List of 19et rank two temperaments by badness
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author phylingual and made on 2012-04-24 07:25:22 UTC.
- The original revision id was 324537068.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Below are listed rank-two temperaments supported by the [[xenharmonic/19edo|19edo]] patent val, below the indicated cutoff in TE badness. =5-limit temperaments with badness below 0.1= Listed is the wedgie and the TE badness times 1000 for six temperaments with badness less than 0.1. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<1 4 4]] || Meantone || 7.381 || 81/80 || || 2 || <<6 5 -6]] || Hanson || 13.234 || 15625/15552 || || 3 || <<7 9 -2]] || Sensipent || 35.22 || 78732/78125 || || 4 || <<5 1 -10]] || Magic || 39.163 || 3125/3072 || || 5 || <<51 52 -36]] || Egads || 41.819 || |-36 -52 51> || || 6 || <<13 14 -8]] || Parakleismic || 43.279 || 1224440064/1220703125 || || 7 || <<19 19 -14]] || Enneadecal || 47.845 || 19073486328125/19042491875328 || || 8 || <<4 -3 -14]] || Negri || 86.856 || 16875/16384 || =7-limit temperaments with badness below 0.06= Listed is the wedgie and the TE badness times 1000 for 18 temperaments with badness less than 0.06. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<19 19 57 -14 37 79]] || Enneadecal || 10.954 || 4375/4374 703125/702464 || || 2 || <<1 4 10 4 13 12]] || Meantone || 13.707 || 81/80 126/125 || || 3 || <<5 1 12 -10 5 25]] || Magic || 18.918 || 225/224 245/243 || || 4 || <<6 5 22 -6 18 37]] || Catakleismic || 21.501 || 225/224 4375/4374 || || 5 || <<7 9 13 -2 1 5]] || Sensi || 25.622 || 126/125 245/243 || || 6 || <<4 -3 2 -14 -8 13]] || Negri || 26.483 || 49/48 225/224 || || 7 || <<2 8 1 8 -4 -20]] || Godzilla || 26.747 || 49/48 81/80 || || 8 || <<6 5 3 -6 -12 -7]] || Keemun || 27.408 || 49/48 126/125 || || 9 || <<13 14 35 -8 19 42]] || Parakleismic || 27.431 || 3136/3125 4375/4374 || || 10 || <<1 4 -9 4 -17 -32]] || Flattone || 38.553 || 81/80 525/512 || || 11 || <<8 13 23 2 14 17]] || Unicorn || 40.913 || 126/125 10976/10935 || || 12 || <<3 12 11 12 9 -8]] || Liese || 46.706 || 81/80 686/675 || || 13 || <<12 10 25 -12 6 30]] || Clyde || 47.261 || 245/243 3136/3125 || || 14 || <<14 18 45 -4 32 54]] || Subpental || 54.303 || 3136/3125 19683/19600 || || 15 || <<32 33 92 -22 56 121]] || Acrokleismic || 56.184 || 4375/4374 2202927104/2197265625 || || 16 || <<5 1 -7 -10 -25 -19]] || Muggles || 56.206 || 126/125 525/512 || || 17 || <<7 9 32 -2 31 49]] || Sensei || 59.218 || 225/224 78732/78125 || || 18 || <<3 -7 -8 -18 -21 1]] || Triton || 59.245 || 225/224 1029/1000 || =11-limit temperaments with badness below 0.05= Listed is the wedgie and the TE badness times 1000 for 2 temperaments with badness less than 0.05. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<5 1 12 -8 -10 5 -30 25 -22 -64]] || Magic || 20.352 || 100/99 225/224 245/243 || || 2 || <<1 4 10 6 4 13 6 12 0 -18]] || Meanenneadecal || 21.423 || 45/44 56/55 81/80 || || 3 || <<1 4 10 -13 4 13 -24 12 -44 -71]] || Meanpop || 21.543 || 81/80 126/125 540/539 || || 4 || <<6 5 22 -21 -6 18 -54 37 -66 -135]] || Catakleismic || 21.849 || 225/224 385/384 4375/4374 || || 5 || <<4 -3 2 5 -14 -8 -6 13 22 7]] || Negri || 26.190 || 45/44 49/48 56/55 || || 6 || <<6 5 3 -2 -6 -12 -24 -7 -22 -16]] || Keemun || 27.410 || 49/48 56/55 100/99 || || 7 || <<7 9 13 4 -2 1 -18 5 -22 -34]] || Sensis || 28.680 || 56/55 100/99 245/243 || || 8 || <<2 8 1 12 8 -4 12 -20 0 30]] || Godzilla || 28.947 || 45/44 49/48 81/80 || || 9 || <<1 4 -9 6 4 -17 6 -32 0 48]] || Flattone || 33.839 || 45/44 81/80 385/384 || || 10 || <<2 8 1 -7 8 -4 -18 -20 -44 -23]] || Baragon || 35.673 || 49/48 56/55 81/80 || || 11 || <<0 0 0 19 0 0 30 0 44 53]] || Undevigintone || 36.387 || 49/48 81/80 126/125 || || 12 || <<32 33 92 -74 -22 56 -228 121 -286 -526]] || Acrokleismic || 36.878 || 4375/4374 41503/41472 172032/171875 || || 13 || <<7 9 13 -15 -2 1 -48 5 -66 -87]] || Sensor || 37.942 || 126/125 245/243 385/384 || || 14 || <<4 -3 2 -14 -14 -8 -36 13 -22 -46]] || Negril || 38.679 || 49/48 100/99 225/224 || || 15 || <<8 13 23 -9 2 14 -42 17 -66 -105]] || Alicorn || 39.156 || 126/125 540/539 896/891 || || 16 || <<5 1 12 11 -10 5 0 25 22 -11]] || Charisma || 39.282 || 45/44 56/55 245/243 || || 17 || <<38 38 114 -95 -28 74 -282 158 -352 -661]] || || 39.701 || 4375/4374 41503/41472 703125/702464 || || 18 || <<6 5 3 17 -6 -12 6 -7 22 37]] || || 40.056 || 45/44 49/48 126/125 || || 19 || <<3 12 11 -1 12 9 -12 -8 -44 -41]] || || 40.7210 || 56/55 81/80 540/539 || || 20 || <<13 14 35 -17 -8 19 -72 42 -88 -169]] || || 41.720 || 540/539 896/891 3136/3125 || || 21 || <<19 19 57 -38 -14 37 -126 79 -154 -304]] || || 43.734 || 540/539 4375/4374 16384/16335 || || 22 || <<6 5 22 -2 -6 18 -24 37 -22 -82]] || || 44.3350 || 100/99 225/224 864/847 || || 23 || <<14 18 45 -30 -4 32 -96 54 -132 -240]] || || 45.352 || 540/539 3136/3125 8019/8 || || 24 || <<3 -7 -8 -1 -18 -21 -12 1 22 25]] || || 45.675 || 45/44 56/55 1029/1000 || || 25 || <<12 10 25 -23 -12 6 -78 30 -88 -151]] || || 47.417 || 245/243 385/384 3136/3125 || || 26 || <<5 1 -7 11 -10 -25 0 -19 22 55]] || || 48.038 || 45/44 126/125 385/384 || || 27 || <<2 8 20 -7 8 26 -18 24 -44 -89]] || || 49.303 || 81/80 126/125 864/847 || || 28 || <<13 14 35 -36 -8 19 -102 42 -132 -222]] || || 49.711 || 385/384 3136/3125 4375/4374 || =13-limit temperaments with badness below 0.04= Listed is the wedgie and the TE badness times 1000 for 46 temperaments with badness less than 0.04. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<6 5 22 -21 14 -6 18 -54 0 37 -66 14 -135 -42 126]] || Catakleismic || 16.883 || 169/168 225/224 325/324 385/384 || || 2 || <<4 -3 2 5 3 -14 -8 -6 -10 13 22 18 7 1 -8]] || Negri || 17.833 || 45/44 49/48 56/55 78/77 || || 3 || <<7 9 13 4 10 -2 1 -18 -10 5 -22 -10 -34 -20 20]] || Sensis || 20.017 || 56/55 78/77 91/90 100/99 || || 4 || <<1 4 10 -13 15 4 13 -24 20 12 -44 20 -71 5 100]] || Meanpop || 20.883 || 81/80 105/104 144/143 196/195 || || 5 || <<1 4 10 6 15 4 13 6 20 12 0 20 -18 5 30]] || Meanenneadecal || 21.182 || 45/44 56/55 78/77 81/80 || || 6 || <<5 1 12 -8 18 -10 5 -30 10 25 -22 38 -64 6 92]] || Magic || 21.509 || 100/99 105/104 144/143 196/195 || || 7 || <<1 4 -9 6 -4 4 -17 6 -10 -32 0 -24 48 22 -36]] || Flattone || 22.260 || 45/44 65/64 78/77 81/80 || || 8 || <<2 8 1 12 11 8 -4 12 10 -20 0 -4 30 27 -6]] || || 22.503 || 45/44 49/48 78/77 81/80 || || 9 || <<6 5 3 -2 14 -6 -12 -24 0 -7 -22 14 -16 28 56]] || Keema || 22.749 || 49/48 56/55 91/90 625/624 || || 10 || <<0 0 0 19 0 0 0 30 0 0 44 0 53 0 -70]] || || 22.933 || 49/48 65/64 81/80 91/90 || || 11 || <<8 13 23 -9 25 2 14 -42 10 17 -66 10 -105 -15 120]] || Alicorn || 23.667 || 126/125 144/143 196/195 676/675 || || 12 || <<4 -3 2 -14 3 -14 -8 -36 -10 13 -22 18 -46 1 62]] || Negril || 24.383 || 49/48 65/64 91/90 875/858 || || 13 || <<1 4 10 6 -4 4 13 6 -10 12 0 -24 -18 -48 -36]] || || 24.763 || 45/44 56/55 65/64 81/80 || || 14 || <<7 9 13 -15 10 -2 1 -48 -10 5 -66 -10 -87 -20 90]] || Sensor || 25.575 || 91/90 126/125 169/168 385/384 || || 15 || <<5 1 12 -8 -1 -10 5 -30 -20 25 -22 -6 -64 -47 26]] || || 25.829 || 65/64 78/77 91/90 100/99 || || 16 || <<2 8 1 -7 11 8 -4 -18 10 -20 -44 -4 -23 27 64]] || || 26.703 || 49/48 56/55 81/80 91/90 || || 17 || <<3 12 11 -1 7 12 9 -12 0 -8 -44 -28 -41 -21 28]] || || 27.304 || 56/55 78/77 81/80 91/90 || || 18 || <<6 5 22 -2 14 -6 18 -24 0 37 -22 14 -82 -42 56]] || || 27.343 || 78/77 100/99 144/143 