7L 2s: 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>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-03-17 03:51:49 UTC</tt>.<br>
: The original revision id was <tt>211314830</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">=&lt;span style="color: #005727;"&gt;MAVILA SUPERDIATONIC&lt;/span&gt;=


Form: L L L s L L L L s = Major Scale
{{MOS intro}}
L L s L L L s L L = Minor Scale
Scales of this form are strongly associated with [[Armodue theory]], as applied to septimal mavila and Hornbostel temperaments. [[Trismegistus]] is also a usable temperament.
== Name ==
The [[TAMNAMS]] name for this pattern is '''armotonic''', in reference to Armodue theory. '''Superdiatonic''' is also in use.


**__Equal Temperaments:__**
== Scale properties ==
**2 2 2 1 2 2 2 2 1**
{{TAMNAMS use}}
**2 2 1 2 2 2 1 2 2: [[16edo]] ARMODUE**


**3 3 3 1 3 3 3 3 1**
=== Intervals ===
**3 3 1 3 3 3 1 3 3: [[23edo]] HORNBOSTEL Type (aka Armodue Third-tones)**
{{MOS intervals}}


3 3 3 2 3 3 3 3 2
=== Generator chain ===
3 3 2 3 3 3 2 3 3: [[25edo]] **MESOTONIC Type (aka Armodue 1/3-tone)**
{{MOS genchain}}


4 4 4 1 4 4 4 4 1
=== Modes ===
4 4 1 4 4 4 1 4 4: [[30edo]]
{{MOS mode degrees}}


4 4 4 2 4 4 4 4 2
=== Proposed mode names ===
4 4 2 4 4 4 2 4 4: [[32edo]]
The Ad- mode names proposed by [[groundfault]] have the feature of matching up the middle 7 modes with the antidiatonic mode names in the generator arc.
{{MOS modes
| Table Headers=
Super- Mode Names $
Ad- Mode Names (ground) $
| Table Entries=
Superlydian $
TBD $
Superionian $
Adlocrian $
Supermixolydian $
Adphrygian $
Supercorinthian $
Adaeolian $
Superolympian $
Addorian $
Superdorian $
Admixolydian $
Superaeolian $
Adionian $
Superphrygian $
Adlydian $
Superlocrian $
TBD
}}


4 4 4 3 4 4 4 4 3
== Note names==
4 4 3 4 4 4 3 4 4: [[34edo]]
7L&nbsp;2s, when viewed under Armodue theory, can be notated using Armodue notation.


5 5 5 1 5 5 5 5 1
== Theory ==
5 5 1 5 5 5 1 5 5: [[37edo]]
=== Temperament interpretations ===
[[Pelogic family#Mavila|Mavila]] is an important harmonic entropy minimum here, insofar as 670-680{{c}} can be considered a fifth. Other temperaments include septimal mavila, hornbostel, and trismegistus.


**5 5 5 2 5 5 5 5 2**
== Scale tree ==
**5 5 2 5 5 5 2 5 5: [[39edo]] (Armodue-Hornbostel Fifth-tones)**
{{MOS tuning spectrum
| 1/1 = Near exact-7/6 [[Pelogic_family#Armodue|Armodue]]
| 4/3 = Near exact-20/17 [[Pentagoth]]
| 7/5 = Near exact-5/4 [[Mavila]]
| 3/2 = Near exact-13/11 Pentagoth
| 7/4 = Near exact-7/4 [[Pelogic_family#Armodue|Armodue]]
| 10/3 = Near exact-6/5 [[Mavila]]
| 6/1 = [[Gravity]]
}}


5 5 5 3 5 5 5 5 3
[[Category:9-tone scales]]
5 5 3 5 5 5 3 5 5: [[41edo]] **(Armodue-Mesotonic 1/5-tone)**
[[Category:Mavila]]
 
6 6 6 2 6 6 6 6 2
6 6 2 6 6 6 2 6 6: [[46edo]]
 
