5L 6s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2012-07-29 11:23:02 UTC.
- The original revision id was 355307900.
- 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:
This pattern, with a generator between 2\11 (218.__18__ cents) and 1\5 (240), has multiple significant harmonic entropy minima, but they are all improper. The only saving grace for it is that is has harmonic entropy minima where the ratio between the large and small steps is optimal for melody (δ<span style="vertical-align: sub;">Ag</span> to 6-δ<span style="vertical-align: sub;">Ag</span>) and that the generator for these scales is less than 6 cents flat of 8/7. The saving grace of the more lopsided scales is that a syntonic fifth is three generators up from the root. || 1/5 || || || || || || || || 720 ||= || || || || || || || || || 9/46 || 704.34783 ||= || || || || || || || || 8/41 || || 702.__43902__ ||= || || || || || || || || || 15/77 || 701.2987 ||= || || || || || || || 7/36 || || || 700 ||= || || || || || || || || || 20/103 || 699.02913 ||= || || || || || || || || 13/67 || || 698.50746 ||= || || || || || || || || || 19/98 || 697.95918 ||= || || || || || || 6/31 || || || || 696.77419 ||= || || || || || || || || || 23/119 || 695.79832 ||= || || || || || || || || 17/88 || || 695.__45__ ||= || || || || || || || || || 28/145 || 695.17241 ||= || || || || || || || 11/57 || || || 694.73684 ||= || || || || || || || || || 27/140 || 694.28571 ||= || || || || || || || || 16/83 || || 693.9759 ||= || || || || || || || || || 21/109 || 693.57798 ||= || || || || || 5/26 || || || || || 692.30769 ||= || || || || || || || || || 24/125 || 631.2 ||= || || || || || || || || 19/99 || || 690.__90__ ||= || || || || || || || || || 33/172 || 690.69767 ||= || || || || || || || 14/73 || || || 690.41096 ||= || || || || || || || || || 37/193 || 690.15544 ||= || || || || || || || || 23/120 || || 690 ||= || || || || || || || || || 32/167 || 689.82036 ||= || || || || || || 9/47 || || || || 689.3617 ||= || || || || || || || || || 31/162 || 688.__8__ ||= || || || || || || || || 22/115 || || 688.69565 ||= || || || || || || || || || 35/183 || 688.52459 ||= || || || || || || || 13/68 || || || 688.23529 ||= || || || || || || || || || 30/157 || 687.89809 ||= || || || || || || || || 17/89 || || 687.64045 ||= || || || || || || || || || 21/110 || 687.__27__ ||= || || || || 4/21 || || || || || || 685.28571 ||= || || || || || || || || || 23/121 || 684.29752 ||= || || || || || || || || 19/100 || || 684 ||= || || || || || || || || || 34/179 || 683.79888 ||= || || || || || || || 15/79 || || || 683.5443 ||= || || || || || || || || || 41/216 || 683.__3__ ||= || || || || || || || || 26/137 || || 683.21168 ||= || || || || || || || || || 37/195 || 683.076923 ||= || || || || || || 11/58 || || || || 682.75862 ||= || || || || || || || || || 40/211 || 682.464455 ||= || || || || || || || || 29/153 || || 682.35294 ||= || || || || || || || || || 47/248 || 682.258605 ||= || || || || || || || 18/95 || || || 682.10526 ||= || || || || || || || || || 43/227 || 681.93833 ||= || || || || || || || || 25/132 || || 681.__81__ ||= || || || || || || || || || 32/169 || 681.656805 ||= || || || || || 7/37 || || || || || 681.__081__ ||= || || || || || || || || || 31/164 || 680.__48780__ ||= || || || || || || || || 24/127 || || 680.31496 ||= || || || || || || || || || 41/217 || 680.18433 ||= || || || || || || || 17/90 || || || 680 ||= || || || || || || || || || 44/233 || 679.82833 ||= || || || || || || || || 27/143 || || 679.72028 ||= || || || || || || || || || 37/196 || 679.59184 ||= || || || || || || 10/53 || || || || 679.24528 ||= || || || || || || || || || 33/175 || 678.85714 ||= || || || || || || || || 23/122 || || 678.68852 ||= || || || || || || || || || 36/191 || 678.53403 ||= || || || || || || || 13/69 || || || 678.26087 ||= || || || || || || || || || 29/154 || 677.92208 ||= || || || || || || || || 16/85 || || 677.64706 ||= || || || || || || || || || 19/101 || 677.__2277__ ||= || || || 3/16 || || || || || || || 675 ||= Boundary of propriety (smaller generators are proper) || || || || || || || || || 20/107 || 672.8972 ||= || || || || || || || || 17/91 || || 672.52747 ||= || || || || || || || || || 31/166 || 672.28916 ||= || || || || || || || 14/75 || || || 672 ||= || || || || || || || || || 39/209 || 671.770335 ||= || || || || || || || || 25/134 || || 671.64179 ||= || || || || || || || || || 36/193 || 671.50259 ||= || || || || || || 11/59 || || || || 671.18644 ||= || || || || || || || || || 41/220 || 670.__90__ ||= || || || || || || || || 30/161 || || 670.80745 ||= || || || || || || || || || 49/263 || 670.72243 ||= || || || || || || || 19/102 || || || 670.588235 ||= || || || || || || || || || 46/247 || 670.44534 ||= || || || || || || || || 27/145 || || 670.34483 ||= || || || || || || || || || 35/188 || 670.21277 ||= || || || || || 8/43 || || || || || 669.76744 ||= || || || || || || || || || 37/199 || 669.34673 ||= || || || || || || || || 29/156 || || 669.23077 ||= || || || || || || || || || 50/269 || 669.14498 ||= || || || || || || || 21/113 || || || 669.02655 ||= || || || || || || || || || 55/296 || 668.