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]] 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.}}
{| class="wikitable"
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.
|+'''Kartvelian scales'''
 
!
= Examples =
!
(Intervals given in [[cents]].)
!
 
!
=== Kartvelian ditonic ===
!
An alternating pattern of [[1edf]] and [[1ed4/3]].
!
*701.955
!
*1200.000
!
=== Kartvelian tritonic ===
!
An alternating pattern of [[2edf]] and [[1ed4/3]].
!
*350.978
|-
*701.955
|[[Kartvelian ditonic|2]]
*1200.000
|[[Kartvelian Tetratonic|4]]
=== Kartvelian tetratonic ===
|[[Kartvelian Hexatonic|6]]
An alternating pattern of [[2edf]] and [[2ed4/3]].
|[[Kartvelian Octatonic|8]]
*350.978
|[[Kartvelian Decatonic|10]]
*701.955
|[[Kartvelian Dodecatonic|12]]
*950.978
|[[Kartvelian Tetradecatonic|14]]
*1200.000
|[[Kartvelian Hexadecatonic|16]]
 
|[[Kartvelian Octadecatonic|18]]
=== Kartvelian pentatonic ===
|[[Kartvelian Icositonic|20]]
An alternating pattern of [[3edf]] and [[2ed4/3]]. Approximates the [[Slendro]] scale.
|-
*233.985
|
*467.970
|
*701.955
|
*950.978
|
*1200.000
|
 
|
=== 3edf Kartvelian hexatonic ===
|
An alternating pattern of [[3edf]] and [[3ed4/3]].
|
*233.985
|
*467.970
|[[Kartvelian 21-tonic|21]]
*701.955
|-
*867.970
|
*1033.985
|
*1200.000
|
 
|
=== 4edf Kartvelian hexatonic ===
|
An alternating pattern of [[4edf]] and [[2ed4/3]].
|
*175.489
|
*350.978
|
*526.466
|[[Kartvelian Enneadecatonic|19]]
*701.955
|
*950.979
|-
*1200.000
|
 
|
=== Traditional [[Kartvelian scale]]===
|
An alternating pattern of [[4edf]] and [[3ed4/3]]. Inspired by scales used in [[Music of Georgia|Georgian folk music]].
|
*175.489
|
*350.978
|
*526.466
|
*701.955
|[[Kartvelian Heptadecatonic|17]]
*867.970
|
*1033.985
|
*1200.000
|-
 
|
=== 4edf Kartvelian octatonic ===
|
An alternating pattern of [[4edf]] and [[4ed4/3]].
|
*175.489
|
*350.978
|
*526.466
|
*701.955
|[[Kartvelian Pentadecatonic|15]]
*826.466
|
*950.978
|
*1075.489
|
*1200.000
|-
 
|
=== 5edf Kartvelian octatonic ===
|
An alternating pattern of [[5edf]] and [[3ed4/3]].
|
*140.391
|
*280.782
|
*421.173
|[[Kartvelian Triskaidekatonic|13]]
*561.564
|
*701.955
|
*867.970
|
*1033.985
|
*1200.000
|-
 
|
=== 5edf Kartvelian enneatonic ===
|
An alternating pattern of [[5edf]] and [[4ed4/3]]. Approximates the 9-tone [[Pelog]] scale.
|
*140.391
|
*280.872
|[[Kartvelian Hendecatonic|11]]
*421.173
|
*561.564
|
*701.955
|
*826.466
|
*950.978
|[[Kartvelian 22-tonic|22]]
*1075.489
|-
*1200.000
|
 
|
=== 6edf Kartvelian enneatonic ===
|
An alternating pattern of [[6edf]] and [[3ed4/3]].
|
*116.993
|
*233.985
|
*350.978
|
*467.970
|
*584.963
|[[Kartvelian Icositonic|20]]
*701.955
|
*867.970
|-
*1033.985
|
*1200.000
|
 
|
=== 5edf Kartvelian decatonic ===
|[[Kartvelian Enneatonic|9]]
An alternating pattern of [[5edf]] and [[5ed4/3]].
|
*140.391
|
*280.782
|
*421.173
|[[Kartvelian Octadecatonic|18]]
*561.564
|
*701.955
|
*801.564
|-
*901.173
|
*1000.782
|
*1100.391
|
*1200.000
|
 
