5L 6s: Difference between revisions

Revision as of 03:18, 5 October 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author guest and made on 2012-10-05 03:18:54 UTC.

The original revision id was 370456426.

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, 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 || 691.2 ||=   ||
||   ||   ||   ||   ||   ||   || 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, 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>691.2<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>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-07-29 11:23:40 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-10-05 03:18:54 UTC</tt>.<br>
-: The original revision id was <tt>355308096</tt>.<br>
+: The original revision id was <tt>370456426</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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&lt;span style="vertical-align: sub;"&gt;Ag&lt;/span&gt; to 6-δ&lt;span style="vertical-align: sub;"&gt;Ag&lt;/span&gt;) 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.
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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, 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 ||=   ||
@@ Line 139: / Line 139: @@
 || 2/11 ||   ||   ||   ||   ||   ||   ||   || 654.__54__ ||=   ||</pre></div>
 <h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;5L 6s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This pattern, with a generator between 2\11 (218.&lt;u&gt;18&lt;/u&gt; 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&lt;span style="vertical-align: sub;"&gt;Ag&lt;/span&gt; to 6-δ&lt;span style="vertical-align: sub;"&gt;Ag&lt;/span&gt;) 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.&lt;br /&gt;
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;5L 6s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This pattern, with a generator between 2\11 (218.&lt;u&gt;18&lt;/u&gt; 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, 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.&lt;br /&gt;
 &lt;br /&gt;

5L 6s: Difference between revisions

Revision as of 03:18, 5 October 2012

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search