1L 12s

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Revision as of 15:11, 11 November 2015 by Wikispaces>JosephRuhf (**Imported revision 566086773 - Original comment: **)
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This revision was by author JosephRuhf and made on 2015-11-11 15:11:03 UTC.
The original revision id was 566086773.
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 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 ||   || 70.588 ||
||   || 4/67 || 71.641 ||
||   || 3/50 || 72 ||
||   || 2/33 || 72.727 ||
||   || 3/49 || 73.469 ||
||   || 4/65 || 73.846 ||
||   || 5/81 || 74.074 ||
|| 1/16 ||   || 75 ||
||   || 3/47 || 76.596 ||
||   || 2/31 || 77.419 ||
||   || 3/46 || 78.261 ||
||   || 4/61 || 78.6885 ||
||   || 5/76 || 78.947 ||
||   || 6/91 || 79.121 ||
||   ||   || 1200/(12+pi) ||
|| 1/15 ||   || 80 ||
||   ||   || 1200/(12+e) ||
||   || 3/44 || 81.818 ||
||   ||   || 1200/(13+phi) ||
||   || 2/29 || 82.759 ||
||   || 3/43 || 83.721 ||
||   || 4/57 || 84.2105 ||
|| 1/14 ||   || 85.714 ||
||   || 4/55 || 86.364 ||
||   ||   || 1200/(12+sqrt(3)) ||
||   || 3/41 || 87.805 ||
||   ||   || 1200/(12+phi) ||
||   || 5/68 || 88.235 ||
||   ||   || 1200/(12+pi/2) ||
|| 2/27 ||   || 88.889 ||
||   || 5/67 || 89.552 ||
|| 3/40 ||   || 90 ||
|| 4/53 ||   || 90.556 ||
|| 1/13 ||   || 92.308 ||

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>70.588<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/67<br />
</td>
        <td>71.641<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>72.727<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/49<br />
</td>
        <td>73.469<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/65<br />
</td>
        <td>73.846<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/81<br />
</td>
        <td>74.074<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>76.596<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2/31<br />
</td>
        <td>77.419<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/46<br />
</td>
        <td>78.261<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/61<br />
</td>
        <td>78.6885<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/76<br />
</td>
        <td>78.947<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/91<br />
</td>
        <td>79.121<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(12+pi)<br />
</td>
    </tr>
    <tr>
        <td>1/15<br />
</td>
        <td><br />
</td>
        <td>80<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(12+e)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/44<br />
</td>
        <td>81.818<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(13+phi)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2/29<br />
</td>
        <td>82.759<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/43<br />
</td>
        <td>83.721<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/57<br />
</td>
        <td>84.2105<br />
</td>
    </tr>
    <tr>
        <td>1/14<br />
</td>
        <td><br />
</td>
        <td>85.714<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4/55<br />
</td>
        <td>86.364<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(12+sqrt(3))<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3/41<br />
</td>
        <td>87.805<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(12+phi)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/68<br />
</td>
        <td>88.235<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(12+pi/2)<br />
</td>
    </tr>
    <tr>
        <td>2/27<br />
</td>
        <td><br />
</td>
        <td>88.889<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5/67<br />
</td>
        <td>89.552<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>90.556<br />
</td>
    </tr>
    <tr>
        <td>1/13<br />
</td>
        <td><br />
</td>
        <td>92.308<br />
</td>
    </tr>
</table>

</body></html>
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