4L 8s: Difference between revisions

Revision as of 16:21, 10 November 2015

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 2015-11-10 16:21:05 UTC.

The original revision id was 565957179.

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 is the minor chromatic scale of Diminished temperament. Its period of 300¢ (~6:5) is divided into L s s, making a universally proper scale, but the harmonic entropy minimum for it is not particularly low.
|| 0/4 ||   ||   || 0 ||
|| 1/28 ||   ||   || 42.857 ||
||   || 6/164 ||   || 43.902 ||
||   || 5/136 ||   || 44.118 ||
||   || 4/108 ||   || 44.449 ||
||   || 3/80 ||   || 45 ||
||   || 2/52 ||   || 46.154 ||
||   || 3/76 ||   || 47.368 ||
||   || 4/100 ||   || 48 ||
||   || 5/124 ||   || 48.387 ||
||   || 6/148 ||   || 48.649 ||
||   || 7/172 ||   || 48.837 ||
||   || 8/196 ||   || 48.98 ||
||   || 9/220 ||   || 49.091 ||
|| 1/24 ||   ||   || 50 ||
||   || 5/116 ||   || 51.724 ||
||   || 4/92 ||   || 52.174 ||
||   || 3/68 ||   || 52.941 ||
||   || 2/44 ||   || 54.5455 ||
||   ||   || 5/108 || 55.556 ||
||   || 3/64 ||   || 56.25 ||
||   || 4/84 ||   || 57.143 ||
||   || 5/104 ||   || 57.692 ||
||   || 6/124 ||   || 58.0645 ||
||   || 7/144 ||   || 58.333 ||
||   || 8/164 ||   || 58.537 ||
||   || 9/184 ||   || 58.696 ||
||   || 10/204 ||   || 58.8235 ||
||   || 11/224 ||   || 58.929 ||
||   || 12/244 ||   || 59.016 ||
||   ||   ||   || 300/(2+pi) ||
|| 1/20 ||   ||   || 60 ||
||   ||   ||   || 300/(2+e) ||
||   || 7/136 ||   || 61.765 ||
||   || 6/116 ||   || 62.069 ||
||   || 5/96 ||   || 62.5 ||
||   || 4/76 ||   || 63.158 ||
||   || 3/56 ||   || 64.286 ||
||   ||   ||   || 300/(3+phi) ||
||   ||   || 5/92 || 65.217 ||
||   || 2/36 ||   || 66.667 ||
||   ||   || 7/124 || 67.742 ||
||   ||   || 5/88 || 68.<span style="line-height: 1.5;">182</span> ||
||   || 3/52 ||   || 69.4615 ||
||   || 4/68 ||   || 70.588 ||
||   || 5/84 ||   || 71.429 ||
||   || 6/100 ||   || 72 ||
||   || 7/116 ||   || 72.414 ||
||   || 8/132 ||   || 72.727 ||
||   || 9/148 ||   || 72.973 ||
||   || 10/164 ||   || 73.146 ||
||   || 11/180 ||   || 73.333 ||
||   || 12/196 ||   || 73.49 ||
||   || 13/212 ||   || 73.585 ||
||   || 14/228 ||   || 73.684 ||
||   || 15/244 ||   || 73.7705 ||
||   || 16/260 ||   || 73.864 ||
||   || 17/276 ||   || 73.913 ||
||   || 18/292 ||   || 73.973 ||
||   || 19/308 ||   || 74.026 ||
|| 1/16 ||   ||   || 75 ||
||   || 10/156 ||   || 76.923 ||
||   || 9/140 ||   || 77.143 ||
||   || 8/124 ||   || 77.419 ||
||   || 7/108 ||   || 77.778 ||
||   || 6/92 ||   || 78.261 ||
||   || 5/76 ||   || 78.947 ||
||   ||   || 9/136 || 79.412 ||
||   || 4/60 ||   || 80 ||
||   ||   ||   || 300/(2+sqrt(3)) ||
||   ||   || 7/104 || 80.769 ||
||   || 3/44 ||   || 81.818 ||
||   ||   || 8/116 || 82,759 ||
||   ||   ||   || 300/(2+hpi) ||
||   || 5/72 ||   || 83.333 ||
||   ||   ||   || 300/(2+pi/2) ||
||   ||   || 12/172 || 83.721 ||
||   || 7/100 ||   || 84 ||
|| 2/28 ||   ||   || 85.714 ||
||   || 11/152 ||   || 86.842 ||
||   || 9/124 ||   || 87.097 ||
||   || 7/96 ||   || 87.5 ||
||   || 5/68 ||   || 88.235 ||
||   || 8/108 ||   || 88.889 ||
||   || 11/148 ||   || 89.096 ||
|| 3/40 ||   ||   || 90 ||
||   || 7/92 ||   || 91.304 ||
|| 4/52 ||   ||   || 92.308 ||
|| 1/12 ||   ||   || 100 ||

Original HTML content:

<html><head><title>4L 8s</title></head><body>This is the minor chromatic scale of Diminished temperament. Its period of 300¢ (~6:5) is divided into L s s, making a universally proper scale, but the harmonic entropy minimum for it is not particularly low.<br />


<table class="wiki_table">
    <tr>
        <td>0/4<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td>1/28<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>42.857<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/164<br />
</td>
        <td><br />
</td>
        <td>43.902<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/136<br />
</td>
        <td><br />
</td>
        <td>44.118<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/108<br />
</td>
        <td><br />
</td>
        <td>44.449<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/80<br />
</td>
        <td><br />
</td>
        <td>45<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2/52<br />
</td>
        <td><br />
</td>
        <td>46.154<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/76<br />
</td>
        <td><br />
</td>
        <td>47.368<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/100<br />
</td>
        <td><br />
</td>
        <td>48<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/124<br />
