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:107 --&gt;&lt;!-- ws:start:WikiTextTocRule:108: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Tricot-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:108 --&gt;&lt;!-- ws:start:WikiTextTocRule:109: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Ketchup"&gt;Ketchup&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:109 --&gt;&lt;!-- ws:start:WikiTextTocRule:110: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Ketchup-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:110 --&gt;&lt;!-- ws:start:WikiTextTocRule:111: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Ketchup-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:111 --&gt;&lt;!-- ws:start:WikiTextTocRule:112: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Ketchup-17-limit"&gt;17-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:112 --&gt;&lt;!-- ws:start:WikiTextTocRule:113: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Ketchup-19-limit"&gt;19-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:113 --&gt;&lt;!-- ws:start:WikiTextTocRule:114: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Ketchup-23-limit"&gt;23-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:114 --&gt;&lt;!-- ws:start:WikiTextTocRule:115: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:115 --&gt;The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&amp;gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery, quanic and ketchup. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Buzzard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Buzzard&lt;/h1&gt;
Commas: 1728/1715, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~320/243 = 475.636&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 4|, &amp;lt;0 4 21 -3|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;4 21 -3 24 -16 -66||&lt;br /&gt;
EDOs: 48, 53, 111, 164d, 275d&lt;br /&gt;
Badness: 0.0480&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Buzzard-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
Commas: 176/175, 540/539, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~320/243 = 475.700&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 4 -12|, &amp;lt;0 4 21 -3 39|]&lt;br /&gt;
EDOs: 53, 58, 111, 280cd, 391cd&lt;br /&gt;
Badness: 0.0345&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Buzzard-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
Commas: 176/175, 351/350, 540/539, 676/675&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~320/243 = 475.697&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 4 -12 -7|, &amp;lt;0 4 21 -3 39 27|]&lt;br /&gt;
EDOs: 53, 58, 111, 280cdf, 391cdf&lt;br /&gt;
Badness: 0.0188&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Buzzard-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;17-limit&lt;/h2&gt;
Commas: 176/175, 256/255, 351/350, 442/441, 540/539&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~320/243 = 475.692&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 4 -12 -7 14|, &amp;lt;0 4 21 -3 39 27 -25|]&lt;br /&gt;
EDOs: 53, 58, 111, 321cdfg&lt;br /&gt;
Badness: 0.0184&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Buzzard-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;19-limit&lt;/h2&gt;
Commas: 176/175, 256/255, 286/285, 324/323, 351/350, 540/539&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~320/243 = 475.679&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 4 -12 -7 14 -12|, &amp;lt;0 4 21 -3 39 27 -25 41|]&lt;br /&gt;
EDOs: 53, 58h, 111&lt;br /&gt;
Badness: 0.0156&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Buzzard-Buteo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Buteo&lt;/h2&gt;
Commas: 99/98, 385/384, 2200/2187&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/16 = 475.436&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 4 9|, &amp;lt;0 4 21 -3 -14|]&lt;br /&gt;
EDOs: 5, 48, 53&lt;br /&gt;
Badness: 0.0602&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="Buzzard-Buteo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;13-limit&lt;/h3&gt;
Commas: 99/98, 275/273, 385/384, 572/567&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/16 = 475.464&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 4 9 -7|, &amp;lt;0 4 21 -3 -14 27|]&lt;br /&gt;
EDOs: 5, 53&lt;br /&gt;
Badness: 0.0390&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Undecental"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Undecental&lt;/h1&gt;
Commas: 5120/5103, 235298/234375&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 703.039&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 61 71|, &amp;lt;0 1 -37 -43|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;1 -37 -43 -61 -71 4||&lt;br /&gt;
EDOs: 12, 29, 70, 99&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Leapday"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Leapday&lt;/h1&gt;
Comma: 10737418240/10460353203&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 704.179&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31|, &amp;lt;0 1 21|]&lt;br /&gt;
EDOs: 29, 46, 121, 167, 455bc, 622bc&lt;br /&gt;
Badness: 0.5232&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Leapday-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;7-limit&lt;/h2&gt;
Commas: 686/675, 5120/5103&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.263&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21|, &amp;lt;0 1 21 15|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;1 21 15 31 21 -24||&lt;br /&gt;
EDOs: 29, 46, 305&lt;br /&gt;
Badness: 0.0961&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Leapday-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;11-limit&lt;/h2&gt;
Commas: 121/120, 441/440, 686/675&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.250&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21 -14|, &amp;lt;0 1 21 15 11|]&lt;br /&gt;