676/675 || || 19 || <<1 4 10 -13 -4 4 13 -24 -10 12 -44 -24 -71 -48 34]] || || 27.666 || 65/64 81/80 126/125 169/165 || || 20 || <<6 5 3 17 14 -6 -12 6 0 -7 22 14 37 28 -14]] || || 29.419 || 45/44 49/48 78/77 126/125 || || 21 || <<6 5 3 -2 -5 -6 -12 -24 -30 -7 -22 -30 -16 -25 -10]] || || 29.749 || 49/48 56/55 78/77 100/99 || || 22 || <<5 1 -7 11 -1 -10 -25 0 -20 -19 22 -6 55 23 -44]] || || 30.386 || 45/44 65/64 78/77 126/125 || || 23 || <<2 8 20 -7 11 8 26 -18 10 24 -44 -4 -89 -43 64]] || || 30.438 || 78/77 126/125 144/143 676/675 || || 24 || <<5 1 12 11 18 -10 5 0 10 25 22 38 -11 6 22]] || || 31.938 || 45/44 56/55 78/77 875/864 || || 25 || <<2 8 1 12 -8 8 -4 12 -20 -20 0 -48 30 -26 -72]] || || 32.878 || 45/44 49/48 65/64 81/80 || || 26 || <<12 10 25 -4 28 -12 6 -48 0 30 -44 28 -98 -14 112]] || || 32.989 || 100/99 144/143 196/195 2197/2187 || || 27 || <<5 1 12 11 -1 -10 5 0 -20 25 22 -6 -11 -47 -44]] || || 33.317 || 45/44 56/55 65/64 507/500 || || 28 || <<3 -7 -8 -1 -12 -18 -21 -12 -30 1 22 -2 25 -4 -38]] || || 33.858 || 45/44 56/55 78/77 507/500 || || 29 || <<11 6 15 -10 13 -16 -7 -54 -20 18 -44 8 -80 -19 82]] || || 34.295 || 91/90 100/99 169/168 385/384 || || 30 || <<1 4 -9 25 -4 4 -17 36 -10 -32 44 -24 101 22 -106]] || || 34.640 || 65/64 81/80 105/104 625/616 || || 31 || <<2 8 1 -7 -8 8 -4 -18 -20 -20 -44 -48 -23 -26 -2]] || || 35.063 || 49/48 56/55 65/64 81/80 || || 32 || <<5 1 -7 -8 -1 -10 -25 -30 -20 -19 -22 -6 2 23 26]] || || 35.188 || 56/55 65/64 100/99 105/104 || || 33 || <<0 0 0 0 19 0 0 0 30 0 0 44 0 53 66]] || || 35.286 || 45/44 49/48 56/55 81/80 || || 34 || <<13 14 35 -17 24 -8 19 -72 -10 42 -88 4 -169 -62 146]] || || 35.781 || 169/168 325/324 540/539 832/825 || || 35 || <<3 12 11 18 7 12 9 18 0 -8 0 -28 12 -21 -42]] || || 36.144 || 45/44 81/80 91/88 147/143 || || 36 || <<11 6 15 9 13 -16 -7 -24 -20 18 0 8 -27 -19 12]] || || 37.127 || 56/55 78/77 91/90 125/121 || || 37 || <<10 2 24 -16 17 -20 10 -60 -10 50 -44 32 -128 -41 118]] || || 37.146 || 100/99 169/168 225/224 245/243 || || 38 || <<6 5 3 17 -5 -6 -12 6 -30 -7 22 -30 37 -25 -80]] || || 37.435 || 45/44 49/48 65/64 126/125 || || 39 || <<3 -7 11 -1 7 -18 9 -12 0 45 22 42 -41 -21 28]] || || 37.666 || 45/44 65/64 78/77 245/243 || || 40 || <<1 4 -9 -13 -4 4 -17 -24 -10 -32 -44 -24 -5 22 34]] || || 37.680 || 56/55 65/64 81/80 105/104 || || 41 || <<7 9 13 4 29 -2 1 -18 20 5 -22 34 -34 33 86]] || || 38.025 || 56/55 100/99 105/104 245/243 || || 42 || <<2 -11 1 -7 -8 -22 -4 -18 -20 33 22 22 -23 -26 -2]] || || 38.389 || 45/44 49/48 78/77 896/891 || || 43 || <<3 -7 -8 -1 7 -18 -21 -12 0 1 22 42 25 49 28]] || || 38.573 || 45/44 56/55 65/64 1323/1280 || || 44 || <<8 13 23 10 25 2 14 -12 10 17 -22 10 -52 -15 50]] || || 39.090 || 56/55 78/77 100/99 729/715 || || 45 || <<8 13 4 10 6 2 -16 -12 -20 -27 -22 -34 14 2 -16]] || || 39.343 || 49/48 78/77 100/99 126/121 || || 46 || <<7 9 13 23 10 -2 1 12 -10 5 22 -10 19 -20 -50]] || || 39.653 || 45/44 91/88 126/125 147/143 ||
Original HTML content:
<html><head><title>List of 19et rank two temperaments by badness</title></head><body>Below are listed rank-two temperaments supported by the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/19edo">19edo</a> patent val, below the indicated cutoff in TE badness.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x5-limit temperaments with badness below 0.1"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit temperaments with badness below 0.1</h1>
Listed is the wedgie and the TE badness times 1000 for six temperaments with badness less than 0.1.<br />
<table class="wiki_table">
<tr>
<td>Rank<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Badness<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td><<1 4 4]]<br />
</td>