</td>
        <td><br />
</td>
        <td>48.387<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/148<br />
</td>
        <td><br />
</td>
        <td>48.649<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/172<br />
</td>
        <td><br />
</td>
        <td>48.837<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8/196<br />
</td>
        <td><br />
</td>
        <td>48.98<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/220<br />
</td>
        <td><br />
</td>
        <td>49.091<br />
</td>
    </tr>
    <tr>
        <td>1/24<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>50<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/116<br />
</td>
        <td><br />
</td>
        <td>51.724<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/92<br />
</td>
        <td><br />
</td>
        <td>52.174<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/68<br />
</td>
        <td><br />
</td>
        <td>52.941<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2/44<br />
</td>
        <td><br />
</td>
        <td>54.5455<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/108<br />
</td>
        <td>55.556<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/64<br />
</td>
        <td><br />
</td>
        <td>56.25<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/84<br />
</td>
        <td><br />
</td>
        <td>57.143<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/104<br />
</td>
        <td><br />
</td>
        <td>57.692<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/124<br />
</td>
        <td><br />
</td>
        <td>58.0645<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/144<br />
</td>
        <td><br />
</td>
        <td>58.333<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8/164<br />
</td>
        <td><br />
</td>
        <td>58.537<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/184<br />
</td>
        <td><br />
</td>
        <td>58.696<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>10/204<br />
</td>
        <td><br />
</td>
        <td>58.8235<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>11/224<br />
</td>
        <td><br />
</td>
        <td>58.929<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>12/244<br />
</td>
        <td><br />
</td>
        <td>59.016<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300/(2+pi)<br />
</td>
    </tr>
    <tr>
        <td>1/20<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>60<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300/(2+e)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/136<br />
</td>
        <td><br />
</td>
        <td>61.765<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/116<br />
</td>
        <td><br />
</td>
        <td>62.069<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/96<br />
</td>
        <td><br />
</td>
        <td>62.5<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/76<br />
</td>
        <td><br />
</td>
        <td>63.158<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/56<br />
</td>
        <td><br />
</td>
        <td>64.286<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300/(3+phi)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/92<br />
</td>
        <td>65.217<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2/36<br />
</td>
        <td><br />
</td>
        <td>66.667<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/124<br />
</td>
        <td>67.742<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/88<br />
</td>
        <td>68.<span style="line-height: 1.5;">182</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/52<br />
</td>
        <td><br />
</td>
        <td>69.4615<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/68<br />
</td>
        <td><br />
</td>
        <td>70.588<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/84<br />
</td>
        <td><br />
</td>
        <td>71.429<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/100<br />
</td>
        <td><br />
</td>
        <td>72<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/116<br />
</td>
        <td><br />
</td>
        <td>72.414<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8/132<br />
</td>
        <td><br />
</td>
        <td>72.727<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/148<br />
</td>
        <td><br />
</td>
        <td>72.973<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>10/164<br />
</td>
        <td><br />
</td>
        <td>73.146<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>11/180<br />
</td>
        <td><br />
