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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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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">See [[Meantone family#Mohajira]].</pre></div>
 
<h4>Original HTML content:</h4>
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]].
<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;See &lt;a class="wiki_link" href="/Meantone%20family#Mohajira"&gt;Meantone family&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
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).
 
For temperament data see [[Meantone family #Mohajira]].
 
== Interval chain ==
{| 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
|}
 
== Scales and harmony ==
: {{main|Mohajira/Scales}}
 
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" />
[[Category:Mohajira| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Meantone family]]
Retrieved from "https://en.xen.wiki/w/Mohajira"