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8L 5s: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox MOS
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Periods = 1
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-10-19 16:59:08 UTC</tt>.<br>
| nLargeSteps = 8
: The original revision id was <tt>563028507</tt>.<br>
| nSmallSteps = 5
: The revision comment was: <tt></tt><br>
| Equalized = 5
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| Collapsed = 3
<h4>Original Wikitext content:</h4>
| Pattern = LLsLLsLsLLsLs
<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 ||
{{MOS intro}}
|| 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 ||
||  || 21/55 || 458.182 || 916.364 ||
||  ||  || 458.359 || 916.718 ||
|| 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;


8L&nbsp;5s represents the chromatic scale of [[Semidim]], [[Tridec]], [[Ammonite]], and [[Petrtri]] temperaments. It represents [[tempered]] chains of the 13:10 or 17:13 [[semisixth]], 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 [[logarithmic phi]], or even logarithmic phi itself; based on this relation to the golden sequence, [[User:Lériendil|Lériendil]] has proposed the name '''aureate''' for this scale.


&lt;table class="wiki_table"&gt;
== Scale properties ==
    &lt;tr&gt;
{{TAMNAMS use}}
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;cents&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;450&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;900&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17/45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;453.333&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;906.667&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31/82&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;453.512&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;907.024&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;454.054&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;908.108&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25/66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;454.5455&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;909.091&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;454.978&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;909.956&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;455.172&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;910.345&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;455.608&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;911.825&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;30/79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;455.696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;911.392&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;455.782&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;911.563&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19/50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;456&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;912&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27/71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;456.338&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;912.676&lt;br /&gt;
&lt;/td&gt;
    &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;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;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>
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
==Scale tree==
{{MOS tuning spectrum}}
 
{{todo|expand}}
 
[[Category:Oneirotonic]]
[[Category:13-tone scales]]
Retrieved from "https://en.xen.wiki/w/8L_5s"