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4L 11s: 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>2015-02-13 13:16:23 UTC</tt>.<br>
| nLargeSteps = 4
: The original revision id was <tt>540910882</tt>.<br>
| nSmallSteps = 11
: The revision comment was: <tt></tt><br>
| Equalized = 4
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| Collapsed = 1
<h4>Original Wikitext content:</h4>
| Pattern = LsssLsssLsssLss
<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 is a pattern generated by a large minor third of 1/4edo (300) to 4/15edo (320 cents). Because Myna temperament arrives at 3/2 by +10 generators, this is the lowest Myna MOS which has multiple 3/2s.
}}
|| 4/15 ||  ||  ||  ||  ||  || 320 ||
{{MOS intro}}
||  ||  ||  ||  || 17/64 ||  || 318.75 ||
||  ||  ||  || 13/49 ||  ||  || 318.367347 ||
||  ||  ||  ||  || 22/83 ||  || 318.072289 ||
||  ||  || 9/34 ||  ||  ||  || 317.647059 ||
||  ||  ||  ||  || 23/87 ||  || 317.241379 ||
||  ||  ||  || 14/53 ||  ||  || 316.981132 ||
||  ||  ||  ||  || 19/72 ||  || 316 2/3 ||
||  || 5/19 ||  ||  ||  ||  || 315.789474 ||
||  ||  ||  ||  || 16/61 ||  || 314.754098 ||
||  ||  ||  || 11/42 ||  ||  || 314 2/7 ||
||  ||  ||  ||  || 17/65 ||  || 313 11/13 ||
||  ||  ||  ||  ||  ||  || 313.106385 ||
||  ||  || 6/23 ||  ||  ||  || 313.043478 ||
||  ||  ||  ||  ||  ||  || 312.980597 ||
||  ||  ||  ||  || 13/50 ||  || 312 ||
||  ||  ||  || 7/27 ||  ||  || 311 1/9 ||
||  ||  ||  ||  ||  || 15/58 || 310.344828 ||
||  ||  ||  ||  || 8/31 ||  || 309.677419 ||
|| 1/4 ||  ||  ||  ||  ||  || 300 ||</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;4L 11s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is a pattern generated by a large minor third of 1/4edo (300) to 4/15edo (320 cents). Because Myna temperament arrives at 3/2 by +10 generators, this is the lowest Myna MOS which has multiple 3/2s.&lt;br /&gt;


Because [[myna]] temperament arrives at 3/2 by +10 generators, this is the lowest myna MOS which has multiple 3/2s.


&lt;table class="wiki_table"&gt;
== Modes ==
    &lt;tr&gt;
{{MOS modes}}
        &lt;td&gt;4/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;320&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17/64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.75&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.367347&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22/83&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;318.072289&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;9/34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;317.647059&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23/87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;317.241379&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.981132&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19/72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316 2/3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;315.789474&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;314.754098&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;314 2/7&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17/65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313 11/13&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313.106385&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;6/23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313.043478&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;312.980597&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;312&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;311 1/9&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;310.344828&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;309.677419&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;300&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
== Intervals ==
{{MOS intervals}}
 
== Scales ==
* [[Cata15]]
* [[Myna15]]
 
== Scale tree ==
{| class="wikitable center-all"
! colspan="6" rowspan="2" | Generator
! colspan="2" | Cents
! rowspan="2" | L
! rowspan="2" | s
! rowspan="2" | L/s
! rowspan="2" | Comments
|-
! Chroma-positive
! Chroma-negative
|-
| 11\15 || || || || || || 880.000 || 320.000 || 1 || 1 || 1.000 ||
|-
| || || || || || 58\79 || 881.013 || 318.987 || 6 || 5 || 1.200 ||
|-
| || || || || 47\64 || || 881.250 || 318.750 || 5 || 4 || 1.250 ||
|-
| || || || || || 83\113 || 881.416 || 318.584 || 9 || 7 || 1.286 ||
|-
| || || || 36\49 || || || 881.633 || 318.367 || 4 || 3 || 1.333 || Catalan
|-
| || || || || || 97\132 || 881.818 || 318.182 || 11 || 8 || 1.375 ||
|-
| || || || || 61\83 || || 881.928 || 318.072 || 7 || 5 || 1.400 ||
|-
| || || || || || 86\117 || 882.051 || 317.949 || 10 || 7 || 1.428 ||
|-
| || || 25\34 || || || || 882.353 || 317.647 || 3 || 2 || 1.500 || L/s = 3/2
|-
| || || || || || 89\121 || 882.645 || 317.355 || 11 || 7 || 1.571 || Metakleismic
|-
| || || || || 64\87 || || 882.759 || 317.241 || 8 || 5 || 1.600 ||
|-
| || || || || || 103\140 || 882.857 || 317.143 || 13 || 8 || 1.625 || Countercata
|-
| || || || 39\53 || || || 883.019 || 316.981 || 5 || 3 || 1.667 || Hanson/cata
|-
| || || || || || 92\125 || 883.200 || 316.800 || 12 || 7 || 1.714 || Catakleismic
|-
| || || || || 53\72 || || 883.333 || 316.667 || 7 || 4 || 1.750 ||
|-
| || || || || || 67\91 || 883.516 || 316.484 || 9 || 5 || 1.800 ||
|-
| || 14\19 || || || || || 884.211 || 315.789 || 2 || 1 || 2.000 || Basic 4L 11s<br>(Generators smaller than this are proper)
|-
| || || || || || 59\80 || 885.000 || 315.000 || 9 || 4 || 2.250 || Parakleismic
|-
| || || || || 45\61 || || 885.246 || 314.754 || 7 || 3 || 2.333 ||
|-
| || || || || || 76\103 || 885.437 || 314.563 || 12 || 5 || 2.400 ||
|-
| || || || 31\42 || || || 885.714 || 314.286 || 5 || 2 || 2.500 ||
|-
| || || || || || 79\107 || 885.981 || 314.019 || 13 || 5 || 2.600 ||
|-
| || || || || 48\65 || || 886.154 || 313.846 || 8 || 3 || 2.667 ||
|-
| || || || || || 65\88 || 886.364 || 313.636 || 11 || 4 || 2.750 ||
|-
| || || 17\23 || || || || 886.957 || 313.043 || 3 || 1 || 3.000 || L/s = 3/1
|-
| || || || || || 54\73 || 887.671 || 312.329 || 10 || 3 || 3.333 ||
|-
| || || || || 37\50 || || 888.000 || 312.000 || 7 || 2 || 3.500 ||
|-
| || || || || || 57\77 || 888.312 || 311.688 || 11 || 3 || 3.667 || Oolong
|-
| || || || 20\27 || || || 888.889 || 311.111 || 4 || 1 || 4.000 || Starlingtet
|-
| || || || || || 43\58 || 889.655 || 310.345 || 9 || 2 || 4.500 || Myna
|-
| || || || || 23\31 || || 890.323 || 309.677 || 5 || 1 || 5.000 ||
|-
| || || || || || 26\35 || 891.429 || 308.571 || 6 || 1 || 6.000 ||
|-
| 3\4 || || || || || || 900.000 || 300.000 || 1 || 0 || → inf ||
|}
 
{{todo|expand}}
[[Category:15-tone scales]]
Retrieved from "https://en.xen.wiki/w/4L_11s"