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User:Moremajorthanmajor/9edIX: Difference between revisions

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Line 6: Line 6:
|-
|-
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! 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
|-
|-
|1
|1
|''133.333''
|''133.333''
|137.784-140.673
|139.394
|139.394
|138.057-140.9455
| colspan="2" |139.6825
| colspan="2" |139.6825
|138.6045-142.053
|140.741-140.952
|140.741-140.952
|139.8-142.744
| colspan="2" |142.222-142.857
| colspan="2" |142.222-142.857
|142.075-145.468
|144-''144.444''
|144-''144.444''
|143.084-146.444
|145.16-148.049
|146.667
|146.667
|-
|-
|2
|2
|''266.667''
|''266.667''
|275.568-281.346
|278.788
|278.788
|276.113-281.891
| colspan="2" |279.365
| colspan="2" |279.365
|277.209-284.107
|281.4815-281.905
|281.4815-281.905
|279.6-285.549
| colspan="2" |284.444-285.714
| colspan="2" |284.444-285.714
|284.149-290.9365
|288-''288.889''
|288-''288.889''
|286.168-293.287
|290.321-296.098
|293.333
|293.333
|-
|-
|3
|3
|''400''
|''400''
|413.352-422.018
|418.182
|418.182
|414.17-422.836
| colspan="2" |419.048
| colspan="2" |419.048
|415.814-426.16
|422.222-422.857
|422.222-422.857
|419.4-428.323
| colspan="2" |426.667-428.429
| colspan="2" |426.667-428.429
|426.224-436.405
|432-''433.333''
|432-''433.333''
|429.252-439.933
|435.481-444.148
|440
|440
|-
|-
|4
|4
|''533.333''
|''533.333''
|551.136-562.691
|557.576
|557.576
|552.226-563.782
| colspan="2" |558.73
| colspan="2" |558.73
|554.418-568.213
|562.963-563.8095
|562.963-563.8095
|559.2-571.0975
| colspan="2" |568.889-571.429
| colspan="2" |568.889-571.429
|568.299-581.873
|576-''577.778''
|576-''577.778''
|572.3365-586.577
|580.641-592.197
|586.667
|586.667
|-
|-
|5
|5
|''666.667''
|''666.667''
|688.919-703.364
|696.97
|696.97
|690.283-704.727
| colspan="2" |698.413
| colspan="2" |698.413
|693.023-710.267
|703.704-704.762
|703.704-704.762
|699-713.872
| colspan="2" |711.111-714.286
| colspan="2" |711.111-714.286
|710.373-727.341
|720-''722.222''
|720-''722.222''
|715.42-733.222
|725.802-740.246
|733.333
|733.333
|-
|-
|6
|6
|''800''
|''800''
|826.70-844.037
|836.364
|836.364
|828.3395-845.673
| colspan="2" |838.095
| colspan="2" |838.095
|831.627-852.32
|844.444-845.714
|844.444-845.714
|838.7995-856.646
| colspan="2" |853.333-857.142
| colspan="2" |853.333-857.142
|853.448-872.81
|864-''866.667''
|864-''866.667''
|858.505-879.866
|870.962-888.295
|880
|880
|-
|-
|7
|7
|''933.333''
|''933.333''
|964.487-984.7095
|975.7575
|975.7575
|966.396-986.6148
| colspan="2" |977.778
| colspan="2" |977.778
|970.232-994.373
|985.185-986.666-7
|985.185-986.666-7
|978.5995-999.421
| colspan="2" |995.556-1000
| colspan="2" |995.556-1000
|994.5225-1018.278
|1008-''1011.111''
|1008-''1011.111''
|1001.589-1026.51
|1016.122-1036.344
|1026.667
|1026.667
|-
|-
|8
|8
|''1066.667''
|''1066.667''
|1102.271-1125.382-
|1115.1515
|1115.1515
|1104.453-1127.564
| colspan="2" |1116.46
| colspan="2" |1116.46
|1108.836-1136.427
|1125.926-1127.619
|1125.926-1127.619
|1118.399-1142.195
| colspan="2" |1137.778-1142.857
| colspan="2" |1137.778-1142.857
|1136.597-1163.746
|1152-''1155.556''
|1152-''1155.556''
|1144.673-1173.155
|1161.2825-1184.395
|1177.333
|1177.333
|}
|}
Line 162: Line 99:
! colspan="5" |Intense Phrygian
! colspan="5" |Intense Phrygian
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="6" |Soft Aeolian
! colspan="5" |Soft Aeolian
|-
|-
!Minimum
!Minimum
Line 178: Line 115:
!Median
!Median
!Med-Max±13¢
!Med-Max±13¢
!11/5±13¢
!Maximum
!Maximum
|-
|-
Line 194: Line 130:
|151.111
|151.111
|149.951-152.84
|149.951-152.84
|150.223-153.112
|152.381
|152.381
|-
|-
Line 210: Line 145:
|302.222
|302.222
|299.902-305.68
|299.902-305.68
|300.445-306.223
|304.762
|304.762
|-
|-
Line 226: Line 160:
|453.333
|453.333
|449.853-458.519
|449.853-458.519
|450.668459.335
|457.143
|457.143
|-
|-
Line 242: Line 175:
|604.444
|604.444
|599.804-611.359
|599.804-611.359
|600.891-612.446
|609.524
|609.524
|-
|-
Line 258: Line 190:
|755.556
