8L 1s: Difference between revisions

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**Imported revision 372495726 - Original comment: **
→Scale tree: Made the proposed table from the Talk page live, to restore the temperaments to the table
 
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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>
| Name = subneutralic
: This revision was by author [[User:guest|guest]] and made on <tt>2012-10-12 10:49:57 UTC</tt>.<br>
| Periods = 1
: The original revision id was <tt>372495726</tt>.<br>
| nLargeSteps = 8
: The revision comment was: <tt></tt><br>
| nSmallSteps = 1
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| Equalized = 1
<h4>Original Wikitext content:</h4>
| Collapsed = 1
<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 has a generator between 1/9edo (133 1/3 cents) and 1/8edo (150 cents). It thus generates a scale similar to nonatonic Indonesian gamelan scales (i.e. [[http://www.neuroscience-of-music.se/pelog_main.htm|Pelog]]and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher [[http://en.wikipedia.org/wiki/Raden_Machjar_Angga_Koesoemadinata|Raden Machjar Angga Koesoemadinata]] or a median between the two) with a generator narrower than 2/17edo and a largely-unknown scale family with a wider generator.
| Pattern = LLLLLLLLs
|| 1/9 ||  ||  ||  ||  || 133 1/3 || Bleu (start) ||
}}
||  ||  ||  || 5/44 ||  || 136 4/11 ||  ||
{{MOS intro}}
||  ||  ||  ||  || 9/79 || 136.70886 ||  ||
||  ||  || 4/35 ||  ||  || 137.14286 ||  ||
||  ||  ||  ||  || 11/96 || 137.5 ||  ||
||  ||  ||  || 7/61 ||  || 137.70492 ||  ||
||  ||  ||  ||  || 10/87 || 137.93103 ||  ||
||  || 3/26 ||  ||  ||  || 138.46154 || Bleu around here ||
||  ||  ||  ||  || 11/95 || 138.94737 ||  ||
||  ||  ||  || 8/69 ||  || 139.130435 ||  ||
||  ||  ||  ||  || 13/112 || 139.28571 ||  ||
||  ||  || 5/43 ||  ||  || 139.53488 ||  ||
||  ||  ||  ||  || 12/103 || 139.805825 ||  ||
||  ||  ||  || 7/60 ||  || 140 ||  ||
||  ||  ||  ||  || 9/77 || 140.25974 ||  ||
|| 2/17 ||  ||  ||  ||  || 141.17647 || Bleu (end) ||
||  ||  ||  ||  || 9/76 || 142.10526 ||  ||
||  ||  ||  || 7/59 ||  || 142.37288 ||  ||
||  ||  ||  ||  || 12/101 || 142 58/101 ||  ||
||  ||  || 5/42 ||  ||  || 142.85714 ||  ||
||  ||  ||  ||  || 13/109 || 143.11957 ||  ||
||  ||  ||  || 8/67 ||  || 143.28358 ||  ||
||  ||  ||  ||  || 11/92 || 143.47826 ||  ||
||  || 3/25 ||  ||  ||  || 144 ||  ||
||  ||  ||  ||  || 10/83 || 144.57831 ||  ||
||  ||  ||  || 7/58 ||  || 144.82759 ||  ||
||  ||  ||  ||  || 11/91 || 145 5/91 ||  ||
||  ||  || 4/33 ||  ||  || 145 5/11 ||  ||
||  ||  ||  ||  || 9/74 || 145 35/37 ||  ||
||  ||  ||  || 5/41 ||  || 146 14/41 ||  ||
|| 1/8 ||  ||  ||  ||  || 150 ||  ||</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;8L 1s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This MOS has a generator between 1/9edo (133 1/3 cents) and 1/8edo (150 cents). It thus generates a scale similar to nonatonic Indonesian gamelan scales (i.e. &lt;a class="wiki_link_ext" href="http://www.neuroscience-of-music.se/pelog_main.htm" rel="nofollow"&gt;Pelog&lt;/a&gt;and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Raden_Machjar_Angga_Koesoemadinata" rel="nofollow"&gt;Raden Machjar Angga Koesoemadinata&lt;/a&gt; or a median between the two) with a generator narrower than 2/17edo and a largely-unknown scale family with a wider generator.&lt;br /&gt;


8L 1s generates a scale similar to nonatonic [[Indonesian]] gamelan scales (i.e. [[Pelog]] and [[Slendro]] plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher [https://en.wikipedia.org/wiki/Raden_Machjar_Angga_Koesoemadinata Raden Machjar Angga Koesoemadinata] or a median between the two) with a generator narrower than 2\17edo, and a largely-unknown scale family with a wider generator.


