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 2015-02-14 17:30:47 UTC.
- The original revision id was 540984276.
- 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 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 || || || 6/164 || || 43 37/41 || || || 5/136 || || 44 2/17 || || || 4/108 || || 44 4/9 || || || 3/80 || || 45 || || || 2/52 || || 46 2/13 || || || 3/76 || || 47 7/19 || || || 4/100 || || 48 || || || 5/124 || || 48 12/31 || || || 6/148 || || 48 24/37 || || || 7/172 || || 48 36/43 || || || 8/196 || || 48 48/49 || || || 9/220 || || 49 1/11 || || 1/24 || || || 50 || || || 5/116 || || 51 21/29 || || || 4/92 || || 52 4/23 || || || 3/68 || || 52 16/17 || || || 2/44 || || 54 6/11 || || || || 5/108 || 55 5/9 || || || 3/64 || || 56.25 || || || 4/84 || || 57 1/7 || || || 5/104 || || 57 9/13 || || || 6/124 || || 58 2/31 || || || 7/144 || || 58 1/3 || || || 8/164 || || 58 22/41 || || || 9/184 || || 58 16/23 || || || 10/204 || || 58 14/17 || || || 11/224 || || 58 13/14 || || || 12/244 || || 59 1/61 || || || || || 300/(2+3*2^(1/75)) || || 1/20 || || || 60 || || || || || 300/(2+3/2^(1/75)) || || || 7/136 || || 61 13/17 || || || 6/116 || || 62 2/29 || || || 5/96 || || 62.5 || || || 4/76 || || 63 3/19 || || || 3/56 || || 64 2/7 || || || || 5/92 || 65 5/23 || || || 2/36 || || 66 2/3 || || || || 7/124 || 67 23/31 || || || || 5/88 || 68 2/11 || || || 3/52 || || 69 6/13 || || || 4/68 || || 70 10/17 || || || 5/84 || || 71 3/7 || || || 6/100 || || 72 || || || 7/116 || || 72 12/29 || || || 8/132 || || 72 8/11 || || || 9/148 || || 72 36/37 || || || 10/164 || || 73 6/41 || || || 11/180 || || 73 1/3 || || || 12/196 || || 73 24/49 || || || 13/212 || || 73 31/53 || || || 14/228 || || 73 13/19 || || || 15/244 || || 73 47/61 || || || 16/260 || || 73 11/13 || || || 17/276 || || 73 21/23 || || || 18/292 || || 73 71/73 || || || 19/308 || || 74 2/77 || || 1/16 || || || 75 || || || 10/156 || || 76 12/13 || || || 9/140 || || 77 1/7 || || || 8/124 || || 77 13/31 || || || 7/108 || || 77 7/9 || || || 6/92 || || 78 6/23 || || || 5/76 || || 78 18/19 || || || || 9/136 || 79 7/17 || || || 4/60 || || 80 || || || || 7/104 || 80 10/13 || || || 3/44 || || 81 9/11 || || || || 8/116 || 82 22/29 || || || 5/72 || || 83 1/3 || || || || 12/172 || 83 31/43 || || || 7/100 || || 84 || || 2/28 || || || 85 5/7 || || || 11/152 || || 86 16/19 || || || 9/124 || || 87 3/31 || || || 7/96 || || 87.5 || || || 5/68 || || 88 4/17 || || || 8/108 || || 88 8/9 || || || 11/148 || || 89 7/37 || || 3/40 || || || 90 || || || 7/92 || || 91 7/23 || || 4/52 || || || 92 4/13 || || 1/12 || || || 100 ||
Original HTML content:
<html><head><title>4L 8s</title></head><body>This is the 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 6/7<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>6/164<br />
</td>
<td><br />
</td>
<td>43 37/41<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>5/136<br />
</td>
<td><br />
</td>
<td>44 2/17<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>4/108<br />
</td>
<td><br />
</td>
<td>44 4/9<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 2/13<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3/76<br />
</td>
<td><br />
</td>
<td>47 7/19<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 12/31<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>6/148<br />
</td>
<td><br />
</td>
<td>48 24/37<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>7/172<br />
</td>
<td><br />
</td>
<td>48 36/43<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>8/196<br />
</td>
<td><br />
</td>
<td>48 48/49<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/220<br />
</td>
<td><br />
</td>
<td>49 1/11<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 21/29<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>4/92<br />
</td>
<td><br />
</td>
<td>52 4/23<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3/68<br />
</td>
<td><br />
</td>
<td>52 16/17<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>2/44<br />
</td>
<td><br />
</td>
<td>54 6/11<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>5/108<br />
</td>
<td>55 5/9<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 1/7<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>5/104<br />
</td>
<td><br />
</td>
<td>57 9/13<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>6/124<br />
</td>
<td><br />
</td>
<td>58 2/31<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>7/144<br />
</td>
<td><br />
</td>
<td>58 1/3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>8/164<br />
</td>
<td><br />
</td>
<td>58 22/41<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/184<br />
</td>
<td><br />