<td>Meantone<br />
</td>
<td>7.381<br />
</td>
<td>81/80<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<6 5 -6]]<br />
</td>
<td>Hanson<br />
</td>
<td>13.234<br />
</td>
<td>15625/15552<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<7 9 -2]]<br />
</td>
<td>Sensipent<br />
</td>
<td>35.22<br />
</td>
<td>78732/78125<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<5 1 -10]]<br />
</td>
<td>Magic<br />
</td>
<td>39.163<br />
</td>
<td>3125/3072<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<51 52 -36]]<br />
</td>
<td>Egads<br />
</td>
<td>41.819<br />
</td>
<td>|-36 -52 51><br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<13 14 -8]]<br />
</td>
<td>Parakleismic<br />
</td>
<td>43.279<br />
</td>
<td>1224440064/1220703125<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<19 19 -14]]<br />
</td>
<td>Enneadecal<br />
</td>
<td>47.845<br />
</td>
<td>19073486328125/19042491875328<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<4 -3 -14]]<br />
</td>
<td>Negri<br />
</td>
<td>86.856<br />
</td>
<td>16875/16384<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="x7-limit temperaments with badness below 0.06"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit temperaments with badness below 0.06</h1>
Listed is the wedgie and the TE badness times 1000 for 18 temperaments with badness less than 0.06.<br />
<table class="wiki_table">
<tr>
<td>Rank<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Badness<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td><<19 19 57 -14 37 79]]<br />
</td>
<td>Enneadecal<br />
</td>
<td>10.954<br />
</td>
<td>4375/4374 703125/702464<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<1 4 10 4 13 12]]<br />
</td>
<td>Meantone<br />
</td>
<td>13.707<br />
</td>
<td>81/80 126/125<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<5 1 12 -10 5 25]]<br />
</td>
<td>Magic<br />
</td>
<td>18.918<br />
</td>
<td>225/224 245/243<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<6 5 22 -6 18 37]]<br />
</td>
<td>Catakleismic<br />
</td>
<td>21.501<br />
</td>
<td>225/224 4375/4374<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<7 9 13 -2 1 5]]<br />
</td>
<td>Sensi<br />
</td>
<td>25.622<br />
</td>
<td>126/125 245/243<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<4 -3 2 -14 -8 13]]<br />
</td>
<td>Negri<br />
</td>
<td>26.483<br />
</td>
<td>49/48 225/224<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<2 8 1 8 -4 -20]]<br />
</td>
<td>Godzilla<br />
</td>
<td>26.747<br />
</td>
<td>49/48 81/80<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<6 5 3 -6 -12 -7]]<br />
</td>
<td>Keemun<br />
</td>
<td>27.408<br />
</td>
<td>49/48 126/125<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<13 14 35 -8 19 42]]<br />
</td>
<td>Parakleismic<br />
</td>
<td>27.431<br />
</td>
<td>3136/3125 4375/4374<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<1 4 -9 4 -17 -32]]<br />
</td>
<td>Flattone<br />
</td>
<td>38.553<br />
</td>
<td>81/80 525/512<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<8 13 23 2 14 17]]<br />
</td>
<td>Unicorn<br />
</td>
<td>40.913<br />
</td>
<td>126/125 10976/10935<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<3 12 11 12 9 -8]]<br />
</td>
<td>Liese<br />
</td>
<td>46.706<br />
</td>
<td>81/80 686/675<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td><<12 10 25 -12 6 30]]<br />
</td>
<td>Clyde<br />
</td>
<td>47.261<br />
</td>
<td>245/243 3136/3125<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td><<14 18 45 -4 32 54]]<br />
</td>
<td>Subpental<br />
</td>
<td>54.303<br />
</td>
<td>3136/3125 19683/19600<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td><<32 33 92 -22 56 121]]<br />
</td>
<td>Acrokleismic<br />
</td>