&lt;table class="wiki_table"&gt;
== Intervals ==
    &lt;tr&gt;
{{MOS intervals}}
        &lt;td&gt;1/9&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;133 1/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bleu (start)&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;5/44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;136 4/11&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;9/79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;136.70886&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;4/35&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;137.14286&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;11/96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;137.5&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;7/61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;137.70492&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;10/87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;137.93103&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;3/26&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;138.46154&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bleu 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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/95&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;138.94737&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;8/69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;139.130435&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;13/112&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;139.28571&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;5/43&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;139.53488&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;12/103&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;139.805825&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;7/60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;140&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;9/77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;140.25974&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2/17&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;141.17647&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bleu (end)&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;9/76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;142.10526&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;7/59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;142.37288&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;12/101&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;142 58/101&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;5/42&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;142.85714&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;13/109&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;143.11957&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;8/67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;143.28358&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;11/92&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;143.47826&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;3/25&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;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;144&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;10/83&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;144.57831&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;7/58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;144.82759&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;11/91&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;145 5/91&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;4/33&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;145 5/11&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;9/74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;145 35/37&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;5/41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;146 14/41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1/8&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;150&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>
== Modes ==
{{MOS mode degrees}}
 
== Scale tree ==
{{MOS tuning spectrum
| 7/4 = [[Bleu]] is around here
| 9/5 = [[Tsaharuk]] and [[Quanic]] are around here
| 5/1 = [[Bohpier]] is around here
}}
 
{{todo|expand}}
[[Category:9-tone scales]]
[[Category:Gamelan]]

Latest revision as of 19:48, 5 May 2025

← 7L 1s 8L 1s 9L 1s →
↙ 7L 2s ↓ 8L 2s 9L 2s ↘ 
┌╥╥╥╥╥╥╥╥┬┐
│║║║║║║║║││
│││││││││││
└┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLLLs
sLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\9 to 1\8 (133.3 ¢ to 150.0 ¢)
Dark 7\8 to 8\9 (1050.0 ¢ to 1066.7 ¢)
TAMNAMS information
Name subneutralic
Prefix blu-
Abbrev. blu
Related MOS scales
Parent 1L 7s
Sister 1L 8s
Daughters 9L 8s, 8L 9s
Neutralized 7L 2s
2-Flought 17L 1s, 8L 10s
Equal tunings
Equalized (L:s = 1:1) 1\9 (133.3 ¢)
Supersoft (L:s = 4:3) 4\35 (137.1 ¢)
Soft (L:s = 3:2) 3\26 (138.5 ¢)
Semisoft (L:s = 5:3) 5\43 (139.5 ¢)
Basic (L:s = 2:1) 2\17 (141.2 ¢)
Semihard (L:s = 5:2) 5\42 (142.9 ¢)
Hard (L:s = 3:1) 3\25 (144.0 ¢)
Superhard (L:s = 4:1) 4\33 (145.5 ¢)
Collapsed (L:s = 1:0) 1\8 (150.0 ¢)

8L 1s, named subneutralic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 133.3 ¢ to 150 ¢, or from 1050 ¢ to 1066.7 ¢. Scales of this form are always proper because there is only one small step.

8L 1s generates a scale similar to nonatonic Indonesian gamelan scales (i.e. Pelog and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher Raden Machjar Angga Koesoemadinata or a median between the two) with a generator narrower than 2\17edo, and a largely-unknown scale family with a wider generator.