EDOs: 29, 46, 259&lt;br /&gt;
Badness: 0.0386&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Leapday-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;13-limit&lt;/h2&gt;
Commas: 91/90, 121/120, 169/168, 441/440&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.214&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21 -14 -9|, &amp;lt;0 1 21 15 11 8|]&lt;br /&gt;
EDOs: 29, 46, 167, 213, 380&lt;br /&gt;
Badness: 0.0247&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Leapday-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;17-limit&lt;/h2&gt;
Commas: 91/90, 121/120, 136/135, 154/153, 169/168&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.229&lt;br /&gt;
&lt;br /&gt;
[&amp;lt;1 0 -31 -21 -14 -9 -34|, &amp;lt;0 1 21 15 11 8 24|]&lt;br /&gt;
EDOs: 29g, 46, 121defg, 167defg, 213defg&lt;br /&gt;
Badness: 0.0179&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Leapday-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;19-limit&lt;/h2&gt;
Commas: 91/90, 121/120, 133/132, 136/135, 154/153, 169/168&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.135&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21 -14 -9 -34 9|, &amp;lt;0 1 21 15 11 8 24 -3|]&lt;br /&gt;
EDOs: 29g, 46, 75dfgh, 121defgh&lt;br /&gt;
Badness: 0.0174&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Leapday-19-limit-Leapling"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Leapling&lt;/h3&gt;
Commas: 77/76, 91/90, 121/120, 136/135, 153/152, 169/168&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 704.123&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -31 -21 -14 -9 -34 -37|, &amp;lt;0 1 21 15 11 8 24 26|]&lt;br /&gt;
EDOs: 29g, 46h, 75dfg&lt;br /&gt;
Badness: 0.0191&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Mystery"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Mystery&lt;/h1&gt;
Commas: 5120/5103, 50421/50000&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.646&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;29 46 0 14|, &amp;lt;0 0 1 1|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;0 29 29 46 46 -14||&lt;br /&gt;
EDOs: 29, 58, 87, 145&lt;br /&gt;
Badness: 0.1037&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="Mystery-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;11-limit&lt;/h2&gt;
Commas: 441/440, 896/891, 3388/3375&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.460&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;29 46 0 14 33|, &amp;lt;0 0 1 1 1|]&lt;br /&gt;
EDOs: 29, 58, 87, 145&lt;br /&gt;
Badness: 0.0343&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="Mystery-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;13-limit&lt;/h2&gt;
Commas: 196/195, 352/351, 364/363, 676/675&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~5/4 = 388.354&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;29 46 0 14 33 40|, &amp;lt;0 0 1 1 1 1|]&lt;br /&gt;
EDOs: 29, 58, 87, 145, 232, 377&lt;br /&gt;
Badness: 0.0186&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Quanic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Quanic&lt;/h1&gt;
Commas: 5120/5103, 5832000/5764801&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~160/147 = 140.493&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -4 0|, &amp;lt;0 5 54 24|]&lt;br /&gt;
EDOs: 94, 111, 205&lt;br /&gt;
Badness: 0.1795&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Quanic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;11-limit&lt;/h2&gt;
Commas: 540/539, 1331/1323, 5120/5103&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~88/81 = 140.489&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -4 0 1|, &amp;lt;0 5 54 24 21|]&lt;br /&gt;
EDOs: 94, 111, 205&lt;br /&gt;
Badness: 0.0587&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Quanic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;13-limit&lt;/h2&gt;
Commas: 352/351, 540/539, 729/728, 1331/1323&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/12 = 140.496&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -4 0 1 3|, &amp;lt;0 5 54 24 21 6|]&lt;br /&gt;
EDOs: 94, 111, 205&lt;br /&gt;
Badness: 0.0325&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Quanic-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;17-limit&lt;/h2&gt;
Commas: 352/351, 442/441, 540/539, 715/714, 847/845&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/12 = 140.497&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -4 0 1 3 -2|, &amp;lt;0 5 54 24 21 6 52|]&lt;br /&gt;
EDOs: 94, 111, 205&lt;br /&gt;
Badness: 0.0211&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc22"&gt;&lt;a name="Quanic-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;19-limit&lt;/h2&gt;
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/12 = 140.496&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -4 0 1 3 -2 -5|, &amp;lt;0 5 54 24 21 6 52 79|]&lt;br /&gt;
EDOs: 94, 111, 205&lt;br /&gt;
Badness: 0.0173&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Supers"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;Supers&lt;/h1&gt;
Commas: 5120/5103, 118098/117649&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 434.218&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 -12 2|, &amp;lt;0 3 23 5|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;6 46 10 59 -1 -106||&lt;br /&gt;
EDOs: 58, 94, 152&lt;br /&gt;
Badness: 92.748&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc24"&gt;&lt;a name="Supers-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;11-limit&lt;/h2&gt;
Commas: 540/539, 4000/3993, 5120/5103&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 434.217&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 -12 2 -9|, &amp;lt;0 3 23 5 22|]&lt;br /&gt;
EDOs: 58, 94, 152&lt;br /&gt;
Badness: 0.0282&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc25"&gt;&lt;a name="Supers-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;13-limit&lt;/h2&gt;
