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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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| en = Mohajira
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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<h4>Original Wikitext content:</h4>
'''Mohajira'''<ref group="note">(/mʊˈhɑːdʒɪɹə, -hæ-/ ''muu-HA(H)-jirr-ə'' or /məˈhɑːdʒɪɹə, -hæ-/ ''mə-HA(H)-jirr-ə'', named by Jacques Dudon from Arabic مهاجرة ''Muhājirah'')</ref> is a [[Meantone_family#Mohajira|meantone]] temperament that splits 3/2 into two 11/9 generators and the 6/5 into two 11/10's, thus equating 11/10 with 12/11 and 11/9 with 27/22. As a result, eight 11/9s reach 5/4, and five reach 11/8. It tempers the biyatisma ([[121/120]]) and the [[rastma]] (along with meantone's [[syntonic comma]]). It can be thought of as meantone with quarter tones as it merely splits the generator 3/2 into two equally spaced neutral thirds. Among the most common is the seven note MOS mohajira[7] which consists of the steps LsLsLss, as well as the modMOS "Rast" which merely flats the fourth by one quarter tone.
<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">Mohajira is a meantone temperament that splits 3/2 into two 11/9's and the 4/3 into two 11/10's. It can be thought of as meantone with quarter tones as it merely spits the generator 3/2 into two equally spaced neutral thirds. Among the most common is the seven note MOS mohajira[7] which consists LLLsLLs - the same structure as meantone[7] but with all the semitones replaces by neutral tones. The result is a sort of "neutral scale", being neither major nor minor but something entirely new sounding.


=Modes and MOS=
The simplest form of this temperament, in 2.3.5.11, is sometimes called '''mohaha'''. To extend mohaha into full 11-limit mohajira, 7 is found at 11 neutral thirds down, tempering out the [[valinorsma]] such that 14/11 is equated with 32/25. Mohaha is tuned best sharp of 31edo's neutral third. An alternate extension, ''migration,'' is optimized for flatter tunings and finds 7 at 20 generators up, the same mapping as in [[septimal meantone]] which tempers out [[225/224]].
There are seven diatonic modes of mohajira which are structured in an analogous way to the seven church modes of the major scale. They can be thought of as quarter tone altered modes in a 24 EDO setting, but also as microtonal altered scales in any equal temperament. In addition there is also a seven note Modmos called "Rast" which can be thought as mohajira 7 with a raised sixth degree and a lowered fourth degree OR alternatively you can think of it as the fifth mode of mohajira[7] with a raised sixth degree.


Because there are too many possible Mohajira Mos and Modmos, Kentaku has organized a way to think of the progression of accidentals in the modes of Mohajira.
As mohajira is a neutral third system, 13 also has a reasonable mapping at -1 generator, equating 11/9 and 16/13. Subsequently, 17 is mapped to -10 generators (the diatonic semitone) and 19 to -6 generators (the minor third).  
The scales are organized based on evoking slightly different colors and categorized by different levels of alteration from a meantone scale.


Here are the scales with 1 2 3 4 5 6 7 being the major scale.
For temperament data see [[Meantone family #Mohajira]].
==Level 4 - Mohajira MOS Purely Neutral==
1 2 v3 4 5 v6 v7 1 or C D Ed F G Ad Bd C


==Level 3 - Mohajira ModMOS by 1 alteration==
== Interval chain ==
Rast/Sikah - 1 2 v3 4 5 6 v7 1 or C D Ed F G A Bd C
{| class="wikitable"
|+
! colspan="3" |Up from the tonic, and fifthward
! colspan="3" |Down from the octave, and fourthward
|-
!#
!Cents*
!Ratios
!#
!Cents*
!Ratios
|-
|0
|0
|'''1/1'''
|0
|1200
|'''2/1'''
|-
|1
|348.7
|11/9, 27/22
| -1
|851.3
|44/27, 18/11
|-
|2
|697.4
|'''3/2'''
| -2
|502.6
|4/3
|-
|3
|1046.1
|20/11, 11/6
| -3
|153.9
|11/10, 12/11
|-
|4
|194.8
|9/8, 10/9
| -4
|1005.2
|9/5, 16/9
|-
|5
|543.5
|'''11/8'''
| -5
|656.5
|16/11
|-
|6
|892.2
|5/3
| -6
|307.8
|6/5
|-
|7
|40.9
|33/32
| -7
|1159.1
|64/33
|-
|8
|389.6
|'''5/4'''
| -8
|810.4
|8/5
|-
|9
|738.3
|32/21
| -9
|461.7
|21/16
|-
|10
|1087
|15/8
| -10
|113
|16/15
|-
|11
|235.7
|8/7
| -11
|964.3
|'''7/4'''
|-
|12
|584.4
|45/32
| -12
|615.6
|64/45
|-
|13
|933.1
|12/7
| -13
|266.9
|7/6
|-
|14
|81.8
|25/24
| -14
|1118.2
|48/25
|-
|15
|430.5
|9/7
| -15
|769.5
|14/9
|-
|16
|779.2
|11/7
| -16
|420.8
|14/11
|}


