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User:Moremajorthanmajor/3L 2s (minor sixth-equivalent): Difference between revisions

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Line 34: Line 34:
|La#
|La#
|Α#
|Α#
|1\18
|1\18, 46.154
46.154
|1\13, 63.158
|1\13
|2\21, 77.419
63.158
| rowspan="2" |1\8, 100
|2\21
|3\19, 124.138
77.419
|2\11, 141.176
| rowspan="2" |1\8
|3\14, 163.{{Overline|63}}
100
|3\19
124.138
|2\11
141.1765
|3\14
163.{{Overline|63}}
|-
|-
|Sib
|Sib
|Βb
|Βb
|3\18
|3\18, 138.462
138.4615
|2\13, 126.316
|2\13
|3\21, 116.129
126.316
|2\19, 82.759
|3\21
|1\11, 70.588
116.129
|1\14, 54.{{Overline|54}}
|2\19
82.759
|1\11
70.588
|1\14
54.{{Overline|54}}
|-
|-
|Si
|Si
|Β
|Β
|4\18
|4\18, 184.615
184.615
|3\13, 189.474
|3\13
|5\21, 193.548
189.474
|2\8, 200
|5\21
|5\19, 206.897
193.548
|3\11, 211.764
|2\8
|4\14, 218.{{Overline|18}}
200
|5\19
206.897
|3\11
211.764
|4\14
218.{{Overline|18}}
|-
|-
|Si#
|Si#
|Β#
|Β#
|5\18
|5\18, 230.769
230.769
| rowspan="2" |4\13, 252.632
| rowspan="2" |4\13
|7\21, 270.968
252.632
|3\8, 300
|7\21
|8\19, 331.034
270.968
|5\11 352.941
|3\8
|7\14, 381.{{Overline|81}}
300
|8\19
331.0345
|5\11
352.941
|7\14
381.{{Overline|81}}
|-
|-
|Dob
|Dob
|Γb
|Γb
|6\18
|6\18, 276.923
276.923
|6\21, 232.258
|6\21
|2\8, 200
232.258
|4\19, 165.517
|2\8
|2\11, 141.176
200
|2\14, 109.{{Overline|09}}
|4\19
165.517
|2\11
141.1765
|2\14
109.{{Overline|09}}
|-
|-
|'''Do'''
|'''Do'''
|'''Γ'''
|'''Γ'''
|'''7\18'''
|'''7\18,''' '''323.076'''
'''323.076'''
|'''5\13,''' '''315.789'''
|'''5\13'''
|'''8\21,''' '''309.677'''
'''315.7895'''
|'''3\8,''' '''300'''
|'''8\21'''
|'''7\19,''' '''289.655'''
'''309.677'''
|'''4\11.''' '''282.353'''
|'''3\8'''
|'''5\14,''' '''272.{{Overline|72}}'''
'''300'''
|'''7\19'''
'''289.655'''
|'''4\11'''
'''282.353'''
|'''5\14'''
'''272.{{Overline|72}}'''
|-
|-
|Do#
|Do#
|Γ#
|Γ#
|8\18
|8\18, 369.231
369.231
|6\13, 378.947
|6\13
|10\21, 387.097
378.947
| rowspan="2" |4\8, 400
|10\21
|10\19, 413.793
387.097
|6\11, 423.529
| rowspan="2" |4\8
|8\14, 436.{{Overline|36}}
400
|10\19
413.793
|6\11
423.529
|8\14
436.{{Overline|36}}
|-
|-
|Reb
|Reb
|Δb
|Δb
|10\18
|10\18, 461.538
461.5385
|7\13, 442.105
|7\13
|11\21, 425.806
442.105
|9\19, 372.413
|11\21
|5\11 352.941
425.8065
|6\14, 327.{{Overline|27}}
|9\19
372.413
|5\11
352.941
|6\14
327.{{Overline|27}}
|-
|-
|'''Re'''
|'''Re'''
|'''Δ'''
|'''Δ'''
|'''11\18'''
|'''11\18,''' '''507.692'''
'''507.692'''
|'''8\13,''' '''505.263'''
|'''8\13'''
|'''13\21,''' '''503.226'''
'''505.263'''
|'''5\8,''' '''500'''
|'''13\21'''
|'''12\19,''' '''496.551'''
'''503.226'''
|'''7\11,''' '''494.118'''
|'''5\8'''
|'''9\14,''' '''490.{{Overline|90}}'''
'''500'''
|'''12\19'''
'''496.551'''
|'''7\11'''
'''494.118'''
|'''9\14'''
'''490.{{Overline|90}}'''
|-
|-
|Re#
|Re#
|Δ#
|Δ#
|12\18
|12\18, 553.846
553.846
|9\13, 568.421
|9\13
|15\21, 580.645
568.421
| rowspan="2" |6\8, 600
|15\21
|15\19, 620.689
580.645
|9\11, 635.294
| rowspan="2" |6\8
|12\14, 654.{{Overline|54}}
600
|15\19
620.689
|9\11
635.294
|12\14
654.{{Overline|54}}
|-
|-
|Mib
|Mib
|Εb
|Εb
|14\18
|14\18, 646.154
646.154
|10\13, 631.579
|10\13
|16\21, 619.355
631.579
|14\19, 579.310
|16\21
|8\11, 564.706
619.355
|10\14, 545.{{Overline|45}}
|14\19
579.310
|8\11
564.706
|10\14
545.{{Overline|45}}
|-
|-
|Mi
|Mi
|Ε
|Ε
|15\18
|15\18, 692.308
692.308
|11\13, 694.737
|11\13
|18\21, 696.774
694.737
|7\8, 700
|18\21
|17\19, 703.448
696.774
|10\11, 705.882
|7\8
|13\14, 709.{{Overline|09}}
700
|17\19
703.448
|10\11
705.88235
|13\14
709.{{Overline|09}}
|-
|-
|Mi#
|Mi#
|Ε#
|Ε#
|16\18
|16\18, 738.462
738.4615
| rowspan="2" |12\13, 757.895
| rowspan="2" |12\13
| 20\21, 774.194
757.895
|8\8, 800
| 20\21
|20\19, 827.586
774.194
|12\11, 847.059
|8\8
|16\14, 872.{{Overline|72}}
800
|20\19
827.586
|12\11
847.059
|16\14
872.{{Overline|72}}
|-
|-
|Lab
|Lab
|Ϛb/Ϝb
|Ϛb/Ϝb
|17\18
|17\18, 784.615
784.615
|19\21, 735.484
|19\21
|7\8, 700
735.484
|16\19, 662.069
|7\8
|9\11, 635.294
700
|11\14, 600
|16\19
662.069
|9\11
635.294
|11\14
600
|-
|-
!La
!La
!Ϛ/Ϝ
!Ϛ/Ϝ
!18\18
!18\18, 830.769
830.769
!13\13, 821.053
!13\13
!21\21, 812.903
821.053
!8\8, 800
!21\21
!19\19, 786.207
812.903
!11\11, 776.471
!8\8
!14\14, 763.{{Overline|63}}
 