__918__ ||= || || || || || || || || 34/183 || || 668.85245 ||= || || || || || || || || || 47/253 || 668.7747 ||= || || || || || || 13/70 || || || || 668.57143 ||= || || || || || || || || || 44/237 || 668.35443 ||= || || || || || || || || 31/167 || || 668.26347 ||= || || || || || || || || || 49/264 || 668.__18__ ||= || || || || || || || 18/97 || || || 668.04124 ||= || || || || || || || || || 41/221 || 667.8733 ||= || || || || || || || || 23/124 || || 667.741935 ||= || || || || || || || || || 28/151 || 667.54967 ||= || || || || 5/27 || || || || || || 666.__6__ ||= || || || || || || || || || 27/146 || 665.75342 ||= || || || || || || || || 22/119 || || 665.54621 ||= || || || || || || || || || 39/211 || 665.40284 ||= || || || || || || || 17/92 || || || 665.21739 ||= || || || || || || || || || 46/249 || 665.06024 ||= || || || || || || || || 29/157 || || 664.96815 ||= || || || || || || || || || 41/222 || 664.__864__ ||= || || || || || || 12/65 || || || || 664.615385 ||= || || || || || || || || || 43/233 || 664.37768 ||= || || || || || || || || 31/168 || || 664.28571 ||= || || || || || || || || || 50/271 || 664.20664 ||= || || || || || || || 19/103 || || || 664.07767 ||= || || || || || || || || || 45/244 || 663.93443 ||= || || || || || || || || 26/141 || || 663.82979 ||= || || || || || || || || || 33/179 || 663.68715 ||= || || || || || 7/38 || || || || || 663.157895 ||= || || || || || || || || || 30/163 || 662.57669 ||= || || || || || || || || 23/125 || || 662.4 ||= || || || || || || || || || 39/212 || 662.26415 ||= || || || || || || || 16/87 || || || 662.06897 ||= || || || || || || || || || 41/223 || 661.88341 ||= || || || || || || || || 25/136 || || 661.76471 ||= || || || || || || || || || 34/185 || 661.__621__ ||= || || || || || || 9/49 || || || || 661.22449 ||= || || || || || || || || || 29/158 || 660.75949 ||= || || || || || || || || 20/109 || || 660.55046 ||= || || || || || || || || || 31/169 || 660.35503 ||= || || || || || || || 11/60 || || || 660 ||= || || || || || || || || || 24/131 || 659.541985 ||= || || || || || || || || 13/71 || || 659.15493 ||= || || || || || || || || || 15/82 || 658.536585 ||= || || 2/11 || || || || || || || || 654.__54__ ||= ||
Original HTML content:
<html><head><title>5L 6s</title></head><body>This pattern, with a generator between 2\11 (218.<u>18</u> cents) and 1\5 (240), has multiple significant harmonic entropy minima, but they are all improper. The only saving grace for it is that is has harmonic entropy minima where the ratio between the large and small steps is optimal for melody (δ<span style="vertical-align: sub;">Ag</span> to 6-δ<span style="vertical-align: sub;">Ag</span>) and that the generator for these scales is less than 6 cents flat of 8/7. The saving grace of the more lopsided scales is that a syntonic fifth is three generators up from the root.<br />
<br />
<table class="wiki_table">
<tr>
<td>1/5<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>720<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>9/46<br />
</td>
<td>704.34783<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8/41<br />
</td>
<td><br />
</td>
<td>702.<u>43902</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>15/77<br />
</td>
<td>701.2987<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7/36<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>700<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>20/103<br />
</td>
<td>699.02913<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/67<br />
</td>
<td><br />
</td>
<td>698.50746<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/98<br />
</td>
<td>697.95918<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>6/31<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>696.77419<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/119<br />
</td>
<td>695.79832<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/88<br />
</td>
<td><br />
</td>
<td>695.<u>45</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>28/145<br />
</td>
<td>695.17241<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>11/57<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>694.73684<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>27/140<br />
</td>
<td>694.28571<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>16/83<br />
</td>
<td><br />
</td>
<td>693.9759<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>21/109<br />
</td>
<td>693.57798<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5/26<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>692.30769<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>24/125<br />
</td>
<td>631.2<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/99<br />
</td>
<td><br />
</td>
<td>690.<u>90</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>33/172<br />
</td>
<td>690.69767<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>14/73<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>690.41096<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>37/193<br />
</td>
<td>690.15544<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/120<br />
</td>
<td><br />
</td>
<td>690<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>32/167<br />
</td>
<td>689.82036<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>9/47<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>689.3617<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>31/162<br />