6 6 6 3 6 6 6 6 3
6 6 3 6 6 6 3 6 6: [[48edo]]
 
6 6 6 4 6 6 6 6 4
6 6 4 6 6 6 4 6 6: [[50edo]]
 
**7 7 7 3 7 7 7 7 3**
**7 7 3 7 7 7 3 7 7: [[55edo]] (Armodue-Hornbostel Seventh-tones (WOW! coincide with a Meantone :P))**
 
7 7 7 4 7 7 7 7 4
7 7 4 7 7 7 4 7 7: [[57edo]] **(Armodue-Mesotonic 1/7-tone)**
 
7 7 7 5 7 7 7 7 5
7 7 5 7 7 7 5 7 7: [[59edo]]
 
8 8 8 3 8 8 8 8 3
8 8 3 8 8 8 3 8 8: [[62edo]] **(Armodue-Hornbostel Eight-tones)**
 
8 8 8 4 8 8 8 8 4
8 8 4 8 8 8 4 8 8: [[64edo]]
 
8 8 8 5 8 8 8 8 5
8 8 5 8 8 8 5 8 8: [[66edo]]
 
9 9 9 3 9 9 9 9 3
9 9 3 9 9 9 3 9 9: [[69edo]] **(Armodue-Hornbostel Ninth-tones)**
 
9 9 9 4 9 9 9 9 4
9 9 4 9 9 9 4 9 9: [[71edo]]
 
**9 9 9 5 9 9 9 9 5**
**9 9 5 9 9 9 5 9 9:** [[73edo]] **(Armodue-Mesotonic 1/9-tone (with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706,8 Cents]))**
 
**11 11 11 4 11 11 11 11 4**
**11 11 4 11 11 11 4 11 11**: [[85edo]] **(Armodue-Hornbostel Eleventh-tones)**
 
11 11 11 5 11 11 11 11 5
11 11 5 11 11 11 5 11 11: [[87edo]]
 
