Kartvelian scales: Difference between revisions

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The Kartvelian scales generalize the [[~~wikipedia:Music_of_Georgia_(country)#Scales_and_tuning_system~~|~~traditional scale of~~ Georgian folk music]], the [[Kartvelian scale]], to divide the perfect [[Ed4/3|fourth]] and [[EDF|fifth]] into arbitrary numbers of equal steps~~. This scale, called “untempered” on Wikipedia, is more properly described as the first known [[well temperament]] in music history{{Citation needed}}~~. The fifth, or conversely the fourth, will be an interval of the corresponding [[edo]] which may generate [[2L 3s]] or [[3L 2s]] and normally stands within one edo degree of 3/2.

{{todo|clarify|inline=1|comment=Explain why edo degrees are implied when the scale is based on an edf segment and an ed4/3 segment.}}

The '''Kartvelian scales''' generalize the traditional scale of [[Music of Georgia|Georgian folk music]], the [[Kartvelian scale]], to divide the perfect [[Ed4/3|fourth]] and [[EDF|fifth]] into arbitrary numbers of equal steps. The fifth, or conversely the fourth, will be an interval of the corresponding [[edo]] which may generate [[2L 3s]] or [[3L 2s]] and normally stands within one edo degree of 3/2. The optimal patent tuning of a [[well tempered nonet]] targets the nonet of a Kartvelian scale where a 3/2 is available.

= Examples =

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=== Kartvelian ditonic ===

An alternating pattern of [[1edf]] and [[1ed4/3]].

*701.~~978~~

*701.955

*1200.000

=== Kartvelian tritonic ===

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=== Traditional [[Kartvelian scale]]===

An alternating pattern of [[4edf]] and [[3ed4/3]]. ~~Used~~ in ~~traditional~~ Georgian music ~~from ancient times to the present day~~.

An alternating pattern of [[4edf]] and [[3ed4/3]]. Inspired by scales used in [[Music of Georgia|Georgian folk music]].

*175.489

*350.978

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*701.955

*867.970

*1033.985

* 1033.985

*1200.000

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* 1033.985

* 1200.000

==== Music ====

* [https://m.youtube.com/watch?v=rzcuLiE3HhE Funny Snakecharmer] - [[Sven Karma]] (Dec 2023)

=== 9edf Kartvelian tetradecatonic ===

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*1200.000

[[Category:Lists of scales]]

~~[[Category:Scales by family]]~~

[[Category:EDF]]

[[Category:ED4/3]]

~~[[Category:Gamelan]]~~

[[Category:Tempered scales]]

[[Category:Pages with mostly numerical content]]

[[Category:Well tempered nonet]]

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-The Kartvelian scales generalize the [[wikipedia:Music_of_Georgia_(country)#Scales_and_tuning_system|traditional scale of Georgian folk music]], the [[Kartvelian scale]], to divide the perfect [[Ed4/3|fourth]] and [[EDF|fifth]] into arbitrary numbers of equal steps. This scale, called “untempered” on Wikipedia, is more properly described as the first known [[well temperament]] in music history{{Citation needed}}. The fifth, or conversely the fourth, will be an interval of the corresponding [[edo]] which may generate [[2L 3s]] or [[3L 2s]] and normally stands within one edo degree of 3/2.
+{{todo|clarify|inline=1|comment=Explain why edo degrees are implied when the scale is based on an edf segment and an ed4/3 segment.}}
+The '''Kartvelian scales''' generalize the traditional scale of [[Music of Georgia|Georgian folk music]], the [[Kartvelian scale]], to divide the perfect [[Ed4/3|fourth]] and [[EDF|fifth]] into arbitrary numbers of equal steps. The fifth, or conversely the fourth, will be an interval of the corresponding [[edo]] which may generate [[2L 3s]] or [[3L 2s]] and normally stands within one edo degree of 3/2. The optimal patent tuning of a [[well tempered nonet]] targets the nonet of a Kartvelian scale where a 3/2 is available.
 = Examples =
@@ Line 6: / Line 7: @@
 === Kartvelian ditonic ===
 An alternating pattern of [[1edf]] and [[1ed4/3]].
-*701.978
+*701.955
 *1200.000
 === Kartvelian tritonic ===
@@ Line 47: / Line 48: @@
 === Traditional [[Kartvelian scale]]===
-An alternating pattern of [[4edf]] and [[3ed4/3]]. Used in traditional Georgian music from ancient times to the present day.
+An alternating pattern of [[4edf]] and [[3ed4/3]]. Inspired by scales used in [[Music of Georgia|Georgian folk music]].
 *175.489
 *350.978
@@ Line 53: / Line 54: @@
 *701.955
 *867.970
+*1033.985
-* 1033.985
 *1200.000
@@ Line 255: / Line 255: @@
 * 1033.985
 * 1200.000
+==== Music ====
+* [https://m.youtube.com/watch?v=rzcuLiE3HhE Funny Snakecharmer] - [[Sven Karma]] (Dec 2023)
 === 9edf Kartvelian tetradecatonic ===
@@ Line 1,127: / Line 1,130: @@
 *1200.000
 [[Category:Lists of scales]]
-[[Category:Scales by family]]
 [[Category:EDF]]
 [[Category:ED4/3]]
-[[Category:Gamelan]]
 [[Category:Tempered scales]]
+[[Category:Pages with mostly numerical content]]
+[[Category:Well tempered nonet]]