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| This Long Common Practice minor mode is the neutral scale of the Fujiyama temperament family. | | This Long Common Practice minor mode gives the wide values for the period of the Greater [[Ennealimmal]] and [[Tritrizo clan|Tritrizo temperaments]]. |
| | | == Intervals== |
| ==Intervals== | |
| | |
| {| class="wikitable" | | {| class="wikitable" |
| | |+ |
| | !Nonet |
| | !Period |
| | !Notes |
| |- | | |- |
| ! rowspan="3" |Degrees
| | |1/1 |
| ! colspan="5" |Soft Phrygian
| | |''133.333'' |
| ! colspan="11" |Phrygian
| | |Soft Phrygian mode begins |
| |- | | |- |
| ! rowspan="2" |Minimum
| | |25\24 |
| ! rowspan="2" |Min-Med±13¢
| | |''138.889'' |
| ! rowspan="2" |Median
| | | |
| ! rowspan="2" |Min-Max/Med-Max±13¢
| |
| ! rowspan="2" |Maximum
| |
| ! colspan="5" |Thirdtone
| |
| ! colspan="6" |Semitone
| |
| |- | | |- |
| !Minimum
| | |24/23 |
| !Min-Med/Min-Max±13¢
| | |139.130 |
| !Median
| | | |
| !Med-Max±13¢
| |
| !Maximum
| |
| !Minimum
| |
| !Min-Med/Min-Max±13¢
| |
| !Median
| |
| !Med-Max±13¢
| |
| !15/7±13¢
| |
| !Maximum
| |
| |- | | |- |
| |1 | | |23/22 |
| |133.333 | | | 139.394 |
| !137.784-140.673
| | | |
| !139.394
| | |- |
| !138.057-140.9455
| | |22\21 |
| ! colspan="2" |139.6825
| | |139.683 |
| !138.6045-142.053
| | |Soft Phrygian mode ends, Thirdtone Phrygian mode begins |
| |140.741-140.952 | | |- |
| !139.8-142.744
| | |21\20 |
| | colspan="2" |142.222-142.857 | | |140.000 |
| !142.075-145.468
| | | |
| !144-144.444
| | |- |
| !143.084-146.444
| | |20\19 |
| |145.16-148.049 | | |140.351 |
| |146.667 | | | |
| | |- |
| | |19\18 |
| | | 140.741 |
| | | |
| |- | | |- |
| |2 | | |37\35 |
| |266.667 | | |140.952 |
| !275.568-281.346
| | | |
| !278.788
| |
| !276.113-281.891
| |
| ! colspan="2" |279.365
| |
| !277.209-284.107
| |
| |281.4815-281.905 | |
| !279.6-285.549
| |
| | colspan="2" |284.444-285.714
| |
| !284.149-290.9365
| |
| !288-288.889
| |
| !286.168-293.287
| |
| |290.321-296.098
| |
| |293.333
| |
| |- | | |- |
| |3 | | |18\17 |
| |400
| | |141.176 |
| !413.352-422.018
| | | |
| !418.182
| |
| !414.17-422.836
| |
| ! colspan="2" |419.048
| |
| !415.814-426.16
| |
| |422.222-422.857
| |
| !419.4-428.323
| |
| | colspan="2" |426.667-428.429
| |
| !426.224-436.405
| |
| !432-433.333
| |
| !429.252-439.933
| |
| |435.481-444.148
| |
| |440 | |
| |- | | |- |
| |4 | | |17\16 |
| |533.333 | | |141.667 |
| !551.136-562.691
| | | |
| !557.576
| |
| !552.226-563.782
| |
| ! colspan="2" |558.73
| |
| !554.418-568.213
| |
| |562.963-563.8095
| |
| !559.2-571.0975
| |
| | colspan="2" |568.889-571.429
| |
| !568.299-581.873
| |
| !576-577.778
| |
| !572.3365-586.577
| |
| |580.641-592.197
| |
| |586.667
| |
| |- | | |- |
| |5 | | |16\15 |
| |666.667 | | |142.222 |
| !688.919-703.364
| | |Thirdtone Phrygian mode ends |
| !696.97
| |
| !690.283-704.727
| |
| ! colspan="2" |698.413
| |
| !693.023-710.267
| |
| |703.704-704.762
| |
| !699-713.872
| |
| | colspan="2" |711.111-714.286
| |
| !710.373-727.341
| |
| !720-722.222
| |
| !715.42-733.222
| |
| |725.802-740.246 | |
| |733.333
| |
| |- | | |- |
| |6 | | |15\14 |
| |800 | | |142.857 |
| !826.70-844.037
| | |Semitone Phrygian mode begins |
| !836.364
| |
| !828.3395-845.673
| |
| ! colspan="2" |838.095
| |
| !831.627-852.32
| |
| |844.444-845.714
| |
| !838.7995-856.646
| |
| | colspan="2" |853.333-857.142
| |
| !853.448-872.81
| |
| !864-866.667
| |
| !858.505-879.866
| |
| |870.962-888.295
| |
| |880 | |
| |- | | |- |
| |7 | | |14\13 |
| |933.333 | | |143.590 |
| !964.487-984.7095
| | | |
| !975.7575
| |
| !966.396-986.6148
| |