|
=== 6edf Kartvelian decatonic ===
|
An alternating pattern of [[6edf]] and [[4ed4/3]].
|[[Kartvelian Hexadecatonic|16]]
*116.993
|
*233.985
|
*350.978
|
*467.970
|-
*584.963
|
*701.955
|
*826.466
|
*950.978
|
*1075.489
|
*1200.000
|
 
|
=== 6edf Kartvelian hendecatonic ===
|
An alternating pattern of [[6edf]] and [[5ed4/3]].
|
*116.993
|[[Kartvelian 23-tonic|23]]
*233.985
|-
*350.978
|
*467.970
|
*584.963
|[[Kartvelian scale|7]]
*701.955
|
*801.564
|
*901.173
|[[Kartvelian Tetradecatonic|14]]
*1000.782
|
*1100.391
|
*1200.000
|[[Kartvelian 21-tonic|21]]
 
|
=== 7edf Kartvelian hendecatonic ===
|-
An alternating pattern of [[7edf]] and [[4ed4/3]].
|
*100.279
|
*200.559
|
*300.838
|
*401.117
|
*501.396
|
*601.676
|
*701.955
|[[Kartvelian Enneadecatonic|19]]
*826.466
|
*950.978
|
*1075.489
|-
*1200.000
|
 
|
=== 7edf Kartvelian dodecatonic ===
|
An alternating pattern of [[7edf]] and [[5ed4/3]]. Very close to [[12edo]].
|
*100.279
|[[Kartvelian Dodecatonic|12]]
*200.559
|
*300.838
|
*401.117
|
*501.396
|
*601.676
|[[Kartvelian 24-tonic|24]]
*701.955
|-
*801.564
|
*901.173
|
*1000.782
|
*1100.391
|
*1200.000
|
 
|
=== 8edf Kartvelian dodecatonic ===
|[[Kartvelian Heptadecatonic|17]]
An alternating pattern of [[8edf]] and [[4ed4/3]].
|
*87.744
|
*175.489
|
*263.223
|-
*350.978
|
*438.729
|
*526.466
|
*614.211
|
*701.955
|
*826.466
|
*950.978
|
*1075.489
|
*1200.000
|[[Kartvelian 22-tonic|22]]
 
|
=== 7edf Kartvelian triskaidekatonic ===
|-
An alternating pattern of [[7edf]] and [[6ed4/3]].
|
*100.279
|[[Kartvelian Pentatonic|5]]
*200.559
|
*300.838
|[[Kartvelian Decatonic|10]]
*401.117
|
*501.396
|[[Kartvelian Pentadecatonic|15]]
*601.676
|
*701.955
|[[Kartvelian Icositonic|20]]
*784.962
|
*867.970
|[[Kartvelian 25-tonic|25]]
*950.978
|-
*1033.985
|
*1116.993
|
*1200.000
|
 
|
=== 8edf Kartvelian triskaidekatonic ===
|
An alternating pattern of [[8edf]] and [[5ed4/3]].
|
*87.744
|
*175.489
|
*263.223
|[[Kartvelian 23-tonic|23]]
*350.978
|
*438.729
|-
*526.466
|
*614.211
|
*701.955
|
*801.564
|
*901.173
|
*1000.782
|
*1100.391
|[[Kartvelian Octadecatonic|18]]
*1200.000
|
 
|
=== 8edf Kartvelian tetradecatonic ===
|
An alternating pattern of [[8edf]] and [[6ed4/3]]. Notably, this scale contains within it the traditional [[Kartvelian scale]], so it is a useful extension of that scale.
|-
*87.744
|
*175.489
|
*263.223
|
*350.978
|
*438.729
|[[Kartvelian Triskaidekatonic|13]]
*526.466
|
*614.211
|
*701.955
|
*784.962
|
*867.970
|[[Kartvelian 26-tonic|26]]
*950.978
|-
*1033.985
|
*1116.993
|
*1200.000
|
 
