3L 10s
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 2012-06-07 10:24:17 UTC.
- The original revision id was 343530772.
- 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 scale, though it belongs to magic and würschmidt temperaments, is functionally identical to a compromise between the meantone/superpyth diatonic and chromatic scales. However, meantone and superpyth chords are slightly more complex and less accurate because 3125/3072, which is nearly 1/41 of the octave, is tempered out instead of 81/80 or 64/63. As a magic scale, it is uneven enough to fall within the region of optimal melodic tunings for magic[13] (L:s = sqrt(6) to 6-sqrt(6)). Because of this property, magic[13] is a good 19 tone mode for people who want to explore new sounds without having to give up using strongly harmonic fifths (3/2 +/- ~cbrt(145/143)) for building consonant chords. Of course, magic[13] is still slightly improper and würschmidt[13] is almost totally lopsided (L:s = 6:1 to 8:1). Even so, the excellence of magic temperament as a fit for 13 tone per octave melodic scales and its close affinity to strongly harmonic fifth temperaments make up for the roughness of the major third that 13 tone circles favor multiple times over. || 1/3 || || || || || || || || 800 ||= || || || || || || || || || 11/34 || 741.17647 ||= || || || || || || || || 10/31 || || 735.48387 ||= || || || || || || || || || 19/59 || 732.20339 ||= || || || || || || || 9/28 || || || 728.57143 ||= || || || || || || || || || 26/81 || 725.__925__ ||= || || || || || || || || 17/53 || || [[tel/724.5283|724.5283]] ||= || || || || || || || || || 25/78 || 723.07692 ||= || || || || || || 8/25 || || || || 720 ||= || || || || || || || || || 31/97 || 717.52577 ||= || || || || || || || || 23/72 || || 716.__6__ ||= || || || || || || || || || 38/119 || 715.96639 ||= || || || || || || || 15/47 || || || 714.89362 ||= || || || || || || || || || 37/116 || 713.93103 ||= || || || || || || || || 22/69 || || 713.04348 ||= || || || || || || || || || 29/91 || 712.08791 ||= || || || || || 7/22 || || || || || 709.__09__ ||= || || || || || || || || || 34/107 || 706.54206 ||= || || || || || || || || 27/85 || || 705.88235 ||= || || || || || || || || || 47/148 || 705.__405__ ||= || || || || || || || 20/63 || || || 704.761905 ||= || || || || || || || || || 53/167 || 704.19162 ||= || || || || || || || || 33/104 || || 703.84615 ||= || || || || || || || || || 46/145 || 703.44828 ||= || || || || || || 13/41 || || || || 702.__43902__ ||= || || || || || || || || || 45/142 || 701.40845 ||= || || || || || || || || 32/101 || || 700.__9900__ ||= || || || || || || || || || 51/161 || 700.62112 ||= || || || || || || || 19/60 || || || 700 ||= Optimal patent val for 5-limit magic || || || || || || || || || 44/139 || 699.28058 ||= || || || || || || || || 25/79 || || 698.73418 ||= || || || || || || || || || 31/98 || 697.95918 ||= || || || || 6/19 || || || || || || 694.73684 ||= || || || || || || || || || 35/111 || 691.__891__ ||= || || || || || || || || 29/92 || || 691.30435 ||= || || || || || || || || || 52/165 || 690.__90__ ||= || || || || || || || 23/73 || || || 690.41096 ||= || || || || || || || || || 63/200 || 690 ||= || || || || || || || || 40/127 || || 689.76378 ||= || || || || || || || || || 57/181 || 689.50276 ||= || || || || || || 17/54 || || || || 688.__8__ ||= || || || || || || || || || 62/197 || 688.32487 ||= || || || || || || || || 45/143 || || 688.11189 ||= || || || || || || || || || 73/232 || 687.93103 ||= || || || || || || || 28/89 || || || 687.64045 ||= || || || || || || || || || 67/213 || 687.32394 ||= || || || || || || || || 39/124 || || 687.09677 ||= || || || || || || || || || 50/159 || 686.79245 ||= || || || || || 11/35 || || || || || 685.__714285__ ||= || || || || || || || || || 49/156 || 684.615385 ||= || || || || || || || || 38/121 || || 684.29752 ||= || || || || || || || || || 65/207 || 684.05797 ||= || || || || || || || 27/86 || || || 683.72093 ||= || || || || || || || || || 70/223 || 683.40807 ||= || || || || || || || || 43/137 || || 683.21168 ||= || || || || || || || || || 59/188 || 682.97872 ||= || || || || || || 16/51 || || || || 682.35294 ||= || || || || || || || || || 53/169 || 681.65681 ||= || || || || || || || || 37/118 || || 681.35593 ||= || || || || || || || || || 58/185 || 681.__081__ ||= || || || || || || || 21/67 || || || 680.597015 ||= || || || || || || || || || 47/150 || 680 ||= || || || || || || || || 26/83 || || 679.51807 ||= || || || || || || || || || 31/99 || 678.__78__ ||= || || || 5/16 || || || || || || || 675 ||= Boundary of propriety (Smaller generators are proper) || || || || || || || || || 34/109 || 671.55963 ||= || || || || || || || || 29/93 || || 670.96774 ||= || || || || || || || || || 53/170 || 670.588235 ||= || || || || || || || 24/77 || || || 670.12987 ||= || || || || || || || || || 67/215 || 669.76744 ||= || || || || || || || || 43/138 || || 669.56522 ||= || || || || || || || || || 62/199 || 669.34673 ||= || || || || || || 19/61 || || || || 668.52459 ||= || || || || || || || || || 71/228 || 668.41205 ||= || || || || || || || || 52/167 || || 668.26347 ||= || || || || || || || || || 85/273 || 668.13187 ||= || || || || || || || 33/106 || || || 667.92452 ||= || || || || || || || || || 80/257 || 667.70428 ||= || || || || || || || || 47/151 || || 667.54967 ||= || || || || || || || || || 61/196 || 667.34694 || || || || || || 14/45 || || || || || 666.__6__ ||= || || || || || || || || || 65/209 || 666.02871 || || || || || || || || || 51/164 || || 665.__85365__ ||= || || || || || || || || || 88/283 || 665.72438 || || || || || || || || 37/119 || || || 665.54622 ||= || || || || || || || || || 97/312 || 665.384615 || || || || || || || || || 60/193 || || 665.28497 ||= || || || || || || || || || 83/267 || 665.16854 || || || || || || || 23/74 || || || || 664.__864__ ||= || || || || || || || || || 78/251 || 664.54183 || || || || || || || || || 55/177 || || 664.40678 ||= || || || || || || || || || 87/280 || 664.28571 || || || || || || || || 32/103 || || || 664.07767 ||= || || || || || || || || || 73/235 || 663.82979 || || || || || || || || || 41/132 || || 663.__63__ ||= || || || || || || || || || 50/161 || 663.35404 || || || || || 9/29 || || || || || || 662.068965 ||= || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || || 13/42 || || || || || 657.14286 ||= || || 4/13 || || || || || || || || 646.15385 ||= ||
