8L 5s: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 566382649 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 superthird, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to phi, or even phi itself.
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>2015-11-13 14:51:55 UTC</tt>.<br>
: The original revision id was <tt>566382649</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">This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 superthird, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to phi, or even phi itself.
||  ||  || cents || 2g ||
|| 3/8 ||  || 450 || 900 ||
|| 17/45 ||  || 453.333 || 906.667 ||
||  || 31/82 || 453.512 || 907.024 ||
|| 14/37 ||  || 454.054 || 908.108 ||
||  || 25/66 || 454.5455 || 909.091 ||
||  ||  || 454.978 || 909.956 ||
|| 11/29 ||  || 455.172 || 910.345 ||
||  ||  || 455.608 || 911.825 ||
||  || 30/79 || 455.696 || 911.392 ||
||  ||  || 455.782 || 911.563 ||
||  || 19/50 || 456 || 912 ||
||  || 27/71 || 456.338 || 912.676 ||
||  || 35/92 || 456.522 || 913.043 ||
|| 8/21 ||  || 457.143 || 914.286 ||
||  || 29/76 || 457.684 || 915.368 ||
||  ||  || 457.955 || 915.91 ||
||  || 21/55 || 458.182 || 916.364 ||
||  ||  || 458.359 || 916.718 ||
||  || 34/89 || 458.427 || 916.854 ||
||  ||  || 458.539 || 917.078 ||
|| 13/34 ||  || 458.8235 || 917.647 ||
||  || 31/81 || 459.259 || 918.5185 ||
|| 18/47 ||  || 459.5745 || 919.149 ||
|| 23/60 ||  || 460 || 920 ||
|| 5/13 ||  || 461.5385 || 923.077 ||</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;8L 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 superthird, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to phi, or even phi itself.&lt;br /&gt;


 
{| class="wikitable"
&lt;table class="wiki_table"&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | cents
        &lt;td&gt;&lt;br /&gt;
| | 2g
&lt;/td&gt;
|-
        &lt;td&gt;cents&lt;br /&gt;
| | 3/8
&lt;/td&gt;
| |
        &lt;td&gt;2g&lt;br /&gt;
| | 450
&lt;/td&gt;
| | 900
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 17/45
        &lt;td&gt;3/8&lt;br /&gt;
| |
&lt;/td&gt;
| | 453.333
        &lt;td&gt;&lt;br /&gt;
| | 906.667
&lt;/td&gt;
|-
        &lt;td&gt;450&lt;br /&gt;
| |
&lt;/td&gt;
| | 31/82
        &lt;td&gt;900&lt;br /&gt;
| | 453.512
&lt;/td&gt;
| | 907.024
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 14/37
        &lt;td&gt;17/45&lt;br /&gt;
| |
&lt;/td&gt;
| | 454.054
        &lt;td&gt;&lt;br /&gt;
| | 908.108
&lt;/td&gt;
|-
        &lt;td&gt;453.333&lt;br /&gt;
| |
&lt;/td&gt;
| | 25/66
        &lt;td&gt;906.667&lt;br /&gt;
| | 454.5455
&lt;/td&gt;
| | 909.091
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 454.978
        &lt;td&gt;31/82&lt;br /&gt;
| | 909.956
&lt;/td&gt;
|-
        &lt;td&gt;453.512&lt;br /&gt;
| | 11/29
&lt;/td&gt;
| |
        &lt;td&gt;907.024&lt;br /&gt;
| | 455.172
&lt;/td&gt;
| | 910.345
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;14/37&lt;br /&gt;
| |
&lt;/td&gt;
| | 455.608
        &lt;td&gt;&lt;br /&gt;
| | 911.825
&lt;/td&gt;
|-
        &lt;td&gt;454.054&lt;br /&gt;
| |
&lt;/td&gt;
| | 30/79
        &lt;td&gt;908.108&lt;br /&gt;
| | 455.696
&lt;/td&gt;
| | 911.392
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 455.782
        &lt;td&gt;25/66&lt;br /&gt;
| | 911.563
&lt;/td&gt;
|-
        &lt;td&gt;454.5455&lt;br /&gt;
| |
&lt;/td&gt;
| | 19/50
        &lt;td&gt;909.091&lt;br /&gt;
| | 456
&lt;/td&gt;
| | 912
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 27/71
&lt;/td&gt;
| | 456.338
        &lt;td&gt;&lt;br /&gt;
| | 912.676
&lt;/td&gt;
|-
        &lt;td&gt;454.978&lt;br /&gt;
| |
&lt;/td&gt;
| | 35/92
        &lt;td&gt;909.956&lt;br /&gt;
| | 456.522
&lt;/td&gt;
| | 913.043
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 8/21
        &lt;td&gt;11/29&lt;br /&gt;
| |
&lt;/td&gt;
| | 457.143
        &lt;td&gt;&lt;br /&gt;
| | 914.286
&lt;/td&gt;
|-
        &lt;td&gt;455.172&lt;br /&gt;
| |
&lt;/td&gt;
| | 29/76
        &lt;td&gt;910.345&lt;br /&gt;
| | 457.684
&lt;/td&gt;
| | 915.368
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 457.955
        &lt;td&gt;&lt;br /&gt;
| | 915.91
&lt;/td&gt;
|-
        &lt;td&gt;455.608&lt;br /&gt;
| |
&lt;/td&gt;
| | 21/55
        &lt;td&gt;911.825&lt;br /&gt;
| | 458.182
&lt;/td&gt;
| | 916.364
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 458.359
        &lt;td&gt;30/79&lt;br /&gt;
| | 916.718
&lt;/td&gt;
|-
        &lt;td&gt;455.696&lt;br /&gt;
| |
&lt;/td&gt;
| | 34/89
        &lt;td&gt;911.392&lt;br /&gt;
| | 458.427
&lt;/td&gt;
| | 916.854
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 458.539
        &lt;td&gt;&lt;br /&gt;
| | 917.078
&lt;/td&gt;
|-
        &lt;td&gt;455.782&lt;br /&gt;
| | 13/34
&lt;/td&gt;
| |
        &lt;td&gt;911.563&lt;br /&gt;
| | 458.8235
&lt;/td&gt;
| | 917.647
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 31/81
&lt;/td&gt;
| | 459.259
        &lt;td&gt;19/50&lt;br /&gt;
| | 918.5185
&lt;/td&gt;
|-
        &lt;td&gt;456&lt;br /&gt;
| | 18/47
&lt;/td&gt;
| |
        &lt;td&gt;912&lt;br /&gt;
| | 459.5745
&lt;/td&gt;
| | 919.149
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 23/60
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 460
        &lt;td&gt;27/71&lt;br /&gt;
| | 920
&lt;/td&gt;
|-
        &lt;td&gt;456.338&lt;br /&gt;
| | 5/13
&lt;/td&gt;
| |
        &lt;td&gt;912.676&lt;br /&gt;
| | 461.5385
&lt;/td&gt;
| | 923.077
    &lt;/tr&gt;
|}
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;35/92&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;456.522&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;913.043&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8/21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;457.143&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;914.286&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29/76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;457.684&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;915.368&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;457.955&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;915.91&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21/55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;458.182&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;916.364&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;458.359&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;916.718&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;34/89&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;458.427&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;916.854&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;458.539&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;917.078&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;458.8235&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;917.647&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31/81&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;459.259&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;918.5185&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18/47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;459.5745&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;919.149&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23/60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;460&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;920&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;461.5385&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;923.077&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>