User:Moremajorthanmajor/13edIX: Difference between revisions

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Line 5: Line 5:
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! rowspan="3" |Octatonic
! colspan="5" |Soft Phrygian  
! colspan="3" |Soft Phrygian  
! colspan="11" |Phrygian  
! colspan="6" |Phrygian  
|-
|-
! rowspan="2" |Minimum
! rowspan="2" |Minimum
! rowspan="2" |Min-Med±13¢
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2" |Min-Max/Med-Max±13¢
! rowspan="2" |Maximum
! rowspan="2" |Maximum
! colspan="5" |Thirdtone
! colspan="3" |Thirdtone
! colspan="6" |Semitone
! colspan="3" |Semitone
|-
|-
!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¢
!15/7±13¢
!Maximum
!Maximum
|-
|-
Line 31: 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
|95.957-98.345
|97.436-97.582
|97.436-97.582
|96.785-98.844
| colspan="2" |98.4615-98.901
| colspan="2" |98.4615-98.901
|98.359-100.709
|99.692-''100''
|99.692-''100''
|99.058-101.523
|100.496-102.496
|101.5385
|101.5385
|-
|-
Line 48: Line 34:
| |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
|191.914-196.689
|194.872-195.165
|194.872-195.165
|193.569-197.688
| colspan="2" |196.923-197.805
| colspan="2" |196.923-197.805
|196.719-201.417
|199.385-''200''
|199.385-''200''
|198.1165-203.046
|200.991-204.912
|203.077
|203.077
|-
|-
Line 65: Line 44:
| |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
|287.871-295.034
|292.308-292.747
|292.308-292.747
|290.354-296.531
| colspan="2" |295.385-296.703
| colspan="2" |295.385-296.703
|295.078-302.126
|299.077-''300''
|299.077-''300''
|297.175-304.569
|301.487-307.487
|304.615
|304.615
|-
|-
Line 82: Line 54:
| |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
|383.828-393.378
|389.735-390.33
|389.735-390.33
|387.138-395.375
| colspan="2" |393.846-395.604
| colspan="2" |393.846-395.604
|393.4375-402.835
|398.769-''400''
|398.769-''400''
|396.233-406.092
|401.982-409.982
|406.154
|406.154
|-
|-
Line 99: Line 64:
| |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
|479.785-491.723
|487.1795-487.912
|487.1795-487.912
|483.923-494.219
| colspan="2" |492.308-494.5055
| colspan="2" |492.308-494.5055
|491.797-503.544
|498.4615-''500''
|498.4615-''500''
|495.291-507.615
|502.478-512.478
|507.692
|507.692
|-
|-
Line 116: Line 74:
| |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
|575.742-590.068
|584.615-585.4945
|584.615-585.4945
|580.707-593.063
| colspan="2" |590.769-593.407
| colspan="2" |590.769-593.407
|590.156-604.253
|598.154-''600''
|598.154-''600''
|594.349-609.138
|602.974-614.974
|609.231
|609.231
|-
|-
Line 133: Line 84:
| |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
|671.699-688.412
|682.051-683.077
|682.051-683.077
|677.492-691.907
| colspan="2" |689.231-692.308
| colspan="2" |689.231-692.308
|688.516-704.962
|697.846-''700''
|697.846-''700''
|693.408-710.661
|703.469-717.469
|710.769
|710.769
|-
|-
Line 150: Line 94:
| |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
|767.656-786.757
|779.487-780.659
|779.487-780.659
|774.2765-790.75
| colspan="2" |787.692-791.209
| colspan="2" |787.692-791.209
|786.875-805.67
|797.5385-''800''
|797.5385-''800''
|792.466-812.184
|803.965-819.965
|812.308
|812.308
|-
|-
Line 167: Line 104:
| |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
|863.613-885.1015
|876.923-878.242
|876.923-878.242
|871.061-889.594
| colspan="2" |886.154-890.11
| colspan="2" |886.154-890.11
|885.234-906.379
|897.231-''900''
|897.231-''900''