</td>
        <td>73.333<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>12/196<br />
</td>
        <td><br />
</td>
        <td>73.49<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>13/212<br />
</td>
        <td><br />
</td>
        <td>73.585<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>14/228<br />
</td>
        <td><br />
</td>
        <td>73.684<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>15/244<br />
</td>
        <td><br />
</td>
        <td>73.7705<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>16/260<br />
</td>
        <td><br />
</td>
        <td>73.864<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>17/276<br />
</td>
        <td><br />
</td>
        <td>73.913<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>18/292<br />
</td>
        <td><br />
</td>
        <td>73.973<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>19/308<br />
</td>
        <td><br />
</td>
        <td>74.026<br />
</td>
    </tr>
    <tr>
        <td>1/16<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>75<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>10/156<br />
</td>
        <td><br />
</td>
        <td>76.923<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/140<br />
</td>
        <td><br />
</td>
        <td>77.143<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8/124<br />
</td>
        <td><br />
</td>
        <td>77.419<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/108<br />
</td>
        <td><br />
</td>
        <td>77.778<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/92<br />
</td>
        <td><br />
</td>
        <td>78.261<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/76<br />
</td>
        <td><br />
</td>
        <td>78.947<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>9/136<br />
</td>
        <td>79.412<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/60<br />
</td>
        <td><br />
</td>
        <td>80<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300/(2+sqrt(3))<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/104<br />
</td>
        <td>80.769<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/44<br />
</td>
        <td><br />
</td>
        <td>81.818<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>8/116<br />
</td>
        <td>82,759<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300/(2+hpi)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/72<br />
</td>
        <td><br />
</td>
        <td>83.333<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300/(2+pi/2)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>12/172<br />
</td>
        <td>83.721<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/100<br />
</td>
        <td><br />
</td>
        <td>84<br />
</td>
    </tr>
    <tr>
        <td>2/28<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>85.714<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>11/152<br />
</td>
        <td><br />
</td>
        <td>86.842<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/124<br />
</td>
        <td><br />
</td>
        <td>87.097<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/96<br />
</td>
        <td><br />
</td>
        <td>87.5<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/68<br />
</td>
        <td><br />
</td>
        <td>88.235<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8/108<br />
</td>
        <td><br />
</td>
        <td>88.889<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>11/148<br />
</td>
        <td><br />
</td>
        <td>89.096<br />
</td>
    </tr>
    <tr>
        <td>3/40<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>90<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/92<br />
</td>
        <td><br />
</td>
        <td>91.304<br />
</td>
    </tr>
    <tr>
        <td>4/52<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>92.308<br />
</td>
    </tr>
    <tr>
        <td>1/12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<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>2015-05-23 17:16:08 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-10 16:21:05 UTC</tt>.<br>
-: The original revision id was <tt>551976718</tt>.<br>
+: The original revision id was <tt>565957179</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>
@@ Line 8: / Line 8: @@
 <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 is the minor chromatic scale of Diminished temperament. Its period of 300¢ (~6:5) is divided into L s s, making a universally proper scale, but the harmonic entropy minimum for it is not particularly low.