<td>56.184<br />
</td>
<td>4375/4374 2202927104/2197265625<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td><<5 1 -7 -10 -25 -19]]<br />
</td>
<td>Muggles<br />
</td>
<td>56.206<br />
</td>
<td>126/125 525/512<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td><<7 9 32 -2 31 49]]<br />
</td>
<td>Sensei<br />
</td>
<td>59.218<br />
</td>
<td>225/224 78732/78125<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td><<3 -7 -8 -18 -21 1]]<br />
</td>
<td>Triton<br />
</td>
<td>59.245<br />
</td>
<td>225/224 1029/1000<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="x11-limit temperaments with badness below 0.05"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit temperaments with badness below 0.05</h1>
Listed is the wedgie and the TE badness times 1000 for 2 temperaments with badness less than 0.05.<br />
<table class="wiki_table">
<tr>
<td>Rank<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Badness<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td><<5 1 12 -8 -10 5 -30 25 -22 -64]]<br />
</td>
<td>Magic<br />
</td>
<td>20.352<br />
</td>
<td>100/99 225/224 245/243<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<1 4 10 6 4 13 6 12 0 -18]]<br />
</td>
<td>Meanenneadecal<br />
</td>
<td>21.423<br />
</td>
<td>45/44 56/55 81/80<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<1 4 10 -13 4 13 -24 12 -44 -71]]<br />
</td>
<td>Meanpop<br />
</td>
<td>21.543<br />
</td>
<td>81/80 126/125 540/539<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<6 5 22 -21 -6 18 -54 37 -66 -135]]<br />
</td>
<td>Catakleismic<br />
</td>
<td>21.849<br />
</td>
<td>225/224 385/384 4375/4374<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<4 -3 2 5 -14 -8 -6 13 22 7]]<br />
</td>
<td>Negri<br />
</td>
<td>26.190<br />
</td>
<td>45/44 49/48 56/55<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 5 3 -2 -6 -12 -24 -7 -22 -16]]<br />
</td>
<td>Keemun<br />
</td>
<td>27.410<br />
</td>
<td>49/48 56/55 100/99<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 9 13 4 -2 1 -18 5 -22 -34]]<br />
</td>
<td>Sensis<br />
</td>
<td>28.680<br />
</td>
<td>56/55 100/99 245/243<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<2 8 1 12 8 -4 12 -20 0 30]]<br />
</td>
<td>Godzilla<br />
</td>
<td>28.947<br />
</td>
<td>45/44 49/48 81/80<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<1 4 -9 6 4 -17 6 -32 0 48]]<br />
</td>
<td>Flattone<br />
</td>
<td>33.839<br />
</td>
<td>45/44 81/80 385/384<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<2 8 1 -7 8 -4 -18 -20 -44 -23]]<br />
</td>
<td>Baragon<br />
</td>
<td>35.673<br />
</td>
<td>49/48 56/55 81/80<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<0 0 0 19 0 0 30 0 44 53]]<br />
</td>
<td>Undevigintone<br />
</td>
<td>36.387<br />
</td>
<td>49/48 81/80 126/125<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<32 33 92 -74 -22 56 -228 121 -286 -526]]<br />
</td>
<td>Acrokleismic<br />
</td>
<td>36.878<br />
</td>
<td>4375/4374 41503/41472 172032/171875<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td><<7 9 13 -15 -2 1 -48 5 -66 -87]]<br />
</td>
<td>Sensor<br />
</td>
<td>37.942<br />
</td>
<td>126/125 245/243 385/384<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td><<4 -3 2 -14 -14 -8 -36 13 -22 -46]]<br />
</td>
<td>Negril<br />
</td>
<td>38.679<br />
</td>
<td>49/48 100/99 225/224<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td><<8 13 23 -9 2 14 -42 17 -66 -105]]<br />
</td>
<td>Alicorn<br />
</td>
<td>39.156<br />
</td>
<td>126/125 540/539 896/891<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td><<5 1 12 11 -10 5 0 25 22 -11]]<br />
</td>
<td>Charisma<br />
</td>
<td>39.282<br />
</td>
<td>45/44 56/55 245/243<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td><<38 38 114 -95 -28 74 -282 158 -352 -661]]<br />