|891.524-913.707
|904.46-922.46
|913.846
|913.846
|-
|-
Line 184: Line 114:
| |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
|959.57-983.446
|974.359-975.824
|974.359-975.824
|967.846-988.438
| colspan="2" |984.615-989.011
| colspan="2" |984.615-989.011
|983.594-1007.088
|996.923-''1000''
|996.923-''1000''
|990.582-1015.23
|1004.956-1024.956
|1015.385
|1015.385
|-
|-
Line 201: Line 124:
| |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
|1055.527-1081.791
|1071.795-1073.407
|1071.795-1073.407
|1064.63-1087.282
| colspan="2" |1083.077-1087.912
| colspan="2" |1083.077-1087.912
|1081.953-1107.797
|1096.615-''1100''
|1096.615-''1100''
|1089.641-1116.75
|1105.452-1127.452
|1116.923
|1116.923
|-
|-
Line 218: Line 134:
| |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
|1151.484-1180.135
|1169.231-1170.989
|1169.231-1170.989
|1161.415-1186.126
| colspan="2" |1081.5385-1186.813
| colspan="2" |1081.5385-1186.813
|1180.312-1208.506
|1196.308-''1200''
|1196.308-''1200''
|1188.699-1218.276
|1205.947-1299.947
|1218.4615
|1218.4615
|-
|-
Line 235: Line 144:
| |G
| |G
|''1200''
|''1200''
|1240.055-1266.055
|1254.5455
|1254.5455
|1242.506-1268.509
| colspan="2" |1257.143
| colspan="2" |1257.143
|1247.441-1278.48
|1266.667-1268.571
|1266.667-1268.571
|1258.199-1284.969
| colspan="2" |1280-1285.714
| colspan="2" |1280-1285.714
|1278.672-1309.2145
|1296-''1300''
|1296-''1300''
|1287.757-1319.799
|1306.443-1332.443
|1320
|1320
|}
|}
Line 254: Line 156:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="2" rowspan="2" |Octatonic
! colspan="5" |Intense Phrygian
! colspan="3" |Intense Phrygian
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="6" |Soft Aeolian
! colspan="3" |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¢
!Maximum
!Maximum
|-
|-
Line 279: Line 174:
|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
|105.4945
|105.4945
|-
|-
Line 297: Line 185:
|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
|210.989
|210.989
|-
|-
Line 315: Line 196:
|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
|316.4835
|316.4835
|-
|-
Line 333: Line 207:
|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
|421.978
|421.978
|-
|-
Line 351: Line 218:
|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
|527.4725
|527.4725
|-
|-
Line 369: Line 229:
|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
|632.967
|632.967
|-
|-
Line 387: Line 240:
|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
|738.4615
|738.4615
|-
|-
Line 405: Line 251:
|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
|843.856
|843.856
|-
|-
Line 423: Line 262:
|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
|949.4505
|949.4505
|-
|-
Line 441: Line 273:
|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
|1054.945
|1054.945
|-
|-
Line 459: Line 284:
|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
|1160.44
|1160.44
|-
|-
Line 477: Line 295:
|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
|1265.935
|1265.935
|-
|-
Line 495: Line 306:
|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
|1371.429
|1371.429
|}
|}


{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="3" |Degrees
! rowspan="2" |Octatonic
! rowspan="3" |Octatonic
! colspan="5" |Aeolian  
! colspan="8" |Aeolian  
! colspan="6" |Intense Aeolian  
! colspan="8" |Intense Aeolian  
|-
! colspan="4" |Flattone
! colspan="4" |Meantone
! colspan="4" |Superpyth
! colspan="4" |Ultrapyth
|-
|-
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Min-Med/Min-Max±13¢
