User:Moremajorthanmajor/13edIX: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
No edit summary
Line 3: Line 3:
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="3" |Degrees
! rowspan="4" |Degrees
! rowspan="3" |Octatonic
! colspan="2" rowspan="3" |Octatonic
! colspan="3" |Soft Phrygian  
! colspan="3" |Soft Phrygian  
! colspan="6" |Phrygian  
! colspan="6" |Phrygian  
|-
! rowspan="3" |Minimum-comma
! rowspan="3" |Median
! rowspan="3" |Maximum+comma
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
|-
! rowspan="2" |Minimum-comma
! rowspan="2" |Minimum-comma
! rowspan="2" |Median
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2" |Maximum+comma
! rowspan="2" |Maximum+comma
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
|-
!Minimum-comma
!Natural
!Median
!Subset of 26edn
! colspan="2" |Maximum+comma~Minimum-comma
!Median
!Maximum+comma
|-
|-
| |1
| |1
| |G#/Ab
| |G#/Ab
|G#v/Ab^
|89.231-''92.308''
|89.231-''92.308''
|96.5035
|96.5035
Line 31: Line 35:
|-
|-
| |2
| |2
| |A
| colspan="2"|A
|178.4615-''184.615''
|178.4615-''184.615''
|193.007
|193.007
Line 42: Line 46:
| |3
| |3
| |A#/Bb
| |A#/Bb
|A#v/Bb^
|267.692-''276.923''
|267.692-''276.923''
|289.5105
|289.5105
Line 51: Line 56:
|-
|-
| |4
| |4
| |B
| colspan="2"|B
|356.923-''369.231''
|356.923-''369.231''
|386.014
|386.014
Line 62: Line 67:
| |5
| |5
| |C
| |C
|B#v/Cb^
|446.154-''461.5385''
|446.154-''461.5385''
|482.5175
|482.5175
Line 72: Line 78:
| |6
| |6
| |C#/Qb
| |C#/Qb
|C
|535.385-''553.846''
|535.385-''553.846''
|579.021
|579.021
Line 82: Line 89:
| |7
| |7
| |Q
| |Q
|Db
|624.615-''646.154''
|624.615-''646.154''
|675.5245
|675.5245
Line 92: Line 100:
| |8
| |8
| |D
| |D
|Q#
|713.846-''738.4615''
|713.846-''738.4615''
|772.0228
|772.0228
Line 102: Line 111:
| |9
| |9
| |D#/Eb
| |D#/Eb
|Eb
|802.077-''830.769''
|802.077-''830.769''
|868.5315
|868.5315
Line 112: Line 122:
| |10
| |10
| |E
| |E
|D#
|892.308-''923.077''
|892.308-''923.077''
|965.035
|965.035
Line 122: Line 133:
| |11
| |11
| |E#/Fb
| |E#/Fb
|Fb
|981.5385-''1015.385''
|981.5385-''1015.385''
|1061.5385
|1061.5385
Line 132: Line 144:
| |12
| |12
| |F
| |F
|E#
|1070.769-''1107.692''
|1070.769-''1107.692''
|1158.042
|1158.042
Line 141: Line 154:
|-
|-
| |13
| |13
| |G
| colspan="2"|G
|1160-''1200''
|1160-''1200''
|1254.5455
|1254.5455
Line 153: Line 166:
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
! rowspan="3" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="4" rowspan="2" |Octatonic
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="4" |Soft Aeolian
! colspan="4" |Soft Aeolian
|-
|-
!Minimum-comma
! rowspan="2" |Minimum-comma
!Median
! rowspan="2" |Median
! colspan="2" |Maximum+comma~Minimum-comma
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
!Median
! rowspan="2" |Median
! colspan="2" |Maximum+comma~Minimum-comma
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
!''r¢''
! rowspan="2" |''r¢''
!Median
! rowspan="2" |Median
!Maximum+comma
! rowspan="2" |Maximum+comma
|-
! colspan="2" |Natural
! colspan="2" |Subset of 26edn
|-
|-
| |1
| |1
| |F#/Gb
| |F#/Gb
|G#/Ab
|G#/Ab
|F#v/Gb^
|G#v/Ab^
|98.4615-101.5385
|98.4615-101.5385
|102.024
|102.024
Line 182: Line 200:
| |2
| |2
| |G
| |G
|A
|G
|A
|A
|196.923-203.077
|196.923-203.077
Line 195: Line 215:
| |G#/Ab
| |G#/Ab
|A#/Bb
|A#/Bb
|G#v/Ab^
|A#v/Bb^
|295.385-304.615
|295.385-304.615
|306.073
|306.073
Line 206: Line 228:
| |4