 || 0/4 ||   ||   || 0 ||
-|| 1/28 ||   ||   || 42 6/7 ||
+|| 1/28 ||   ||   || 42.857 ||
-||   || 6/164 ||   || 43 37/41 ||
+||   || 6/164 ||   || 43.902 ||
-||   || 5/136 ||   || 44 2/17 ||
+||   || 5/136 ||   || 44.118 ||
-||   || 4/108 ||   || 44 4/9 ||
+||   || 4/108 ||   || 44.449 ||
 ||   || 3/80 ||   || 45 ||
-||   || 2/52 ||   || 46 2/13 ||
+||   || 2/52 ||   || 46.154 ||
-||   || 3/76 ||   || 47 7/19 ||
+||   || 3/76 ||   || 47.368 ||
 ||   || 4/100 ||   || 48 ||
-||   || 5/124 ||   || 48 12/31 ||
+||   || 5/124 ||   || 48.387 ||
-||   || 6/148 ||   || 48 24/37 ||
+||   || 6/148 ||   || 48.649 ||
-||   || 7/172 ||   || 48 36/43 ||
+||   || 7/172 ||   || 48.837 ||
-||   || 8/196 ||   || 48 48/49 ||
+||   || 8/196 ||   || 48.98 ||
-||   || 9/220 ||   || 49 1/11 ||
+||   || 9/220 ||   || 49.091 ||
 || 1/24 ||   ||   || 50 ||
-||   || 5/116 ||   || 51 21/29 ||
+||   || 5/116 ||   || 51.724 ||
-||   || 4/92 ||   || 52 4/23 ||
+||   || 4/92 ||   || 52.174 ||
-||   || 3/68 ||   || 52 16/17 ||
+||   || 3/68 ||   || 52.941 ||
-||   || 2/44 ||   || 54 6/11 ||
+||   || 2/44 ||   || 54.5455 ||
-||   ||   || 5/108 || 55 5/9 ||
+||   ||   || 5/108 || 55.556 ||
 ||   || 3/64 ||   || 56.25 ||
-||   || 4/84 ||   || 57 1/7 ||
+||   || 4/84 ||   || 57.143 ||
-||   || 5/104 ||   || 57 9/13 ||
+||   || 5/104 ||   || 57.692 ||
-||   || 6/124 ||   || 58 2/31 ||
+||   || 6/124 ||   || 58.0645 ||
-||   || 7/144 ||   || 58 1/3 ||
+||   || 7/144 ||   || 58.333 ||
-||   || 8/164 ||   || 58 22/41 ||
+||   || 8/164 ||   || 58.537 ||
-||   || 9/184 ||   || 58 16/23 ||
+||   || 9/184 ||   || 58.696 ||
-||   || 10/204 ||   || 58 14/17 ||
+||   || 10/204 ||   || 58.8235 ||
-||   || 11/224 ||   || 58 13/14 ||
+||   || 11/224 ||   || 58.929 ||
-||   || 12/244 ||   || 59 1/61 ||
+||   || 12/244 ||   || 59.016 ||
 ||   ||   ||   || 300/(2+pi) ||
 || 1/20 ||   ||   || 60 ||
 ||   ||   ||   || 300/(2+e) ||
-||   || 7/136 ||   || 61 13/17 ||
+||   || 7/136 ||   || 61.765 ||
-||   || 6/116 ||   || 62 2/29 ||
+||   || 6/116 ||   || 62.069 ||
 ||   || 5/96 ||   || 62.5 ||
-||   || 4/76 ||   || 63 3/19 ||
+||   || 4/76 ||   || 63.158 ||
-||   || 3/56 ||   || 64 2/7 ||
+||   || 3/56 ||   || 64.286 ||
-||   ||   || 5/92 || 65 5/23 ||
+||   ||   ||   || 300/(3+phi) ||
-||   || 2/36 ||   || 66 2/3 ||
+||   ||   || 5/92 || 65.217 ||
-||   ||   || 7/124 || 67 23/31 ||
+||   || 2/36 ||   || 66.667 ||
-||   ||   || 5/88 || 68 2/11 ||
+||   ||   || 7/124 || 67.742 ||
-||   || 3/52 ||   || 69 6/13 ||
+||   ||   || 5/88 || 68.&lt;span style="line-height: 1.5;"&gt;182&lt;/span&gt; ||
-||   || 4/68 ||   || 70 10/17 ||
+||   || 3/52 ||   || 69.4615 ||
-||   || 5/84 ||   || 71 3/7 ||
+||   || 4/68 ||   || 70.588 ||
+||   || 5/84 ||   || 71.429 ||
 ||   || 6/100 ||   || 72 ||
-||   || 7/116 ||   || 72 12/29 ||
+||   || 7/116 ||   || 72.414 ||
-||   || 8/132 ||   || 72 8/11 ||
+||   || 8/132 ||   || 72.727 ||
-||   || 9/148 ||   || 72 36/37 ||
+||   || 9/148 ||   || 72.973 ||
-||   || 10/164 ||   || 73 6/41 ||
+||   || 10/164 ||   || 73.146 ||
-||   || 11/180 ||   || 73 1/3 ||
+||   || 11/180 ||   || 73.333 ||
-||   || 12/196 ||   || 73 24/49 ||
+||   || 12/196 ||   || 73.49 ||
-||   || 13/212 ||   || 73 31/53 ||
+||   || 13/212 ||   || 73.585 ||
-||   || 14/228 ||   || 73 13/19 ||
+||   || 14/228 ||   || 73.684 ||
-||   || 15/244 ||   || 73 47/61 ||
+||   || 15/244 ||   || 73.7705 ||
-||   || 16/260 ||   || 73 11/13 ||
+||   || 16/260 ||   || 73.864 ||
-||   || 17/276 ||   || 73 21/23 ||