!Median
!Maximum
!Minimum
!Median
!Median
!Med-Max±13¢
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!9/4±13¢
!Median
!Min-Med/Min-Max±13¢
!Min-Med/Min-Max±13¢
!Maximum
!Minimum
!Median
!Median
!Med-Max±13¢
!Med-Max±13¢
Line 533: Line 347:
|105.256-107.256
|105.256-107.256
|106.509
|106.509
| colspan="2" |106.883
|107.077
|105.7715-107.7715
|105.7715-107.7715
| colspan="2" |''107.692''
| colspan="2" |''107.692''
|106.993-108.993
|108.597
|107.738-109.738
|107.738-109.738
|109.091
| colspan="2" |109.091
|109.615
|108.459-110.459
|108.459-110.459
|110.769
|110.769
Line 546: Line 363:
|210.511-214.511
|210.511-214.511
|213.018
|213.018
| colspan="2" |213.765
|214.154
|211.543-215.543
|211.543-215.543
| colspan="2" |''215.385''
| colspan="2" |''215.385''
|213.986-217.986
|217.1945
|215.477-219.477
|215.477-219.477
|218.182
| colspan="2" |218.182
|219.231
|216.918-220.918
|216.918-220.918
|221.5385
|221.5385
Line 559: Line 379:
|315.767-321.767
|315.767-321.767
|319.527
|319.527
| colspan="2" |320.647
|321.231
|317.315-323.315
|317.315-323.315
| colspan="2" |''323.077''
| colspan="2" |''323.077''
|320.979-326.979
|325.792
|323.215-329.215
|323.215-329.215
|327.273
| colspan="2" |327.273
|328.846
|325.377-331.377
|325.377-331.377
|332.308
|332.308
Line 572: Line 395:
|421.022-429.022
|421.022-429.022
|426.036
|426.036
| colspan="2" |427.53
|428.308
|423.086-431.086
|423.086-431.086
| colspan="2" |''430.769''
| colspan="2" |''430.769''
|427.972-435.972
|434.389
|430.953-438.953
|430.953-438.953
|436.364
| colspan="2" |436.364
|438.4615
|433.836-437.836
|433.836-437.836
|443.076
|443.076
Line 585: Line 411:
|526.278-536.278
|526.278-536.278
|532.544
|532.544
| colspan="2" |534.413
|535.385
|528.858-538.858
|528.858-538.858
| colspan="2" |''538.4615''
| colspan="2" |''538.4615''
|534.965-544.965
|542.986
|538.6915-548.6915
|538.6915-548.6915
|545.4545
| colspan="2" |545.4545
|548.077
|542.295-552.295
|542.295-552.295
|553.846
|553.846
Line 598: Line 427:
|631.534-643.534
|631.534-643.534
|639.053
|639.053
| colspan="2" |641.2955
|642.4615
|634.629-646.629
|634.629-646.629
| colspan="2" |''646.154''
| colspan="2" |''646.154''
|641.9585-653.9585
|651.584
|646.43-658.43
|646.43-658.43
|654.5455
| colspan="2" |654.5455
|657.692
|650.754-666.754
|650.754-666.754
|664.615
|664.615
Line 611: Line 443:
|736.789-750.789
|736.789-750.789
|745.562
|745.562
| colspan="2" |748.178
|749.5385
|740.401-754.401
|740.401-754.401
| colspan="2" |''754.846''
| colspan="2" |''754.846''
|748.9515-762.9515
|760.181
|754.168-768.168
|754.168-768.168
|763.636
| colspan="2" |763.636
|767.308
|759.213-773.213
|759.213-773.213
|775.385
|775.385
Line 624: Line 459:
|842.045-858.045
|842.045-858.045
|853.071
|853.071
| colspan="2" |855.061
|856.615
|846.172-862.172
|846.172-862.172
| colspan="2" |''861.5385''
| colspan="2" |''861.5385''
|855.945-871.945
|868.778
|861.906-877.906
|861.906-877.906
|872.727
| colspan="2" |872.727
|876.923
|867.672-883.672
|867.672-883.672
|886.154
|886.154
Line 637: Line 475:
|947.3-965.3
|947.3-965.3
|958.58
|958.58
| colspan="2" |961.943
|963.692
|951.944-969.944
|951.944-969.944
| colspan="2" |''969.231''
| colspan="2" |''969.231''
|962.938-980.938
|977.376
|969.645-986.645
|969.645-986.645
|981.818
| colspan="2" |981.818
|986.5385
|976.131-994.131
|976.131-994.131
|996.923
|996.923
Line 650: Line 491:
|1052.556-1072.556
|1052.556-1072.556
|1065.089
|1065.089
| colspan="2" |1068.826
