12L 5s: Difference between revisions

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**Imported revision 566468983 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This MOS separates its small steps by intervals of 3L-2L-2L-3L-2L. Its major third of -4 generators approximates an interval between [[24/19|24/19]] and [[32/25|32/25]], thus its generator is a perfect fourth between 7/17edo (494.412) and 5/12edo (500 cents).
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>2015-11-14 16:17:50 UTC</tt>.<br>
: The original revision id was <tt>566468983</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 separates its small steps by intervals of 3L-2L-2L-3L-2L. Its major third of -4 generators approximates an interval between [[24_19|24/19]] and [[32_25|32/25]], thus its generator is a perfect fourth between 7/17edo (494.412) and 5/12edo (500 cents).
|| 7/17 ||  ||  ||  ||   || 494.412 ||
||  ||  ||  ||  || 33/80 || 495 ||
||  ||  ||  || 26/63 ||  || 495,238 ||
||  ||  ||  ||  || 45/109 || 495.412 ||
||  ||  || 19/46 ||  ||  || 495.625 ||
||  ||  ||  ||  ||  || 495.807 ||
||  ||  ||  ||  || 50/121 || 495.868 ||
||  ||  ||  ||  ||  || 495.904 ||
||  ||  ||  || 31/75 ||  || 496 ||
||  ||  ||  ||  ||  || 496.123 ||
||  ||  ||  ||  || 43/104 || 496.154 ||
||  || 12/29 ||  ||  ||  || 496.552 ||
||  ||  ||  ||  || 41/99 || 496.97 ||
||  ||  ||  || 29/70 ||  || 497.143 ||
||  ||  ||  ||  ||  || 497.254 ||
||  ||  ||  ||  || 46/111 || 497.297 ||
||  ||  ||  ||  ||  || 497.342 ||
||  ||  || 17/41 ||  ||  || 497.561 ||
||  ||  ||  ||  ||  || 497.658 ||
||  ||  ||  ||  || 39/94 || 497.872 ||
||  ||  ||  || 22/53 ||  || 498.113 ||
||  ||  ||  ||  || 27/65 || 498,4615 ||
|| 5/12 ||  ||  ||  ||  || 500 ||</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;12L 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This MOS separates its small steps by intervals of 3L-2L-2L-3L-2L. Its major third of -4 generators approximates an interval between &lt;a class="wiki_link" href="/24_19"&gt;24/19&lt;/a&gt; and &lt;a class="wiki_link" href="/32_25"&gt;32/25&lt;/a&gt;, thus its generator is a perfect fourth between 7/17edo (494.412) and 5/12edo (500 cents).&lt;br /&gt;


 
{| class="wikitable"
&lt;table class="wiki_table"&gt;
|-
    &lt;tr&gt;
| | 7/17
        &lt;td&gt;7/17&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 494.412
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;494.412&lt;br /&gt;
| | 33/80
&lt;/td&gt;
| | 495
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 26/63
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 495,238
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;33/80&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;495&lt;br /&gt;
| | 45/109
&lt;/td&gt;
| | 495.412
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 19/46
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 495.625
&lt;/td&gt;
|-
        &lt;td&gt;26/63&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;495,238&lt;br /&gt;
| |
&lt;/td&gt;
| | 495.807
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 50/121
        &lt;td&gt;&lt;br /&gt;
| | 495.868
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;45/109&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;495.412&lt;br /&gt;
| |
&lt;/td&gt;
| | 495.904
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 31/75
&lt;/td&gt;
| |
        &lt;td&gt;19/46&lt;br /&gt;
| | 496
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;495.625&lt;br /&gt;
| |
&lt;/td&gt;
| | 496.123
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 43/104
        &lt;td&gt;&lt;br /&gt;
| | 496.154
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 12/29
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;495.807&lt;br /&gt;
| |
&lt;/td&gt;
| | 496.552
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 41/99
        &lt;td&gt;&lt;br /&gt;
| | 496.97
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;50/121&lt;br /&gt;
| |
&lt;/td&gt;
| | 29/70
        &lt;td&gt;495.868&lt;br /&gt;
| |
&lt;/td&gt;
| | 497.143
    &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;
| | 497.254
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;495.904&lt;br /&gt;
| | 46/111
&lt;/td&gt;
| | 497.297
    &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;
| | 497.342
&lt;/td&gt;
|-
        &lt;td&gt;31/75&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 17/41
&lt;/td&gt;
| |
        &lt;td&gt;496&lt;br /&gt;
| |
&lt;/td&gt;
| | 497.561
    &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;
| | 497.658
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;496.123&lt;br /&gt;
| | 39/94
&lt;/td&gt;
| | 497.872
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 22/53
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 498.113
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;43/104&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;496.154&lt;br /&gt;
| | 27/65
&lt;/td&gt;
| | 498,4615
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| | 5/12
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;12/29&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 500
&lt;/td&gt;
|}
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;496.552&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;41/99&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;496.97&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;29/70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;497.143&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;497.254&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;46/111&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;497.297&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;497.342&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;17/41&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;497.561&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;497.658&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;39/94&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;497.872&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;22/53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;498.113&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;27/65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;498,4615&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/12&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;500&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

This MOS separates its small steps by intervals of 3L-2L-2L-3L-2L. Its major third of -4 generators approximates an interval between 24/19 and 32/25, thus its generator is a perfect fourth between 7/17edo (494.412) and 5/12edo (500 cents).

7/17 494.412
33/80 495
26/63 495,238
45/109 495.412
19/46 495.625
495.807
50/121 495.868
495.904
31/75 496
496.123
43/104 496.154
12/29 496.552
41/99 496.97
29/70 497.143
497.254
46/111 497.297
497.342
17/41 497.561
497.658
39/94 497.872
22/53 498.113
27/65 498,4615
5/12 500