+||   || 17/276 ||   || 73.913 ||
-||   || 18/292 ||   || 73 71/73 ||
+||   || 18/292 ||   || 73.973 ||
-||   || 19/308 ||   || 74 2/77 ||
+||   || 19/308 ||   || 74.026 ||
 || 1/16 ||   ||   || 75 ||
-||   || 10/156 ||   || 76 12/13 ||
+||   || 10/156 ||   || 76.923 ||
-||   || 9/140 ||   || 77 1/7 ||
+||   || 9/140 ||   || 77.143 ||
-||   || 8/124 ||   || 77 13/31 ||
+||   || 8/124 ||   || 77.419 ||
-||   || 7/108 ||   || 77 7/9 ||
+||   || 7/108 ||   || 77.778 ||
-||   || 6/92 ||   || 78 6/23 ||
+||   || 6/92 ||   || 78.261 ||
-||   || 5/76 ||   || 78 18/19 ||
+||   || 5/76 ||   || 78.947 ||
-||   ||   || 9/136 || 79 7/17 ||
+||   ||   || 9/136 || 79.412 ||
 ||   || 4/60 ||   || 80 ||
-||   ||   || 7/104 || 80 10/13 ||
+||   ||   ||   || 300/(2+sqrt(3)) ||
-||   || 3/44 ||   || 81 9/11 ||
+||   ||   || 7/104 || 80.769 ||
-||   ||   || 8/116 || 82 22/29 ||
+||   || 3/44 ||   || 81.818 ||
-||   || 5/72 ||   || 83 1/3 ||
+||   ||   || 8/116 || 82,759 ||
-||   ||   || 12/172 || 83 31/43 ||
+||   ||   ||   || 300/(2+hpi) ||
+||   || 5/72 ||   || 83.333 ||
+||   ||   ||   || 300/(2+pi/2) ||
+||   ||   || 12/172 || 83.721 ||
 ||   || 7/100 ||   || 84 ||
-|| 2/28 ||   ||   || 85 5/7 ||
+|| 2/28 ||   ||   || 85.714 ||
-||   || 11/152 ||   || 86 16/19 ||
+||   || 11/152 ||   || 86.842 ||
-||   || 9/124 ||   || 87 3/31 ||
+||   || 9/124 ||   || 87.097 ||
 ||   || 7/96 ||   || 87.5 ||
-||   || 5/68 ||   || 88 4/17 ||
+||   || 5/68 ||   || 88.235 ||
-||   || 8/108 ||   || 88 8/9 ||
+||   || 8/108 ||   || 88.889 ||
-||   || 11/148 ||   || 89 7/37 ||
+||   || 11/148 ||   || 89.096 ||
 || 3/40 ||   ||   || 90 ||
-||   || 7/92 ||   || 91 7/23 ||
+||   || 7/92 ||   || 91.304 ||
-|| 4/52 ||   ||   || 92 4/13 ||
+|| 4/52 ||   ||   || 92.308 ||
 || 1/12 ||   ||   || 100 ||</pre></div>
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@@ Line 624: / Line 638: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;73 31/53&lt;br /&gt;
+         &lt;td&gt;73.585&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 634: / Line 648: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;73 13/19&lt;br /&gt;
+         &lt;td&gt;73.684&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 644: / Line 658: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;73 47/61&lt;br /&gt;
+         &lt;td&gt;73.7705&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 654: / Line 668: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;73 11/13&lt;br /&gt;
+         &lt;td&gt;73.864&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 664: / Line 678: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;73 21/23&lt;br /&gt;
+         &lt;td&gt;73.913&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 674: / Line 688: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;73 71/73&lt;br /&gt;
+         &lt;td&gt;73.973&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 684: / Line 698: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;74 2/77&lt;br /&gt;
+         &lt;td&gt;74.026&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 704: / Line 718: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;76 12/13&lt;br /&gt;
+         &lt;td&gt;76.923&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 714: / Line 728: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;77 1/7&lt;br /&gt;
+         &lt;td&gt;77.143&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 724: / Line 738: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;77 13/31&lt;br /&gt;