Commas: 352/351, 540/539, 729/728, 1575/1573&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 434.221&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 -12 2 -9 -2|, &amp;lt;0 3 23 5 22 13|]&lt;br /&gt;
EDOs: 58, 94, 152f&lt;br /&gt;
Badness: 0.0216&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Alphaquarter"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;Alphaquarter&lt;/h1&gt;
Commas: 5120/5103, 29360128/29296875&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~16128/15625 = 55.243&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 2 0|, &amp;lt;0 -9 7 61|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;9 -7 -61 -32 -122 -122||&lt;br /&gt;
EDOs: 87, 152, 239, 391&lt;br /&gt;
Badness: 0.1166&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc27"&gt;&lt;a name="Alphaquarter-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;11-limit&lt;/h2&gt;
Commas: 3025/3024, 4000/3993, 5120/5103&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~33/32 = 55.243&lt;br /&gt;
&lt;br /&gt;
EDOs: 87, 152, 239, 391&lt;br /&gt;
Badness: 0.0296&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Septiquarter"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;Septiquarter&lt;/h1&gt;
Commas: 5120/5103, 420175/419904&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~147/128 = 242.453&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 10 2|, &amp;lt;0 -7 -38 4|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;7 38 -4 44 -26 -116||&lt;br /&gt;
EDOs: 94, 99, 292, 391, 881bd, 1272bcd&lt;br /&gt;
Badness: 0.0538&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:58:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Tricot"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:58 --&gt;Tricot&lt;/h1&gt;
Commas: 2430/2401, 5120/5103&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~81/56 = 634.026&lt;br /&gt;
&lt;br /&gt;
Map: [[&amp;lt; 3 16 8|, &amp;lt;0 -3 -29 -11|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;3 29 11 39 9 -56||&lt;br /&gt;
EDOs: 53, 229d, 282d&lt;br /&gt;
Badness: 0.1001&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc30"&gt;&lt;a name="Tricot-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&gt;11-limit&lt;/h2&gt;
Commas: 99/98, 121/120, 5120/5103&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~63/44 = 634.027&lt;br /&gt;
&lt;br /&gt;
Map: [[&amp;lt; 3 16 8 11|, &amp;lt;0 -3 -29 -11 -16|]&lt;br /&gt;
EDOs: 53, 176de, 229&lt;br /&gt;
Badness: 0.0561&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc31"&gt;&lt;a name="Tricot-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&gt;13-limit&lt;/h2&gt;
Commas: 99/98, 121/120, 169/168, 352/351&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/9 = 634.012&lt;br /&gt;
&lt;br /&gt;
Map: [[&amp;lt; 3 16 8 11 7|, &amp;lt;0 -3 -29 -11 -16 -7|]&lt;br /&gt;
EDOs: 53&lt;br /&gt;
Badness: 0.0321&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:64:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Ketchup"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:64 --&gt;Ketchup&lt;/h1&gt;
Commas: 5120/5103, 1071875/1062882&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~64/63 = ~81/80 = 25.719&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 3 4 6|, &amp;lt;0 4 15 -9|]&lt;br /&gt;
EDOS: 46, 94, 140&lt;br /&gt;
Badness: 0.0845&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc33"&gt;&lt;a name="Ketchup-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&gt;11-limit&lt;/h2&gt;
Commas: 385/384, 1331/1323, 2200/2187&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.693&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 3 4 6 7|, &amp;lt;0 4 15 -9 -2|]&lt;br /&gt;
EDOs: 46, 94, 140&lt;br /&gt;
Badness: 0.0396&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc34"&gt;&lt;a name="Ketchup-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&gt;13-limit&lt;/h2&gt;
Commas: 325/324, 352/351, 847/845, 1331/1323&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.697&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 3 4 6 7 8|, &amp;lt;0 4 15 -9 -2 -14|]&lt;br /&gt;
EDOs: 46, 94, 140&lt;br /&gt;
Badness: 0.0248&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:70:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc35"&gt;&lt;a name="Ketchup-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&gt;17-limit&lt;/h2&gt;
Commas: 289/288, 325/324, 352/351, 385/384, 561/560&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.701&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 3 4 6 7 8 8|, &amp;lt;0 4 15 -9 -2 -14 4|]&lt;br /&gt;
EDOs: 46, 94, 140&lt;br /&gt;
Badness: 0.0166&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:72:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc36"&gt;&lt;a name="Ketchup-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:72 --&gt;19-limit&lt;/h2&gt;
Commas: 190/189, 209/208, 289/288, 352/351, 385/384, 561/560&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.660&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 3 4 6 7 8 8 9|, &amp;lt;0 4 15 -9 -2 -14 4 -12|]&lt;br /&gt;
EDOs: 46, 94, 140h, 234eh&lt;br /&gt;
Badness: 0.0182&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:74:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc37"&gt;&lt;a name="Ketchup-23-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:74 --&gt;23-limit&lt;/h2&gt;
Commas: 190/189, 209/208, 253/252, 289/288, 323/322, 352/351, 385/384&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.661&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 3 4 6 7 8 8 9 9|, &amp;lt;0 4 15 -9 -2 -14 4 -12 1|]&lt;br /&gt;
EDOs: 46, 94, 140h, 234ehi&lt;br /&gt;
Badness: 0.0140&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1> = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery, quanic and ketchup. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.