==Level 2 - Mohajira ModMOS by 2 alteration==  
== Scales and harmony ==
Altered Melodic Minor - 1 2 b3 4 5 6 v7 1 or C D Eb F G A Bd C
: {{main|Mohajira/Scales}}
Turkish Minor - 1 2 b3 4 5 b6 7 1 or C D Ed F G A Bd C
Bayati - 1 d2 b3 4 5 b6 b7 1


==Level 1 - Meantone==
There are seven modes of mohajira's 7-note MOS (named [[mosh]] due to being "mohajira-ish") which are structured in an analogous way to the seven modes of the major scale. They can be thought of as quarter tone altered modes in a 24 EDO setting, but also as microtonal altered scales in any equal temperament. While the Mohajira[7] MOS by itself is quite beautiful, the modMOS Rast tends to be more expressive as it contains a few major and minor thirds allowing for more contrast.


 
== Notes ==
 
<references group="note" />
=Harmonization of Mohajira=  
[[Category:Mohajira| ]] <!-- main article -->
While the structure of mohajra[7] is virtually the same as meantone[7] with neutral tones instead of semitones, the scale doesn't harmonize in the same manner. Because there is now only one middle sized third, it's best to imagine.
[[Category:Rank-2 temperaments]]
 
[[Category:Meantone family]]
See also [[Meantone family#Mohajira]].</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;Mohajira&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Mohajira is a meantone temperament that splits 3/2 into two 11/9's and the 4/3 into two 11/10's. It can be thought of as meantone with quarter tones as it merely spits the generator 3/2 into two equally spaced neutral thirds. Among the most common is the seven note MOS mohajira[7] which consists LLLsLLs - the same structure as meantone[7] but with all the semitones replaces by neutral tones. The result is a sort of &amp;quot;neutral scale&amp;quot;, being neither major nor minor but something entirely new sounding.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Modes and MOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Modes and MOS&lt;/h1&gt;
There are seven diatonic modes of mohajira which are structured in an analogous way to the seven church modes of the major scale. They can be thought of as quarter tone altered modes in a 24 EDO setting, but also as microtonal altered scales in any equal temperament. In addition there is also a seven note Modmos called &amp;quot;Rast&amp;quot; which can be thought as mohajira 7 with a raised sixth degree and a lowered fourth degree OR alternatively you can think of it as the fifth mode of mohajira[7] with a raised sixth degree.&lt;br /&gt;
&lt;br /&gt;
Because there are too many possible Mohajira Mos and Modmos, Kentaku has organized a way to think of the progression of accidentals in the modes of Mohajira.&lt;br /&gt;
The scales are organized based on evoking slightly different colors and categorized by different levels of alteration from a meantone scale.&lt;br /&gt;
&lt;br /&gt;
Here are the scales with 1 2 3 4 5 6 7 being the major scale.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Modes and MOS-Level 4 - Mohajira MOS Purely Neutral"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Level 4 - Mohajira MOS Purely Neutral&lt;/h2&gt;
1 2 v3 4 5 v6 v7 1 or C D Ed F G Ad Bd C&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Modes and MOS-Level 3 - Mohajira ModMOS by 1 alteration"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Level 3 - Mohajira ModMOS by 1 alteration&lt;/h2&gt;
Rast/Sikah - 1 2 v3 4 5 6 v7 1 or C D Ed F G A Bd C&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Modes and MOS-Level 2 - Mohajira ModMOS by 2 alteration"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Level 2 - Mohajira ModMOS by 2 alteration&lt;/h2&gt;
Altered Melodic Minor - 1 2 b3 4 5 6 v7 1 or C D Eb F G A Bd C&lt;br /&gt;
Turkish Minor - 1 2 b3 4 5 b6 7 1 or C D Ed F G A Bd C&lt;br /&gt;
Bayati - 1 d2 b3 4 5 b6 b7 1&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Modes and MOS-Level 1 - Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Level 1 - Meantone&lt;/h2&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Harmonization of Mohajira"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Harmonization of Mohajira&lt;/h1&gt;
While the structure of mohajra[7] is virtually the same as meantone[7] with neutral tones instead of semitones, the scale doesn't harmonize in the same manner. Because there is now only one middle sized third, it's best to imagine.&lt;br /&gt;
&lt;br /&gt;
See also &lt;a class="wiki_link" href="/Meantone%20family#Mohajira"&gt;Meantone family&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/Mohajira"