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. 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]].
+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 158: / Line 158: @@
 === 7edf Kartvelian dodecatonic ===
-An alternating pattern of [[7edf]] and [[5ed4/3]].
+An alternating pattern of [[7edf]] and [[5ed4/3]]. Very close to [[12edo]].
 *100.279
 *200.559
@@ Line 235: / Line 235: @@
 *1116.993
 *1200.000
+==== Subsets ====
+Fennec scale
+* 175.489
+* 350.978
+* 526.466
+* 701.955
+* 784.962
+* 1116.993
+* 1200.000
+[[Kartvelian scale]]
+* 175.489
+* 350.978
+* 526.466
+* 701.955
+* 867.970
+* 1033.985
+* 1200.000
+==== Music ====
+* [https://m.youtube.com/watch?v=rzcuLiE3HhE Funny Snakecharmer] - [[Sven Karma]] (Dec 2023)
 === 9edf Kartvelian tetradecatonic ===
@@ Line 347: / Line 370: @@
 === 10edf Kartvelian heptadecatonic ===
-An alternating pattern of [[10edf]] and [[7ed4/3]].
+An alternating pattern of [[10edf]] and [[7ed4/3]]. Very close to [[17edo]].
 *70.196
 *140.391
@@ Line 365: / Line 388: @@
 *1128.851
 *1200.000
+==== Subsets ====
+''See [[17edo#Scales]]''
 === 10edf Kartvelian octadecatonic ===
@@ Line 521: / Line 547: @@
 *1144.668
 *1200.000
+==== Subsets ====
+[[Kartvelian scale]]
+* 175.489
+* 350.978
+* 526.466
+* 701.955
+* 867.970
+* 1033.985
+* 1200.000
 === 13edf Kartvelian 21-tonic ===
@@ Line 675: / Line 711: @@
 === 14edf Kartvelian 24-tonic ===
-An alternating pattern of [[14edf]] and [[10ed4/3]].
+An alternating pattern of [[14edf]] and [[10ed4/3]]. Very close to [[24edo]].
 *50.140
 *100.297
@@ Line 700: / Line 736: @@
 *1150.196
 *1200.000
+==== Subsets ====
+''See [[24edo#Scales_.2F_modes]]''
 === 14edf Kartvelian 25-tonic ===
@@ Line 876: / Line 915: @@
 === 16edf Kartvelian 28-tonic ===
-An alternating pattern of [[16edf]] and [[12ed4/3]].
+An alternating pattern of [[16edf]] and [[12ed4/3]]. Notably, this scale contains within it the traditional [[Kartvelian scale]], so it is a useful extension of that scale.
 *43.872
 *87.744
@@ Line 905: / Line 944: @@
 *1158.496
 *1200.000
+==== Subsets ====
+Fennec scale
+* 175.489
+* 350.978
+* 526.466
+* 701.955
+* 784.962
+* 1116.993
+* 1200.000
+[[Kartvelian scale]]
+* 175.489
+* 350.978
+* 526.466
+* 701.955
+* 867.970
+* 1033.985
+* 1200.000
 === 17edf Kartvelian 28-tonic ===
@@ Line 970: / Line 1,030: @@
 === 17edf Kartvelian 29-tonic ===
-An alternating pattern of [[17edf]] and [[12ed4/3]].
+An alternating pattern of [[17edf]] and [[12ed4/3]]. Very close to [[29edo]].
 *41.291
 *82.583
@@ Line 1,000: / Line 1,060: @@
 *1158.496
 *1200.000
+==== Subsets ====
+''See [[29edo#Scales]]''
 === 17edf Kartvelian triacontatonic ===
@@ Line 1,066: / Line 1,129: @@
 *1158.496
 *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]]