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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The largest generator of this MOS is the chromatic semitone 2/15edo (80 cents). The simplest map for 3/2 is Valentine, where it equals +9 generators. |
| 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>2015-11-14 14:50:02 UTC</tt>.<br>
| |
| : The original revision id was <tt>566464469</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">The largest generator of this MOS is the chromatic semitone 2/15edo (80 cents). The simplest map for 3/2 is Valentine, where it equals +9 generators.
| |
| || 1/15 || || || || || || || 80 ||
| |
| || || || || || || || 6/91 || 79.121 ||
| |
| || || || || || || 5/76 || || 78.947 ||
| |
| || || || || || 4/61 || || || 78.6885 ||
| |
| || || || || 3/46 || || || || 78.261 ||
| |
| || || || || || 5/77 || || || 77.922 ||
| |
| || || || || || || 7/108 || || 77.778 ||
| |
| || || || 2/31 || || || || || 77.419 ||
| |
| || || || || || || || || 1200/(14+pi/2) ||
| |
| || || || || || 5/78 || || || 76.923 ||
| |
| || || || || || || || || 1200/(14+phi) ||
| |
| || || || || 3/47 || || || || 76.596 ||
| |
| || || || || || || || || 1200/(14+sqrt(3)) ||
| |
| || || || || || 4/63 || || || 76.1905 ||
| |
| || || 1/16 || || || || || || 75 ||
| |
| || || || || || 3/49 || || || 73.469 ||
| |
| || || || || 2/33 || || || || 72.727 ||
| |
| || || || || || 3/50 || || || 72 ||
| |
| || || || || || || || || 1200/(15+phi) ||
| |
| || || || || || || 4/67 || || 71.642 ||
| |
| || || || || || || || || 1200/(14+e) ||
| |
| || || || 1/17 || || || || || 70.588 ||
| |
| || || || || || || || || 1200/(14+pi) ||
| |
| || || || || || || 3/52 || || 69.231 ||
| |
| || || || || || 2/35 || || || 68.571 ||
| |
| || || || || || || 3/53 || || 67.9245 ||
| |
| || || || || 1/18 || || || || 66.667 ||
| |
| || || || || || || || 3/55 || 65.4545 ||
| |
| || || || || || || 2/37 || || 64.865 ||
| |
| || || || || || 1/19 || || || 63.158 ||
| |
| || || || || || || 1/20 || || 60 ||
| |
| || || || || || || || 1/21 || 57.143 ||
| |
| || 0/1 || || || || || || || 0 ||</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"><html><head><title>1L 14s</title></head><body>The largest generator of this MOS is the chromatic semitone 2/15edo (80 cents). The simplest map for 3/2 is Valentine, where it equals +9 generators.<br />
| |
|
| |
|
| | | {| class="wikitable" |
| <table class="wiki_table">
| | |- |
| <tr>
| | | | 1/15 |
| <td>1/15<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 80 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>80<br />
| | | | 6/91 |
| </td>
| | | | 79.121 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 5/76 |
| </td>
| | | | |
| <td><br />
| | | | 78.947 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>6/91<br />
| | | | 4/61 |
| </td>
| | | | |
| <td>79.121<br />
| | | | |
| </td>
| | | | 78.6885 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 3/46 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 78.261 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>5/76<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 5/77 |
| </td>
| | | | |
| <td>78.947<br />
| | | | |
| </td>
| | | | 77.922 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 7/108 |
| </td>
| | | | |
| <td><br />
| | | | 77.778 |
| </td>
| | |- |
| <td>4/61<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 2/31 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>78.6885<br />
| | | | |
| </td>
| | | | 77.419 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>3/46<br />
| | | | 1200/(14+pi/2) |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 5/78 |
| </td>
| | | | |
| <td>78.261<br />
| | | | |
| </td>
| | | | 76.923 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1200/(14+phi) |
| </td>
| | |- |
| <td>5/77<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 3/47 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>77.922<br />
| | | | |
| </td>
| | | | 76.596 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1200/(14+sqrt(3)) |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>7/108<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 4/63 |
| </td>
| | | | |
| <td>77.778<br />
| | | | |
| </td>
| | | | 76.1905 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | 1/16 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>2/31<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 75 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 3/49 |
| </td>
| | | | |
| <td>77.419<br />
| | | | |
| </td>
| | | | 73.469 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 2/33 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 72.727 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 3/50 |
| </td>