Buzzard

Commas: 1728/1715, 5120/5103

POTE generator: ~320/243 = 475.636

Map: [<1 0 -6 4|, <0 4 21 -3|]

Wedgie: <<4 21 -3 24 -16 -66||

EDOs: 48, 53, 111, 164d, 275d

Badness: 0.0480

11-limit

Commas: 176/175, 540/539, 5120/5103

POTE generator: ~320/243 = 475.700

Map: [<1 0 -6 4 -12|, <0 4 21 -3 39|]

EDOs: 53, 58, 111, 280cd, 391cd

Badness: 0.0345

13-limit

Commas: 176/175, 351/350, 540/539, 676/675

POTE generator: ~320/243 = 475.697

Map: [<1 0 -6 4 -12 -7|, <0 4 21 -3 39 27|]

EDOs: 53, 58, 111, 280cdf, 391cdf

Badness: 0.0188

17-limit

Commas: 176/175, 256/255, 351/350, 442/441, 540/539

POTE generator: ~320/243 = 475.692

Map: [<1 0 -6 4 -12 -7 14|, <0 4 21 -3 39 27 -25|]

EDOs: 53, 58, 111, 321cdfg

Badness: 0.0184

19-limit

Commas: 176/175, 256/255, 286/285, 324/323, 351/350, 540/539

POTE generator: ~320/243 = 475.679

Map: [<1 0 -6 4 -12 -7 14 -12|, <0 4 21 -3 39 27 -25 41|]

EDOs: 53, 58h, 111

Badness: 0.0156

Buteo

Commas: 99/98, 385/384, 2200/2187

POTE generator: ~21/16 = 475.436

Map: [<1 0 -6 4 9|, <0 4 21 -3 -14|]

EDOs: 5, 48, 53

Badness: 0.0602

13-limit

Commas: 99/98, 275/273, 385/384, 572/567

POTE generator: ~21/16 = 475.464

Map: [<1 0 -6 4 9 -7|, <0 4 21 -3 -14 27|]

