Mohajira: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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: This revision was by author [[User:cookiemeows|cookiemeows]] and made on <tt>2014-08-20 07:23:25 UTC</tt>.<br>
: This revision was by author [[User:cookiemeows|cookiemeows]] and made on <tt>2014-08-20 20:30:29 UTC</tt>.<br>
: The original revision id was <tt>519036834</tt>.<br>
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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>
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>
<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">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 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 of the steps LsLsLss, as well as the Modmos "Rast" which merely flats the fourth by one quarter tone.


=Modes and MOS=  
=Modes and MOS=  
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. While the Mohajira[7] MOS by itself is quite beautiful, the Modmos, Rast tends to be more expressive as it contain a few major and minor thirds allowing for more contrast.  
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. While the Mohajira[7] MOS by itself is quite beautiful, the Modmos, Rast tends to be more expressive as it contain a few major and minor thirds allowing for more contrast.


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.
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.
The scales are organized based on evoking slightly different colors and categorized by different levels of alteration from a meantone scale. A Mos of Mohajira[10] can be used in order to improvise on all the common Modmos of mohajira.  
The scales are organized based on evoking slightly different colors and categorized by different levels of alteration from a meantone scale. A Mos of Mohajira[10] can be used in order to improvise on all the common Modmos of mohajira.


Here are the scales with 1 2 3 4 5 6 7 being the major scale.
Here are the scales with 1 2 3 4 5 6 7 being the major scale.
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=Harmonization of Mohajira=  
=Harmonization of Mohajira=  
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.
While the structure of mohajra[7] may seem similar to the shape of meantone, because of there being only one size of thirds, it's better to harmonize the scale
with a combination of various voicings of 1-5-7-4 and 1-5-7-3 as well as other combinations of chords such as quartal tetrads. The Rast scales generally have more variety as they contain major and minor thirds as well as neutral thirds.
 
To introduce more interest into harmony involving mohajira, a 10 note Mos can be used to incorporate various synthetic versions of traditional turkish and middle eastern scales.
 
The intervals of Mohajira and Neutral harmony work in an almost reverse manner from meantone. The most consonant is 3/2 and 4/3 followed by 11/6, 11/9 and 11/8. In context of a chord with a perfect fifth, 11/9's tend to produce a rather rough chord that sounds good in many context but is quite rough as a tonic chord. It can be good to think of the neutral seventh 11/6 and 3/2 as the base intervals of a chord with 11/8 and 4/3 acting almost in an analogous way to the major and minor third in meantone. This is why 11/8 can be called the major fourth in 24 ET.


See also [[Meantone family#Mohajira]].</pre></div>
See also [[Meantone family#Mohajira]].</pre></div>
<h4>Original HTML content:</h4>
<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 of the steps LsLsLss, as well as the Modmos &amp;quot;Rast&amp;quot; which merely flats the fourth by one quarter tone. &lt;br /&gt;
<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 of the steps LsLsLss, as well as the Modmos &amp;quot;Rast&amp;quot; which merely flats the fourth by one quarter tone.&lt;br /&gt;
&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;
&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. While the Mohajira[7] MOS by itself is quite beautiful, the Modmos, Rast tends to be more expressive as it contain a few major and minor thirds allowing for more contrast. &lt;br /&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. While the Mohajira[7] MOS by itself is quite beautiful, the Modmos, Rast tends to be more expressive as it contain a few major and minor thirds allowing for more contrast.&lt;br /&gt;
&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;
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. A Mos of Mohajira[10] can be used in order to improvise on all the common Modmos 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. A Mos of Mohajira[10] can be used in order to improvise on all the common Modmos of mohajira.&lt;br /&gt;
&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;
Here are the scales with 1 2 3 4 5 6 7 being the major scale.&lt;br /&gt;
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&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;
&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;
  While the structure of mohajra[7] may seem similar to the shape of meantone, because of there being only one size of thirds, it's better to harmonize the scale&lt;br /&gt;
with a combination of various voicings of 1-5-7-4 and 1-5-7-3 as well as other combinations of chords such as quartal tetrads. The Rast scales generally have more variety as they contain major and minor thirds as well as neutral thirds. &lt;br /&gt;
&lt;br /&gt;
To introduce more interest into harmony involving mohajira, a 10 note Mos can be used to incorporate various synthetic versions of traditional turkish and middle eastern scales. &lt;br /&gt;
&lt;br /&gt;
The intervals of Mohajira and Neutral harmony work in an almost reverse manner from meantone. The most consonant is 3/2 and 4/3 followed by 11/6, 11/9 and 11/8. In context of a chord with a perfect fifth, 11/9's tend to produce a rather rough chord that sounds good in many context but is quite rough as a tonic chord. It can be good to think of the neutral seventh 11/6 and 3/2 as the base intervals of a chord with 11/8 and 4/3 acting almost in an analogous way to the major and minor third in meantone. This is why 11/8 can be called the major fourth in 24 ET.&lt;br /&gt;
&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>
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>