</td>
<td><br />
</td>
<td>39.701<br />
</td>
<td>4375/4374 41503/41472 703125/702464<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td><<6 5 3 17 -6 -12 6 -7 22 37]]<br />
</td>
<td><br />
</td>
<td>40.056<br />
</td>
<td>45/44 49/48 126/125<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td><<3 12 11 -1 12 9 -12 -8 -44 -41]]<br />
</td>
<td><br />
</td>
<td>40.7210<br />
</td>
<td>56/55 81/80 540/539<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td><<13 14 35 -17 -8 19 -72 42 -88 -169]]<br />
</td>
<td><br />
</td>
<td>41.720<br />
</td>
<td>540/539 896/891 3136/3125<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td><<19 19 57 -38 -14 37 -126 79 -154 -304]]<br />
</td>
<td><br />
</td>
<td>43.734<br />
</td>
<td>540/539 4375/4374 16384/16335<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td><<6 5 22 -2 -6 18 -24 37 -22 -82]]<br />
</td>
<td><br />
</td>
<td>44.3350<br />
</td>
<td>100/99 225/224 864/847<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td><<14 18 45 -30 -4 32 -96 54 -132 -240]]<br />
</td>
<td><br />
</td>
<td>45.352<br />
</td>
<td>540/539 3136/3125 8019/8<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td><<3 -7 -8 -1 -18 -21 -12 1 22 25]]<br />
</td>
<td><br />
</td>
<td>45.675<br />
</td>
<td>45/44 56/55 1029/1000<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td><<12 10 25 -23 -12 6 -78 30 -88 -151]]<br />
</td>
<td><br />
</td>
<td>47.417<br />
</td>
<td>245/243 385/384 3136/3125<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td><<5 1 -7 11 -10 -25 0 -19 22 55]]<br />
</td>
<td><br />
</td>
<td>48.038<br />
</td>
<td>45/44 126/125 385/384<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td><<2 8 20 -7 8 26 -18 24 -44 -89]]<br />
</td>
<td><br />
</td>
<td>49.303<br />
</td>
<td>81/80 126/125 864/847<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td><<13 14 35 -36 -8 19 -102 42 -132 -222]]<br />
</td>
<td><br />
</td>
<td>49.711<br />
</td>
<td>385/384 3136/3125 4375/4374<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="x13-limit temperaments with badness below 0.04"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit temperaments with badness below 0.04</h1>
Listed is the wedgie and the TE badness times 1000 for 46 temperaments with badness less than 0.04.<br />
<table class="wiki_table">
<tr>
<td>Rank<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Badness<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td><<6 5 22 -21 14 -6 18 -54 0 37 -66 14 -135 -42 126]]<br />
</td>
<td>Catakleismic<br />
</td>
<td>16.883<br />
</td>
<td>169/168 225/224 325/324 385/384<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<4 -3 2 5 3 -14 -8 -6 -10 13 22 18 7 1 -8]]<br />
</td>
<td>Negri<br />
</td>
<td>17.833<br />
</td>
<td>45/44 49/48 56/55 78/77<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<7 9 13 4 10 -2 1 -18 -10 5 -22 -10 -34 -20 20]]<br />
</td>
<td>Sensis<br />
</td>
<td>20.017<br />
</td>
<td>56/55 78/77 91/90 100/99<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<1 4 10 -13 15 4 13 -24 20 12 -44 20 -71 5 100]]<br />
</td>
<td>Meanpop<br />
</td>
<td>20.883<br />
</td>
<td>81/80 105/104 144/143 196/195<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<1 4 10 6 15 4 13 6 20 12 0 20 -18 5 30]]<br />
</td>
<td>Meanenneadecal<br />
</td>
<td>21.182<br />
</td>
<td>45/44 56/55 78/77 81/80<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<5 1 12 -8 18 -10 5 -30 10 25 -22 38 -64 6 92]]<br />
</td>
<td>Magic<br />
</td>
<td>21.509<br />
</td>
<td>100/99 105/104 144/143 196/195<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<1 4 -9 6 -4 4 -17 6 -10 -32 0 -24 48 22 -36]]<br />
</td>
<td>Flattone<br />