|
==== Subsets ====
|
Fennec scale
|
 
|
* 175.489
|[[Kartvelian 21-tonic|21]]
* 350.978
|
* 526.466
|
* 701.955
|-
* 784.962
|
* 1116.993
|
* 1200.000
|[[Kartvelian Octatonic|8]]
 
|
[[Kartvelian scale]]
|
* 175.489
|[[Kartvelian Hexadecatonic|16]]
* 350.978
|
* 526.466
|
* 701.955
|[[Kartvelian 24-tonic|24]]
* 867.970
|
* 1033.985
|-
* 1200.000
|
 
|
==== Music ====
|
* [https://m.youtube.com/watch?v=rzcuLiE3HhE Funny Snakecharmer] - [[Sven Karma]] (Dec 2023)
|
 
|
=== 9edf Kartvelian tetradecatonic ===
|
An alternating pattern of [[9edf]] and [[5ed4/3]].
|
*87.744
|
*175.489
|
*263.223
|[[Kartvelian 27-tonic|27]]
*350.978
|-
*438.729
|
*526.466
|
*614.211
|
*701.955
|
*801.564
|
*901.173
|
*1000.782
|[[Kartvelian Enneadecatonic|19]]
*1100.391
|
*1200.000
|
 
|
=== 8edf Kartvelian pentadecatonic ===
|-
An alternating pattern of [[8edf]] and [[7ed4/3]].
|
*87.744
|
*175.489
|
*263.223
|[[Kartvelian Hendecatonic|11]]
*350.978
|
*438.729
|
*526.466
|
*614.211
|[[Kartvelian 22-tonic|22]]
*701.955
|
*773.104
|
*842.254
|-
*914.403
|
*986.552
|
*1057.701
|
*1128.851
|
*1200.000
|
 
|
=== 9edf Kartvelian pentadecatonic ===
|
An alternating pattern of [[9edf]] and [[6ed4/3]].
|
*77.995
|[[Kartvelian 25-tonic|25]]
*155.990
|
*233.985
|-
*311.980
|
*379.975
|
*467.970
|
*545.965
|
*623.965
|[[Kartvelian Tetradecatonic|14]]
*701.955
|
*784.962
|
*867.970
|
*950.978
|
*1033.985
|[[Kartvelian 28-tonic|28]]
*1116.993
|-
*1200.000
|
 
|
=== 9edf Kartvelian hexadecatonic ===
|
An alternating pattern of [[9edf]] and [[7ed4/3]].
|
*77.995
|
*155.990
|[[Kartvelian Heptadecatonic|17]]
*233.985
|
*311.980
|
*379.975
|
*467.970
|
*545.965
|-
*623.965
|
*701.955
|
*773.104
|
*842.254
|
*914.403
|
*986.552
|
*1057.701
|[[Kartvelian Icositonic|20]]
*1128.851
|
*1200.000
|
 
|
=== 10edf Kartvelian hexadecatonic ===
|-
An alternating pattern of [[10edf]] and [[6ed4/3]].
|
*70.196
|
*140.391
|
*210.587
|
*280.782
|
*350.978
|
*421.173
|
*491.396
|[[Kartvelian 23-tonic|23]]
*561.564
|
*631.760
|
*701.955
|-
*784.962
|
*867.970
|
*950.978
|
*1033.985
|
*1116.993
|
*1200.000
|
 
|
=== 9edf Kartvelian heptadecatonic ===
|
An alternating pattern of [[9edf]] and [[8ed4/3]].
|[[Kartvelian 26-tonic|26]]
*77.995
|
*155.990
|-
*233.985
|
*311.980
|
*379.975
|
*467.970
|
*545.965
|
*623.965
|
*701.955
|
*764.211
|
*826.466
|
*888.722
|[[Kartvelian 29-tonic|29]]
*950.978
|-
*1013.233
|[[Kartvelian Tritonic|3]]
*1075.489
|[[Kartvelian Hexatonic|6]]
*1137.744
|[[Kartvelian Enneatonic|9]]
*1200.000
|[[Kartvelian Dodecatonic|12]]
 