| | | | |
| <td>1200/(14+pi/2)<br />
| | | | |
| </td>
| | | | 72 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1200/(15+phi) |
| </td>
| | |- |
| <td>5/78<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 4/67 |
| <td>76.923<br />
| | | | |
| </td>
| | | | 71.642 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1200/(14+e) |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1/17 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>1200/(14+phi)<br />
| | | | |
| </td>
| | | | 70.588 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>3/47<br />
| | | | 1200/(14+pi) |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 3/52 |
| <td>76.596<br />
| | | | |
| </td>
| | | | 69.231 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 2/35 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 68.571 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 3/53 |
| <td>1200/(14+sqrt(3))<br />
| | | | |
| </td>
| | | | 67.9245 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1/18 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 66.667 |
| </td>
| | |- |
| <td>4/63<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>76.1905<br />
| | | | 3/55 |
| </td>
| | | | 65.4545 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>1/16<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 2/37 |
| </td>
| | | | |
| <td><br />
| | | | 64.865 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1/19 |
| </td>
| | | | |
| <td>75<br />
| | | | |
| </td>
| | | | 63.158 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 1/20 |
| </td>
| | | | |
| <td><br />
| | | | 60 |
| </td>
| | |- |
| <td>3/49<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>73.469<br />
| | | | 1/21 |
| </td>
| | | | 57.143 |
| </tr>
| | |- |
| <tr>
| | | | 0/1 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>2/33<br />
| | | | 0 |
| </td>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>72.727<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/50<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>72<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>1200/(15+phi)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4/67<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>71.642<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>1200/(14+e)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1/17<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>70.588<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>1200/(14+pi)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/52<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>69.231<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2/35<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>68.571<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/53<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>67.9245<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1/18<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>66.667<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/55<br />
| |
| </td>
| |
| <td>65.4545<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2/37<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>64.865<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1/19<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>63.158<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1/20<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>60<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1/21<br />
| |
| </td>
| |
| <td>57.143<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>0/1<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>0<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
The largest generator of this MOS is the chromatic semitone 2/15edo (80 cents). The simplest map for 3/2 is Valentine, where it equals +9 generators.
1/15
|
|
|
|
|
|
|
80
|
|
|
|
|
|
|
6/91
|
79.121
|
|
|
|
|
|
5/76
|
|
78.947
|
|
|
|
|
4/61
|
|
|
78.6885
|
|
|
|
3/46
|
|
|
|
78.261
|
|
|
|
|
5/77
|
|
|
77.922
|
|
|
|
|
|
7/108
|
|
77.778
|
|
|
2/31
|
|
|
|
|
77.419
|
|
|
|
|
|
|
|
1200/(14+pi/2)
|
|
|
|
|
5/78
|
|
|
76.923
|
|
|
|
|
|
|
|
1200/(14+phi)
|
|
|
|
3/47
|
|
|
|
76.596
|
|
|
|
|
|
|
|
1200/(14+sqrt(3))
|
|
|
|
|
4/63
|
|
|
76.1905
|
|
1/16
|
|
|
|
|
|
75
|
|
|
|
|
3/49
|
|
|
73.469
|
|
|
|
2/33
|
|
|
|
72.727
|
|
|
|
|
3/50
|
|
|
72
|
|
|
|
|
|
|
|
1200/(15+phi)
|
|
|
|
|
|
4/67
|
|
71.642
|
|
|
|
|
|
|
|
1200/(14+e)
|
|
|
1/17
|
|
|
|
|
70.588
|
|
|
|
|
|
|
|
1200/(14+pi)
|
|
|
|
|
|
3/52
|
|
69.231
|
|
|
|
|
2/35
|
|
|
68.571
|
|
|
|
|
|
3/53
|
|
67.9245
|
|
|
|
1/18
|
|
|
|
66.667
|
|
|
|
|
|
|
3/55
|
65.4545
|
|
|
|
|
|
2/37
|
|
64.865
|
|
|
|
|
1/19
|
|
|
63.158
|
|
|
|
|
|
1/20
|
|
60
|
|
|
|
|
|
|
1/21
|
57.143
|
0/1
|
|
|
|
|
|
|
0
|