</td>
<td>22.260<br />
</td>
<td>45/44 65/64 78/77 81/80<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<2 8 1 12 11 8 -4 12 10 -20 0 -4 30 27 -6]]<br />
</td>
<td><br />
</td>
<td>22.503<br />
</td>
<td>45/44 49/48 78/77 81/80<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<6 5 3 -2 14 -6 -12 -24 0 -7 -22 14 -16 28 56]]<br />
</td>
<td>Keema<br />
</td>
<td>22.749<br />
</td>
<td>49/48 56/55 91/90 625/624<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<0 0 0 19 0 0 0 30 0 0 44 0 53 0 -70]]<br />
</td>
<td><br />
</td>
<td>22.933<br />
</td>
<td>49/48 65/64 81/80 91/90<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<8 13 23 -9 25 2 14 -42 10 17 -66 10 -105 -15 120]]<br />
</td>
<td>Alicorn<br />
</td>
<td>23.667<br />
</td>
<td>126/125 144/143 196/195 676/675<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<4 -3 2 -14 3 -14 -8 -36 -10 13 -22 18 -46 1 62]]<br />
</td>
<td>Negril<br />
</td>
<td>24.383<br />
</td>
<td>49/48 65/64 91/90 875/858<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td><<1 4 10 6 -4 4 13 6 -10 12 0 -24 -18 -48 -36]]<br />
</td>
<td><br />
</td>
<td>24.763<br />
</td>
<td>45/44 56/55 65/64 81/80<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td><<7 9 13 -15 10 -2 1 -48 -10 5 -66 -10 -87 -20 90]]<br />
</td>
<td>Sensor<br />
</td>
<td>25.575<br />
</td>
<td>91/90 126/125 169/168 385/384<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td><<5 1 12 -8 -1 -10 5 -30 -20 25 -22 -6 -64 -47 26]]<br />
</td>
<td><br />
</td>
<td>25.829<br />
</td>
<td>65/64 78/77 91/90 100/99<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td><<2 8 1 -7 11 8 -4 -18 10 -20 -44 -4 -23 27 64]]<br />
</td>
<td><br />
</td>
<td>26.703<br />
</td>
<td>49/48 56/55 81/80 91/90<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td><<3 12 11 -1 7 12 9 -12 0 -8 -44 -28 -41 -21 28]]<br />
</td>
<td><br />
</td>
<td>27.304<br />
</td>
<td>56/55 78/77 81/80 91/90<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td><<6 5 22 -2 14 -6 18 -24 0 37 -22 14 -82 -42 56]]<br />
</td>
<td><br />
</td>
<td>27.343<br />
</td>
<td>78/77 100/99 144/143 676/675<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td><<1 4 10 -13 -4 4 13 -24 -10 12 -44 -24 -71 -48 34]]<br />
</td>
<td><br />
</td>
<td>27.666<br />
</td>
<td>65/64 81/80 126/125 169/165<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td><<6 5 3 17 14 -6 -12 6 0 -7 22 14 37 28 -14]]<br />
</td>
<td><br />
</td>
<td>29.419<br />
</td>
<td>45/44 49/48 78/77 126/125<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td><<6 5 3 -2 -5 -6 -12 -24 -30 -7 -22 -30 -16 -25 -10]]<br />
</td>
<td><br />
</td>
<td>29.749<br />
</td>
<td>49/48 56/55 78/77 100/99<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td><<5 1 -7 11 -1 -10 -25 0 -20 -19 22 -6 55 23 -44]]<br />
</td>
<td><br />
</td>
<td>30.386<br />
</td>
<td>45/44 65/64 78/77 126/125<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td><<2 8 20 -7 11 8 26 -18 10 24 -44 -4 -89 -43 64]]<br />
</td>
<td><br />
</td>
<td>30.438<br />
</td>
<td>78/77 126/125 144/143 676/675<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td><<5 1 12 11 18 -10 5 0 10 25 22 38 -11 6 22]]<br />
</td>
<td><br />
</td>
<td>31.938<br />
</td>
<td>45/44 56/55 78/77 875/864<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td><<2 8 1 12 -8 8 -4 12 -20 -20 0 -48 30 -26 -72]]<br />
</td>
<td><br />
</td>
<td>32.878<br />
</td>
<td>45/44 49/48 65/64 81/80<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td><<12 10 25 -4 28 -12 6 -48 0 30 -44 28 -98 -14 112]]<br />
</td>
<td><br />
</td>
<td>32.989<br />
</td>
<td>100/99 144/143 196/195 2197/2187<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td><<5 1 12 11 -1 -10 5 0 -20 25 22 -6 -11 -47 -44]]<br />
