4L 8s
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>