|1070.769
|1057.715-1077.715
|1057.715-1077.715
| colspan="2" |''1076.923''
| colspan="2" |''1076.923''
|1069.931-1089.931
|1085.973
|1077.383-1077.383
|1077.383-1077.383
|1090.909
| colspan="2" |1090.909
|1096.154
|1084.59-1104.59
|1084.59-1104.59
|1107.692
|1107.692
Line 663: Line 507:
|1157.8115-1179.8115
|1157.8115-1179.8115
|1171.598
|1171.598
| colspan="2" |1175.7085
|1177.846
|1163.487-1187.487
|1163.487-1187.487
| colspan="2" |''1184.615''
| colspan="2" |''1184.615''
|1177-924-1199.924
|1194.57
|1185.121-1207.121
|1185.121-1207.121
|1200
| colspan="2" |1200
|1205.769
|1193.049-1215.049
|1193.049-1215.049
|1218.4615
|1218.4615
Line 676: Line 523:
|1264.067-1287.067
|1264.067-1287.067
|1278.1065
|1278.1065
| colspan="2" |18=282.591
|1284.923
|1269.258-1293.258
|1269.258-1293.258
| colspan="2" |''1292.308''
| colspan="2" |''1292.308''
|1283.917-1307.917
|1303.167
|1292.86-1316.86
|1292.86-1316.86
|1309.094
| colspan="2" |1309.094
|1315.385
|1301.508-1325.508
|1301.508-1325.508
|1329.231
|1329.231
Line 689: Line 539:
|1368.322-1394.322
|1368.322-1394.322
|1384.615
|1384.615
| colspan="2" |1389.474
|1392
|1375.03-1401.03
|1375.03-1401.03
| colspan="2" |''1400''
| colspan="2" |''1400''
|1390.91-1416.91
|1411.765
|1400.598-1426.598
|1400.598-1426.598
|1418.182
| colspan="2" |1418.182
|1425
|1409.967-1435.967
|1409.967-1435.967
|1440
|1440
|}
Golden/Pyrite Tunings±13¢
{| class="wikitable"
|-
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! colspan="2" |Soft Phrygian
! colspan="4" |Phrygian
|-
! rowspan="2" |Min-Med
! rowspan="2" |Min-Max/Med-Max
! colspan="2" |Thirdtone
! colspan="2" |Semitone
|-
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
|-
| |1
| |G#/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
|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
|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
|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
|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
|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
|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
|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
|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
|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
|}
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="2" |Intense Phrygian
! colspan="4" |Intense Phrygian-Soft Aeolian
! colspan="5" |Soft Aeolian
|-
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Maximum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Maximum
|-
| |1
| |F#/Gb
|G#/Ab
|100.905-102.905
|101.1465-103.1465
|102.019-104.019
|103.167
|102.32-104.32
| colspan="2" |''103.846''
|103.425-105.425
|104.615
|103.812-105.812
|105.4945
|-
| |2
| |G
|A
|201.81-205.81
|202.293-206.293
|204.037-208.037
|206.335
|204.641-208.641
| colspan="2" |''207.692''
|206.849-210.849
|209.231
|207.624-211.624
|210.989
|-
| |3
| |G#/Ab
|A#/Bb
|302.715-308.715
|303.44-309.44
|306.056-312.056
|309.502
|306.961-312.961
| colspan="2" |''311.5385''
|310.274-316.274
|313.846
|311.4365-317.4365
|316.4835
|-
| |4
| |A
|B
|403.62-411.62
|404.586-412.586
|408.075-416.075
|412.67
|409.281-417.281
| colspan="2" |''415.385''
|413.699-421.699
|418.4615
|415.249-423.249
|421.978
|-
| |5
| |B
|C
|504.525-514.525
|505.733-515.733
|510.093-520.093
|515.837
|511.602-521.602
| colspan="2" |''519.231''
|517.123-527.123
|523.077
|519.061-529.061
|527.4725
|-
| |6
| |B#/Hb
|C#/Qb
|605.43-617.43
|606.879-618.879
|612.112-624.112
