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1L 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:guest|guest]] and made on <tt>2011-08-27 23:53:25 UTC</tt>.<br>
| nLargeSteps = 1
: The original revision id was <tt>248858387</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 = 1
<h4>Original Wikitext content:</h4>
| Pattern = Lsssss
<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 notable low-harmonic-entropy scales with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as [[roulette6]], the six note haplitonic scale for the roulette [[Chromatic pair]].
}}


Other scales include very improper (incomplete) versions of porcupine, negri, etc.
{{MOS intro}}
||||||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 0\1 ||  ||  ||  ||  ||  ||  || 0 ||  ||
||  ||  || 1\8 ||  ||  ||  ||  || 150 ||  ||
||  ||  ||  || 2\15 ||  ||  ||  || 160 ||  ||
||  ||  ||  ||  || 3\22 ||  ||  || 163.64 || Porcupine is around here ||
||  || 1\7 ||  ||  ||  ||  ||  || 171.43 ||= Boundary of propriety
(generators larger than this are proper) ||
||  ||  ||  ||  ||  || 5\34 ||  || 176.47 || Tetracot is around here ||
||  ||  ||  ||  || 4\27 ||  ||  || 177.78 ||  ||
||  ||  ||  || 3\20 ||  ||  ||  || 180 ||  ||
||  ||  ||  ||  ||  || 8\53 ||  || 181.13 ||  ||
||  ||  ||  ||  ||  ||  || 13\86 || 181.40 || Unnamed golden temperament ||
||  ||  ||  ||  || 5\33 ||  ||  || 181.82 ||  ||
||  ||  || 2\13 ||  ||  ||  ||  || 184.62 ||  ||
||  ||  ||  || 3\19 ||  ||  ||  || 189.47 ||  ||
||  ||  ||  ||  || 4\25 ||  ||  || 192 ||  ||
||  ||  ||  ||  ||  || 5\31 ||  || 193.55 ||  ||
||  ||  ||  ||  ||  ||  || 6\37 || 194.59 || Luna/Hemithird/Roulette is around here: [[roulette6]] ||
|| 1\6 ||  ||  ||  ||  ||  ||  || 200 ||  ||</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;1L 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are two notable low-harmonic-entropy scales with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern. The first is &lt;a class="wiki_link" href="/Tetracot%20family"&gt;tetracot&lt;/a&gt;, in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments &amp;quot;luna&amp;quot;, &amp;quot;hemithird&amp;quot;, and &amp;quot;hemiwürschmidt&amp;quot; all have 6-note MOSes that are very similar. But perhaps it is best known as &lt;a class="wiki_link" href="/roulette6"&gt;roulette6&lt;/a&gt;, the six note haplitonic scale for the roulette &lt;a class="wiki_link" href="/Chromatic%20pair"&gt;Chromatic pair&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
Other scales include very improper (incomplete) versions of porcupine, negri, etc.&lt;br /&gt;


There are two notable low-harmonic-entropy scales with this [[MOS scale|MOS]] pattern. The first is [[tetracot]], in which four [[generator]]s make a [[3/2]].


&lt;table class="wiki_table"&gt;
The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "[[luna]]", "[[hemithird]]", and "[[hemiwürschmidt]]" all have [[hexatonic|6-note]] MOSes that are very similar. But perhaps it is best known as [[roulette6]], the six note haplitonic scale for the roulette [[Chromatic pair]].
    &lt;tr&gt;
        &lt;th colspan="7"&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;
    &lt;tr&gt;
        &lt;td&gt;0\1&lt;br /&gt;
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&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
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&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;150&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\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;160&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;3\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;163.64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Porcupine 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;1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;171.43&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;
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&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;176.47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Tetracot is around here&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;4\27&lt;br /&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;177.78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;3\20&lt;br /&gt;
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&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;180&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;181.13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;181.40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&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;
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&lt;/td&gt;
        &lt;td&gt;5\33&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;181.82&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;2\13&lt;br /&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;184.62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;3\19&lt;br /&gt;
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&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;189.47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;4\25&lt;br /&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;192&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;&lt;br /&gt;
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        &lt;td&gt;5\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;193.55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
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        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;194.59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Luna/Hemithird/Roulette is around here: &lt;a class="wiki_link" href="/roulette6"&gt;roulette6&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1\6&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;200&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
This scale can be seen as the equal-tempered whole-tone scale ([[6edo]]), but with one "whole tone" that is larger than the others.
 
Other scales include very improper (incomplete) versions of [[porcupine]], [[negri]], etc.
 
== Scale properties ==
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
== Scales ==
=== Scale list ===
* [[Roulette6]]
* [[Tutone6]]
* [[Deutone6]]
* [[Leantone6]]
* [[Glacial6]]
 
=== Scale tree ===
{{MOS tuning spectrum
| 6/5 = [[Luna]]/[[hemithirds]]/[[hemiwürschmidt]]<br />[[Didacus]]/[[roulette]]<br />[[Isra]]/[[tutone]]/[[leantone]]
| 5/4 = Isra/leantone
| 9/7 = Isra/deutone
| 4/3 = [[Spell]]
| 3/2 = [[Glacial]]
| 13/8 = Wilson Golden 2 (1018.6773{{c}})
| 9/5 = [[Tetracot]]
| 7/3 = [[Porcupine]] (incomplete)
| 12/5 = Porcupine/[[porcupinefish]]
| 13/5 = Wilson Golden 1 (1042.4790{{c}})
| 11/4 = [[Nusecond]]
| 7/2 = [[Progression]] (incomplete)
| 9/2 = [[Negri]] (incomplete)
| 5/1 = [[Miracle]] (incomplete)
| 6/1 = [[Passion]] (incomplete) ↓, [[ripple]] (incomplete) ↓
}}
 
[[Category:6-tone scales]]
Retrieved from "https://en.xen.wiki/w/1L_5s"