Maqam variations of MOS: Difference between revisions

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Given a xL ys mos scale pattern, and also with the difference between L and s being an even number, it is possible to apply [[neutral and interordinal k-mossteps]] through methodology and notation of [[Arabic, Turkish, Persian|Middle Eastern]] music. Such phenomena produce some rather unique scales.

Letter M is used to denote a step halfway between L and s steps, A stands for "augmented", which is widening an individual step by a chroma (L - s).

== Implementation ==

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In the diatonic scale, [[17edo]] and [[24edo]] are the smallest edos supporting level 1 maqam. Likewise, the smallest type of mos which can support maqam variations are hard (3:1) and basic pattern embedded in edo twice the size (4:2).

=== ~~Orwell[13] example~~ ===

=== Ajnas ===

The beginning of one jins is ending of another (known as ghammaz), and it's a point where modulation occurs usually. As such, these notes are unchaged from the original mos pattern.

The three most common ajnas - hijaz, bayati, and rast, are based on their diatonic counterpart in pattern in the basic mos case, - sAs, MML, and LMM respectively.

In case where the mos is basic, variations derived with jins hijaz are entirely contained within the original temperament and do not require equal tuning twice the size, as L = s, which means A = L + (L - s) = L + s.

This is a hardness 2:1 variation in [[44edo]], which doubles [[22edo]].

=== 13-tone orwell example ===

Orwell[13], which amounts to [[9L 4s]], is an interesting case, as it has a subminor third as a generator and also it features 4 notes inclusive from generator to generator, meaning that each ghammaz of every jins there is one generator above the other, making it perfect for such variations.

This is a hardness 2:1 variation in [[44edo]], which doubles [[22edo]]. Since we have a basic mos, the middle step is 3 steps.

Following scales were designated by Eliora and are based on the LLsLLsLLsLLLs mode of Orwell[13] in 22edo.

{| class="wikitable"

|+

Maqam variations upon Orwell[13] in 44edo

!

!Jins ~~pattern~~

!Jins style

!44edo

|-

|''Original scale''

| -

|0-4-8-10-14-18-20-24-28-30-34-38-40-44

|-

|Maqam Eurasia

|~~sAs~~

|Hijaz

|0-1-6-10-11-16-20-21-26-30-31-36-40-44

|0-2-8-10-12-18-20-22-28-30-32-38-40-44

|-

|Maqam Oceania

|~~msL~~

|Bayati

|0-4-5-10-14-15-20-24-25-30-34-35-40-44

|0-3-6-10-13-16-20-23-26-30-33-36-40-44

|-

|Maqam Eastasia

|~~msL~~

|Rast

|0-4-6-10~~...~~

|0-4-7-10-14-17-20-24-27-30-34-37-40-44

|}

It is worth noting that Maqam Oceania and Maqam Eastasia are non-MOS variations of [[5L 8s|p-chro oneirotonic]], where steps are rearranged.

[[Category:Method]]

[[Category:Maqam]]

@@ Line 2: / Line 2: @@
 Given a xL ys mos scale pattern, and also with the difference between L and s being an even number, it is possible to apply [[neutral and interordinal k-mossteps]] through methodology and notation of [[Arabic, Turkish, Persian|Middle Eastern]] music. Such phenomena produce some rather unique scales.
+Letter M is used to denote a step halfway between L and s steps, A stands for "augmented", which is widening an individual step by a chroma (L - s).
 == Implementation ==
@@ Line 10: / Line 12: @@
 In the diatonic scale, [[17edo]] and [[24edo]] are the smallest edos supporting level 1 maqam. Likewise, the smallest type of mos which can support maqam variations are hard (3:1) and basic pattern embedded in edo twice the size (4:2).
-=== Orwell[13] example ===
+=== Ajnas ===
+The beginning of one jins is ending of another (known as ghammaz), and it's a point where modulation occurs usually. As such, these notes are unchaged from the original mos pattern.
+The three most common ajnas - hijaz, bayati, and rast, are based on their diatonic counterpart in pattern in the basic mos case, - sAs, MML, and LMM respectively.
+In case where the mos is basic, variations derived with jins hijaz are entirely contained within the original temperament and do not require equal tuning twice the size, as L = s, which means A = L + (L - s) = L + s.
-This is a hardness 2:1 variation in [[44edo]], which doubles [[22edo]].
+=== 13-tone orwell example ===
+{{Main|Orwell/Eliora's Approach}}
+Orwell[13], which amounts to [[9L 4s]], is an interesting case, as it has a subminor third as a generator and also it features 4 notes inclusive from generator to generator, meaning that each ghammaz of every jins there is one generator above the other, making it perfect for such variations.
+This is a hardness 2:1 variation in [[44edo]], which doubles [[22edo]]. Since we have a basic mos, the middle step is 3 steps.
+Following scales were designated by Eliora and are based on the LLsLLsLLsLLLs mode of Orwell[13] in 22edo.
 {| class="wikitable"
 |+
+Maqam variations upon Orwell[13] in 44edo
 !
-!Jins pattern
+!Jins style
 !44edo
+|-
+|''Original scale''
+| -
+|0-4-8-10-14-18-20-24-28-30-34-38-40-44
 |-
 |Maqam Eurasia
-|sAs
+|Hijaz
-|0-1-6-10-11-16-20-21-26-30-31-36-40-44
+|0-2-8-10-12-18-20-22-28-30-32-38-40-44
 |-
 |Maqam Oceania
-|msL
+|Bayati
-|0-4-5-10-14-15-20-24-25-30-34-35-40-44
+|0-3-6-10-13-16-20-23-26-30-33-36-40-44
 |-
 |Maqam Eastasia
-|msL
+|Rast
-|0-4-6-10...
+|0-4-7-10-14-17-20-24-27-30-34-37-40-44
 |}
+It is worth noting that Maqam Oceania and Maqam Eastasia are non-MOS variations of [[5L 8s|p-chro oneirotonic]], where steps are rearranged.
 [[Category:Method]]
 [[Category:Maqam]]