1L 8s: 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>2012-10-26 11:09:37 UTC</tt>.<br>
+| nLargeSteps = 1
-: The original revision id was <tt>376710850</tt>.<br>
+| nSmallSteps = 8
-: The revision comment was: <tt></tt><br>
+| Equalized = 8
-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 = Lssssssss
-<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, with a generator of up to 1/9edo (133 1/3 cents), represents temperaments like Miracle (2&lt;L&lt;3 s=1) and Negri (3&lt;L&lt;4 s=2). Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an </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 8s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This MOS, with a generator of up to 1/9edo (133 1/3 cents), represents temperaments like Miracle (2&amp;lt;L&amp;lt;3 s=1) and Negri (3&amp;lt;L&amp;lt;4 s=2). Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an&lt;/body&gt;&lt;/html&gt;</pre></div>
+{{MOS intro}}
+This MOS represents temperaments like [[Miracle]] and [[Negri]]. Of all the temperaments it represents, the [[harmonic entropy]] minimum is the one where the scale is generated by an interval near [[28edo|3\28]] (around [[14/13]]).
+== Modes ==
+{{MOS modes}}
+=== Degrees ===
+{{MOS mode degrees}}
+== Intervals ==
+{{MOS intervals}}
+== Scale tree ==
+Generator ranges:
+* Chroma-positive generator: 1066.6667 cents (8\9) to 1200 cents (1\1)
+* Chroma-negative generator: 0 cents (0\1) to 133.3333 cents (1\9)
+{| class="wikitable center-all"
+! colspan="6" | Small step <br><span style="font-size:0.85em">(chroma-negative generator)</span>
+! Cents
+! L
+! s
+! L/s
+! Comments
+|-
+| 1\9 || || || || || || 133.333 || 1 || 1 || 1.000 ||
+|-
+| || || || || || 5\46 || 130.435 || 6 || 5 || 1.200 ||
+|-
+| || || || || 4\37 || || 129.730 || 5 || 4 || 1.250 ||
+|-
+| || || || || || 7\65 || 129.231 || 9 || 7 || 1.286 ||
+|-
+| || || || 3\28 || || || 128.571 || 4 || 3 || 1.333 ||
+|-
+| || || || || || 8\75 || 128.000 || 11 || 8 || 1.375 ||
+|-
+| || || || || 5\47 || || 127.660 || 7 || 5 || 1.400 ||
+|-
+| || || || || || 7\66 || 127.273 || 10 || 7 || 1.429 ||
+|-
+| || || 2\19 || || || || 126.316 || 3 || 2 || 1.500 || [[Negri]]
+|-
+| || || || || || 7\67 || 125.373 || 11 || 7 || 1.571 ||
+|-
+| || || || || 5\48 || || 125.000 || 8 || 5 || 1.600 ||
+|-
+| || || || || || 8\77 || 124.675 || 13 || 8 || 1.625 || Golden negri (124.7656¢)
+|-
+| || || || 3\29 || || || 124.138 || 5 || 3 || 1.667 ||
+|-
+| || || || || || 7\68 || 123.529 || 12 || 7 || 1.714 ||
+|-
+| || || || || 4\39 || || 123.077 || 7 || 4 || 1.750 ||
+|-
+| || || || || || 5\49 || 122.449 || 9 || 5 || 1.800 ||
+|-
+| || 1\10 || || || || || 120.000 || 2 || 1 || 2.000 || Basic 1L 8s <br>(small steps larger than this are proper)
+|-
+| || || || || || 4\41 || 117.073 || 9 || 4 || 2.250 || [[Miracle]]
+|-
+| || || || || 3\31 || || 116.129 || 7 || 3 || 2.333 || Miracle/[[revelation]]
+|-
+| || || || || || 5\52 || 115.385 || 12 || 5 || 2.400 ||
+|-
+| || || || 2\21 || || || 114.286 || 5 || 2 || 2.500 ||
+|-
+| || || || || || 5\53 || 113.208 || 13 || 5 || 2.600 || Golden [[misneb]] (113.0153¢)
+|-
+| || || || || 3\32 || || 112.500 || 8 || 3 || 2.667 ||
+|-
+| || || || || || 4\43 || 111.628 || 11 || 4 || 2.750 ||
+|-
+| || || 1\11 || || || || 109.091 || 3 || 1 || 3.000 ||
+|-
+| || || || || || 3\34 || 105.882 || 10 || 3 || 3.333 ||
+|-
+| || || || || 2\23 || || 104.348 || 7 || 2 || 3.500 ||
+|-
+| || || || || || 3\35 || 102.857 || 11 || 3 || 3.667 ||
+|-
+| || || || 1\12 || || || 100.000 || 4 || 1 || 4.000 || [[Ripple]]
+|-
+| || || || || || 2\25 || 96.000 || 9 || 2 || 4.500 || [[Passion]]
+|-
+| || || || || 1\13 || || 92.308 || 5 || 1 || 5.000 ||
+|-
+| || || || || || 1\14 || 85.714 || 6 || 1 || 6.000 ||
+|-
+| 0\1 || || || || || || 0.000 || 1 || 0 || → inf ||
+|}
+{{todo|expand}}
+[[Category:9-tone scales]]