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>2010-06-14 23:22:14 UTC</tt>.<br>
: The original revision id was <tt>148864699</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 DIATONIC&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 (aka Armodue Third-tones)**
{{MOS intervals}}
3 3 3 2 3 3 3 3 2
 
3 3 2 3 3 3 2 3 3: __25edo__
=== Generator chain ===
4 4 4 1 4 4 4 4 1
{{MOS genchain}}
4 4 1 4 4 4 1 4 4: __30edo__
 
4 4 4 2 4 4 4 4 2
=== Modes ===
4 4 2 4 4 4 2 4 4: __32edo__
{{MOS mode degrees}}
4 4 4 3 4 4 4 4 3
 
4 4 3 4 4 4 3 4 4: __34edo__
=== Proposed mode names ===
5 5 5 1 5 5 5 5 1
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.
5 5 1 5 5 5 1 5 5: __37edo__
{{MOS modes
**5 5 5 2 5 5 5 5 2
| Table Headers=
5 5 2 5 5 5 2 5 5: __39edo__ (aka Armodue Fifth-tones)**
Super- Mode Names $
5 5 5 3 5 5 5 5 3
Ad- Mode Names (ground) $
5 5 3 5 5 5 3 5 5: __41edo__
| Table Entries=
6 6 6 2 6 6 6 6 2
Superlydian $
6 6 2 6 6 6 2 6 6: __46edo__
TBD $
6 6 6 3 6 6 6 6 3
Superionian $
6 6 3 6 6 6 3 6 6: __48edo__
Adlocrian $
6 6 6 4 6 6 6 6 4
Supermixolydian $
6 6 4 6 6 6 4 6 6: __50edo__
Adphrygian $
**7 7 7 3 7 7 7 7 3
Supercorinthian $
7 7 3 7 7 7 3 7 7: __55edo__ (aka Armodue Seventh-tones (VAYA! coincide con un Meantone :P))**
Adaeolian $
7 7 7 4 7 7 7 7 4
Superolympian $
7 7 4 7 7 7 4 7 7: __57edo__
Addorian $
7 7 7 5 7 7 7 7 5
Superdorian $
7 7 5 7 7 7 5 7 7: __59edo__</pre></div>
Admixolydian $
<h4>Original HTML content:</h4>
Superaeolian $
<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 DIATONIC"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #005727;"&gt;MAVILA DIATONIC&lt;/span&gt;&lt;/h1&gt;
Adionian $
&lt;br /&gt;
Superphrygian $
Form: L L L s L L L L s = Major Scale&lt;br /&gt;
Adlydian $
L L s L L L s L L = Minor Scale&lt;br /&gt;
Superlocrian $
&lt;br /&gt;
TBD
&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;br /&gt;
 
2 2 1 2 2 2 1 2 2: &lt;u&gt;16edo&lt;/u&gt; ARMODUE&lt;br /&gt;
== Note names==
3 3 3 1 3 3 3 3 1&lt;br /&gt;
7L&nbsp;2s, when viewed under Armodue theory, can be notated using Armodue notation.
3 3 1 3 3 3 1 3 3: &lt;u&gt;23edo&lt;/u&gt; HORNBOSTEL (aka Armodue Third-tones)&lt;/strong&gt;&lt;br /&gt;
 
3 3 3 2 3 3 3 3 2&lt;br /&gt;
== Theory ==
3 3 2 3 3 3 2 3 3: &lt;u&gt;25edo&lt;/u&gt;&lt;br /&gt;
=== Temperament interpretations ===
4 4 4 1 4 4 4 4 1&lt;br /&gt;
[[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.
4 4 1 4 4 4 1 4 4: &lt;u&gt;30edo&lt;/u&gt;&lt;br /&gt;
 
4 4 4 2 4 4 4 4 2&lt;br /&gt;
== Scale tree ==
4 4 2 4 4 4 2 4 4: &lt;u&gt;32edo&lt;/u&gt;&lt;br /&gt;
{{MOS tuning spectrum
4 4 4 3 4 4 4 4 3&lt;br /&gt;
| 1/1 = Near exact-7/6 [[Pelogic_family#Armodue|Armodue]]
4 4 3 4 4 4 3 4 4: &lt;u&gt;34edo&lt;/u&gt;&lt;br /&gt;
| 4/3 = Near exact-20/17 [[Pentagoth]]
5 5 5 1 5 5 5 5 1&lt;br /&gt;
| 7/5 = Near exact-5/4 [[Mavila]]
5 5 1 5 5 5 1 5 5: &lt;u&gt;37edo&lt;/u&gt;&lt;br /&gt;
| 3/2 = Near exact-13/11 Pentagoth
&lt;strong&gt;5 5 5 2 5 5 5 5 2&lt;br /&gt;
| 7/4 = Near exact-7/4 [[Pelogic_family#Armodue|Armodue]]
5 5 2 5 5 5 2 5 5: &lt;u&gt;39edo&lt;/u&gt; (aka Armodue Fifth-tones)&lt;/strong&gt;&lt;br /&gt;
| 10/3 = Near exact-6/5 [[Mavila]]
5 5 5 3 5 5 5 5 3&lt;br /&gt;
| 6/1 = [[Gravity]] ↓
5 5 3 5 5 5 3 5 5: &lt;u&gt;41edo&lt;/u&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;u&gt;46edo&lt;/u&gt;&lt;br /&gt;
[[Category:9-tone scales]]
6 6 6 3 6 6 6 6 3&lt;br /&gt;
[[Category:Mavila]]
6 6 3 6 6 6 3 6 6: &lt;u&gt;48edo&lt;/u&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;u&gt;50edo&lt;/u&gt;&lt;br /&gt;
&lt;strong&gt;7 7 7 3 7 7 7 7 3&lt;br /&gt;
7 7 3 7 7 7 3 7 7: &lt;u&gt;55edo&lt;/u&gt; (aka Armodue Seventh-tones (VAYA! coincide con un Meantone :P))&lt;/strong&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;u&gt;57edo&lt;/u&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;u&gt;59edo&lt;/u&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>