|[[Kartvelian Pentadecatonic|15]]
=== 10edf Kartvelian heptadecatonic ===
|[[Kartvelian Octadecatonic|18]]
An alternating pattern of [[10edf]] and [[7ed4/3]]. Very close to [[17edo]].
|[[Kartvelian 21-tonic|21]]
*70.196
|[[Kartvelian 24-tonic|24]]
*140.391
|[[Kartvelian 27-tonic|27]]
*210.587
|[[Kartvelian Triacontatonic|30]]
*280.782
|}
*350.978
[[Category:Kartvelian]]
*421.173
[[Category:Scales by family]]
*491.396
*561.564
*631.760
*701.955
*773.104
*842.254
*914.403
*986.552
*1057.701
*1128.851
*1200.000
 
==== Subsets ====
''See [[17edo#Scales]]''
 
=== 10edf Kartvelian octadecatonic ===
An alternating pattern of [[10edf]] and [[8ed4/3]].
*70.196
*140.391
*210.587
*280.782
*350.978
*421.173
*491.396
*561.564
*631.760
*701.955
*764.211
*826.466
*888.722
*950.978
*1013.233
*1075.489
*1137.744
*1200.000
 
=== 11edf Kartvelian octadecatonic ===
An alternating pattern of [[11edf]] and [[7ed4/3]].
*63.814
*127.628
*191.442
*255.256
*319.070
*382.885
*446.699
*510.513
*574.327
*638.141
*701.955
*773.104
*842.254
*914.403
*986.552
*1057.701
*1128.851
*1200.000
 
=== 11edf Kartvelian enneadecatonic ===
An alternating pattern of [[11edf]] and [[8ed4/3]].
*63.814
*127.628
*191.442
*255.256
*319.070
*382.885
*446.699
*510.513
*574.327
*638.141
*701.955
*764.211
*826.466
*888.722
*950.978
*1013.233
*1075.489
*1137.744
*1200.000
 
=== 12edf Kartvelian enneadecatonic ===
An alternating pattern of [[12edf]] and [[7ed4/3]].
*58.496
*116.993
*175.489
*233.985
*292.481
*350.978
*409.474
*467.970
*526.466
*584.963
*643.459
*701.955
*773.104
*842.254
*914.403
*986.552
*1057.701
*1128.851
*1200.000
 
=== 11edf Kartvelian icositonic ===
An alternating pattern of [[11edf]] and [[9ed4/3]].
*63.814
*127.628
*191.442
*255.256
*319.070
*382.885
*446.699
*510.513
*574.327
*638.141
*701.955
*757.293
*811.632
*867.970
*923.308
*978.946
*1033.985
*1089.323
*1144.668
*1200.000
 
=== 12edf Kartvelian icositonic ===
An alternating pattern of [[12edf]] and [[8ed4/3]].
*58.496
*116.993
*175.489
*233.985
*292.481
*350.978
*409.474
*467.970
*526.466
*584.963
*643.459
*701.955
*764.211
*826.466
*888.722
*950.978
*1013.233
*1075.489
*1137.744
*1200.000
 
=== 12edf Kartvelian 21-tonic ===
An alternating pattern of [[12edf]] and [[9ed4/3]]. Notably, this scale contains within it the traditional [[Kartvelian scale]], so it is a useful extension of that scale.
*58.496
*116.993
*175.489
*233.985
*292.481
*350.978
*409.474
*467.970
*526.466
*584.963
*643.459
*701.955
*757.293
*811.632
*867.970
*923.308
*978.946
*1033.985
*1089.323
*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 ===
An alternating pattern of [[13edf]] and [[8ed4/3]].
*53.997
*107.993
*161.990
*215.986
*269.983
*323.979
*377.979
*431.972
*495.969
*539.996
*593.962
*647.958
*701.955
*764.211
*826.466
*888.722
*950.978
*1013.233
*1075.489
*1137.744
*1200.000
 
=== 12edf Kartvelian 22-tonic ===
An alternating pattern of [[12edf]] and [[10ed4/3]].
*58.496
*116.993
*175.489
*233.985
*292.481
*350.978
*409.474
*467.970
*526.466
*584.963
*643.459
*701.955
*757.293
*811.632
*867.970
*923.308
*978.946
*1033.985
*1089.323
*1144.668
*1200.000
 