Original HTML content:
<html><head><title>3L 10s</title></head><body>This scale, though it belongs to magic and würschmidt temperaments, is functionally identical to a compromise between the meantone/superpyth diatonic and chromatic scales. However, meantone and superpyth chords are slightly more complex and less accurate because 3125/3072, which is nearly 1/41 of the octave, is tempered out instead of 81/80 or 64/63. As a magic scale, it is uneven enough to fall within the region of optimal melodic tunings for magic[13] (L:s = sqrt(6) to 6-sqrt(6)). Because of this property, magic[13] is a good 19 tone mode for people who want to explore new sounds without having to give up using strongly harmonic fifths (3/2 +/- ~cbrt(145/143)) for building consonant chords.<br />
<br />
Of course, magic[13] is still slightly improper and würschmidt[13] is almost totally lopsided (L:s = 6:1 to 8:1). Even so, the excellence of magic temperament as a fit for 13 tone per octave melodic scales and its close affinity to strongly harmonic fifth temperaments make up for the roughness of the major third that 13 tone circles favor multiple times over.<br />
<br />
<table class="wiki_table">
<tr>
<td>1/3<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>800<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>11/34<br />
</td>
<td>741.17647<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>10/31<br />
</td>
<td><br />
</td>
<td>735.48387<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>19/59<br />
</td>
<td>732.20339<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>9/28<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>728.57143<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>26/81<br />
</td>
<td>725.<u>925</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>17/53<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/724.5283">724.5283</a><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>25/78<br />
</td>
<td>723.07692<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8/25<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>31/97<br />
</td>
<td>717.52577<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>23/72<br />
</td>
<td><br />
</td>
<td>716.<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>38/119<br />
</td>
<td>715.96639<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>15/47<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>714.89362<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>37/116<br />
</td>
<td>713.93103<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>22/69<br />
</td>
<td><br />
</td>
<td>713.04348<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>29/91<br />
</td>
<td>712.08791<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7/22<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>709.<u>09</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>34/107<br />
</td>
<td>706.54206<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>27/85<br />
</td>
<td><br />
</td>
<td>705.88235<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>47/148<br />
</td>
<td>705.<u>405</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>20/63<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>704.761905<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>53/167<br />
</td>
<td>704.19162<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>33/104<br />
</td>
<td><br />
</td>
<td>703.84615<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>46/145<br />
</td>
<td>703.44828<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/41<br />
</td>
<td><br />
</td>
<td><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>45/142<br />
</td>
<td>701.40845<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>32/101<br />
</td>
<td><br />
</td>
<td>700.<u>9900</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>51/161<br />
</td>
<td>700.62112<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>19/60<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>700<br />
</td>
<td style="text-align: center;">Optimal patent val for 5-limit magic<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>44/139<br />
</td>
<td>699.28058<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>25/79<br />
</td>
<td><br />
</td>
<td>698.73418<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>31/98<br />
</td>
<td>697.95918<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>6/19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><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>35/111<br />
</td>
<td>691.<u>891</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>29/92<br />
</td>
<td><br />
</td>
<td>691.30435<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>52/165<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>23/73<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>63/200<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>40/127<br />
</td>
<td><br />
</td>
<td>689.76378<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>57/181<br />
</td>
<td>689.50276<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/54<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><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><br />
</td>