800
!19\19
786.207
!11\11
776.471
!14\14
 
763.{{Overline|63}}
|-
|-
|La#
|La#
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|19\18
|19\18, 876.923
876.923
|14\13, 884.211
|14\13
|23\21, 890.323
884.2105
| rowspan="2" |9\8, 900
|23\21
|22\19, 910.345
890.323
|13\11, 917.647
| rowspan="2" |9\8
|17\14, 927.{{Overline|27}}
900
|22\19
910.345
|13\11
917.647
|17\14
927.{{Overline|27}}
|-
|-
|Sib
|Sib
|Ζb
|Ζb
|21\18
|21\18, 969.231
969.231
|15\13, 947.368
|15\13
|24\21, 929.032
947.368
|21\19, 868.966
|24\21
|12\11, 847.059
929.032
|15\14, 818.{{Overline|18}}
|21\19
868.9655
|12\11
847.059
|15\14
818.{{Overline|18}}
|-
|-
|Si
|Si
|Ζ
|Ζ
|22\18
|22\18, 1015.385
1015.385
|16\13, 1010.526
|16\13
|26\21, 1006.452
1010.526
|10\8, 1000
|26\21
|24\19, 993.103
1006.452
|14\11, 988.235
|10\8
|18\14, 981.{{Overline|81}}
1000
|24\19
993.1035
|14\11
988.235
|18\14
981.{{Overline|81}}
|-
|-
|Si#
|Si#
|Ζ#
|Ζ#
|23\18
|23\18, 1061.538
1061.5385
| rowspan="2" |17\13, 1071.684
| rowspan="2" |17\13
|28\21, 1083.871
1071.684
|11\8, 1100
|28\21
|27\19, 1117.241
1083.871
|16\11, 1129.412
|11\8
|21\14, 1145.{{Overline|45}}
1100
|27\19
1117.241
|16\11
1129.412
|21\14
1145.{{Overline|45}}
|-
|-
|Dob
|Dob
|Ηb
|Ηb
|24\18
|24\18, 1107.692
1107.692
|27\21, 1045.161
|27\21
|10\8, 1000
1045.161
|23\19, 951.724
|10\8
|13\11, 917.647
1000
|16\14, 872.{{Overline|72}}
|23\19
951.724
|13\11
917.647
|16\14
872.{{Overline|72}}
|-
|-
|'''Do'''
|'''Do'''
|'''Η'''
|'''Η'''
|'''25\18'''
|'''25\18,''' '''1153.846'''
'''1153.846'''
|'''18\13,''' '''1136.842'''
|'''18\13'''
|'''29\21,''' '''1122.581'''
'''1136.842'''
|'''11\8,''' '''1100'''
|'''29\21'''
|'''26\19,''' '''1075.862'''
'''1122.581'''
|'''15\11,''' '''1058.824'''
|'''11\8'''
|'''19\14,''' '''1036.{{Overline|36}}'''
'''1100'''
|'''26\19'''
'''1075.862'''
|'''15\11'''
'''1052.8235'''
|'''19\14'''
'''1036.{{Overline|36}}'''
|-
|-
|Do#
|Do#
|Η#
|Η#
|26\18
|26\18, 1200
1200
|19\13, 1200
|19\13
|31\21, 1200
1200
| rowspan="2" |12\8, 1200
|31\21
|29\19, 1200
1200
|17\11, 1200
| rowspan="2" |12\8
|22\14, 1200
1200
|29\19
1200
|17\11
1200
|22\14
1200
|-
|-
|Reb
|Reb
|Θb
|Θb
|28\18
|28\18, 1292.308
1292.308
|20\13, 1263.158