</td>
<td>58 16/23<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>10/204<br />
</td>
<td><br />
</td>
<td>58 14/17<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/224<br />
</td>
<td><br />
</td>
<td>58 13/14<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>12/244<br />
</td>
<td><br />
</td>
<td>59 1/61<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>300/(2+3*2^(1/75))<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+3/2^(1/75))<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>7/136<br />
</td>
<td><br />
</td>
<td>61 13/17<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>6/116<br />
</td>
<td><br />
</td>
<td>62 2/29<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 3/19<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3/56<br />
</td>
<td><br />
</td>
<td>64 2/7<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>5/92<br />
</td>
<td>65 5/23<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>2/36<br />
</td>
<td><br />
</td>
<td>66 2/3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>7/124<br />
</td>
<td>67 23/31<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>5/88<br />
</td>
<td>68 2/11<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3/52<br />
</td>
<td><br />
</td>
<td>69 6/13<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>4/68<br />
</td>
<td><br />
</td>
<td>70 10/17<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>5/84<br />
</td>
<td><br />
</td>
<td>71 3/7<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 12/29<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>8/132<br />
</td>
<td><br />
</td>
<td>72 8/11<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/148<br />
</td>
<td><br />
</td>
<td>72 36/37<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>10/164<br />
</td>
<td><br />
</td>
<td>73 6/41<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/180<br />
</td>
<td><br />
</td>
<td>73 1/3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>12/196<br />
</td>
<td><br />
</td>
<td>73 24/49<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>13/212<br />
</td>
<td><br />
</td>
<td>73 31/53<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>14/228<br />
</td>
<td><br />
</td>
<td>73 13/19<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>15/244<br />
</td>
<td><br />
</td>
<td>73 47/61<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>16/260<br />
</td>
<td><br />
</td>
<td>73 11/13<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/276<br />
</td>
<td><br />
</td>
<td>73 21/23<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>18/292<br />
</td>
<td><br />
</td>
<td>73 71/73<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/308<br />
</td>
<td><br />
</td>
<td>74 2/77<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 12/13<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/140<br />
</td>
<td><br />
</td>
<td>77 1/7<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>8/124<br />
</td>
<td><br />
</td>
<td>77 13/31<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>7/108<br />
</td>
<td><br />
</td>
<td>77 7/9<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>6/92<br />
</td>
<td><br />
</td>
<td>78 6/23<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>5/76<br />
</td>
<td><br />
</td>
<td>78 18/19<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>9/136<br />
</td>
<td>79 7/17<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>7/104<br />
</td>
<td>80 10/13<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3/44<br />
</td>
<td><br />
</td>
<td>81 9/11<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>8/116<br />
</td>
<td>82 22/29<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>5/72<br />
</td>
<td><br />
</td>
<td>83 1/3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>12/172<br />
</td>
<td>83 31/43<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 5/7<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/152<br />
</td>
<td><br />
</td>
<td>86 16/19<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/124<br />
</td>
<td><br />
</td>
<td>87 3/31<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 4/17<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>8/108<br />
</td>
<td><br />
</td>
<td>88 8/9<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/148<br />
</td>
<td><br />
</td>
<td>89 7/37<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 7/23<br />
</td>
</tr>
<tr>
<td>4/52<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>92 4/13<br />
</td>
</tr>
<tr>
<td>1/12<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>100<br />
</td>
</tr>
</table>
</body></html>