EDOs: 5, 53

Badness: 0.0390

Undecental

Commas: 5120/5103, 235298/234375

POTE generator: ~3/2 = 703.039

Map: [<1 0 61 71|, <0 1 -37 -43|]

Wedgie: <<1 -37 -43 -61 -71 4||

EDOs: 12, 29, 70, 99

Leapday

Comma: 10737418240/10460353203

POTE generator: ~3/2 = 704.179

Map: [<1 0 -31|, <0 1 21|]

EDOs: 29, 46, 121, 167, 455bc, 622bc

Badness: 0.5232

7-limit

Commas: 686/675, 5120/5103

POTE generator: ~3/2 = 704.263

Map: [<1 0 -31 -21|, <0 1 21 15|]

Wedgie: <<1 21 15 31 21 -24||

EDOs: 29, 46, 305

Badness: 0.0961

11-limit

Commas: 121/120, 441/440, 686/675

POTE generator: ~3/2 = 704.250

Map: [<1 0 -31 -21 -14|, <0 1 21 15 11|]

EDOs: 29, 46, 259

Badness: 0.0386

13-limit

Commas: 91/90, 121/120, 169/168, 441/440

POTE generator: ~3/2 = 704.214

Map: [<1 0 -31 -21 -14 -9|, <0 1 21 15 11 8|]

EDOs: 29, 46, 167, 213, 380

Badness: 0.0247

17-limit

Commas: 91/90, 121/120, 136/135, 154/153, 169/168

POTE generator: ~3/2 = 704.229

[<1 0 -31 -21 -14 -9 -34|, <0 1 21 15 11 8 24|]

EDOs: 29g, 46, 121defg, 167defg, 213defg

Badness: 0.0179

19-limit

Commas: 91/90, 121/120, 133/132, 136/135, 154/153, 169/168

POTE generator: ~3/2 = 704.135

Map: [<1 0 -31 -21 -14 -9 -34 9|, <0 1 21 15 11 8 24 -3|]

EDOs: 29g, 46, 75dfgh, 121defgh

Badness: 0.0174

Leapling

Commas: 77/76, 91/90, 121/120, 136/135, 153/152, 169/168

POTE generator: ~3/2 = 704.123

Map: [<1 0 -31 -21 -14 -9 -34 -37|, <0 1 21 15 11 8 24 26|]

EDOs: 29g, 46h, 75dfg

Badness: 0.0191

Mystery

Commas: 5120/5103, 50421/50000

POTE generator: ~5/4 = 388.646

Map: [<29 46 0 14|, <0 0 1 1|]

Wedgie: <<0 29 29 46 46 -14||

EDOs: 29, 58, 87, 145

Badness: 0.1037

11-limit

Commas: 441/440, 896/891, 3388/3375

POTE generator: ~5/4 = 388.460

Map: [<29 46 0 14 33|, <0 0 1 1 1|]

EDOs: 29, 58, 87, 145

Badness: 0.0343

13-limit

Commas: 196/195, 352/351, 364/363, 676/675

POTE generator: ~5/4 = 388.354

Map: [<29 46 0 14 33 40|, <0 0 1 1 1 1|]

EDOs: 29, 58, 87, 145, 232, 377

Badness: 0.0186

Quanic

Commas: 5120/5103, 5832000/5764801

POTE generator: ~160/147 = 140.493

Map: [<1 1 -4 0|, <0 5 54 24|]

EDOs: 94, 111, 205

Badness: 0.1795

11-limit

Commas: 540/539, 1331/1323, 5120/5103

POTE generator: ~88/81 = 140.489

Map: [<1 1 -4 0 1|, <0 5 54 24 21|]

EDOs: 94, 111, 205

Badness: 0.0587

13-limit

Commas: 352/351, 540/539, 729/728, 1331/1323

POTE generator: ~13/12 = 140.496

Map: [<1 1 -4 0 1 3|, <0 5 54 24 21 6|]

EDOs: 94, 111, 205

Badness: 0.0325

17-limit

Commas: 352/351, 442/441, 540/539, 715/714, 847/845

POTE generator: ~13/12 = 140.497

Map: [<1 1 -4 0 1 3 -2|, <0 5 54 24 21 6 52|]

EDOs: 94, 111, 205

Badness: 0.0211

19-limit

Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714

POTE generator: ~13/12 = 140.496

Map: [<1 1 -4 0 1 3 -2 -5|, <0 5 54 24 21 6 52 79|]