|619.0045
|613.922-625.922
| colspan="2" |''623.077''
|620.548-632.548
|627.692
|622.873-634.873
|632.967
|-
| |7
| |H
|Q
|706.335-720.335
|708.026-722.026
|714.131-728.131
|722.172
|716.242-730.242
| colspan="2" |''736.923''
|723.973-737.973
|732.308
|726.685-740.685
|738.4615
|-
| |8
| |C
|D
|807.24-823.24
|809.172-825.172
|816.1495-832.1495
|825.339
|818.563-834.563
| colspan="2" |''830.769''
|827.3975-843.3975
|836.923
|830.497-846.497
|843.856
|-
| |9
| |C#/Db
|D#/Eb
|908.145-926.145
|910.319-928.319
|918.168-936.168
|929.507
|920.883-938.883
| colspan="2" |''934.615''
|930.822-948.822
|941.5385
|934.309-952.309
|949.4505
|-
| |10
| |D
|E
|1009.0505-1029.0505
|1011.465-1031.465
|1020.186-1040.186
|1031.674
|1023.2035-1043.2035
| colspan="2" |''1038.4165''
|1034.247-1054.2547
|1046.154
|1038.122-1058.122
|1054.945
|-
| |11
| |D#/Eb
|E#/Fb
|1109.9555-1131.9555
|1112.61-1134.612
|1122.2055-1143.2055
|1134.842
|1125.524-1147.524
| colspan="2" |''1142.308''
|1137.672-1159.672
|1150.769
|1141.934-1163.934
|1160.44
|-
| |12
| |E
|F
|1210.861-1234.861
|1213.758-1227.758
|1224.224-1248.224
|1238.009
|1225.844-1249.884
| colspan="2" |''1246.154''
|1241.096-1265.096
|1255.385
|1245.746-1269.746
|1265.935
|-
| |13
| |F
|G
|1311.767-1337.767
|1314.905-1340.905
|1326.243-1352.243
|1341.1765
|1343.1645-1396.1645
| colspan="2" |''1350''
|1344.521-1370.521
|1360
|1349.558-1375.558
|1371.429
|}
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! colspan="4" |Aeolian
! colspan="4" |Intense Aeolian
|-
! colspan="2" |Flattone
! colspan="2" |Meantone
! colspan="2" |Superpyth
! colspan="2" |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
|-
| |1
| |F#/Gb
|105.256-107.256
| colspan="2" |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
| colspan="2" |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
|315.767-321.767
| colspan="2" |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
| colspan="2" |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
|526.278-536.278
| colspan="2" |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
|631.534-643.534
| colspan="2" |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
|736.789-750.789
| colspan="2" |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
|842.045-858.045
| colspan="2" |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
|947.3-965.3
| colspan="2" |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
|1052.556-1072.556
| colspan="2" |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
|1157.8115-1179.8115
| colspan="2" |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
|1264.067-1287.067
| colspan="2" |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
| colspan="2" |1373.127-1404.193
|1380.033-1406.033
|1396.658-1422.658
|1400.598-1426.598
|1409.967-1435.967
|1414.428-1440.428
|}
|}
[[Category:13-tone]]
[[Category:13-tone]]

Revision as of 01:56, 18 February 2019

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 Median Maximum Thirdtone Semitone
Minimum Median Maximum Minimum Median Maximum
1 G#/Ab 92.308 96.5035 96.703 97.436-97.582 98.4615-98.901 99.692-100 101.5385
2 A 184.615 193.007 193.407 194.872-195.165 196.923-197.805 199.385-200 203.077
3 A#/Bb 276.923 289.5105 290.11 292.308-292.747 295.385-296.703 299.077-300 304.615
4 B 369.231 386.014 386.813 389.735-390.33 393.846-395.604 398.769-400 406.154
5 C 461.5385 482.5175 483.5165 487.1795-487.912 492.308-494.5055 498.4615-500 507.692
6 C#/Qb 553.846 579.021 580.22 584.615-585.4945 590.769-593.407 598.154-600 609.231