</td>
<td>688.<u>8</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>22/115<br />
</td>
<td><br />
</td>
<td>688.69565<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>35/183<br />
</td>
<td>688.52459<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/68<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>688.23529<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>30/157<br />
</td>
<td>687.89809<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/89<br />
</td>
<td><br />
</td>
<td>687.64045<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>21/110<br />
</td>
<td>687.<u>27</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>4/21<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>685.28571<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/121<br />
</td>
<td>684.29752<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/100<br />
</td>
<td><br />
</td>
<td>684<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>34/179<br />
</td>
<td>683.79888<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>15/79<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>683.5443<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/216<br />
</td>
<td>683.<u>3</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>26/137<br />
</td>
<td><br />
</td>
<td>683.21168<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>37/195<br />
</td>
<td>683.076923<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>11/58<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>682.75862<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>40/211<br />
</td>
<td>682.464455<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>29/153<br />
</td>
<td><br />
</td>
<td>682.35294<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>47/248<br />
</td>
<td>682.258605<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>18/95<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>682.10526<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>43/227<br />
</td>
<td>681.93833<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>25/132<br />
</td>
<td><br />
</td>
<td>681.<u>81</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>32/169<br />
</td>
<td>681.656805<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7/37<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>681.<u>081</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>31/164<br />
</td>
<td>680.<u>48780</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>24/127<br />
</td>
<td><br />
</td>
<td>680.31496<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/217<br />
</td>
<td>680.18433<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/90<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>680<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>44/233<br />
</td>
<td>679.82833<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>27/143<br />
</td>
<td><br />
</td>
<td>679.72028<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>37/196<br />
</td>
<td>679.59184<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>10/53<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>679.24528<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>33/175<br />
</td>
<td>678.85714<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/122<br />
</td>
<td><br />
</td>
<td>678.68852<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>36/191<br />
</td>
<td>678.53403<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/69<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>678.26087<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>29/154<br />
</td>
<td>677.92208<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>16/85<br />
</td>
<td><br />
</td>
<td>677.64706<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/101<br />
</td>
<td>677.<u>2277</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3/16<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>675<br />
</td>
<td style="text-align: center;">Boundary of propriety<br />
(smaller generators are proper)<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>20/107<br />
</td>
<td>672.8972<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/91<br />
</td>
<td><br />
</td>
<td>672.52747<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>31/166<br />
</td>
<td>672.28916<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>14/75<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>672<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>39/209<br />
</td>
<td>671.770335<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>25/134<br />
</td>
<td><br />
</td>
<td>671.64179<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>36/193<br />
</td>
<td>671.50259<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>11/59<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>671.18644<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/220<br />
</td>
<td>670.<u>90</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>30/161<br />
</td>
<td><br />
</td>
<td>670.80745<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>49/263<br />
</td>
<td>670.72243<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/102<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>670.588235<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>46/247<br />