|20\13
|32\21, 1238.710
1263.158
|28\19, 1158.621
|32\21
|16\11, 1129.412
1238.710
|20\14, 1090.{{Overline|90}}
|28\19
1158.621
|16\11
1129.412
|20\14
1090.{{Overline|90}}
|-
|-
|'''Re'''
|'''Re'''
|'''Θ'''
|'''Θ'''
|'''29\18'''
|'''29\18,''' '''1338.462'''
'''1338.4615'''
|'''21\13,''' '''1326.316'''
|'''21\13'''
|'''34\21,''' '''1316.129'''
'''1326.316'''
|'''13\8,''' '''1300'''
|'''34\21'''
|'''31\19,''' '''1282.759'''
'''1316.129'''
|'''18\11,''' '''1270.588'''
|'''13\8'''
|'''23\14,''' '''1254.{{Overline|54}}'''
'''1300'''
|'''31\19'''
'''1282.759'''
|'''18\11'''
'''1270.588'''
|'''23\14'''
'''1254.{{Overline|54}}'''
|-
|-
|Re#
|Re#
|Θ#
|Θ#
|30\18
|30\18, 1384.615
1384.615
|22\13, 1389.474
|22\13
|36\21, 1393.548
1389.474
| rowspan="2" |14\8, 1400
|36\21
|34\19, 1406.897
1393.548
|20\11, 1411.765
| rowspan="2" |14\8
|26\14, 1418.{{Overline|18}}
1400
|34\19
1406.897
|20\11
1411.765
|26\14
1418.{{Overline|18}}
|-
|-
|Mib
|Mib
|Ιb
|Ιb
|32\18
|32\18, 1476.923
1476.923
|23\13, 1452.632
|23\13
|37\21, 1432.258
1452.632
|33\19, 1365.517
|37\21
|19\11, 1341.176
1432.258
|24\14, 1309.{{Overline|09}}
|33\19
1365.517
|19\11
1341.1765
|24\14
1309.{{Overline|09}}
|-
|-
|Mi
|Mi
|Ι
|Ι
|33\18
|33\18, 1523.077
1523.077
|24\13, 1515.789
|24\13
|39\21, 1509.677
1515.7895
|15\8, 1500
|39\21
|36\19, 1489.655
1509.677
|21\11, 1482.352
|15\8
|27\14, 1472.{{Overline|72}}
1500
|36\19
1489.655
|21\11
1482.352
|27\14
1472.{{Overline|72}}
|-
|-
|Mi#
|Mi#
|Ι#
|Ι#
|34\18
|34\18, 1569.231
1569.231
| rowspan="2" |25\13, 1578.947
| rowspan="2" |25\13
|41\21, 1587.097
1578.947
|16\8, 1600
|41\21
|39\19, 1613.793
1587.097
|23\11, 1623.529
|16\8
|30\14, 1636.{{Overline|36}}
1600
|39\19
1613.793
|23\11
1623.529
|30\14
1636.{{Overline|36}}
|-
|-
|Lab
|Lab
|Αb
|Αb
|35\18
|35\18, 1615.385
1615.385
|40\21, 1548.387
|40\21
|15\8, 1500
1548.387
|35\19, 1448.286
|15\8
|20\11, 1411.765
1500
|25\14, 1363.{{Overline|63}}
|35\19
1448.286
|20\11
1411.765
|25\14
1363.{{Overline|63}}
|-
|-
!La
!La
!Α
!Α
!36\18
!36\18, 1661.538
1661.5385
!26\13, 1642.105
!26\13
!42\21, 1625.806
1642.105
!16\8, 1600
!42\21
!38\19, 1572.414
1625.8065
!22\11, 1552.941
!16\8
!28\14, 1527.{{Overline|27}}
 
