Xenharmonic Wiki

9L 2s: Difference between revisions

VisualWikitext
Wikispaces>JosephRuhf
**Imported revision 376599068 - Original comment: **
 
ArrowHead294 (talk | contribs)
15,213 edits
mNo edit summary
 
(25 intermediate revisions by 14 users not shown)
Line 1: Line 1:
<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 =  
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-10-26 00:04:58 UTC</tt>.<br>
| Periods = 1
: The original revision id was <tt>376599068</tt>.<br>
| nLargeSteps = 9
: The revision comment was: <tt></tt><br>
| nSmallSteps = 2
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| Equalized = 6
<h4>Original Wikitext content:</h4>
| Collapsed = 5
<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, generated by an approximate 15/11 of 4/9edo (533 1/3 cents) to 5/11edo (545 5/11), represents temperaments like Avila (narrow generator) and Casablanca (wide). However, its major triad, 15:13:11, is slightly more complicated than that of Meantone/Mavila (-4, 5 vs. -3, 4).
| Pattern = LLLLLsLLLLs
|| 4/9 ||  ||  ||  ||  || 533 1/3 ||
}}
||  ||  ||  ||  || 21/47 || 536.170213 ||
{{MOS intro}}
||  ||  ||  || 17/38 ||  || 536.842105 ||
||  ||  ||  ||  || 30/67 || 537.313433 ||
||  ||  || 13/29 ||  ||  || 537.9310345 ||
||  ||  ||  ||  || 35/78 || 538 6/13 ||
||  ||  ||  || 22/49 ||  || 538.775510 ||
||  ||  ||  ||  || 31/69 || 539.130435 ||
||  || 9/20 ||  ||  ||  || 540 ||
||  ||  ||  ||  || 32/71 || 540.845070 ||
||  ||  ||  || 23/51 ||  || 541.176471 ||
||  ||  ||  ||  || 37/82 || 541 19/41 ||
||  ||  || 14/31 ||  ||  || 541.935484 ||
||  ||  ||  ||  || 33/73 || 542.465753 ||
||  ||  ||  || 19/42 ||  || 542 6/7 ||
||  ||  ||  ||  || 24/53 || 543.396226 ||
|| 5/11 ||  ||  ||  ||  || 545 5/11 ||</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;9L 2s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This MOS, generated by an approximate 15/11 of 4/9edo (533 1/3 cents) to 5/11edo (545 5/11), represents temperaments like Avila (narrow generator) and Casablanca (wide). However, its major triad, 15:13:11, is slightly more complicated than that of Meantone/Mavila (-4, 5 vs. -3, 4).&lt;br /&gt;


It represents temperaments like [[Avila]] (narrow generator) and [[Casablanca]] (wide). [[User:CompactStar|CompactStar]] has suggested the names '''ultradiatonic''' and '''superarmotonic''' by analogy to [[7L&nbsp;2s]]'s name of superdiatonic, while [[User:Ganaram inukshuk|Ganaram Inukshuk]] has suggested '''villatonic''' as a reference to the aforementioned Avila and Casablanca.


&lt;table class="wiki_table"&gt;
== Scale properties ==
    &lt;tr&gt;
{{TAMNAMS use}}
        &lt;td&gt;4/9&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;533 1/3&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;21/47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;536.170213&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;17/38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;536.842105&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;30/67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;537.313433&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;13/29&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;537.9310345&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;35/78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;538 6/13&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;22/49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;538.775510&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;31/69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;539.130435&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/20&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;540&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;32/71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;540.845070&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;23/51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;541.176471&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;37/82&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;541 19/41&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;14/31&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;541.935484&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;33/73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;542.465753&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;19/42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;542 6/7&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;24/53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;543.396226&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/11&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;545 5/11&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
=== Proposed names ===
{{MOS modes
| Mode Names=
Ultralydian $
Ultraionian $
Ultramixolydian $
Ultracorinthian $
Ultraolympian $
Ultralycian $
Ultrapisidian $
Ultradorian $
Ultraaeolian $
Ultraphrygian $
Ultralocrian $
}}
 
== Scale tree ==
{{MOS tuning spectrum}}
 
{{todo|expand}}
 
[[Category:11-tone scales]]
Retrieved from "https://en.xen.wiki/w/9L_2s"