<td>62/197<br />
</td>
<td>688.32487<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>45/143<br />
</td>
<td><br />
</td>
<td>688.11189<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>73/232<br />
</td>
<td>687.93103<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>28/89<br />
</td>
<td><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>67/213<br />
</td>
<td>687.32394<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>39/124<br />
</td>
<td><br />
</td>
<td>687.09677<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>50/159<br />
</td>
<td>686.79245<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>11/35<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>685.<u>714285</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>49/156<br />
</td>
<td>684.615385<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>38/121<br />
</td>
<td><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><br />
</td>
<td>65/207<br />
</td>
<td>684.05797<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>27/86<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>683.72093<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>70/223<br />
</td>
<td>683.40807<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>43/137<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>59/188<br />
</td>
<td>682.97872<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>16/51<br />
</td>
<td><br />
</td>
<td><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>53/169<br />
</td>
<td>681.65681<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>37/118<br />
</td>
<td><br />
</td>
<td>681.35593<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>58/185<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>21/67<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>680.597015<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>47/150<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>26/83<br />
</td>
<td><br />
</td>
<td>679.51807<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>31/99<br />
</td>
<td>678.<u>78</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>5/16<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>34/109<br />
</td>
<td>671.55963<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>29/93<br />
</td>
<td><br />
</td>
<td>670.96774<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>53/170<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>24/77<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>670.12987<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>67/215<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>43/138<br />
</td>
<td><br />
</td>
<td>669.56522<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>62/199<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>19/61<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>668.52459<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><br />
</td>
<td><br />
</td>
<td>71/228<br />
</td>
<td>668.41205<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>52/167<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>85/273<br />
</td>
<td>668.13187<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>33/106<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>667.92452<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>80/257<br />
</td>
<td>667.70428<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>47/151<br />
</td>
<td><br />
</td>
<td>667.54967<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>61/196<br />
</td>
<td>667.34694<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>14/45<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>65/209<br />
</td>
<td>666.02871<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>51/164<br />
</td>
<td><br />
</td>
<td>665.<u>85365</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>88/283<br />
</td>
<td>665.72438<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>37/119<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>665.54622<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>97/312<br />
</td>
<td>665.384615<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>60/193<br />
</td>
<td><br />
</td>
<td>665.28497<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>83/267<br />
</td>
<td>665.16854<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/74<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><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><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>78/251<br />
</td>
<td>664.54183<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>55/177<br />
</td>
<td><br />
</td>
<td>664.40678<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>87/280<br />
</td>
<td>664.28571<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>32/103<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>73/235<br />
</td>
<td>663.82979<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/132<br />
</td>
<td><br />
</td>
<td>663.<u>63</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>50/161<br />
</td>
<td>663.35404<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>9/29<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>662.068965<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><br />
</td>
<td><br />
</td>
<td><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><br />
</td>
<td><br />
</td>
<td><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><br />
</td>
<td><br />
</td>
<td><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><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/42<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>657.14286<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td>4/13<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>646.15385<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>