1600
!38\19
1572.414
!22\11
1552.941
!28\14
1527.{{Overline|27}}
|}
|}


Line 699: Line 496:
[[Comma]] list: [[81/80]]
[[Comma]] list: [[81/80]]


[[POL2]] generator: ~6/5 = 308.3057
[[POL2]] generator: ~6/5 = 308.3057¢


[[Mapping]]: [{{val|1 1 2}}, {{val|0 -1 -3}}]
[[Mapping]]: [{{val|1 1 2}}, {{val|0 -1 -3}}]


[[Optimal ET sequence]]: 5ed8/5, 8ed8/5, 13ed8/5
[[Optimal ET sequence]]: [[5ed8/5]], [[8ed8/5]], [[13ed8/5]]
==='''Aeolianic-Superpyth'''===
==='''Aeolianic-Superpyth'''===
[[Subgroup]]: 14/9.4/3.3/2
[[Subgroup]]: 14/9.4/3.3/2
Line 709: Line 506:
[[Comma]] list: [[64/63]]
[[Comma]] list: [[64/63]]


[[POL2]] generator: ~7/6 = 276.0795
[[POL2]] generator: ~7/6 = 276.0795¢


[[Mapping]]:  [{{val|1 1 2}}, {{val|0 -1 -3}}]
[[Mapping]]:  [{{val|1 1 2}}, {{val|0 -1 -3}}]


[[Optimal ET sequence]]: 3ed14/9, 11ed14/9, 14ed14/9
[[Optimal ET sequence]]: [[3ed14/9]], [[11ed14/9]], [[14ed14/9]]


==Scale tree==
==Scale tree==
Line 1,089: Line 886:
|54\85
|54\85
|
|
|494.6565
|[[Tel:494.6565|494.6565]]
|23
|23
|8
|8
Line 1,350: Line 1,147:
==See also==
==See also==
[[3L 2s (14/9-equivalent)]] - idealized Archytas tuning
[[3L 2s (14/9-equivalent)]] - idealized Archytas tuning
[[3L 2s (11/7-equivalent)]] - Neogothic tuning


[[3L 2s (8/5-equivalent)]] - idealized Meantone tuning
[[3L 2s (8/5-equivalent)]] - idealized Meantone tuning
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/3L_2s_(minor_sixth-equivalent)"