</td>
<td>670.44534<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>27/145<br />
</td>
<td><br />
</td>
<td>670.34483<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>35/188<br />
</td>
<td>670.21277<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8/43<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>669.76744<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>37/199<br />
</td>
<td>669.34673<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>29/156<br />
</td>
<td><br />
</td>
<td>669.23077<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>50/269<br />
</td>
<td>669.14498<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>21/113<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>669.02655<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>55/296<br />
</td>
<td>668.<u>918</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>34/183<br />
</td>
<td><br />
</td>
<td>668.85245<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>47/253<br />
</td>
<td>668.7747<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/70<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>668.57143<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>44/237<br />
</td>
<td>668.35443<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>31/167<br />
</td>
<td><br />
</td>
<td>668.26347<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>49/264<br />
</td>
<td>668.<u>18</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>18/97<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>668.04124<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/221<br />
</td>
<td>667.8733<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/124<br />
</td>
<td><br />
</td>
<td>667.741935<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>28/151<br />
</td>
<td>667.54967<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>5/27<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>666.<u>6</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>27/146<br />
</td>
<td>665.75342<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>22/119<br />
</td>
<td><br />
</td>
<td>665.54621<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>39/211<br />
</td>
<td>665.40284<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/92<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>665.21739<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>46/249<br />
</td>
<td>665.06024<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>29/157<br />
</td>
<td><br />
</td>
<td>664.96815<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/222<br />
</td>
<td>664.<u>864</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>12/65<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>664.615385<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>43/233<br />
</td>
<td>664.37768<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>31/168<br />
</td>
<td><br />
</td>
<td>664.28571<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>50/271<br />
</td>
<td>664.20664<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/103<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>664.07767<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>45/244<br />
</td>
<td>663.93443<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>26/141<br />
</td>
<td><br />
</td>
<td>663.82979<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>33/179<br />
</td>
<td>663.68715<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7/38<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>663.157895<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>30/163<br />
</td>
<td>662.57669<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/125<br />
</td>
<td><br />
</td>
<td>662.4<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>39/212<br />
</td>
<td>662.26415<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>16/87<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>662.06897<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/223<br />
</td>
<td>661.88341<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>25/136<br />
</td>
<td><br />
</td>
<td>661.76471<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>34/185<br />
</td>
<td>661.<u>621</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>9/49<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>661.22449<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>29/158<br />
</td>
<td>660.75949<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>20/109<br />
</td>
<td><br />
</td>
<td>660.55046<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>31/169<br />
</td>
<td>660.35503<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>11/60<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>660<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>24/131<br />
</td>
<td>659.541985<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/71<br />
</td>
<td><br />
</td>
<td>659.15493<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>15/82<br />
</td>
<td>658.536585<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td>2/11<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>654.<u>54</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>