7 Q 646.154 675.5245 676.923 682.051-683.077 689.231-692.308 697.846-700 710.769
8 D 738.4615 772.0228 773.626 779.487-780.659 787.692-791.209 797.5385-800 812.308
9 D#/Eb 830.769 868.5315 870.33 876.923-878.242 886.154-890.11 897.231-900 913.846
10 E 923.077 965.035 967.033 974.359-975.824 984.615-989.011 996.923-1000 1015.385
11 E#/Fb 1015.385 1061.5385 1063.736 1071.795-1073.407 1083.077-1087.912 1096.615-1100 1116.923
12 F 1107.692 1158.042 1160.4395 1169.231-1170.989 1081.5385-1186.813 1196.308-1200 1218.4615
13 G 1200 1254.5455 1257.143 1266.667-1268.571 1280-1285.714 1296-1300 1320
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum Median Maximum Minimum Median Maximum Minimum Median Maximum
1 F#/Gb G#/Ab 101.5385 102.024 102.564 103.167 103.846 104.615 105.4945
2 G A 203.077 204.0485 205.128 206.335 207.692 209.231 210.989
3 G#/Ab A#/Bb 304.615 306.073 307.692 309.502 311.5385 313.846 316.4835
4 A B 406.154 408.097 410.256 412.67 415.385 418.4615 421.978
5 B C 507.692 510.1215 512.8205 515.837 519.231 523.077 527.4725
6 B#/Hb C#/Qb 609.231 612.146 615.384 619.0045 623.077 627.692 632.967
7 H Q 710.769 714.17 717.945 722.172 736.923 732.308 738.4615
8 C D 812.308 816.194 820.513 825.339 830.769 836.923 843.856
9 C#/Db D#/Eb 913.846 918.219 923.077 929.507 934.615 941.5385 949.4505
10 D E 1015.385 1020.243 1025.641 1031.674 1038.4165 1046.154 1054.945
11 D#/Eb E#/Fb 1116.923 1123.267 1128.205 1134.842 1142.308 1150.769 1160.44
12 E F 1218.4615 1224.291 1230.769 1238.009 1246.154 1255.385 1265.935
13 F G 1320 1326.316 1333.333 1341.1765 1350 1360 1371.429
Degrees Octatonic Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum Min-Med/Min-Max±13¢ Median Maximum Minimum Median Med-Max±13¢ Maximum Minimum Median Min-Med/Min-Max±13¢ Maximum Minimum Median Med-Max±13¢ Maximum
1 F#/Gb 105.4945 105.256-107.256 106.509 106.883 107.077 105.7715-107.7715 107.692 108.597 107.738-109.738 109.091 109.615 108.459-110.459 110.769
2 G 210.989 210.511-214.511 213.018 213.765 214.154 211.543-215.543 215.385 217.1945 215.477-219.477 218.182 219.231 216.918-220.918 221.5385
3 G#/Ab 316.4835 315.767-321.767 319.527 320.647 321.231 317.315-323.315 323.077 325.792 323.215-329.215 327.273 328.846 325.377-331.377 332.308
4 A 421.978 421.022-429.022 426.036 427.53 428.308 423.086-431.086 430.769 434.389 430.953-438.953 436.364 438.4615 433.836-437.836 443.076
5 B 527.4725 526.278-536.278 532.544 534.413 535.385 528.858-538.858 538.4615 542.986 538.6915-548.6915 545.4545 548.077 542.295-552.295 553.846
6 B#/Hb 632.967 631.534-643.534 639.053 641.2955 642.4615 634.629-646.629 646.154 651.584 646.43-658.43 654.5455 657.692 650.754-666.754 664.615
7 H 738.4615 736.789-750.789 745.562 748.178 749.5385 740.401-754.401 754.846 760.181 754.168-768.168 763.636 767.308 759.213-773.213 775.385
8 C 843.856 842.045-858.045 853.071 855.061 856.615 846.172-862.172 861.5385 868.778 861.906-877.906 872.727 876.923 867.672-883.672 886.154
9 C#/Db 949.4505 947.3-965.3 958.58 961.943 963.692 951.944-969.944 969.231 977.376 969.645-986.645 981.818 986.5385 976.131-994.131 996.923
10 D 1054.945 1052.556-1072.556 1065.089 1068.826 1070.769 1057.715-1077.715 1076.923 1085.973 1077.383-1077.383 1090.909 1096.154 1084.59-1104.59 1107.692
11 D#/Eb 1160.44 1157.8115-1179.8115 1171.598 1175.7085 1177.846 1163.487-1187.487 1184.615 1194.57 1185.121-1207.121 1200 1205.769 1193.049-1215.049 1218.4615