| |4
| |A
| |A
|B
|A
|B
|B
|393.846-406.154
|393.846-406.154
Line 219: Line 243:
| |B
| |B
|C
|C
|A#v/Bb^
|B#v/Cb^
|492.308-507.692
|492.308-507.692
|510.1215
|510.1215
Line 231: Line 257:
| |B#/Hb
| |B#/Hb
|C#/Qb
|C#/Qb
|B
|C
|590.769-609.231
|590.769-609.231
|612.146
|612.146
Line 243: Line 271:
| |H
| |H
|Q
|Q
|Cb
|Db
|689.231-710.769
|689.231-710.769
|714.17
|714.17
Line 255: Line 285:
| |C
| |C
|D
|D
|H#
|Q#
|787.692-812.308
|787.692-812.308
|816.194
|816.194
Line 267: Line 299:
| |C#/Db
| |C#/Db
|D#/Eb
|D#/Eb
|Db
|Eb
|886.154-913.846
|886.154-913.846
|918.219
|918.219
Line 279: Line 313:
| |D
| |D
|E
|E
|C#
|D#
|984.615-1015.385
|984.615-1015.385
|1020.243
|1020.243
Line 291: Line 327:
| |D#/Eb
| |D#/Eb
|E#/Fb
|E#/Fb
|Eb
|Fb
|1083.077-1116.923
|1083.077-1116.923
|1123.267
|1123.267
Line 303: Line 341:
| |E
| |E
|F
|F
|D#
|E#
|1181.5385-1218.4615
|1181.5385-1218.4615
|1224.291
|1224.291
Line 314: Line 354:
| |13
| |13
| |F
| |F
|G
|F
|G
|G
|1280-1320
|1280-1320
Line 326: Line 368:


{| class="wikitable"
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="4" |Degrees
! rowspan="3" |Octatonic
! colspan="2" rowspan="3" |Octatonic
! colspan="6" |Aeolian  
! colspan="6" |Aeolian  
! colspan="8" |Intense Aeolian  
! colspan="8" |Intense Aeolian  
Line 346: Line 388:
!Median
!Median
!Maximum+comma
!Maximum+comma
|-
!Natural
!Subset of 26edn
!
!
!
!
!
!
!
!
!
!
!
!
!
!
|-
|-
| |1
| |1
| |F#/Gb
| |F#/Gb
|F#v/Gb^
|102.418-105.4945
|102.418-105.4945
|106.509
|106.509
Line 361: Line 421:
|-
|-
| |2
| |2
| |G
| colspan="2"|G
|204.835-210.989
|204.835-210.989
|213.018
|213.018
Line 375: Line 435:
| |3
| |3
| |G#/Ab
| |G#/Ab
|F#v/Gb^
|307.253-316.4835
|307.253-316.4835
|319.527
|319.527
Line 387: Line 448:
|-
|-
| |4
| |4
| |A
| colspan="2"|A
|409.67-421.978
|409.67-421.978
|426.036
|426.036
Line 401: Line 462:
| |5
| |5
| |B
| |B
|A#v/Bb^
|512.088-527.4725
|512.088-527.4725
|532.544
|532.544
Line 414: Line 476:
| |6
| |6
| |B#/Hb
| |B#/Hb
|B
|614.5055-632.967
|614.5055-632.967
|639.053
|639.053
Line 427: Line 490:
| |7
| |7
| |H
| |H
|Cb
|716.923-738.4615
|716.923-738.4615
|745.562
|745.562
Line 440: Line 504:
| |8
| |8
| |C
| |C
|H#
|819.341-843.856
|819.341-843.856
|853.071
|853.071
Line 453: Line 518:
| |9
| |9
| |C#/Db
| |C#/Db
|Db
|921.758-949.4505
|921.758-949.4505
|958.58
|958.58
Line 466: Line 532:
| |10
| |10
| |D
| |D
|C#
|1024.176-1054.945
|1024.176-1054.945
|1065.089
|1065.089
Line 479: Line 546:
| |11
| |11
| |D#/Eb
| |D#/Eb
|Eb
|1126.593-1160.44
|1126.593-1160.44
|1171.598
|1171.598
Line 492: Line 560:
| |12
| |12
| |E
| |E
|D#
|1229.011-1265.934
|1229.011-1265.934
|1278.1065
|1278.1065
Line 504: Line 573:
|-
|-
| |13
| |13
| |F
| colspan="2"|F
|1331.429-1371.429
|1331.429-1371.429
|1384.615
|1384.615
Line 519: Line 588:
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="3" |Degrees
! rowspan="4" |Degrees
! rowspan="3" |Octatonic
! colspan="2" rowspan="3" |Octatonic
! colspan="2" |Soft Phrygian
! colspan="2" |Soft Phrygian
! colspan="4" |Phrygian
! colspan="4" |Phrygian
|-
|-
! rowspan="2" |Min-Med
! rowspan="3" |Min-Med
! rowspan="2" |Min-Max/Med-Max
! rowspan="3" |Min-Max/Med-Max
! colspan="2" |Thirdtone
! colspan="2" |Thirdtone
! colspan="2" |Semitone
! colspan="2" |Semitone
|-
|-
!Min-Med/Min-Max
! rowspan="2" |Min-Med/Min-Max
!Med-Max
! rowspan="2" |Med-Max
!Min-Med/Min-Max
! rowspan="2" |Min-Med/Min-Max
!Med-Max
! rowspan="2" |Med-Max
|-
!Natural
!Subset of 26edn
|-
|-
| |1
| |1
| |G#/Ab
| |G#/Ab
|G#v/Ab^
|95.389-97.389
|95.389-97.389
|95.578-97.578
|95.578-97.578
Line 544: Line 617:
|-
|-
| |2
| |2
| |A
| colspan="2"|A
|190.778-194.778
|190.778-194.778
|191.155-195.155
|191.155-195.155
Line 554: Line 627:
| |3
| |3
| |A#/Bb
| |A#/Bb
|A#v/Bb^
|286.1665-292.1665
|286.1665-292.1665
|286.733-292.733
|286.733-292.733
Line 562: Line 636:
|-
|-
| |4
| |4
| |B
| colspan="2"|B
|381.555-389.555
|381.555-389.555
|382.3105-390.3105
|382.3105-390.3105
Line 572: Line 646:
| |5
| |5
| |C
| |C
|B#v/Cb^
|476.944-486.944
|476.944-486.944
|477.888-487.888
|477.888-487.888
Line 581: Line 656:
| |6
| |6
| |C#/Qb
| |C#/Qb
|C
|572.333-584.333
|572.333-584.333
|573.466-585.466
|573.466-585.466
Line 590: Line 666:
| |7
| |7
| |Q
| |Q
|Db
|667.722-681.722
|667.722-681.722
|669.043-683.043
|669.043-683.043
Line 599: Line 676:
| |8
| |8
| |D
| |D
|Q#
|763.111-781.111
|763.111-781.111
|764.621-780.621
|764.621-780.621
Line 608: Line 686:
| |9
| |9
| |D#/Eb
| |D#/Eb
|Eb
|858.5-876.5
|858.5-876.5
|860.199-878.199
|860.199-878.199
Line 617: Line 696:
| |10
| |10
| |E
| |E
|D#
|953.8885-973.8885
|953.8885-973.8885
|955.776-975.776
|955.776-975.776
Line 626: Line 706:
| |11
| |11
| |E#/Fb
| |E#/Fb
|Fb
|1049.277-1071.277
|1049.277-1071.277
|1051.354-1073.354
|1051.354-1073.354
Line 635: Line 716:
| |12
| |12
| |F
| |F
|E#
|1144.666-1168.666
|1144.666-1168.666
|1146.932-1170.932
|1146.932-1170.932
Line 643: Line 725:
|-
|-
| |13
| |13
| |G
| colspan="2"|G
|1240.055-1266.055
|1240.055-1266.055
|1242.506-1268.509
|1242.506-1268.509
Line 654: Line 736:
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
! rowspan="3" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="4" rowspan="2" |Octatonic
! colspan="2" |Intense Phrygian
! colspan="2" |Intense Phrygian
! colspan="4" |Intense Phrygian-Soft Aeolian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="5" |Soft Aeolian
! colspan="2" |Soft Aeolian
|-
|-
!Min-Med/Min-Max
! rowspan="2" |Min-Med/Min-Max
!Med-Max
! rowspan="2" |Med-Max
!Min-Med/Min-Max±13¢
! rowspan="2" |Min-Med/Min-Max
!Median
! rowspan="2" |Med-Max
!Med-Max±13¢
! rowspan="2" |Min-Med/Min-Max
!Maximum
! rowspan="2" |Med-Max
!Minimum
|-
!Min-Med/Min-Max±13¢
! colspan="2" |Natural
!Median
! colspan="2" |Subset of 26edn
!Med-Max±13¢
!Maximum
|-
|-
| |1
| |1
| |F#/Gb
| |F#/Gb
|G#/Ab
|G#/Ab
|F#v/Gb^
|G#v/Ab^
|100.905-102.905
|100.905-102.905
|101.1465-103.1465
|101.1465-103.1465
|102.019-104.019
|102.019-104.019
|103.167
|102.32-104.32
|102.32-104.32
| colspan="2" |''103.846''
|103.425-105.425
|103.425-105.425
|104.615
|103.812-105.812
|103.812-105.812
|105.4945
|-
|-
| |2
| |2
| |G
| |G
|A
|G
|A
|A
|201.81-205.81
|201.81-205.81
|202.293-206.293
|202.293-206.293
|204.037-208.037
|204.037-208.037
|206.335
|204.641-208.641
|204.641-208.641
| colspan="2" |''207.692''
|206.849-210.849
|206.849-210.849
|209.231
|207.624-211.624
|207.624-211.624
|210.989
|-
|-
| |3
| |3
| |G#/Ab
| |G#/Ab
|A#/Bb
|A#/Bb
|G#v/Ab^
|A#v/Bb^
|302.715-308.715
|302.715-308.715
|303.44-309.44
|303.44-309.44
|306.056-312.056
|306.056-312.056
|309.502
|306.961-312.961
|306.961-312.961
| colspan="2" |''311.5385''
|310.274-316.274
|310.274-316.274
|313.846
|311.4365-317.4365
|311.4365-317.4365
|316.4835
|-
|-
| |4
| |4
| |A
| |A
|B
|A
|B
|B
|403.62-411.62
|403.62-411.62
|404.586-412.586
|404.586-412.586
|408.075-416.075
|408.075-416.075
|412.67
|409.281-417.281
|409.281-417.281
| colspan="2" |''415.385''
|413.699-421.699
|413.699-421.699
|418.4615
|415.249-423.249
|415.249-423.249
|421.978
|-
|-
| |5
| |5
| |B
| |B
|C
|C
|A#v/Bb^
|B#v/Cb^
|504.525-514.525
|504.525-514.525
|505.733-515.733
|505.733-515.733
|510.093-520.093
|510.093-520.093
|515.837
|511.602-521.602
|511.602-521.602
| colspan="2" |''519.231''
|517.123-527.123
|517.123-527.123
|523.077
|519.061-529.061
|519.061-529.061
|527.4725
|-
|-
| |6
| |6
| |B#/Hb
| |B#/Hb
|C#/Qb
|C#/Qb
|B
|C
|605.43-617.43
|605.43-617.43
|606.879-618.879
|606.879-618.879
|612.112-624.112
|612.112-624.112
|619.0045
|613.922-625.922
|613.922-625.922
| colspan="2" |''623.077''
|620.548-632.548
|620.548-632.548
|627.692
|622.873-634.873
|622.873-634.873
|632.967
|-
|-
| |7
| |7
| |H
| |H
|Q
|Q
|Cb
|Db
|706.335-720.335
|706.335-720.335
|708.026-722.026
|708.026-722.026
|714.131-728.131
|714.131-728.131
|722.172
|716.242-730.242
|716.242-730.242
| colspan="2" |''736.923''
|723.973-737.973
|723.973-737.973
|732.308
|726.685-740.685
|726.685-740.685
|738.4615
|-
|-
| |8
| |8
| |C
| |C
|D
|D
|H#
|Q#
|807.24-823.24
|807.24-823.24
|809.172-825.172
|809.172-825.172
|816.1495-832.1495
|816.1495-832.1495
|825.339
|818.563-834.563
|818.563-834.563
| colspan="2" |''830.769''
|827.3975-843.3975
|827.3975-843.3975
|836.923
|830.497-846.497
|830.497-846.497
|843.856
|-
|-
| |9
| |9
| |C#/Db
| |C#/Db
|D#/Eb
|D#/Eb
|Db
|Eb
|908.145-926.145
|908.145-926.145
|910.319-928.319
|910.319-928.319
|918.168-936.168
|918.168-936.168
|929.507
|920.883-938.883
|920.883-938.883
| colspan="2" |''934.615''
|930.822-948.822
|930.822-948.822
|941.5385
|934.309-952.309
|934.309-952.309
|949.4505
|-
|-
| |10
| |10
| |D
| |D
|E
|E
|C#
|D#
|1009.0505-1029.0505
|1009.0505-1029.0505
|1011.465-1031.465
|1011.465-1031.465
|1020.186-1040.186
|1020.186-1040.186
|1031.674
|1023.2035-1043.2035
|1023.2035-1043.2035
| colspan="2" |''1038.4165''
|1034.247-1054.2547
|1034.247-1054.2547
|1046.154
|1038.122-1058.122
|1038.122-1058.122
|1054.945
|-
|-
| |11
| |11
| |D#/Eb
| |D#/Eb
|E#/Fb
|E#/Fb
|Eb
|Fb
|1109.9555-1131.9555
|1109.9555-1131.9555
|1112.61-1134.612
|1112.61-1134.612
|1122.2055-1143.2055
|1122.2055-1143.2055
|1134.842
|1125.524-1147.524
|1125.524-1147.524
| colspan="2" |''1142.308''
|1137.672-1159.672
|1137.672-1159.672
|1150.769
|1141.934-1163.934
|1141.934-1163.934
|1160.44
|-
|-
| |12
| |12
| |E
| |E
|F
|F
|D#
|E#
|1210.861-1234.861
|1210.861-1234.861
|1213.758-1227.758
|1213.758-1227.758
|1224.224-1248.224
|1224.224-1248.224
|1238.009
|1225.844-1249.884
|1225.844-1249.884
| colspan="2" |''1246.154''
|1241.096-1265.096
|1241.096-1265.096
|1255.385
|1245.746-1269.746
|1245.746-1269.746
|1265.935
|-
|-
| |13
| |13
| |F
| |F
|G
|F
|G
|G
|1311.767-1337.767
|1311.767-1337.767
|1314.905-1340.905
|1314.905-1340.905
|1326.243-1352.243
|1326.243-1352.243
|1341.1765
|1343.1645-1396.1645
|1343.1645-1396.1645
| colspan="2" |''1350''
|1344.521-1370.521
|1344.521-1370.521
|1360
|1349.558-1375.558
|1349.558-1375.558
|1371.429
|}
|}


{| class="wikitable"
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="4" |Degrees
! rowspan="3" |Octatonic
! colspan="2" rowspan="3" |Octatonic
! colspan="4" |Aeolian
! colspan="4" |Aeolian
! colspan="4" |Intense Aeolian
! colspan="4" |Intense Aeolian
Line 874: Line 928:
!Min-Med/Min-Max
!Min-Med/Min-Max
!Med-Max
!Med-Max
|-
!Natural
!Subset of 26edn
!
!
!
!
!
!
!
!
|-
|-
| |1
| |1
| |F#/Gb
| |F#/Gb
|F#v/Gb^
|105.256-107.256
|105.256-107.256
| colspan="2" |105.625-108.015
| colspan="2" |105.625-108.015
Line 886: Line 952:
|-
|-
| |2
| |2
| |G
| colspan="2"|G
|210.511-214.511
|210.511-214.511
| colspan="2" |211.25-216.03
| colspan="2" |211.25-216.03
Line 897: Line 963:
| |3
| |3
| |G#/Ab
| |G#/Ab
|G#v/Ab^
|315.767-321.767
|315.767-321.767
| colspan="2" |316.875-324.044
| colspan="2" |316.875-324.044
Line 906: Line 973:
|-
|-
| |4
| |4
| |A
| colspan="2"|A
|421.022-429.022
|421.022-429.022
| colspan="2" |422.501-432.059
| colspan="2" |422.501-432.059
Line 917: Line 984:
| |5
| |5
| |B
| |B
|A#v/Bb^
|526.278-536.278
|526.278-536.278
| colspan="2" |528.126-540.074
| colspan="2" |528.126-540.074
Line 927: Line 995:
| |6
| |6
| |B#/Hb
| |B#/Hb
|B
|631.534-643.534
|631.534-643.534
| colspan="2" |633.751-648.089
| colspan="2" |633.751-648.089
Line 937: Line 1,006:
| |7
| |7
| |H
| |H
|Cb
|736.789-750.789
|736.789-750.789
| colspan="2" |739.376-756.104
| colspan="2" |739.376-756.104
Line 947: Line 1,017:
| |8
| |8
| |C
| |C
|H#
|842.045-858.045
|842.045-858.045
| colspan="2" |845.001-864.1185
| colspan="2" |845.001-864.1185
Line 957: Line 1,028:
| |9
| |9
| |C#/Db
| |C#/Db
|Db
|947.3-965.3
|947.3-965.3
| colspan="2" |950.626-972.133
| colspan="2" |950.626-972.133
Line 967: Line 1,039:
| |10
| |10
| |D
| |D
|C#
|1052.556-1072.556
|1052.556-1072.556
| colspan="2" |1056.2515-1080.148
| colspan="2" |1056.2515-1080.148
Line 977: Line 1,050:
| |11
| |11
| |D#/Eb
| |D#/Eb
|Eb
|1157.8115-1179.8115
|1157.8115-1179.8115
| colspan="2" |1161.877-1188.163
| colspan="2" |1161.877-1188.163
Line 987: Line 1,061:
| |12
| |12
| |E
| |E
|D#
|1264.067-1287.067
|1264.067-1287.067
| colspan="2" |1267.502-1296.178
| colspan="2" |1267.502-1296.178
Line 996: Line 1,071:
|-
|-
| |13
| |13
| |F
| colspan="2"|F
|1368.323-1394.323
|1368.323-1394.323
| colspan="2" |1373.127-1404.193
| colspan="2" |1373.127-1404.193

Revision as of 20:22, 13 July 2020

This scale, a Long Common Practice minor mode, occurs in 12edo; where it is the equal division of the minor ninth. It has the Grandfather 5L 3s MOS with a 2:1 ratio of large against small.

Intervals

Degrees Octatonic Soft Phrygian Phrygian
Minimum-comma Median Maximum+comma Thirdtone Semitone
Minimum-comma Median Maximum+comma~Minimum-comma Median Maximum+comma
Natural Subset of 26edn
1 G#/Ab G#v/Ab^ 89.231-92.308 96.5035 93.626-99.78 97.436-97.582 95.385-101.978 99.692-100 101.5385-104.615
2 A 178.4615-184.615 193.007 187.253-199.56 194.872-195.165 190.769-203.956 199.385-200 203.077-209.231
3 A#/Bb A#v/Bb^ 267.692-276.923 289.5105 280.879-299.341 292.308-292.747 286.154-305.934 299.077-300 304.615-313.846
4 B 356.923-369.231 386.014 374.5055-399.121 389.735-390.33 381.5385-407.912 398.769-400 406.154-418.4615
5 C B#v/Cb^ 446.154-461.5385 482.5175 468.132-498.901 487.1795-487.912 476.923-509.89 498.4615-500 507.692-523.077
6 C#/Qb C 535.385-553.846 579.021 561.758-598.681 584.615-585.4945 572.308-611.868 598.154-600 609.231-627.692
7 Q Db 624.615-646.154 675.5245 655.385-698.4615 682.051-683.077 667.692-713.846 697.846-700 710.769-732.308
8 D Q# 713.846-738.4615 772.0228 749.011-798.242 779.487-780.659 763.077-815.824 797.5385-800 812.308-836.932
9 D#/Eb Eb 802.077-830.769 868.5315 842.637-898.022 876.923-878.242 858.4615-917.802 897.231-900 913.846-941.5385
10 E D# 892.308-923.077 965.035 936.264-997.802 974.359-975.824 953.846-1019.78 996.923-1000 1015.385-1046.154
11 E#/Fb Fb 981.5385-1015.385 1061.5385 1029.89-1097.582 1071.795-1073.407 1049.231-1121.758 1096.615-1100 1116.923-1150.769
12 F E# 1070.769-1107.692 1158.042 1123.363-1197.363 1169.231-1170.989 1144.615-1223.736 1196.308-1200 1218.4615-1255.385
13 G 1160-1200 1254.5455 1217.143-1297.143 1266.667-1268.571 1240-1325.714 1296-1300 1320-1360
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum-comma Median Maximum+comma~Minimum-comma Median Maximum+comma~Minimum-comma r¢ Median Maximum+comma
Natural Subset of 26edn
1 F#/Gb G#/Ab F#v/Gb^ G#v/Ab^ 98.4615-101.5385 102.024 99.487-105.641 103.167 100.769-106.923 103.846 104.615 105.4945-108.571
2 G A G A 196.923-203.077 204.0485 198.974-211.282 206.335 201.5385-213.846 207.692 209.231 210.989-217.143
3 G#/Ab A#/Bb G#v/Ab^ A#v/Bb^ 295.385-304.615 306.073 298.4615-316.923 309.502 302.308-320.769 311.5385 313.846 316.4835-325.714
4 A B A B 393.846-406.154 408.097 397.949-422.564 412.67 403.077-427.692 415.385 418.4615 421.978-434.286
5 B C A#v/Bb^ B#v/Cb^ 492.308-507.692 510.1215 497.436-528.205 515.837 503.846-534.615 519.231 523.077 527.4725-542.857
6 B#/Hb C#/Qb B C 590.769-609.231 612.146 596.923-633.846 619.0045 604.615-641.5385 623.077 627.692 632.967-651.429
7 H Q Cb Db 689.231-710.769 714.17 696.41-739.487 722.172 705.385-748.465 726.923 732.308 738.4615-760
8 C D H# Q# 787.692-812.308 816.194 795.897-845.128 825.339 806.154-855.385 830.769 836.923 843.856-868.571
9 C#/Db D#/Eb Db Eb 886.154-913.846 918.219 895.385-948.769 929.507 906.923-962.308 934.615 941.5385 949.4505-977.143
10 D E C# D# 984.615-1015.385 1020.243 994.872-1056.41 1031.674 1007.692-1069.231 1038.4615 1046.154 1054.945-1085.714
11 D#/Eb E#/Fb Eb Fb 1083.077-1116.923 1123.267 1094.359-1162.051 1134.842 1108.4615-1176.154 1142.308 1150.769 1160.44-1194.286
12 E F D# E# 1181.5385-1218.4615 1224.291 1193.846-1267.692 1238.009 1209.231-1283.077 1246.154 1255.385 1265.935-1302.857
13 F G F G 1280-1320 1326.316 1293.333-1373.333 1341.1765 1310-1390 1350 1360 1371.429-1411.429
Degrees Octatonic Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum-comma Median Maximum+comma~Minimum-comma Median Maximum+comma~Minimum-comma r¢ Median Maximum+comma~Minimum-comma Median Maximum+comma
Natural Subset of 26edn
1 F#/Gb F#v/Gb^ 102.418-105.4945 106.509 103.806-109.9595 107.077 104.615-110.769 107.692 108.597 106.014-112.168 109.615 110.769-113.846
2 G 204.835-210.989 213.018 207.611-219.919 214.154 209.231-221.5385 215.385 217.1945 212.028-224.336 219.231 221.5385-227.692
3 G#/Ab F#v/Gb^ 307.253-316.4835 319.527 311.417-329.8785 321.231 313.846-332.308 323.077 325.792 318.042-336.5035 328.846 332.308-341.5385
4 A 409.67-421.978 426.036 415.223-439.838 428.308 418.4615-443.077 430.769 434.389 424.056-448.671 438.4615 443.077-455.385
5 B A#v/Bb^ 512.088-527.4725 532.544 519.028-549.798 535.385 523.077-553.846 538.4615 542.986 530.07-560.839 548.077 553.846-569.231
6 B#/Hb B 614.5055-632.967 639.053 622.834-659.757 642.4615 627.692-664.615 646.154 651.584 636.084-673.007 657.692 664.615-683.077
7 H Cb 716.923-738.4615 745.562 726.64-769.717 749.5385 732.308-775.385 754.846 760.181 742.098-785.175 767.308 775.385-796.923
8 C H# 819.341-843.856 853.071 830.445-879.676 856.615 836.923-886.154 861.5385 868.778 848.112-897.343 876.923 886.154-910.769
9 C#/Db Db 921.758-949.4505 958.58 934.251-989.636 963.692 941.5385-996.923 969.231 977.376 954.126-1009.5105 986.5385 996.923-1024.615
10 D C# 1024.176-1054.945 1065.089 1038.057-1099.595 1070.769 1046.154-1107.692 1076.923 1085.973 1060.14-1121.678 1096.154 1107.692-1138.4615
11 D#/Eb Eb 1126.593-1160.44 1171.598 1141.862-1209.555 1177.846 1150.769-1218.4685 1184.615 1194.57 1166.154-1233.846 1205.769 1218.4615-1252.308
12 E D# 1229.011-1265.934 1278.1065 1245.668-1319.514 1284.923 1255.385-1329.231 1292.308 1303.167 1272.168-1346.014 1315.385 1329.231-1366.154
13 F 1331.429-1371.429 1384.615 1349.474-1429.474 1392 1360-1440 1400 1411.765 1378.182-1458.182 1425 1440-1480

Golden/Pyrite Tunings±13¢

Degrees Octatonic Soft Phrygian Phrygian
Min-Med Min-Max/Med-Max Thirdtone Semitone
Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max
Natural Subset of 26edn
1 G#/Ab G#v/Ab^ 95.389-97.389 95.578-97.578 95.957-98.345 96.785-98.844 98.359-100.709 99.058-101.523
2 A 190.778-194.778 191.155-195.155 191.914-196.689 193.569-197.688 196.719-201.417 198.1165-203.046
3 A#/Bb A#v/Bb^ 286.1665-292.1665 286.733-292.733 287.871-295.034 290.354-296.531 295.078-302.126 297.175-304.569
4 B 381.555-389.555 382.3105-390.3105 383.828-393.378 387.138-395.375 393.4375-402.835 396.233-406.092
5 C B#v/Cb^ 476.944-486.944 477.888-487.888 479.785-491.723 483.923-494.219 491.797-503.544 495.291-507.615
6 C#/Qb C 572.333-584.333 573.466-585.466 575.742-590.068 580.707-593.063 590.156-604.253 594.349-609.138
7 Q Db 667.722-681.722 669.043-683.043 671.699-688.412 677.492-691.907 688.516-704.962 693.408-710.661
8 D Q# 763.111-781.111 764.621-780.621 767.656-786.757 774.2765-790.75 786.875-805.67 792.466-812.184
9 D#/Eb Eb 858.5-876.5 860.199-878.199 863.613-885.1015 871.061-889.594 885.234-906.379 891.524-913.707
10 E D# 953.8885-973.8885 955.776-975.776 959.57-983.446 967.846-988.438 983.594-1007.088 990.582-1015.23
11 E#/Fb Fb 1049.277-1071.277 1051.354-1073.354 1055.527-1081.791 1064.63-1087.282 1081.953-1107.797 1089.641-1116.75
12 F E# 1144.666-1168.666 1146.932-1170.932 1151.484-1180.135 1161.415-1186.126 1180.312-1208.506 1188.699-1218.276
13 G 1240.055-1266.055 1242.506-1268.509 1247.441-1278.48 1258.199-1284.969 1278.672-1309.2145 1287.757-1319.799
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max
Natural Subset of 26edn
1 F#/Gb G#/Ab F#v/Gb^ G#v/Ab^ 100.905-102.905 101.1465-103.1465 102.019-104.019 102.32-104.32 103.425-105.425 103.812-105.812
2 G A G A 201.81-205.81 202.293-206.293 204.037-208.037 204.641-208.641 206.849-210.849 207.624-211.624
3 G#/Ab A#/Bb G#v/Ab^ A#v/Bb^ 302.715-308.715 303.44-309.44 306.056-312.056 306.961-312.961 310.274-316.274 311.4365-317.4365
4 A B A B 403.62-411.62 404.586-412.586 408.075-416.075 409.281-417.281 413.699-421.699 415.249-423.249
5 B C A#v/Bb^ B#v/Cb^ 504.525-514.525 505.733-515.733 510.093-520.093 511.602-521.602 517.123-527.123 519.061-529.061
6 B#/Hb C#/Qb B C 605.43-617.43 606.879-618.879 612.112-624.112 613.922-625.922 620.548-632.548 622.873-634.873
7 H Q Cb Db 706.335-720.335 708.026-722.026 714.131-728.131 716.242-730.242 723.973-737.973 726.685-740.685
8 C D H# Q# 807.24-823.24 809.172-825.172 816.1495-832.1495 818.563-834.563 827.3975-843.3975 830.497-846.497
9 C#/Db D#/Eb Db Eb 908.145-926.145 910.319-928.319 918.168-936.168 920.883-938.883 930.822-948.822 934.309-952.309
10 D E C# D# 1009.0505-1029.0505 1011.465-1031.465 1020.186-1040.186 1023.2035-1043.2035 1034.247-1054.2547 1038.122-1058.122
11 D#/Eb E#/Fb Eb Fb 1109.9555-1131.9555 1112.61-1134.612 1122.2055-1143.2055 1125.524-1147.524 1137.672-1159.672 1141.934-1163.934
12 E F D# E# 1210.861-1234.861 1213.758-1227.758 1224.224-1248.224 1225.844-1249.884 1241.096-1265.096 1245.746-1269.746
13 F G F G 1311.767-1337.767 1314.905-1340.905 1326.243-1352.243 1343.1645-1396.1645 1344.521-1370.521 1349.558-1375.558
Degrees Octatonic Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Min-Med Med-Max~Min-Max Min-Med/Min-Max Med-Max Min-Med Min-Max/Med-Max Min-Med/Min-Max Med-Max
Natural Subset of 26edn
1 F#/Gb F#v/Gb^ 105.256-107.256 105.625-108.015 106.156-108.156 107.435-109.435 107.738-109.738 108.459-110.459 108.802-110.802
2 G 210.511-214.511 211.25-216.03 212.313-216.313 214.8705-218.8705 215.4765-219.4765 216.918-220.918 217.604-221.604
3 G#/Ab G#v/Ab^ 315.767-321.767 316.875-324.044 318.469-324.469 321.306-329.306 322.215-330.215 325.377-331.377 326.4065-332.4065
4 A 421.022-429.022 422.501-432.059 424.626-432.626 429.741-437.741 430.953-438.953 433.836-437.836 435.209-443.209
5 B A#v/Bb^ 526.278-536.278 528.126-540.074 530.782-540.782 547.176-547.176 538.6915-548.6915 542.295-552.295 544.011-554.011
6 B#/Hb B 631.534-643.534 633.751-648.089 636.9385-648.9385 644.611-656.611 646.43-658.43 650.754-666.754 652.813-664.813
7 H Cb 736.789-750.789 739.376-756.104 743.095-757.095 752.047-766.047 754.168-768.168 759.213-773.213 761.615-775.615
8 C H# 842.045-858.045 845.001-864.1185 849.251-865.521 859.482-875.482 861.906-877.906 867.672-883.672 870.417-886.417
9 C#/Db Db 947.3-965.3 950.626-972.133 958.408-976.408 966.917-984.917 969.645-986.645 976.131-994.131 979.219-997.219
10 D C# 1052.556-1072.556 1056.2515-1080.148 1061.564-1081.564 1074.352-1094.352 1077.383-1077.383 1084.59-1104.59 1088.022-1108.022
11 D#/Eb Eb 1157.8115-1179.8115 1161.877-1188.163 1167.7205-1189.7205 1181.7875-1203.7875 1185.121-1207.121 1193.049-1215.049 1196.824-1218.824
12 E D# 1264.067-1287.067 1267.502-1296.178 1273.877-1298.877 1288.223-1312.223 1292.86-1316.86 1301.508-1325.508 1304.626-1328-626
13 F 1368.323-1394.323 1373.127-1404.193 1380.033-1406.033 1396.658-1422.658 1400.598-1426.598 1409.967-1435.967 1414.428-1440.428
Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/13edIX&oldid=47671"