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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
There are two significant harmonic entropy minima with this MOS pattern. [[Sensipent_family|Sensi]], in which the generator is 9/7, two of them make 5/3, and seven of them make 6/1, is the proper one. [[Meantone_family#Squares|Squares]], in which the generator is also 9/7, but two of them make 18/11 and five of them make 8/3, is improper.
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>2015-11-05 11:05:59 UTC</tt>.<br>
: The original revision id was <tt>565317321</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">There are two significant harmonic entropy minima with this MOS pattern. [[Sensipent family|Sensi]], in which the generator is 9/7, two of them make 5/3, and seven of them make 6/1, is the proper one. [[Meantone family#Squares|Squares]], in which the generator is also 9/7, but two of them make 18/11 and five of them make 8/3, is improper.
||||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 1\3 ||  ||  ||  ||  ||  || 400 ||=  ||
||  ||  ||  || 6\17 ||  ||  || 423.53 ||= L/s = 4 ||
||  ||  ||  ||  ||  || 17\48 || 425 ||= Squares is around here ||
||  ||  ||  ||  || 11\31 ||  || 425.81 ||=  ||
||  ||  ||  ||  ||  ||  || 427.73 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = pi&lt;/span&gt; ||
||  ||  || 5\14 ||  ||  ||  || 428.57 ||= L/s = 3 ||
||  ||  ||  ||  ||  ||  || 430.41 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = e&lt;/span&gt; ||
||  ||  ||  ||  || 14\39 ||  || 430.77 ||  ||
||  ||  ||  ||  ||  || 23\64 || 431.25 ||  ||
||  ||  ||  || 9\25 ||  ||  || 432 ||  ||
||  || 4\11 ||  ||  ||  ||  || 436.36 ||= Boundary of propriety:
generators larger than this are proper ||
||  ||  ||  ||  ||  ||  || 439.23 ||  ||
||  ||  ||  || 11\30 ||  ||  || 440 ||=  ||
||  ||  ||  ||  ||  || 29\79 || 440.51 ||= Unnamed golden temperament ||
||  ||  ||  ||  || 18\49 ||  || 440.82 ||=  ||
||  ||  ||  ||  ||  ||  || 441.185 ||  ||
||  ||  || 7\19 ||  ||  ||  || 442.11 ||= Optimum rank range (L/s=3/2) sensi ||
||  ||  ||  ||  || 17\46 ||  || 443.48 ||= Sensi is around here ||
||  ||  ||  || 10\27 ||  ||  || 444.44 ||=  ||
|| 3\8 ||  ||  ||  ||  ||  || 450 ||=  ||</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;3L 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are two significant harmonic entropy minima with this MOS pattern. &lt;a class="wiki_link" href="/Sensipent%20family"&gt;Sensi&lt;/a&gt;, in which the generator is 9/7, two of them make 5/3, and seven of them make 6/1, is the proper one. &lt;a class="wiki_link" href="/Meantone%20family#Squares"&gt;Squares&lt;/a&gt;, in which the generator is also 9/7, but two of them make 18/11 and five of them make 8/3, is improper.&lt;br /&gt;


{| class="wikitable"
|-
! colspan="6" | Generator
! | Cents
! | Comments
|-
| | 1\3
| |
| |
| |
| |
| |
| | 400
| style="text-align:center;" |
|-
| |
| |
| |
| | 6\17
| |
| |
| | 423.53
| style="text-align:center;" | L/s = 4
|-
| |
| |
| |
| |
| |
| | 17\48
| | 425
| style="text-align:center;" | Squares is around here
|-
| |
| |
| |
| |
| | 11\31
| |
| | 425.81
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 427.73
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
|-
| |
| |
| | 5\14
| |
| |
| |
| | 428.57
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| |
| | 430.41
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
| |
| |
| |
| |
| | 14\39
| |
| | 430.77
| |
|-
| |
| |
| |
| |
| |
| | 23\64
| | 431.25
| |
|-
| |
| |
| |
| | 9\25
| |
| |
| | 432
| |
|-
| |
| | 4\11
| |
| |
| |
| |
| | 436.36
| style="text-align:center;" | Boundary of propriety:


&lt;table class="wiki_table"&gt;
generators larger than this are proper
    &lt;tr&gt;
|-
        &lt;th colspan="6"&gt;Generator&lt;br /&gt;
| |
&lt;/th&gt;
| |
        &lt;th&gt;Cents&lt;br /&gt;
| |
&lt;/th&gt;
| |
        &lt;th&gt;Comments&lt;br /&gt;
| |
&lt;/th&gt;
| |
    &lt;/tr&gt;
| | 439.23
    &lt;tr&gt;
| |
        &lt;td&gt;1\3&lt;br /&gt;
|-
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 11\30
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 440
        &lt;td&gt;&lt;br /&gt;
| style="text-align:center;" |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;400&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 29\79
    &lt;/tr&gt;
| | 440.51
    &lt;tr&gt;
| style="text-align:center;" | Unnamed golden temperament
        &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;
| | 18\49
        &lt;td&gt;6\17&lt;br /&gt;
| |
&lt;/td&gt;
| | 440.82
        &lt;td&gt;&lt;br /&gt;
| style="text-align:center;" |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;423.53&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td style="text-align: center;"&gt;L/s = 4&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | 441.185
    &lt;tr&gt;
| |
        &lt;td&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 7\19
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 442.11
        &lt;td&gt;&lt;br /&gt;
| style="text-align:center;" | Optimum rank range (L/s=3/2) sensi
&lt;/td&gt;
|-
        &lt;td&gt;17\48&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;425&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td style="text-align: center;"&gt;Squares is around here&lt;br /&gt;
| | 17\46
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | 443.48
    &lt;tr&gt;
| style="text-align:center;" | Sensi is around here
        &lt;td&gt;&lt;br /&gt;
|-
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | 10\27
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | 444.44
        &lt;td&gt;11\31&lt;br /&gt;
| style="text-align:center;" |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | 3\8
&lt;/td&gt;
| |
        &lt;td&gt;425.81&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | 450
    &lt;tr&gt;
| style="text-align:center;" |
        &lt;td&gt;&lt;br /&gt;
|}
&lt;/td&gt;
[[Category:mos]]
        &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;427.73&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = pi&lt;/span&gt;&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;5\14&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;428.57&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;L/s = 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;&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;430.41&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = e&lt;/span&gt;&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;14\39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;430.77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;23\64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;431.25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;9\25&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;432&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\11&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;436.36&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Boundary of propriety:&lt;br /&gt;
generators larger than this are proper&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;439.23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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\30&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;440&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&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;29\79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;440.51&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Unnamed golden temperament&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;18\49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;440.82&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&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;441.185&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&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;7\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;442.11&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Optimum rank range (L/s=3/2) sensi&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\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;443.48&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Sensi is around here&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;10\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;444.44&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&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;&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;450&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/3L_5s"