Mohajira: Difference between revisions

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=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 contains 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 contains a few major and minor thirds allowing for more contrast.


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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.


==Level 0 - Mohajira MOS - The Neutral Diatonic scale==
== Level 0 - Mohajira MOS - The Neutral Diatonic scale ==
1 2 v3 ^4 5 6 v7 1 or C D Ed Ft G A Bd C
1 2 v3 ^4 5 6 v7 1 or C D Ed Ft G A Bd C


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| Iced Lydian
| Iced Lydian
| Ft G A Bd C D Ed Ft
| Ft G A Bd C D Ed Ft
| M2 N3 P4 s5 N6 N7
| N2 N3 P4 s5 N6 m7
|-
|-
| Iced Mixolydian
| Iced Mixolydian
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Strangely, the mode names do not match the typical order of western mode names due to the odd intervalic nature of Mohajira temperament.
Strangely, the mode names do not match the typical order of western mode names due to the odd intervalic nature of Mohajira temperament.


==Level 1 - Mohajira MODMOS by 1 alteration==
== Level 1 - Mohajira MODMOS by 1 alteration ==
Rast - 1 2 v3 4 5 6 v7 1  
Rast - 1 2 v3 4 5 6 v7 1  


{| class="wikitable"
{| class="wikitable"
|-
|-
|Mode 1
| Mode 1
| C D Ed F G A Bd C
| C D Ed F G A Bd C
|-
|-
| Mode 2
| Mode 2
|D Ed F G A Bd C D
| D Ed F G A Bd C D
|-
|-
| Mode 3
| Mode 3
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|-
|-
| Mode 4
| Mode 4
|F G A Bd C D Ed F
| F G A Bd C D Ed F
|-
|-
|Mode 5
| Mode 5
|G A Bd C D Ed F G
| G A Bd C D Ed F G
|-
|-
| Mode 6
| Mode 6
|A Bd C D Ed F G A
| A Bd C D Ed F G A
|-
|-
|Mode 7
| Mode 7
|Bd C D Ed F G A Bd
| Bd C D Ed F G A Bd
|}
|}


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{| class="wikitable"
{| class="wikitable"
|-
|-
|Mode 1
| Mode 1
|C D E F G Ad Bd C
| C D E F G Ad Bd C
|-
|-
| Mode 2
| Mode 2
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| E F G Ad Bd C D E
| E F G Ad Bd C D E
|-
|-
|Mode 4
| Mode 4
|F G Ad Bd C D E F
| F G Ad Bd C D E F
|-
|-
|Mode 5
| Mode 5
|G Ad Bd C D E F G
| G Ad Bd C D E F G
|-
|-
| Mode 6
| Mode 6
|Ad Bd C D E F G Ad
| Ad Bd C D E F G Ad
|-
|-
|Mode 7
| Mode 7
| Bd C D E F G Ad Bd
| Bd C D E F G Ad Bd
|}
|}


==Level 2 - Mohajira MODMOS by 2 alterations ==
== Level 2 - Mohajira MODMOS by 2 alterations ==
Altered Neapolitan Major - 1 b2 b3 4 5 6 v7 1 or C Db Eb F G A Bd C
Altered Neapolitan Major - 1 b2 b3 4 5 6 v7 1 or C Db Eb F G A Bd C


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{| class="wikitable"
{| class="wikitable"
|-
|-
|Mode 1
| Mode 1
|C D Eb F G A Bd C
| C D Eb F G A Bd C
|-
|-
|Mode 2
| Mode 2
|D Eb F G A Bd C D
| D Eb F G A Bd C D
|-
|-
|Mode 3
| Mode 3
|Eb F G A Bd C D Eb
| Eb F G A Bd C D Eb
|-
|-
|Mode 4
| Mode 4
|F G A Bd C D Eb F
| F G A Bd C D Eb F
|-
|-
|Mode 5
| Mode 5
|G A Bd C D Eb F G
| G A Bd C D Eb F G
|-
|-
|Mode 6
| Mode 6
| A Bd C D Eb F G A
| A Bd C D Eb F G A
|-
|-
| Mode 7
| Mode 7
|Bd C D Eb F G A Bd
| Bd C D Eb F G A Bd
|}
|}


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{| class="wikitable"
{| class="wikitable"
|-
|-
|Mode 1
| Mode 1
|C D E F G A Bd C
| C D E F G A Bd C
|C Dd E F G A B C
| C Dd E F G A B C
|-
|-
|Mode 2
| Mode 2
|D E F G A Bd C D
| D E F G A Bd C D
|Dd E F G A B C Dd
| Dd E F G A B C Dd
|-
|-
|Mode 3
|Mode 3
|E F G A Bd C D E
| E F G A Bd C D E
|E F G A B C Dd E
| E F G A B C Dd E
|-
|-
|Mode 4
| Mode 4
|F G A B C Dd E F
| F G A B C Dd E F
| F G A Bd C D E F
| F G A Bd C D E F
|-
|-
|Mode 5
| Mode 5
|G A Bd C D E F G
| G A Bd C D E F G
|G A B C Dd E F G
| G A B C Dd E F G
|-
|-
|Mode 6
| Mode 6
|A B C Dd E F G A
| A B C Dd E F G A
|A B C Dd E F G A
| A B C Dd E F G A
|-
|-
| Mode 7
| Mode 7
|Bd C D E F G A Bd
| Bd C D E F G A Bd
| B C Dd E F G A B
| B C Dd E F G A B
|}
|}
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Altered Phrygian - 1 v2 b3 4 5 b6 b7 1 or C Dd Eb F G Ab Bb
Altered Phrygian - 1 v2 b3 4 5 b6 b7 1 or C Dd Eb F G Ab Bb


==Level 3 - Meantone by 3 alterations==
== Level 3 - Meantone by 3 alterations ==


[[File:altered_mohajira_levels.PNG|alt=altered mohajira levels.PNG|altered mohajira levels.PNG]]
[[File:altered_mohajira_levels.PNG|alt=altered mohajira levels.PNG|altered mohajira levels.PNG]]
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|-
|-
! D
! D
!E
! E
! F
! F
!G
! G
!Ad
! Ad
!Bd
! Bd
|-
|-
|
|
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|}
|}


==Harmonization of Mohajira==
== Harmonization of Mohajira ==
While the structure of mohajira[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.
While the structure of mohajira[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:
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:


===Mohajira[10] - The Neutral Superdiatonic Scale===
=== Mohajira[10] - The Neutral Superdiatonic Scale ===


{| class="wikitable"
{| class="wikitable"