|755.556
|749.755-764.199
|749.755-764.199
|751.1135-765.558
|761.905
|761.905
|-
|-
Line 274: Line 205:
|906.667
|906.667
|899.7055-917.039
|899.7055-917.039
|901.336-918.6695
|914.286
|914.286
|-
|-
Line 290: Line 220:
|1057.778
|1057.778
|1049.6565-1069.879
|1049.6565-1069.879
|1051.559-1071.781
|1066.667
|1066.667
|-
|-
Line 306: Line 235:
|1208.889
|1208.889
|1199.607-1222.7185
|1199.607-1222.7185
|1201.7815-1224.893
|1219.048
|1219.048
|}
|}
Line 446: Line 374:
|1260.6-1283.711
|1260.6-1283.711
|1280
|1280
|}Golden/Pyrite Tunings±13¢
{| class="wikitable"
|-
! rowspan="3" |Degrees
! 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
|137.784-140.673
|138.057-140.9455
|138.6045-142.053
|139.8-142.744
|142.075-145.468
|143.084-146.444
|-
|2
|275.568-281.346
|276.113-281.891
|277.209-284.107
|279.6-285.549
|284.149-290.9365
|286.168-293.287
|-
|3
|413.352-422.018
|414.17-422.836
|415.814-426.16
|419.4-428.323
|426.224-436.405
|429.252-439.933
|-
|4
|551.136-562.691
|552.226-563.782
|554.418-568.213
|559.2-571.0975
|568.299-581.873
|572.3365-586.577
|-
|5
|688.919-703.364
|690.283-704.727
|693.023-710.267
|699-713.872
|710.373-727.341
|715.42-733.222
|-
|6
|826.70-844.037
|828.3395-845.673
|831.627-852.32
|838.7995-856.646
|853.448-872.81
|858.505-879.866
|-
|7
|964.487-984.7095
|966.396-986.6148
|970.232-994.373
|978.5995-999.421
|994.5225-1018.278
|1001.589-1026.51
|-
|8
|1102.271-1125.382-
|1104.453-1127.564
|1108.836-1136.427
|1118.399-1142.195
|1136.597-1163.746
|1144.673-1173.155
|}
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="2" |Intense Phrygian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="2" |Soft Aeolian
|-
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
|-
|1
|145.751-148.641
|146.101-148.99
|147.36-150.249
|147.796-150.685
|149.391-152.28
|149.951-152.84
|-
|2
|291.5035-297.282
|292.201-297.979
|294.721-300.498
|295.592-301.37
|298.782-304.56
|299.902-305.68
|-
|3
|437.255-445.922
|438.302-446.968
|442.081-450.748
|443.388-452.055
|448.174-456.84
|449.853-458.519
|-
|4
|583.007-594.5625
|584.402-595.958
|589.441-600.997
|591.164-602.74
|597.565-609.12
|599.804-611.359
|-
|5
|728.759-743.203
|730.502-744.947
|736.802-751.246
|738.98-753.425
|746.956-761.4005
|749.755-764.199
|-
|6
|874.51-891.844
|876.603-893.937
|884.161-901.495
|886.776-904.11
|896.347-913.681
|899.7055-917.039
|-
|7
|1020.262-1040.484
|1022.704-1042.926
|1031.522-1051.7445
|1034.572-1054.795
|1045.7385-1065.961
|1049.6565-1069.879
|-
|8
|1166.014-1189.125
|1168.804-1191.9155
|1178.883-1201.994
|1182.269-1205.48
|1195.13-1216.241
|1199.607-1222.7185
|}
{| class="wikitable"
! rowspan="3" |Degrees
! 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
|152.036-154.925
| colspan="2" |152.67-156.021
|153.337-156.226
|154.185-157.074
|155.622-158.511
|156.663-159.552
|157.159-160.047
|-
|2
|304.072-309.85
| colspan="2" |305.139-312.043
|306.673-312.451
|310.368-316.146
|311.244-317.022
|313.325-319.103
|314.317-320.095
|-
|3
|456.108-464.774
| colspan="2" |457.809-468.064
|460.011-468.678
|465.553-478.22
|466.866-475.532
|469.989-478.655
|471.476-480.142
|-
|4
|608.144-619.699
| colspan="2" |610.278-624.085
|613.348-624.903
|620.737-632.293
|622.488-634.044
|626.652-638.208
|628.635-640.189
|-
|5
|760.192-774.623
| colspan="2" |762.838-780.107
|766.685-781.109
|775.921-790.3655
|778.11-792.554
|783.315-797.759
|785.794-800.238
|-
|6
|912.215-929.549
| colspan="2" |915.418-936.128
|920.023-937.356
|931.105-948.439
|934.066-950.732
|940.315-956.978
|942.952-960.286
|-
|7
|1064.251-1084.473
| colspan="2" |1067.988-1092.15
|1073.359-1093.5815
|1086.29-1106.512
|1089.354-1109.576
|1096.64-1116.862
|1100.111-1120.333
|-
|8
|1216.286-1239.398
| colspan="2" |1220.557-1248.172
|1226.696-1249.808
|1241.473-1264.585
|1244.975-1268.087
|1253.303-1276.415
|1257.27-1280.381
|}By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.
|}By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.
[[Category:9-tone]]
[[Category:9-tone]]
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