EDOs: 94, 111, 205

Badness: 0.0173

Supers

Commas: 5120/5103, 118098/117649

POTE generator: ~9/7 = 434.218

Map: [<2 1 -12 2|, <0 3 23 5|]

Wedgie: <<6 46 10 59 -1 -106||

EDOs: 58, 94, 152

Badness: 92.748

11-limit

Commas: 540/539, 4000/3993, 5120/5103

POTE generator: ~9/7 = 434.217

Map: [<2 1 -12 2 -9|, <0 3 23 5 22|]

EDOs: 58, 94, 152

Badness: 0.0282

13-limit

Commas: 352/351, 540/539, 729/728, 1575/1573

POTE generator: ~9/7 = 434.221

Map: [<2 1 -12 2 -9 -2|, <0 3 23 5 22 13|]

EDOs: 58, 94, 152f

Badness: 0.0216

Alphaquarter

Commas: 5120/5103, 29360128/29296875

POTE generator: ~16128/15625 = 55.243

Map: [<1 2 2 0|, <0 -9 7 61|]

Wedgie: <<9 -7 -61 -32 -122 -122||

EDOs: 87, 152, 239, 391

Badness: 0.1166

11-limit

Commas: 3025/3024, 4000/3993, 5120/5103

POTE generator: ~33/32 = 55.243

EDOs: 87, 152, 239, 391

Badness: 0.0296

Septiquarter

Commas: 5120/5103, 420175/419904

POTE generator: ~147/128 = 242.453

Map: [<1 3 10 2|, <0 -7 -38 4|]

Wedgie: <<7 38 -4 44 -26 -116||

EDOs: 94, 99, 292, 391, 881bd, 1272bcd

Badness: 0.0538

Tricot

Commas: 2430/2401, 5120/5103

POTE generator: ~81/56 = 634.026

Map: [[< 3 16 8|, <0 -3 -29 -11|]

Wedgie: <<3 29 11 39 9 -56||

EDOs: 53, 229d, 282d

Badness: 0.1001

11-limit

Commas: 99/98, 121/120, 5120/5103

POTE generator: ~63/44 = 634.027

Map: [[< 3 16 8 11|, <0 -3 -29 -11 -16|]

EDOs: 53, 176de, 229

Badness: 0.0561

13-limit

Commas: 99/98, 121/120, 169/168, 352/351

POTE generator: ~13/9 = 634.012

Map: [[< 3 16 8 11 7|, <0 -3 -29 -11 -16 -7|]

EDOs: 53

Badness: 0.0321

Ketchup

Commas: 5120/5103, 1071875/1062882

POTE generator: ~64/63 = ~81/80 = 25.719

Map: [<2 3 4 6|, <0 4 15 -9|]

EDOS: 46, 94, 140

Badness: 0.0845

11-limit

Commas: 385/384, 1331/1323, 2200/2187

POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.693

Map: [<2 3 4 6 7|, <0 4 15 -9 -2|]

EDOs: 46, 94, 140

Badness: 0.0396

13-limit

Commas: 325/324, 352/351, 847/845, 1331/1323

POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.697

Map: [<2 3 4 6 7 8|, <0 4 15 -9 -2 -14|]

EDOs: 46, 94, 140

Badness: 0.0248

17-limit

Commas: 289/288, 325/324, 352/351, 385/384, 561/560

POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.701

Map: [<2 3 4 6 7 8 8|, <0 4 15 -9 -2 -14 4|]

EDOs: 46, 94, 140

Badness: 0.0166

19-limit

Commas: 190/189, 209/208, 289/288, 352/351, 385/384, 561/560

POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.660

Map: [<2 3 4 6 7 8 8 9|, <0 4 15 -9 -2 -14 4 -12|]

EDOs: 46, 94, 140h, 234eh

Badness: 0.0182

23-limit

Commas: 190/189, 209/208, 253/252, 289/288, 323/322, 352/351, 385/384

POTE generator: ~55/54 = ~64/63 = ~81/80 = 25.661

Map: [<2 3 4 6 7 8 8 9 9|, <0 4 15 -9 -2 -14 4 -12 1|]

EDOs: 46, 94, 140h, 234ehi

Badness: 0.0140

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