Kartvelian scales: Difference between revisions
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The '''Kartvelian scales''' generalize the [[ | {{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 = | |||
(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 | |||
*1200.000 | |||
=== Kartvelian tetratonic === | |||
An alternating pattern of [[2edf]] and [[2ed4/3]]. | |||
*350.978 | |||
*701.955 | |||
*950.978 | |||
*1200.000 | |||
=== Kartvelian pentatonic === | |||
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 | |||
*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 | |||
*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 | |||
*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 | |||
*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 | |||
*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 | |||
*421.173 | |||
*561.564 | |||
*701.955 | |||
*826.466 | |||
*950.978 | |||
*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 | |||
*701.955 | |||
*867.970 | |||
*1033.985 | |||
*1200.000 | |||
=== 5edf Kartvelian decatonic === | |||
An alternating pattern of [[5edf]] and [[5ed4/3]]. | |||
*140.391 | |||
*280.782 | |||
*421.173 | |||
*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]]. | |||
*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 | |||
*233.985 | |||
*350.978 | |||
*467.970 | |||
*584.963 | |||
*701.955 | |||
*801.564 | |||
*901.173 | |||
*1000.782 | |||
*1100.391 | |||
*1200.000 | |||
=== 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 | |||
*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 | |||
*200.559 | |||
*300.838 | |||
*401.117 | |||
*501.396 | |||
*601.676 | |||
*701.955 | |||
*801.564 | |||
*901.173 | |||
*1000.782 | |||
*1100.391 | |||
*1200.000 | |||
=== 8edf Kartvelian dodecatonic === | |||
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 | |||
=== 7edf Kartvelian triskaidekatonic === | |||
An alternating pattern of [[7edf]] and [[6ed4/3]]. | |||
*100.279 | |||
*200.559 | |||
*300.838 | |||
*401.117 | |||
*501.396 | |||
*601.676 | |||
*701.955 | |||
*784.962 | |||
*867.970 | |||
*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 | |||
*350.978 | |||
*438.729 | |||
*526.466 | |||
*614.211 | |||
*701.955 | |||
*801.564 | |||
*901.173 | |||
*1000.782 | |||
*1100.391 | |||
*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 | |||
*526.466 | |||
*614.211 | |||
*701.955 | |||
*784.962 | |||
*867.970 | |||
*950.978 | |||
*1033.985 | |||
*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 === | |||
An alternating pattern of [[9edf]] and [[5ed4/3]]. | |||
*87.744 | |||
*175.489 | |||
*263.223 | |||
*350.978 | |||
*438.729 | |||
*526.466 | |||
*614.211 | |||
*701.955 | |||
*801.564 | |||
*901.173 | |||
*1000.782 | |||
*1100.391 | |||
*1200.000 | |||
=== 8edf Kartvelian pentadecatonic === | |||
An alternating pattern of [[8edf]] and [[7ed4/3]]. | |||
*87.744 | |||
*175.489 | |||
*263.223 | |||
*350.978 | |||
*438.729 | |||
*526.466 | |||
*614.211 | |||
*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 | |||
*155.990 | |||
*233.985 | |||
*311.980 | |||
*379.975 | |||
*467.970 | |||
*545.965 | |||
*623.965 | |||
*701.955 | |||
*784.962 | |||
*867.970 | |||
*950.978 | |||
*1033.985 | |||
*1116.993 | |||
*1200.000 | |||
=== 9edf Kartvelian hexadecatonic === | |||
An alternating pattern of [[9edf]] and [[7ed4/3]]. | |||
*77.995 | |||
*155.990 | |||
*233.985 | |||
*311.980 | |||
*379.975 | |||
*467.970 | |||
*545.965 | |||
*623.965 | |||
*701.955 | |||
*773.104 | |||
*842.254 | |||
*914.403 | |||
*986.552 | |||
*1057.701 | |||
*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 | |||
*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]]. | |||
*77.995 | |||
*155.990 | |||
*233.985 | |||
*311.980 | |||
*379.975 | |||
*467.970 | |||
*545.965 | |||
*623.965 | |||
*701.955 | |||
*764.211 | |||
*826.466 | |||
*888.722 | |||
*950.978 | |||
*1013.233 | |||
*1075.489 | |||
*1137.744 | |||
*1200.000 | |||
=== 10edf Kartvelian heptadecatonic === | |||
An alternating pattern of [[10edf]] and [[7ed4/3]]. Very close to [[17edo]]. | |||
*70.196 | |||
*140.391 | |||
*210.587 | |||
*280.782 | |||
*350.978 | |||
*421.173 | |||
*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]] |