11 11 11 6 11 11 11 11 6
11 11 6 11 11 11 6 11 11: [[89edo]] **(Armodue-Mesotonic 1/11-tone)**</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;7L 2s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="MAVILA SUPERDIATONIC"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #005727;"&gt;MAVILA SUPERDIATONIC&lt;/span&gt;&lt;/h1&gt;
&lt;br /&gt;
Form: L L L s L L L L s = Major Scale&lt;br /&gt;
L L s L L L s L L = Minor Scale&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;&lt;u&gt;Equal Temperaments:&lt;/u&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;2 2 2 1 2 2 2 2 1&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;2 2 1 2 2 2 1 2 2: &lt;a class="wiki_link" href="/16edo"&gt;16edo&lt;/a&gt; ARMODUE&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;3 3 3 1 3 3 3 3 1&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;3 3 1 3 3 3 1 3 3: &lt;a class="wiki_link" href="/23edo"&gt;23edo&lt;/a&gt; HORNBOSTEL Type (aka Armodue Third-tones)&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
3 3 3 2 3 3 3 3 2&lt;br /&gt;
3 3 2 3 3 3 2 3 3: &lt;a class="wiki_link" href="/25edo"&gt;25edo&lt;/a&gt; &lt;strong&gt;MESOTONIC Type (aka Armodue 1/3-tone)&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
4 4 4 1 4 4 4 4 1&lt;br /&gt;
4 4 1 4 4 4 1 4 4: &lt;a class="wiki_link" href="/30edo"&gt;30edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
4 4 4 2 4 4 4 4 2&lt;br /&gt;
4 4 2 4 4 4 2 4 4: &lt;a class="wiki_link" href="/32edo"&gt;32edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
4 4 4 3 4 4 4 4 3&lt;br /&gt;
4 4 3 4 4 4 3 4 4: &lt;a class="wiki_link" href="/34edo"&gt;34edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
5 5 5 1 5 5 5 5 1&lt;br /&gt;
5 5 1 5 5 5 1 5 5: &lt;a class="wiki_link" href="/37edo"&gt;37edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;5 5 5 2 5 5 5 5 2&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;5 5 2 5 5 5 2 5 5: &lt;a class="wiki_link" href="/39edo"&gt;39edo&lt;/a&gt; (Armodue-Hornbostel Fifth-tones)&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
5 5 5 3 5 5 5 5 3&lt;br /&gt;
5 5 3 5 5 5 3 5 5: &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; &lt;strong&gt;(Armodue-Mesotonic 1/5-tone)&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
6 6 6 2 6 6 6 6 2&lt;br /&gt;
6 6 2 6 6 6 2 6 6: &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
6 6 6 3 6 6 6 6 3&lt;br /&gt;
6 6 3 6 6 6 3 6 6: &lt;a class="wiki_link" href="/48edo"&gt;48edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
6 6 6 4 6 6 6 6 4&lt;br /&gt;
6 6 4 6 6 6 4 6 6: &lt;a class="wiki_link" href="/50edo"&gt;50edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;7 7 7 3 7 7 7 7 3&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;7 7 3 7 7 7 3 7 7: &lt;a class="wiki_link" href="/55edo"&gt;55edo&lt;/a&gt; (Armodue-Hornbostel Seventh-tones (WOW! coincide with a Meantone :P))&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
7 7 7 4 7 7 7 7 4&lt;br /&gt;
7 7 4 7 7 7 4 7 7: &lt;a class="wiki_link" href="/57edo"&gt;57edo&lt;/a&gt; &lt;strong&gt;(Armodue-Mesotonic 1/7-tone)&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
7 7 7 5 7 7 7 7 5&lt;br /&gt;
7 7 5 7 7 7 5 7 7: &lt;a class="wiki_link" href="/59edo"&gt;59edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
8 8 8 3 8 8 8 8 3&lt;br /&gt;
8 8 3 8 8 8 3 8 8: &lt;a class="wiki_link" href="/62edo"&gt;62edo&lt;/a&gt; &lt;strong&gt;(Armodue-Hornbostel Eight-tones)&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
8 8 8 4 8 8 8 8 4&lt;br /&gt;
8 8 4 8 8 8 4 8 8: &lt;a class="wiki_link" href="/64edo"&gt;64edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
8 8 8 5 8 8 8 8 5&lt;br /&gt;
8 8 5 8 8 8 5 8 8: &lt;a class="wiki_link" href="/66edo"&gt;66edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
9 9 9 3 9 9 9 9 3&lt;br /&gt;
9 9 3 9 9 9 3 9 9: &lt;a class="wiki_link" href="/69edo"&gt;69edo&lt;/a&gt; &lt;strong&gt;(Armodue-Hornbostel Ninth-tones)&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
9 9 9 4 9 9 9 9 4&lt;br /&gt;
9 9 4 9 9 9 4 9 9: &lt;a class="wiki_link" href="/71edo"&gt;71edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;9 9 9 5 9 9 9 9 5&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;9 9 5 9 9 9 5 9 9:&lt;/strong&gt; &lt;a class="wiki_link" href="/73edo"&gt;73edo&lt;/a&gt; &lt;strong&gt;(Armodue-Mesotonic 1/9-tone (with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706,8 Cents]))&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;11 11 11 4 11 11 11 11 4&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;11 11 4 11 11 11 4 11 11&lt;/strong&gt;: &lt;a class="wiki_link" href="/85edo"&gt;85edo&lt;/a&gt; &lt;strong&gt;(Armodue-Hornbostel Eleventh-tones)&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
11 11 11 5 11 11 11 11 5&lt;br /&gt;
11 11 5 11 11 11 5 11 11: &lt;a class="wiki_link" href="/87edo"&gt;87edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
11 11 11 6 11 11 11 11 6&lt;br /&gt;
11 11 6 11 11 11 6 11 11: &lt;a class="wiki_link" href="/89edo"&gt;89edo&lt;/a&gt; &lt;strong&gt;(Armodue-Mesotonic 1/11-tone)&lt;/strong&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>