Turkish maqam music temperaments: Difference between revisions
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This is a collection of some proposed [[temperament]]s for [[Arabic, Turkish, Persian music|Turkish maqam music]]. | This is a collection of some proposed [[temperament]]s for [[Arabic, Turkish, Persian music|Turkish maqam music]]. | ||
== Yarman | == Yarman temperament == | ||
{{See also| Quartonic family }} | |||
[[Ozan Yarman]] has proposed defining the tuning of Turkish maqam music using a [[mos]] of 79 or 80 notes out of 159. This means a generator of 2\159, which suggests the 19-limit mappings: | [[Ozan Yarman]] has proposed defining the tuning of Turkish maqam music using a [[mos]] of 79 or 80 notes out of 159. This means a generator of 2\159, which suggests the 19-limit mappings: | ||
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* {{Mapping| 1 2 3 4 4 4 4 5 | 0 -33 -54 -95 -43 -24 7 -60 }} | * {{Mapping| 1 2 3 4 4 4 4 5 | 0 -33 -54 -95 -43 -24 7 -60 }} | ||
The first mapping may be called 79 & 159 in terms of [[patent val]]s, and the second 80 & 159. In any event both mappings can be used inconsistently, and both temperaments are weak [[7-limit]] extensions of [[ | The first mapping may be called 79 & 159 in terms of [[patent val]]s, and the second 80 & 159. In any event both mappings can be used inconsistently, and both temperaments are weak [[7-limit]] extensions of [[Quartonic family|quartonic temperament]]. A Pythagorean tuning, i.e. one with pure fifths, is also possible. | ||
== Karadeniz temperament == | |||
== Karadeniz == | |||
{{See also| Schismatic family #Garibaldi }} | {{See also| Schismatic family #Garibaldi }} | ||
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It tempers out [[225/224]], [[243/242]], [[3025/3024]], [[3125/3087]], [[4000/3969]], and [[5120/5103]], and can also be called 41 & 106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators. | It tempers out [[225/224]], [[243/242]], [[3025/3024]], [[3125/3087]], [[4000/3969]], and [[5120/5103]], and can also be called 41 & 106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators. | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
[[Category:Turkish music]] | [[Category:Turkish music]] | ||
Revision as of 08:38, 2 December 2023
This is a collection of some proposed temperaments for Turkish maqam music.
Yarman temperament
Ozan Yarman has proposed defining the tuning of Turkish maqam music using a mos of 79 or 80 notes out of 159. This means a generator of 2\159, which suggests the 19-limit mappings:
- [⟨1 2 3 2 4 4 4 5], ⟨0 -33 -54 64 -43 -24 7 -60]]
- [⟨1 2 3 4 4 4 4 5], ⟨0 -33 -54 -95 -43 -24 7 -60]]
The first mapping may be called 79 & 159 in terms of patent vals, and the second 80 & 159. In any event both mappings can be used inconsistently, and both temperaments are weak 7-limit extensions of quartonic temperament. A Pythagorean tuning, i.e. one with pure fifths, is also possible.
Karadeniz temperament
K. E. Karadeniz proposed a 41-note mos with generator 31/106, giving a "hemigaribaldi" type of tuning, with an 11/9 neutral third generator. It is more plausible as an 11-limit system than 13-limit; the 13-limit wedgie is:
⟨⟨ 2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120 ]]
which in the 11-limit becomes:
⟨⟨ 2 -16 -28 5 -30 -50 1 -20 67 111 ]]
It tempers out 225/224, 243/242, 3025/3024, 3125/3087, 4000/3969, and 5120/5103, and can also be called 41 & 106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators.