User:Moremajorthanmajor/13edIX: Difference between revisions

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Line 5: Line 5:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! rowspan="2" |Octatonic
! colspan="3" |Soft Phrygian  
! colspan="5" |Soft Phrygian  
! colspan="4" |Phrygian  
! colspan="7" |Phrygian  
|-
|-
!Minimum
!Minimum
!Min-Med±13¢
!Median
!Median
!Min-Max/Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med±13¢
!Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!15/7±13¢
!15/7±13¢
!Maximum
!Maximum
Line 19: Line 24:
| |G#/Ab
| |G#/Ab
|92.308
|92.308
|95.389-97.389
|96.5035
|96.5035
|95.578-97.578
| colspan="2" |96.703
| colspan="2" |96.703
|96.7665-98.7665
|97.176-99.176
|98.263
|98.263
|98.359-100.359
|100.496-102.496
|100.496-102.496
|101.5385
|101.5385
Line 28: Line 38:
| |A
| |A
|184.615
|184.615
|190.778-194.778
|193.007
|193.007
|191.155-195.155
| colspan="2" |193.407
| colspan="2" |193.407
|193.533-197.533
|194.352-198.352
|196.526
|196.526
|196.719-200.719
|200.991-204.912
|200.991-204.912
|203.077
|203.077
Line 37: Line 52:
| |A#/Bb
| |A#/Bb
|276.923
|276.923
|286.1665-292.1665
|289.5105
|289.5105
|286.733-292.733
| colspan="2" |290.11
| colspan="2" |290.11
|290.2995-296.2995
|291.528-297.528
|294.789
|294.789
|295.078-301.078
|301.487-307.487
|301.487-307.487
|304.615
|304.615
Line 46: Line 66:
| |B
| |B
|369.231
|369.231
|381.555-389.555
|386.014
|386.014
|382.3105-390.3105
| colspan="2" |386.813
| colspan="2" |386.813
|387.063-395.063
|388.705-396.705
|393.052
|393.052
|393.4375-401.4375
|401.982-409.982
|401.982-409.982
|406.154
|406.154
Line 55: Line 80:
| |C
| |C
|461.5385
|461.5385
|476.944-486.944
|482.5175
|482.5175
|477.888-487.888
| colspan="2" |483.5165
| colspan="2" |483.5165
|483.833-493.833
|485.881-495.881
|491.315
|491.315
|491.797-501.797
|502.478-512.478
|502.478-512.478
|507.692
|507.692
Line 64: Line 94:
| |C#/Qb
| |C#/Qb
|553.846
|553.846
|572.333-584.333
|579.021
|579.021
|573.466-585.466
| colspan="2" |580.22
| colspan="2" |580.22
|580.299-592.299
|583.057-595.057
|589.578
|589.578
|590.156-602.156
|602.974-614.974
|602.974-614.974
|609.231
|609.231
Line 73: Line 108:
| |Q
| |Q
|646.154
|646.154
|667.722-681.722
|675.5245
|675.5245
|669.043-683.043
| colspan="2" |676.923
| colspan="2" |676.923
|677.366-691.366
|680.233-694.233
|687.841
|687.841
|688.516-702.516
|703.469-717.469
|703.469-717.469
|710.769
|710.769
Line 82: Line 122:
| |D
| |D
|738.4615
|738.4615
|763.111-781.111
|772.0228
|772.0228
|764.621-780.621
| colspan="2" |773.626
| colspan="2" |773.626
|774.132-790.132
|777.409-793.409
|786.104
|786.104
|786.875-802.875
|803.965-819.965
|803.965-819.965
|812.308
|812.308
Line 91: Line 136:
| |D#/Eb
| |D#/Eb
|830.769
|830.769
|858.5-876.5
|868.5315
|868.5315
|860.199-878.199
| colspan="2" |870.33
| colspan="2" |870.33
|870.899-888.899
|874.585-892.585
|884.367
|884.367
|885.234-903.234
|904.46-922.46
|904.46-922.46
|913.846
|913.846
Line 100: Line 150:
| |E
| |E
|923.077
|923.077
|953.8885-973.8885
|965.035
|965.035
|955.776-975.776
| colspan="2" |967.033
| colspan="2" |967.033
|967.665-987.665
|971.761-991.761
|982.63
|982.63
|983.594-1003.594
|1004.956-1024.956
|1004.956-1024.956
|1015.385
|1015.385
Line 109: Line 164:
| |E#/Fb
| |E#/Fb
|1015.385
|1015.385
|1049.277-1071.277
|1061.5385
|1061.5385
|1051.354-1073.354
| colspan="2" |1063.736
| colspan="2" |1063.736
|1064.432-1086.432
|1068.9375-1090.9375
|1080.893
|1080.893
|1081.953-1103.953
|1105.452-1127.452
|1105.452-1127.452
|1116.923
|1116.923
Line 118: Line 178:
| |F
| |F
|1107.692
|1107.692
|1144.666-1168.666
|1158.042
|1158.042
|1146.932-1170.932
| colspan="2" |1160.4395
| colspan="2" |1160.4395
|1161.198-1185.198
|1166.114-1190.114
|1179.156
|1179.156
|1180.312-1204.312
|1205.947-1299.947
|1205.947-1299.947
|1218.4615
|1218.4615
Line 127: Line 192:
| |G
| |G
|1200
|1200
|1240.055-1266.055
|1254.5455
|1254.5455
|1242.506-1268.509
| colspan="2" |1257.143
| colspan="2" |1257.143
|1257.965-1283.965
|1263.29-1289.29
|1277.419
|1277.419
|1278.672-1304.672
|1306.443-1332.443
|1306.443-1332.443
|1320
|1320
Line 138: Line 208:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="2" rowspan="2" |Octatonic
! colspan="3" |Intense Phrygian
! colspan="5" |Intense Phrygian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="4" |Soft Aeolian
! colspan="6" |Soft Aeolian
|-
|-
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!11/5±13¢
!11/5±13¢
!Maximum
!Maximum
Line 157: Line 233:
|G#/Ab
|G#/Ab
|101.5385
|101.5385
|100.905-102.905
|102.024
|102.024
|101.1465-103.1465
| colspan="2" |102.564
| colspan="2" |102.564
|102.019-104.019
|103.167
|103.167
|102.32-104.32
| colspan="2" |103.846
| colspan="2" |103.846
|103.425-105.425
|104.615
|104.615
|103.812-105.812
|104-106
|104-106
|105.4945
|105.4945
Line 169: Line 251:
|A
|A
|203.077
|203.077
|201.81-205.81
|204.0485
|204.0485
|202.293-206.293
| colspan="2" |205.128
| colspan="2" |205.128
|204.037-208.037
|206.335
|206.335
|204.641-208.641
| colspan="2" |207.692
| colspan="2" |207.692
|206.849-210.849
|209.231
|209.231
|207.624-211.624
|208.001-212.001
|208.001-212.001
|210.989
|210.989
Line 181: Line 269:
|A#/Bb
|A#/Bb
|304.615
|304.615
|302.715-308.715
|306.073
|306.073
|303.44-309.44
| colspan="2" |307.692
| colspan="2" |307.692
|306.056-312.056
|309.502
|309.502
|306.961-312.961
| colspan="2" |311.5385
| colspan="2" |311.5385
|310.274-316.274
|313.846
|313.846
|311.4365-317.4365
|312.001-318.001
|312.001-318.001
|316.4835
|316.4835
Line 193: Line 287:
|B
|B
|406.154
|406.154
|403.62-411.62
|408.097
|408.097
|404.586-412.586
| colspan="2" |410.256
| colspan="2" |410.256
|408.075-416.075
|412.67
|412.67
|409.281-417.281
| colspan="2" |415.385
| colspan="2" |415.385
|413.699-421.699
|418.4615
|418.4615
|415.249-423.249
|416.001-424.001
|416.001-424.001
|421.978
|421.978
Line 205: Line 305:
|C
|C
|507.692
|507.692
|504.525-514.525
|510.1215
|510.1215
|505.733-515.733
| colspan="2" |512.8205
| colspan="2" |512.8205
|510.093-520.093
|515.837
|515.837
|511.602-521.602
| colspan="2" |519.231
| colspan="2" |519.231
|517.123-527.123
|523.077
|523.077
|519.061-529.061
|520.002-530.002
|520.002-530.002
|527.4725
|527.4725
Line 217: Line 323:
|C#/Qb
|C#/Qb
|609.231
|609.231
|605.43-617.43
|612.146
|612.146
|606.879-618.879
| colspan="2" |615.384
| colspan="2" |615.384
|612.112-624.112
|619.0045
|619.0045
|613.922-625.922
| colspan="2" |623.077
| colspan="2" |623.077
|620.548-632.548
|627.692
|627.692
|622.873-634.873
|624.002-636.002
|624.002-636.002
|632.967
|632.967
Line 229: Line 341:
|Q
|Q
|710.769
|710.769
|706.335-720.335
|714.17
|714.17
|708.026-722.026
| colspan="2" |717.945
| colspan="2" |717.945
|714.131-728.131
|722.172
|722.172
|716.242-730.242
| colspan="2" |736.923
| colspan="2" |736.923
|723.973-737.973
|732.308
|732.308
|726.685-740.685
|728.002-742.0022
|728.002-742.0022
|738.4615
|738.4615
Line 241: Line 359:
|D
|D
|812.308
|812.308
|807.24-823.24
|816.194
|816.194
|809.172-825.172
| colspan="2" |820.513
| colspan="2" |820.513
|816.1495-832.1495
|825.339
|825.339
|818.563-834.563
| colspan="2" |830.769
| colspan="2" |830.769
|827.3975-843.3975
|836.923
|836.923
|830.497-846.497
|832.003-848.002
|832.003-848.002
|843.856
|843.856
Line 253: Line 377:
|D#/Eb
|D#/Eb
|913.846
|913.846
|908.145-926.145
|918.219
|918.219
|910.319-928.319
| colspan="2" |923.077
| colspan="2" |923.077
|918.168-936.168
|929.507
|929.507
|920.883-938.883
| colspan="2" |934.615
| colspan="2" |934.615
|930.822-948.822
|941.5385
|941.5385
|934.309-952.309
|936.003-924.003
|936.003-924.003
|949.4505
|949.4505
Line 265: Line 395:
|E
|E
|1015.385
|1015.385
|1009.0505-1029.0505
|1020.243
|1020.243
|1011.465-1031.465
| colspan="2" |1025.641
| colspan="2" |1025.641
|1020.186-1040.186
|1031.674
|1031.674
|1023.2035-1043.2035
| colspan="2" |1038.4165
| colspan="2" |1038.4165
|1034.247-1054.2547
|1046.154
|1046.154
|1038.122-1058.122
|1040.003-1060.003
|1040.003-1060.003
|1054.945
|1054.945
Line 277: Line 413:
|E#/Fb
|E#/Fb
|1116.923
|1116.923
|1109.9555-1131.9555
|1123.267
|1123.267
|1112.61-1134.612
| colspan="2" |1128.205
| colspan="2" |1128.205
|1122.2055-1143.2055
|1134.842
|1134.842
|1125.524-1147.524
| colspan="2" |1142.308
| colspan="2" |1142.308
|1137.672-1159.672
|1150.769
|1150.769
|1141.934-1163.934
|1144.004-1166.004
|1144.004-1166.004
|1160.44
|1160.44
Line 289: Line 431:
|F
|F
|1218.4615
|1218.4615
|1210.861-1234.861
|1224.291
|1224.291
|1213.758-1227.758
| colspan="2" |1230.769
| colspan="2" |1230.769
|1224.224-1248.224
|1238.009
|1238.009
|1225.844-1249.884
| colspan="2" |1246.154
| colspan="2" |1246.154
|1241.096-1265.096
|1255.385
|1255.385
|1245.746-1269.746
|1248.004-1272.004
|1248.004-1272.004
|1265.935
|1265.935
Line 301: Line 449:
|G
|G
|1320
|1320
|1311.767-1337.767
|1326.316
|1326.316
|1314.905-1340.905
| colspan="2" |1333.333
| colspan="2" |1333.333
|1326.243-1352.243
|1341.1765
|1341.1765
|1343.1645-1396.1645
| colspan="2" |1350
| colspan="2" |1350
|1344.521-1370.521
|1360
|1360
|1349.558-1375.558
|1352.004-1378.004
|1352.004-1378.004
|1371.429
|1371.429
Line 313: Line 467:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! rowspan="2" |Octatonic
! colspan="3" |Aeolian  
! colspan="5" |Aeolian  
! colspan="4" |Intense Aeolian  
! colspan="6" |Intense Aeolian  
|-
|-
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max-13c
!Maximum
!Maximum
!Minimum
!Minimum
!9/4±13¢
!9/4±13¢
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max-13c
!Maximum
!Maximum
|-
|-
Line 327: Line 485:
| |F#/Gb
| |F#/Gb
|105.4945
|105.4945
|105.256-107.256
|106.509
|106.509
|105.7715-107.7715
| colspan="2" |107.692
| colspan="2" |107.692
|106.993-108.993
|106.993-108.993
|107.738-109.738
|109.091
|109.091
|108.459-110.459
|110.769
|110.769
|-
|-
Line 336: Line 498:
| |G
| |G
|210.989
|210.989
|210.511-214.511
|213.018
|213.018
|211.543-215.543
| colspan="2" |215.385
| colspan="2" |215.385
|213.986-217.986
|213.986-217.986
|215.477-219.477
|218.182
|218.182
|216.918-220.918
|221.5385
|221.5385
|-
|-
Line 345: Line 511:
| |G#/Ab
| |G#/Ab
|316.4835
|316.4835
|315.767-321.767
|319.527
|319.527
|317.315-323.315
| colspan="2" |323.077
| colspan="2" |323.077
|320.979-326.979
|320.979-326.979
|323.215-329.215
|327.273
|327.273
|325.377-331.377
|332.308
|332.308
|-
|-
Line 354: Line 524:
| |A
| |A
|421.978
|421.978
|421.022-429.022
|426.036
|426.036
|423.086-431.086
| colspan="2" |430.769
| colspan="2" |430.769
|427.972-435.972
|427.972-435.972
|430.953-438.953
|436.364
|436.364
|433.836-437.836
|443.076
|443.076
|-
|-
Line 363: Line 537:
| |B
| |B
|527.4725
|527.4725
|526.278-536.278
|532.544
|532.544
|528.858-538.858
| colspan="2" |538.4615
| colspan="2" |538.4615
|534.965-544.965
|534.965-544.965
|538.6915-548.6915
|545.4545
|545.4545
|542.295-552.295
|553.846
|553.846
|-
|-
Line 372: Line 550:
| |B#/Hb
| |B#/Hb
|632.967
|632.967
|631.534-643.534
|639.053
|639.053
|634.629-646.629
| colspan="2" |646.154
| colspan="2" |646.154
|641.9585-653.9585
|641.9585-653.9585
|646.43-658.43
|654.5455
|654.5455
|650.754-666.754
|664.615
|664.615
|-
|-
Line 381: Line 563:
| |H
| |H
|738.4615
|738.4615
|736.789-750.789
|745.562
|745.562
|740.401-754.401
| colspan="2" |754.846
| colspan="2" |754.846
|748.9515-762.9515
|748.9515-762.9515
|754.168-768.168
|763.636
|763.636
|759.213-773.213
|775.385
|775.385
|-
|-
Line 390: Line 576:
| |C
| |C
|843.856
|843.856
|842.045-858.045
|853.071
|853.071
|846.172-862.172
| colspan="2" |861.5385
| colspan="2" |861.5385
|855.945-871.945
|855.945-871.945
|861.906-877.906
|872.727
|872.727
|867.672-883.672
|886.154
|886.154
|-
|-
Line 399: Line 589:
| |C#/Db
| |C#/Db
|949.4505
|949.4505
|947.3-965.3
|958.58
|958.58
|951.944-969.944
| colspan="2" |969.231
| colspan="2" |969.231
|962.938-980.938
|962.938-980.938
|969.645-986.645
|981.818
|981.818
|976.131-994.131
|996.923
|996.923
|-
|-
Line 408: Line 602:
| |D
| |D
|1054.945
|1054.945
|1052.556-1072.556
|1065.089
|1065.089
|1057.715-1077.715
| colspan="2" |1076.923
| colspan="2" |1076.923
|1069.931-1089.931
|1069.931-1089.931
|1077.383-1077.383
|1090.909
|1090.909
|1084.59-1104.59
|1107.692
|1107.692
|-
|-
Line 417: Line 615:
| |D#/Eb
| |D#/Eb
|1160.44
|1160.44
|1157.8115-1179.8115
|1171.598
|1171.598
|1163.487-1187.487
| colspan="2" |1184.615
| colspan="2" |1184.615
|1177-924-1199.924
|1177-924-1199.924
|1185.121-1207.121
|1200
|1200
|1193.049-1215.049
|1218.4615
|1218.4615
|-
|-
Line 426: Line 628:
| |E
| |E
|1265.9344
|1265.9344
|1264.067-1287.067
|1278.1065
|1278.1065
|1269.258-1293.258
| colspan="2" |1292.308
| colspan="2" |1292.308
|1283.917-1307.917
|1283.917-1307.917
|1292.86-1316.86
|1309.094
|1309.094
|1301.508-1325.508
|1329.231
|1329.231
|-
|-
Line 435: Line 641:
| |F
| |F
|1371.429
|1371.429
|1368.322-1394.322
|1384.615
|1384.615
|1375.03-1401.03
| colspan="2" |1400
| colspan="2" |1400
|1390.91-1416.91
|1390.91-1416.91
|1400.598-1426.598
|1418.182
|1418.182
|1409.967-1435.967
|1440
|1440
|}
Golden Tunings
Phrygian Mode (Neapolitan minor/"major")
{| class="wikitable"
|-
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! colspan="2" |Soft Phrygian
! colspan="3" |Phrygian
|-
!Min-Med±13¢
!Min-Max/Med-Max±13¢
!Min-Med±13¢
!Min-Max±13¢
!Med-Max±13¢
|-
| |1
| |G#/Ab
|95.389-97.389
|95.578-97.578
|96.7665-98.7665
|97.176-99.176
|98.359-100.359
|-
| |2
| |A
|190.778-194.778
|191.155-195.155
|193.533-197.533
|194.352-198.352
|196.719-200.719
|-
| |3
| |A#/Bb
|286.1665-292.1665
|286.733-292.733
|290.2995-296.2995
|291.528-297.528
|295.078-301.078
|-
| |4
| |B
|381.555-389.555
|382.3105-390.3105
|387.063-395.063
|388.705-396.705
|393.4375-401.4375
|-
| |5
| |C
|476.944-486.944
|477.888-487.888
|483.833-493.833
|485.881-495.881
|491.797-501.797
|-
| |6
| |C#/Qb
|572.333-584.333
|573.466-585.466
|580.299-592.299
|583.057-595.057
|590.156-602.156
|-
| |7
| |Q
|667.722-681.722
|669.043-683.043
|677.366-691.366
|680.233-694.233
|688.516-702.516
|-
| |8
| |D
|763.111-781.111
|764.621-780.621
|774.132-790.132
|777.409-793.409
|786.875-802.875
|-
| |9
| |D#/Eb
|858.5-876.5
|860.199-878.199
|870.899-888.899
|874.585-892.585
|885.234-903.234
|-
| |10
| |E
|953.8885-973.8885
|955.776-975.776
|967.665-987.665
|971.761-991.761
|983.594-1003.594
|-
| |11
| |E#/Fb
|1049.277-1071.277
|1051.354-1073.354
|1064.432-1086.432
|1068.9375-1090.9375
|1081.953-1103.953
|-
| |12
| |F
|1144.666-1168.666
|1146.932-1170.932
|1161.198-1185.198
|1166.114-1190.114
|1180.312-1204.312
|-
| |13
| |G
|1240.055-1266.055
|1242.506-1268.509
|1257.965-1283.965
|1263.29-1289.29
|1278.672-1304.672
|}
Phrygian-Aeolian Mode (intermediate minor)
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="2" |Intense Phrygian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="2" |Soft Aeolian
|-
!Min-Med/Min-Max±13¢
!Med-Max±13¢
!Min-Med/Min-Max±13¢
!Med-Max±13¢
!Min-Med/Min-Max±13¢
!Med-Max±13¢
|-
| |1
| |F#/Gb
|G#/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
|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
|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
|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
|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
|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
|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
|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
|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
|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
|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
|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
|1311.767-1337.767
|1314.905-1340.905
|1326.243-1352.243
|1343.1645-1396.1645
|1344.521-1370.521
|1349.558-1375.558
|}
Aeolian Mode (natural/harmonic minor)
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! colspan="2" |Aeolian
! colspan="2" |Intense Aeolian
|-
!Min-Med/Min-Max±13¢
!Med-Max-13c
!Min-Med/Min-Max±13¢
!Med-Max-13c
|-
| |1
| |F#/Gb
|105.256-107.256
|105.7715-107.7715
|107.738-109.738
|108.459-110.459
|-
| |2
| |G
|210.511-214.511
|211.543-215.543
|215.477-219.477
|216.918-220.918
|-
| |3
| |G#/Ab
|315.767-321.767
|317.315-323.315
|323.215-329.215
|325.377-331.377
|-
| |4
| |A
|421.022-429.022
|423.086-431.086
|430.953-438.953
|433.836-437.836
|-
| |5
| |B
|526.278-536.278
|528.858-538.858
|538.6915-548.6915
|542.295-552.295
|-
| |6
| |B#/Hb
|631.534-643.534
|634.629-646.629
|646.43-658.43
|650.754-666.754
|-
| |7
| |H
|736.789-750.789
|740.401-754.401
|754.168-768.168
|759.213-773.213
|-
| |8
| |C
|842.045-858.045
|846.172-862.172
|861.906-877.906
|867.672-883.672
|-
| |9
| |C#/Db
|947.3-965.3
|951.944-969.944
|969.645-986.645
|976.131-994.131
|-
| |10
| |D
|1052.556-1072.556
|1057.715-1077.715
|1077.383-1077.383
|1084.59-1104.59
|-
| |11
| |D#/Eb
|1157.8115-1179.8115
|1163.487-1187.487
|1185.121-1207.121
|1193.049-1215.049
|-
| |12
| |E
|1264.067-1287.067
|1269.258-1293.258
|1292.86-1316.86
|1301.508-1325.508
|-
| |13
| |F
|1368.322-1394.322
|1375.03-1401.03
|1400.598-1426.598
|1409.967-1435.967
|}
|}
[[Category:13-tone]]
[[Category:13-tone]]

Revision as of 22:48, 19 December 2018

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 Min-Med±13¢ Median Min-Max/Med-Max±13¢ Maximum Minimum Min-Med±13¢ Min-Max±13¢ Median Med-Max±13¢ 15/7±13¢ Maximum
1 G#/Ab 92.308 95.389-97.389 96.5035 95.578-97.578 96.703 96.7665-98.7665 97.176-99.176 98.263 98.359-100.359 100.496-102.496 101.5385
2 A 184.615 190.778-194.778 193.007 191.155-195.155 193.407 193.533-197.533 194.352-198.352 196.526 196.719-200.719 200.991-204.912 203.077
3 A#/Bb 276.923 286.1665-292.1665 289.5105 286.733-292.733 290.11 290.2995-296.2995 291.528-297.528 294.789 295.078-301.078 301.487-307.487 304.615
4 B 369.231 381.555-389.555 386.014 382.3105-390.3105 386.813 387.063-395.063 388.705-396.705 393.052 393.4375-401.4375 401.982-409.982 406.154
5 C 461.5385 476.944-486.944 482.5175 477.888-487.888 483.5165 483.833-493.833 485.881-495.881 491.315 491.797-501.797 502.478-512.478 507.692
6 C#/Qb 553.846 572.333-584.333 579.021 573.466-585.466 580.22 580.299-592.299 583.057-595.057 589.578 590.156-602.156 602.974-614.974 609.231
7 Q 646.154 667.722-681.722 675.5245 669.043-683.043 676.923 677.366-691.366 680.233-694.233 687.841 688.516-702.516 703.469-717.469 710.769
8 D 738.4615 763.111-781.111 772.0228 764.621-780.621 773.626 774.132-790.132 777.409-793.409 786.104 786.875-802.875 803.965-819.965 812.308
9 D#/Eb 830.769 858.5-876.5 868.5315 860.199-878.199 870.33 870.899-888.899 874.585-892.585 884.367 885.234-903.234 904.46-922.46 913.846
10 E 923.077 953.8885-973.8885 965.035 955.776-975.776 967.033 967.665-987.665 971.761-991.761 982.63 983.594-1003.594 1004.956-1024.956 1015.385
11 E#/Fb 1015.385 1049.277-1071.277 1061.5385 1051.354-1073.354 1063.736 1064.432-1086.432 1068.9375-1090.9375 1080.893 1081.953-1103.953 1105.452-1127.452 1116.923
12 F 1107.692 1144.666-1168.666 1158.042 1146.932-1170.932 1160.4395 1161.198-1185.198 1166.114-1190.114 1179.156 1180.312-1204.312 1205.947-1299.947 1218.4615
13 G 1200 1240.055-1266.055 1254.5455 1242.506-1268.509 1257.143 1257.965-1283.965 1263.29-1289.29 1277.419 1278.672-1304.672 1306.443-1332.443 1320
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ 11/5±13¢ Maximum
1 F#/Gb G#/Ab 101.5385 100.905-102.905 102.024 101.1465-103.1465 102.564 102.019-104.019 103.167 102.32-104.32 103.846 103.425-105.425 104.615 103.812-105.812 104-106 105.4945
2 G A 203.077 201.81-205.81 204.0485 202.293-206.293 205.128 204.037-208.037 206.335 204.641-208.641 207.692 206.849-210.849 209.231 207.624-211.624 208.001-212.001 210.989
3 G#/Ab A#/Bb 304.615 302.715-308.715 306.073 303.44-309.44 307.692 306.056-312.056 309.502 306.961-312.961 311.5385 310.274-316.274 313.846 311.4365-317.4365 312.001-318.001 316.4835
4 A B 406.154 403.62-411.62 408.097 404.586-412.586 410.256 408.075-416.075 412.67 409.281-417.281 415.385 413.699-421.699 418.4615 415.249-423.249 416.001-424.001 421.978
5 B C 507.692 504.525-514.525 510.1215 505.733-515.733 512.8205 510.093-520.093 515.837 511.602-521.602 519.231 517.123-527.123 523.077 519.061-529.061 520.002-530.002 527.4725
6 B#/Hb C#/Qb 609.231 605.43-617.43 612.146 606.879-618.879 615.384 612.112-624.112 619.0045 613.922-625.922 623.077 620.548-632.548 627.692 622.873-634.873 624.002-636.002 632.967
7 H Q 710.769 706.335-720.335 714.17 708.026-722.026 717.945 714.131-728.131 722.172 716.242-730.242 736.923 723.973-737.973 732.308 726.685-740.685 728.002-742.0022 738.4615
8 C D 812.308 807.24-823.24 816.194 809.172-825.172 820.513 816.1495-832.1495 825.339 818.563-834.563 830.769 827.3975-843.3975 836.923 830.497-846.497 832.003-848.002 843.856
9 C#/Db D#/Eb 913.846 908.145-926.145 918.219 910.319-928.319 923.077 918.168-936.168 929.507 920.883-938.883 934.615 930.822-948.822 941.5385 934.309-952.309 936.003-924.003 949.4505
10 D E 1015.385 1009.0505-1029.0505 1020.243 1011.465-1031.465 1025.641 1020.186-1040.186 1031.674 1023.2035-1043.2035 1038.4165 1034.247-1054.2547 1046.154 1038.122-1058.122 1040.003-1060.003 1054.945
11 D#/Eb E#/Fb 1116.923 1109.9555-1131.9555 1123.267 1112.61-1134.612 1128.205 1122.2055-1143.2055 1134.842 1125.524-1147.524 1142.308 1137.672-1159.672 1150.769 1141.934-1163.934 1144.004-1166.004 1160.44
12 E F 1218.4615 1210.861-1234.861 1224.291 1213.758-1227.758 1230.769 1224.224-1248.224 1238.009 1225.844-1249.884 1246.154 1241.096-1265.096 1255.385 1245.746-1269.746 1248.004-1272.004 1265.935
13 F G 1320 1311.767-1337.767 1326.316 1314.905-1340.905 1333.333 1326.243-1352.243 1341.1765 1343.1645-1396.1645 1350 1344.521-1370.521 1360 1349.558-1375.558 1352.004-1378.004 1371.429
Degrees Octatonic Aeolian Intense Aeolian
Minimum Min-Med/Min-Max±13¢ Median Med-Max-13c Maximum Minimum 9/4±13¢ Min-Med/Min-Max±13¢ Median Med-Max-13c Maximum
1 F#/Gb 105.4945 105.256-107.256 106.509 105.7715-107.7715 107.692 106.993-108.993 107.738-109.738 109.091 108.459-110.459 110.769
2 G 210.989 210.511-214.511 213.018 211.543-215.543 215.385 213.986-217.986 215.477-219.477 218.182 216.918-220.918 221.5385
3 G#/Ab 316.4835 315.767-321.767 319.527 317.315-323.315 323.077 320.979-326.979 323.215-329.215 327.273 325.377-331.377 332.308
4 A 421.978 421.022-429.022 426.036 423.086-431.086 430.769 427.972-435.972 430.953-438.953 436.364 433.836-437.836 443.076
5 B 527.4725 526.278-536.278 532.544 528.858-538.858 538.4615 534.965-544.965 538.6915-548.6915 545.4545 542.295-552.295 553.846
6 B#/Hb 632.967 631.534-643.534 639.053 634.629-646.629 646.154 641.9585-653.9585 646.43-658.43 654.5455 650.754-666.754 664.615
7 H 738.4615 736.789-750.789 745.562 740.401-754.401 754.846 748.9515-762.9515 754.168-768.168 763.636 759.213-773.213 775.385
8 C 843.856 842.045-858.045 853.071 846.172-862.172 861.5385 855.945-871.945 861.906-877.906 872.727 867.672-883.672 886.154
9 C#/Db 949.4505 947.3-965.3 958.58 951.944-969.944 969.231 962.938-980.938 969.645-986.645 981.818 976.131-994.131 996.923
10 D 1054.945 1052.556-1072.556 1065.089 1057.715-1077.715 1076.923 1069.931-1089.931 1077.383-1077.383 1090.909 1084.59-1104.59 1107.692
11 D#/Eb 1160.44 1157.8115-1179.8115 1171.598 1163.487-1187.487 1184.615 1177-924-1199.924 1185.121-1207.121 1200 1193.049-1215.049 1218.4615
12 E 1265.9344 1264.067-1287.067 1278.1065 1269.258-1293.258 1292.308 1283.917-1307.917 1292.86-1316.86 1309.094 1301.508-1325.508 1329.231
13 F 1371.429 1368.322-1394.322 1384.615 1375.03-1401.03 1400 1390.91-1416.91 1400.598-1426.598 1418.182 1409.967-1435.967 1440
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