+         &lt;td&gt;77.419&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 734: / Line 748: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;77 7/9&lt;br /&gt;
+         &lt;td&gt;77.778&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 744: / Line 758: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;78 6/23&lt;br /&gt;
+         &lt;td&gt;78.261&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 754: / Line 768: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;78 18/19&lt;br /&gt;
+         &lt;td&gt;78.947&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 764: / Line 778: @@
          &lt;td&gt;9/136&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;79 7/17&lt;br /&gt;
+         &lt;td&gt;79.412&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 775: / Line 789: @@
 &lt;/td&gt;
          &lt;td&gt;80&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;300/(2+sqrt(3))&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 784: / Line 808: @@
          &lt;td&gt;7/104&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;80 10/13&lt;br /&gt;
+         &lt;td&gt;80.769&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 794: / Line 818: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;81 9/11&lt;br /&gt;
+         &lt;td&gt;81.818&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 804: / Line 828: @@
          &lt;td&gt;8/116&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;82 22/29&lt;br /&gt;
+         &lt;td&gt;82,759&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;300/(2+hpi)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 814: / Line 848: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;83 1/3&lt;br /&gt;
+         &lt;td&gt;83.333&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;300/(2+pi/2)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 824: / Line 868: @@
          &lt;td&gt;12/172&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;83 31/43&lt;br /&gt;
+         &lt;td&gt;83.721&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 844: / Line 888: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;85 5/7&lt;br /&gt;
+         &lt;td&gt;85.714&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 854: / Line 898: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;86 16/19&lt;br /&gt;
+         &lt;td&gt;86.842&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 864: / Line 908: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;87 3/31&lt;br /&gt;
+         &lt;td&gt;87.097&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 884: / Line 928: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;88 4/17&lt;br /&gt;
+         &lt;td&gt;88.235&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 894: / Line 938: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;88 8/9&lt;br /&gt;
+         &lt;td&gt;88.889&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 904: / Line 948: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;89 7/37&lt;br /&gt;
+         &lt;td&gt;89.096&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 924: / Line 968: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;91 7/23&lt;br /&gt;
+         &lt;td&gt;91.304&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 934: / Line 978: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;92 4/13&lt;br /&gt;
+         &lt;td&gt;92.308&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

4L 8s: Difference between revisions

Revision as of 16:21, 10 November 2015

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