=== 13edf Kartvelian 22-tonic ===
An alternating pattern of [[13edf]] and [[9ed4/3]].
*53.997
*107.993
*161.990
*215.986
*269.983
*323.979
*377.979
*431.972
*495.969
*539.996
*593.962
*647.958
*701.955
*757.293
*811.632
*867.970
*923.308
*978.946
*1033.985
*1089.323
*1144.668
*1200.000
 
=== 13edf Kartvelian 23-tonic ===
An alternating pattern of [[13edf]] and [[10ed4/3]].
*53.997
*107.993
*161.990
*215.986
*269.983
*323.979
*377.979
*431.972
*495.969
*539.996
*593.962
*647.958
*701.955
*751.760
*801.564
*851.370
*901.173
*950.978
*1000.782
*1050.586
*1100.391
*1150.196
*1200.000
 
=== 14edf Kartvelian 23-tonic ===
An alternating pattern of [[14edf]] and [[9ed4/3]].
*50.140
*100.297
*150.419
*200.594
*250.698
*300.838
*350.978
*401.117
*451.257
*501.396
*551.536
*601.676
*651.815
*701.955
*757.293
*811.632
*867.970
*923.308
*978.946
*1033.985
*1089.323
*1144.668
*1200.000
 
=== 13edf Kartvelian 24-tonic ===
An alternating pattern of [[13edf]] and [[11ed4/3]].
*53.997
*107.993
*161.990
*215.986
*269.983
*323.979
*377.979
*431.972
*495.969
*539.996
*593.962
*647.958
*701.955
*747.232
*792.509
*837.785
*883.062
*928.339
*973.616
*1018.893
*1064.170
*1109.446
*1154.723
*1200.000
 
=== 14edf Kartvelian 24-tonic ===
An alternating pattern of [[14edf]] and [[10ed4/3]]. Very close to [[24edo]].
*50.140
*100.297
*150.419
*200.594
*250.698
*300.838
*350.978
*401.117
*451.257
*501.396
*551.536
*601.676
*651.815
*701.955
*751.760
*801.564
*851.370
*901.173
*950.978
*1000.782
*1050.586
*1100.391
*1150.196
*1200.000
 
==== Subsets ====
''See [[24edo#Scales_.2F_modes]]''
 
=== 14edf Kartvelian 25-tonic ===
An alternating pattern of [[14edf]] and [[11ed4/3]].
*50.140
*100.297
*150.419
*200.594
*250.698
*300.838
*350.978
*401.117
*451.257
*501.396
*551.536
*601.676
*651.815
*701.955
*747.232
*792.509
*837.785
*883.062
*928.339
*973.616
*1018.893
*1064.170
*1109.446
*1154.723
*1200.000
 
=== 15edf Kartvelian 25-tonic ===
An alternating pattern of [[15edf]] and [[10ed4/3]].
*46.797
*93.594
*140.391
*187.188
*233.985
*280.782
*327.579
*374.376
*421.173
*467.970
*514.767
*561.564
*608.361
*655.158
*701.955
*751.760
*801.564
*851.370
*901.173
*950.978
*1000.782
*1050.586
*1100.391
*1150.196
*1200.000
 
=== 15edf Kartvelian 26-tonic ===
An alternating pattern of [[15edf]] and [[11ed4/3]].
*46.797
*93.594
*140.391
*187.188
*233.985
*280.782
*327.579
*374.376
*421.173
*467.970
*514.767
*561.564
*608.361
*655.158
*701.955
*747.232
*792.509
*837.785
*883.062
*928.339
*973.616
*1018.893
*1064.170
*1109.446
*1154.723
*1200.000
 
=== 16edf Kartvelian 26-tonic ===
An alternating pattern of [[16edf]] and [[10ed4/3]].
*43.872
*87.744
*131.617
*175.489
*219.360
*263.233
*307.105
*350.978
*394.850
*438.722
*482.594
*526.466
*570.338
*614.211
*658.083
*701.955
*751.760
*801.564
*851.370
*901.173
*950.978
*1000.782
*1050.586
*1100.391
*1150.196
*1200.000
 
