1L 12s

Revision as of 10:55, 2 December 2014 by Wikispaces>JosephRuhf (**Imported revision 533513554 - Original comment: **)
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This revision was by author JosephRuhf and made on 2014-12-02 10:55:27 UTC.
The original revision id was 533513554.
The revision comment was:

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Original Wikitext content:

This MOS, the Happy tridecatonic scale, has its first harmonic entropy minimum at 1/14edo-3/40edo, where 3:2 is +8 generators (Octacot). However, the absolute harmonic entropy minimum is Nautilus (3:2=-6 generators), and that is not complete until 14 tones.
||   ||   || Cents ||
|| 0/1 ||   || 0 ||
|| 1/17 ||   || 70 10/17 ||
||   || 4/67 || 71 43/67 ||
||   || 3/50 || 72 ||
||   || 2/33 || 72 8/11 ||
||   || 3/49 || 73 23/49 ||
||   || 4/65 || 73 11/13 ||
||   || 5/81 || 74 2/27 ||
|| 1/16 ||   || 75 ||
||   || 3/47 || 76 28/47 ||
||   || 2/31 || 77 13/31 ||
||   || 3/46 || 78 6/23 ||
||   || 4/61 || 78 42/61 ||
||   || 5/76 || 78 18/19 ||
||   || 6/91 || 79 11/91 ||
|| 1/15 ||   || 80 ||
||   || 3/44 || 81 9/11 ||
||   || 2/29 || 82 22/29 ||
||   || 3/43 || 83 31/43 ||
||   || 4/57 || 84 4/19 ||
|| 1/14 ||   || 85 5/7 ||
||   || 4/55 || 86 4/11 ||
||   || 3/41 || 87 33/41 ||
|| 2/27 ||   || 88 8/9 ||
||   || 5/67 || 89 37/67 ||
|| 3/40 ||   || 90 ||
|| 4/53 ||   || 90 30/53 ||
|| 1/13 ||   || 92 4/13 ||

Original HTML content:

<html><head><title>1L 12s</title></head><body>This MOS, the Happy tridecatonic scale, has its first harmonic entropy minimum at 1/14edo-3/40edo, where 3:2 is +8 generators (Octacot). However, the absolute harmonic entropy minimum is Nautilus (3:2=-6 generators), and that is not complete until 14 tones.<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>Cents<br />
</td>
    </tr>
    <tr>
        <td>0/1<br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td>1/17<br />
</td>
        <td><br />
</td>
        <td>70 10/17<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/67<br />
</td>
        <td>71 43/67<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/50<br />
</td>
        <td>72<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2/33<br />
</td>
        <td>72 8/11<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/49<br />
</td>
        <td>73 23/49<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/65<br />
</td>
        <td>73 11/13<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/81<br />
</td>
        <td>74 2/27<br />
</td>
    </tr>
    <tr>
        <td>1/16<br />
</td>
        <td><br />
</td>
        <td>75<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/47<br />
</td>
        <td>76 28/47<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2/31<br />
</td>
        <td>77 13/31<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/46<br />
</td>
        <td>78 6/23<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/61<br />
</td>
        <td>78 42/61<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/76<br />
</td>
        <td>78 18/19<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/91<br />
</td>
        <td>79 11/91<br />
</td>
    </tr>
    <tr>
        <td>1/15<br />
</td>
        <td><br />
</td>
        <td>80<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/44<br />
</td>
        <td>81 9/11<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2/29<br />
</td>
        <td>82 22/29<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/43<br />
</td>
        <td>83 31/43<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/57<br />
</td>
        <td>84 4/19<br />
</td>
    </tr>
    <tr>
        <td>1/14<br />
</td>
        <td><br />
</td>
        <td>85 5/7<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/55<br />
</td>
        <td>86 4/11<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/41<br />
</td>
        <td>87 33/41<br />
</td>
    </tr>
    <tr>
        <td>2/27<br />
</td>
        <td><br />
</td>
        <td>88 8/9<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/67<br />
</td>
        <td>89 37/67<br />
</td>
    </tr>
    <tr>
        <td>3/40<br />
</td>
        <td><br />
</td>
        <td>90<br />
</td>
    </tr>
    <tr>
        <td>4/53<br />
</td>
        <td><br />
</td>
        <td>90 30/53<br />
</td>
    </tr>
    <tr>
        <td>1/13<br />
</td>
        <td><br />
</td>
        <td>92 4/13<br />
</td>
    </tr>
</table>

</body></html>