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4L 1s: 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>
{{MOS intro}}
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-11-19 21:18:20 UTC</tt>.<br>
The scale with the lowest harmonic entropy for this [[mos]] pattern is [[semaphore]], in which two generators make a [[4/3]]. The other interesting scale is [[orwell]], in which the generator is approximately [[7/6]] and three of them make an [[8/5]].
: The original revision id was <tt>384207962</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">The scale with the lowest harmonic entropy for this [[MOSScales|MOS]] pattern is [[semaphore]], in which two generators make a 4/3. The other interesting scale is [[Semicomma family|orwell]], in which the generator is approximately 7/6 and three of them make an 8/5.


All scales of this form are necessarily proper (because there is only one small step).
== Names ==
||||||||||||~ Generator ||~ Cents ||~ s ||~ L-s ||~ Comments ||
The [[TAMNAMS]] system uses the name '''manual''', a name that is thematically inspired by the Latin word "manus".
|| 1\5 ||  ||  ||  ||  ||  || 240 || 240 || 0 ||=   ||
||  ||  ||  ||  || 5\24 ||  || 250 || 200 || 50 ||= Semaphore is around here ||
||  ||  ||  || 4\19 ||  ||  || 252.63 || 189.47 || 63.16 ||=   ||
||  ||  || 3\14 ||  ||  ||  || 257.14 || 171.43 || 85.71 ||=   ||
||  ||  ||  ||  || 8\37 ||  || 259.46 || 162.16 || 97.3 ||=  ||
||  ||  ||  ||  ||  ||  || 1200/(3+phi) || 160.6 || 99.25 ||= Golden [[bug]] / golden [[superpelog]] ||
||  ||  ||  || 5\23 ||  ||  || 260.87 || 156.52 || 104.35 ||=  ||
||  || 2\9 ||  ||  ||  ||  || 266.67 || 133.33 || 133.33 ||= Optimum rank range (L/s=2/1) bug ||
||  ||  ||  ||  || 7\31 ||  || 270.97 || 116.13 || 154.84 ||=  ||
||  ||  ||  ||  ||  || 12\53 || 271.70 || 113.21 || 158.49 ||= Orwell is around here ||
||  ||  ||  || 5\22 ||  ||  || 272.73 || 109.09 || 163.64 ||=  ||
||  ||  || 3\13 ||  ||  ||  || 276.92 || 92.31 || 184.62 ||= Boundary of "practicality" begins around here ||
||  ||  ||  || 4\17 ||  ||  || 282.35 || 70.59 || 211.76 ||= Boundary of "practicality" ends around here ||
|| 1\4 ||  ||  ||  ||  ||  || 300 || 0 || 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 1s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The scale with the lowest harmonic entropy for this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern is &lt;a class="wiki_link" href="/semaphore"&gt;semaphore&lt;/a&gt;, in which two generators make a 4/3. The other interesting scale is &lt;a class="wiki_link" href="/Semicomma%20family"&gt;orwell&lt;/a&gt;, in which the generator is approximately 7/6 and three of them make an 8/5.&lt;br /&gt;
&lt;br /&gt;
All scales of this form are necessarily proper (because there is only one small step).&lt;br /&gt;


== Intervals ==
{{MOS intervals}}


&lt;table class="wiki_table"&gt;
== Modes ==
    &lt;tr&gt;
Modes of 4L 1s can be named systematically either with [[modal UDP notation]], rotational order (with 1 being the [[bright]]est mode) or the [[step pattern]].
        &lt;th colspan="6"&gt;Generator&lt;br /&gt;
{{MOS mode degrees}}
&lt;/th&gt;
        &lt;th&gt;Cents&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;s&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;L-s&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Comments&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1\5&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;240&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;240&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&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;5\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;250&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;200&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;50&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Semaphore 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;4\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;252.63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;189.47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;63.16&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;3\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;257.14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;171.43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;85.71&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;8\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;259.46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;162.16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;97.3&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;1200/(3+phi)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;160.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;99.25&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Golden &lt;a class="wiki_link" href="/bug"&gt;bug&lt;/a&gt; / golden &lt;a class="wiki_link" href="/superpelog"&gt;superpelog&lt;/a&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;5\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;260.87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;156.52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;104.35&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;2\9&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;266.67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;133.33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;133.33&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Optimum rank range (L/s=2/1) bug&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;7\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;270.97&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;116.13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;154.84&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;12\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;271.70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;113.21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;158.49&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Orwell 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;5\22&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;272.73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;109.09&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;163.64&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;3\13&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;276.92&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;92.31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;184.62&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Boundary of &amp;quot;practicality&amp;quot; begins 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;4\17&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;282.35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;70.59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;211.76&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Boundary of &amp;quot;practicality&amp;quot; ends around here&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;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;300&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>
=== Proposed names ===
Additionally, [[User: CellularAutomaton|CellularAutomaton]] has proposed names based on Latin names for fingers of the hand for increased distinctiveness and memorability.
{| class="wikitable mw-collapsible mw-collapsed"
|+ style=white-space:nowrap | Modes names of 4L 1s
! UDP
! Step pattern
! CellularAutomaton's names
|-
| 4|0
| LLLLs
| Minimal
|-
| 3|1
| LLLsL
| Medicinal
|-
| 2|2
| LLsLL
| Medial
|-
| 1|3
| LsLLL
| Indical
|-
| 0|4
| sLLLL
| Pollical
|}
 
== Scale tree ==
{{MOS tuning spectrum
| 6/5 = [[Immunity]]↑
| 5/4 = [[Semaphore]]
| 4/3 = [[Godzilla]]
| 13/8 = Golden [[bug]]
| 5/3 = [[Superpelog]]
| 9/5 = [[Septimin]]
| 9/4 = [[Infraorwell]]
| 12/5 = [[Orwell]]
| 9/2 = [[Subklei]]
| 6/1 = [[Quasitemp]]↓
}}
 
[[Category:Manual]]
[[Category:5-tone scales]]
Retrieved from "https://en.xen.wiki/w/4L_1s"