12 E 1265.9344 1264.067-1287.067 1278.1065 18=282.591 1284.923 1269.258-1293.258 1292.308 1303.167 1292.86-1316.86 1309.094 1315.385 1301.508-1325.508 1329.231
13 F 1371.429 1368.322-1394.322 1384.615 1389.474 1392 1375.03-1401.03 1400 1411.765 1400.598-1426.598 1418.182 1425 1409.967-1435.967 1440

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
1 G#/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 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 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 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 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 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 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 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 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 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±13¢ Median Med-Max±13¢ Maximum Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum
1 F#/Gb G#/Ab 100.905-102.905 101.1465-103.1465 102.019-104.019 103.167 102.32-104.32 103.846 103.425-105.425 104.615 103.812-105.812 105.4945
2 G A 201.81-205.81 202.293-206.293 204.037-208.037 206.335 204.641-208.641 207.692 206.849-210.849 209.231 207.624-211.624 210.989
3 G#/Ab A#/Bb 302.715-308.715 303.44-309.44 306.056-312.056 309.502 306.961-312.961 311.5385 310.274-316.274 313.846 311.4365-317.4365 316.4835
4 A B 403.62-411.62 404.586-412.586 408.075-416.075 412.67 409.281-417.281 415.385 413.699-421.699 418.4615 415.249-423.249 421.978
5 B C 504.525-514.525 505.733-515.733 510.093-520.093 515.837 511.602-521.602 519.231 517.123-527.123 523.077 519.061-529.061 527.4725
6 B#/Hb C#/Qb 605.43-617.43 606.879-618.879 612.112-624.112 619.0045 613.922-625.922 623.077 620.548-632.548 627.692 622.873-634.873 632.967
7 H Q 706.335-720.335 708.026-722.026 714.131-728.131 722.172 716.242-730.242 736.923 723.973-737.973 732.308 726.685-740.685 738.4615
8 C D 807.24-823.24 809.172-825.172 816.1495-832.1495 825.339 818.563-834.563 830.769 827.3975-843.3975 836.923 830.497-846.497 843.856
9 C#/Db D#/Eb 908.145-926.145 910.319-928.319 918.168-936.168 929.507 920.883-938.883 934.615 930.822-948.822 941.5385 934.309-952.309 949.4505
10 D E 1009.0505-1029.0505 1011.465-1031.465 1020.186-1040.186 1031.674 1023.2035-1043.2035 1038.4165 1034.247-1054.2547 1046.154 1038.122-1058.122 1054.945
11 D#/Eb E#/Fb 1109.9555-1131.9555 1112.61-1134.612 1122.2055-1143.2055 1134.842 1125.524-1147.524 1142.308 1137.672-1159.672 1150.769 1141.934-1163.934 1160.44
12 E F 1210.861-1234.861 1213.758-1227.758 1224.224-1248.224 1238.009 1225.844-1249.884 1246.154 1241.096-1265.096 1255.385 1245.746-1269.746 1265.935
13 F G 1311.767-1337.767 1314.905-1340.905 1326.243-1352.243 1341.1765 1343.1645-1396.1645 1350 1344.521-1370.521 1360 1349.558-1375.558 1371.429
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
1 F#/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 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 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 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 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 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 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 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 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 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
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