=== 15edf Kartvelian 27-tonic ===
An alternating pattern of [[15edf]] and [[12ed4/3]].
*46.797
*93.594
*140.391
*187.188
*233.985
*280.782
*327.579
*374.376
*421.173
*467.970
*514.767
*561.564
*608.361
*655.158
*701.955
*743.459
*784.962
*826.466
*867.970
*909.474
*950.978
*992.481
*1033.985
*1075.489
*1116.983
*1158.496
*1200.000
 
=== 16edf Kartvelian 27-tonic ===
An alternating pattern of [[16edf]] and [[11ed4/3]].
*43.872
*87.744
*131.617
*175.489
*219.360
*263.233
*307.105
*350.978
*394.850
*438.722
*482.594
*526.466
*570.338
*614.211
*658.083
*701.955
*747.232
*792.509
*837.785
*883.062
*928.339
*973.616
*1018.893
*1064.170
*1109.446
*1154.723
*1200.000
 
=== 16edf Kartvelian 28-tonic ===
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
*131.617
*175.489
*219.360
*263.233
*307.105
*350.978
*394.850
*438.722
*482.594
*526.466
*570.338
*614.211
*658.083
*701.955
*743.459
*784.962
*826.466
*867.970
*909.474
*950.978
*992.481
*1033.985
*1075.489
*1116.983
*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 ===
An alternating pattern of [[17edf]] and [[11ed4/3]].
*41.291
*82.583
*123.874
*165.166
*206.457
*247.749
*289.040
*330.332
*371.623
*412.915
*454.206
*495.498
*536.789
*578.081
*619.372
*660.664
*701.955
*747.232
*792.509
*837.785
*883.062
*928.339
*973.616
*1018.893
*1064.170
*1109.446
*1154.723
*1200.000
 
=== 16edf Kartvelian 29-tonic ===
An alternating pattern of [[16edf]] and [[13ed4/3]].
*43.872
*87.744
*131.617
*175.489
*219.360
*263.233
*307.105
*350.978
*394.850
*438.722
*482.594
*526.466
*570.338
*614.211
*658.083
*701.955
*740.266
*778.577
*816.888
*855.200
*893.511
*931.822
*970.135
*1008.444
*1046.755
*1085.067
*1123.378
*1161.689
*1200.000
 
=== 17edf Kartvelian 29-tonic ===
An alternating pattern of [[17edf]] and [[12ed4/3]]. Very close to [[29edo]].
*41.291
*82.583
*123.874
*165.166
*206.457
*247.749
*289.040
*330.332
*371.623
*412.915
*454.206
*495.498
*536.789
*578.081
*619.372
*660.664
*701.955
*743.459
*784.962
*826.466
*867.970
*909.474
*950.978
*992.481
*1033.985
*1075.489
*1116.983
*1158.496
*1200.000
 
==== Subsets ====
''See [[29edo#Scales]]''
 
=== 17edf Kartvelian triacontatonic ===
An alternating pattern of [[17edf]] and [[13ed4/3]].
*41.291
*82.583
*123.874
*165.166
*206.457
*247.749
*289.040
*330.332
*371.623
*412.915
*454.206
*495.498
*536.789
*578.081
*619.372
*660.664
*701.955
*740.266
*778.577
*816.888
*855.200
*893.511
*931.822
*970.135
*1008.444
*1046.755
*1085.067
*1123.378
*1161.689
*1200.000
 
=== 18edf Kartvelian triacontatonic ===
An alternating pattern of [[18edf]] and [[12ed4/3]].
*38.998
*77.995
*116.993
*155.990
*194.988
*233.985
*272.983
*311.980
*350.978
*389.975
*428.973
*467.970
*506.068
*545.965
*584.963
*622.980
*661.978
*701.955
*743.459
*784.962
*826.466
*867.970
*909.474
*950.978
*992.481
*1033.985
*1075.489
*1116.983
*1158.496
*1200.000
[[Category:Lists of scales]]
[[Category:EDF]]
[[Category:ED4/3]]
[[Category:Tempered scales]]
[[Category:Pages with mostly numerical content]]
[[Category:Well tempered nonet]]