</td>
<td><br />
</td>
<td>33.317<br />
</td>
<td>45/44 56/55 65/64 507/500<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td><<3 -7 -8 -1 -12 -18 -21 -12 -30 1 22 -2 25 -4 -38]]<br />
</td>
<td><br />
</td>
<td>33.858<br />
</td>
<td>45/44 56/55 78/77 507/500<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td><<11 6 15 -10 13 -16 -7 -54 -20 18 -44 8 -80 -19 82]]<br />
</td>
<td><br />
</td>
<td>34.295<br />
</td>
<td>91/90 100/99 169/168 385/384<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td><<1 4 -9 25 -4 4 -17 36 -10 -32 44 -24 101 22 -106]]<br />
</td>
<td><br />
</td>
<td>34.640<br />
</td>
<td>65/64 81/80 105/104 625/616<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td><<2 8 1 -7 -8 8 -4 -18 -20 -20 -44 -48 -23 -26 -2]]<br />
</td>
<td><br />
</td>
<td>35.063<br />
</td>
<td>49/48 56/55 65/64 81/80<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td><<5 1 -7 -8 -1 -10 -25 -30 -20 -19 -22 -6 2 23 26]]<br />
</td>
<td><br />
</td>
<td>35.188<br />
</td>
<td>56/55 65/64 100/99 105/104<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td><<0 0 0 0 19 0 0 0 30 0 0 44 0 53 66]]<br />
</td>
<td><br />
</td>
<td>35.286<br />
</td>
<td>45/44 49/48 56/55 81/80<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td><<13 14 35 -17 24 -8 19 -72 -10 42 -88 4 -169 -62 146]]<br />
</td>
<td><br />
</td>
<td>35.781<br />
</td>
<td>169/168 325/324 540/539 832/825<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td><<3 12 11 18 7 12 9 18 0 -8 0 -28 12 -21 -42]]<br />
</td>
<td><br />
</td>
<td>36.144<br />
</td>
<td>45/44 81/80 91/88 147/143<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td><<11 6 15 9 13 -16 -7 -24 -20 18 0 8 -27 -19 12]]<br />
</td>
<td><br />
</td>
<td>37.127<br />
</td>
<td>56/55 78/77 91/90 125/121<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td><<10 2 24 -16 17 -20 10 -60 -10 50 -44 32 -128 -41 118]]<br />
</td>
<td><br />
</td>
<td>37.146<br />
</td>
<td>100/99 169/168 225/224 245/243<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td><<6 5 3 17 -5 -6 -12 6 -30 -7 22 -30 37 -25 -80]]<br />
</td>
<td><br />
</td>
<td>37.435<br />
</td>
<td>45/44 49/48 65/64 126/125<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td><<3 -7 11 -1 7 -18 9 -12 0 45 22 42 -41 -21 28]]<br />
</td>
<td><br />
</td>
<td>37.666<br />
</td>
<td>45/44 65/64 78/77 245/243<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td><<1 4 -9 -13 -4 4 -17 -24 -10 -32 -44 -24 -5 22 34]]<br />
</td>
<td><br />
</td>
<td>37.680<br />
</td>
<td>56/55 65/64 81/80 105/104<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td><<7 9 13 4 29 -2 1 -18 20 5 -22 34 -34 33 86]]<br />
</td>
<td><br />
</td>
<td>38.025<br />
</td>
<td>56/55 100/99 105/104 245/243<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td><<2 -11 1 -7 -8 -22 -4 -18 -20 33 22 22 -23 -26 -2]]<br />
</td>
<td><br />
</td>
<td>38.389<br />
</td>
<td>45/44 49/48 78/77 896/891<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td><<3 -7 -8 -1 7 -18 -21 -12 0 1 22 42 25 49 28]]<br />
</td>
<td><br />
</td>
<td>38.573<br />
</td>
<td>45/44 56/55 65/64 1323/1280<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td><<8 13 23 10 25 2 14 -12 10 17 -22 10 -52 -15 50]]<br />
</td>
<td><br />
</td>
<td>39.090<br />
</td>
<td>56/55 78/77 100/99 729/715<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td><<8 13 4 10 6 2 -16 -12 -20 -27 -22 -34 14 2 -16]]<br />
</td>
<td><br />
</td>
<td>39.343<br />
</td>
<td>49/48 78/77 100/99 126/121<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td><<7 9 13 23 10 -2 1 12 -10 5 22 -10 19 -20 -50]]<br />
</td>
<td><br />
</td>
<td>39.653<br />
</td>
<td>45/44 91/88 126/125 147/143<br />
</td>
</tr>
</table>
</body></html>