Intervals

Intervals of 8L 1s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-blustep Perfect 0-blustep P0blus 0 0.0 ¢
1-blustep Diminished 1-blustep d1blus s 0.0 ¢ to 133.3 ¢
Perfect 1-blustep P1blus L 133.3 ¢ to 150.0 ¢
2-blustep Minor 2-blustep m2blus L + s 150.0 ¢ to 266.7 ¢
Major 2-blustep M2blus 2L 266.7 ¢ to 300.0 ¢
3-blustep Minor 3-blustep m3blus 2L + s 300.0 ¢ to 400.0 ¢
Major 3-blustep M3blus 3L 400.0 ¢ to 450.0 ¢
4-blustep Minor 4-blustep m4blus 3L + s 450.0 ¢ to 533.3 ¢
Major 4-blustep M4blus 4L 533.3 ¢ to 600.0 ¢
5-blustep Minor 5-blustep m5blus 4L + s 600.0 ¢ to 666.7 ¢
Major 5-blustep M5blus 5L 666.7 ¢ to 750.0 ¢
6-blustep Minor 6-blustep m6blus 5L + s 750.0 ¢ to 800.0 ¢
Major 6-blustep M6blus 6L 800.0 ¢ to 900.0 ¢
7-blustep Minor 7-blustep m7blus 6L + s 900.0 ¢ to 933.3 ¢
Major 7-blustep M7blus 7L 933.3 ¢ to 1050.0 ¢
8-blustep Perfect 8-blustep P8blus 7L + s 1050.0 ¢ to 1066.7 ¢
Augmented 8-blustep A8blus 8L 1066.7 ¢ to 1200.0 ¢
9-blustep Perfect 9-blustep P9blus 8L + s 1200.0 ¢

Modes

Scale degrees of the modes of 8L 1s
UDP Cyclic
order 		Step
pattern 		Scale degree (bludegree)
0 1 2 3 4 5 6 7 8 9
8|0 1 LLLLLLLLs Perf. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Aug. Perf.
7|1 2 LLLLLLLsL Perf. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Perf.
6|2 3 LLLLLLsLL Perf. Perf. Maj. Maj. Maj. Maj. Maj. Min. Perf. Perf.
5|3 4 LLLLLsLLL Perf. Perf. Maj. Maj. Maj. Maj. Min. Min. Perf. Perf.
4|4 5 LLLLsLLLL Perf. Perf. Maj. Maj. Maj. Min. Min. Min. Perf. Perf.
3|5 6 LLLsLLLLL Perf. Perf. Maj. Maj. Min. Min. Min. Min. Perf. Perf.
2|6 7 LLsLLLLLL Perf. Perf. Maj. Min. Min. Min. Min. Min. Perf. Perf.
1|7 8 LsLLLLLLL Perf. Perf. Min. Min. Min. Min. Min. Min. Perf. Perf.
0|8 9 sLLLLLLLL Perf. Dim. Min. Min. Min. Min. Min. Min. Perf. Perf.

Scale tree

Scale tree and tuning spectrum of 8L 1s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\9 133.333 1066.667 1:1 1.000 Equalized 8L 1s
6\53 135.849 1064.151 6:5 1.200
5\44 136.364 1063.636 5:4 1.250
9\79 136.709 1063.291 9:7 1.286
4\35 137.143 1062.857 4:3 1.333 Supersoft 8L 1s
11\96 137.500 1062.500 11:8 1.375
7\61 137.705 1062.295 7:5 1.400
10\87 137.931 1062.069 10:7 1.429
3\26 138.462 1061.538 3:2 1.500 Soft 8L 1s
11\95 138.947 1061.053 11:7 1.571
8\69 139.130 1060.870 8:5 1.600
13\112 139.286 1060.714 13:8 1.625
5\43 139.535 1060.465 5:3 1.667 Semisoft 8L 1s
12\103 139.806 1060.194 12:7 1.714
7\60 140.000 1060.000 7:4 1.750 Bleu is around here
9\77 140.260 1059.740 9:5 1.800 Tsaharuk and Quanic are around here
2\17 141.176 1058.824 2:1 2.000 Basic 8L 1s
9\76 142.105 1057.895 9:4 2.250
7\59 142.373 1057.627 7:3 2.333
12\101 142.574 1057.426 12:5 2.400
5\42 142.857 1057.143 5:2 2.500 Semihard 8L 1s
13\109 143.119 1056.881 13:5 2.600
8\67 143.284 1056.716 8:3 2.667
11\92 143.478 1056.522 11:4 2.750
3\25 144.000 1056.000 3:1 3.000 Hard 8L 1s
10\83 144.578 1055.422 10:3 3.333
7\58 144.828 1055.172 7:2 3.500
11\91 145.055 1054.945 11:3 3.667
4\33 145.455 1054.545 4:1 4.000 Superhard 8L 1s
9\74 145.946 1054.054 9:2 4.500
5\41 146.341 1053.659 5:1 5.000 Bohpier is around here
6\49 146.939 1053.061 6:1 6.000
1\8 150.000 1050.000 1:0 → ∞ Collapsed 8L 1s
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