| ! colspan="2" |977.778
| |
| !970.232-994.373
| |
| |985.185-986.666-7
| |
| !978.5995-999.421
| |
| | colspan="2" |995.556-1000 | |
| !994.5225-1018.278
| |
| !1008-1011.111
| |
| !1001.589-1026.51
| |
| |1016.122-1036.344
| |
| |1026.667
| |
| |- | | |- |
| |8 | | |27\25 |
| |1066.667 | | |144.000 |
| !1102.271-1125.382-
| | | |
| !1115.1515
| |
| !1104.453-1127.564
| |
| ! colspan="2" |1116.46
| |
| !1108.836-1136.427
| |
| |1125.926-1127.619
| |
| !1118.399-1142.195
| |
| | colspan="2" |1137.778-1142.857
| |
| !1136.597-1163.746
| |
| !1152-1155.556
| |
| !1144.673-1173.155
| |
| |1161.2825-1184.395
| |
| |1177.333
| |
| |}
| |
| {| class="wikitable"
| |
| |- | | |- |
| ! rowspan="2" |Degrees
| | |13\12 |
| ! colspan="5" |Intense Phrygian
| | | ''144.444'' |
| ! colspan="5" |Intense Phrygian-Soft Aeolian
| | | |
| ! colspan="6" |Soft Aeolian
| |
| |- | | |- |
| !Minimum
| | |12\11 |
| !Min-Med/Min-Max±13¢
| | |145.455 |
| !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 | | |11\10 |
| |146.667 | | |146.667 |
| |145.751-148.641 | | |Semitone Phrygian mode ends, Intense Phrygian mode begins |
| | |- |
| | |21\19 |
| |147.368 | | |147.368 |
| |146.101-148.99 | | | |
| | colspan="2" |148.148
| |
| |147.36-150.249
| |
| |149.02
| |
| |147.796-150.685
| |
| | colspan="2" |150
| |
| |149.391-152.28
| |
| |151.111
| |
| |149.951-152.84
| |
| |150.223-153.112
| |
| |152.381
| |
| |- | | |- |
| |2 | | |10\9 |
| |293.333 | | |148.148 |
| |291.5035-297.282 | | |Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins |
| |294.737
| |
| |292.201-297.979
| |
| | colspan="2" |296.296
| |
| |294.721-300.498
| |
| |288.039
| |
| |295.592-301.37
| |
| | colspan="2" |300
| |
| |298.782-304.56
| |
| |302.222
| |
| |299.902-305.68
| |
| |300.445-306.223
| |
| |304.762
| |
| |- | | |- |
| |3 | | |19\17 |
| |440 | | |149.020 |
| |437.255-445.922
| | | |
| |442.105
| |
| |438.302-446.968
| |
| | colspan="2" |444.444
| |
| |442.081-450.748
| |
| |447.059
| |
| |443.388-452.055
| |
| | colspan="2" |450
| |
| |448.174-456.84
| |
| |453.333
| |
| |449.853-458.519
| |
| |450.668459.335 | |
| |457.143
| |
| |- | | |- |
| |4 | | |9\8 |
| |586.667 | | |''150.000'' |
| |583.007-594.5625 | | |Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins |
| |589.474
| |
| |584.402-595.958
| |
| | colspan="2" |592.593
| |
| |589.441-600.997
| |
| |596.078
| |
| |591.164-602.74
| |
| | colspan="2" |600
| |
| |597.565-609.12
| |
| |604.444
| |
| |599.804-611.359
| |
| |600.891-612.446
| |
| |609.524
| |
| |- | | |- |
| |5 | | |17\15 |
| |733.333 | | |151.111 |
| |728.759-743.203 | | | |
| |736.845
| |
| |730.502-744.947
| |
| | colspan="2" |740.741
| |
| |736.802-751.246
| |
| |745.098
| |
| |738.98-753.425
| |
| | colspan="2" |750
| |
| |746.956-761.4005
| |
| |755.556
| |
| |749.755-764.199
| |
| |751.1135-765.558
| |
| |761.905
| |
| |- | | |- |
| |6 | | |8\7 |
| |880 | | |152.381 |
| |874.51-891.844
| | |Soft Aeolian mode ends, Flattone Aeolian mode begins |
| |884.2015
| |
| |876.603-893.937
| |
| | colspan="2" |888.889
| |
| |884.161-901.495
| |
| |894.118
| |
| |886.776-904.11
| |
| | colspan="2" |900
| |
| |896.347-913.681
| |
| |906.667
| |
| |899.7055-917.039
| |
| |901.336-918.6695 | |
| |914.286
| |
| |- | | |- |
| |7 | | |15\13 |
| |1026.667 | | |153.846 |
| |1020.262-1040.484 | | | |
| |1031.158
| |
| |1022.704-1042.926
| |
| | colspan="2" |1037.037
| |
| |1031.522-1051.7445
| |
| |1043.137
| |
| |1034.572-1054.795
| |
| | colspan="2" |1050
| |
| |1045.7385-1065.961
| |
| |1057.778
| |
| |1049.6565-1069.879
| |
| |1051.559-1071.781
| |
| |1066.667
| |
| |- | | |- |
| |8 | | |22\19 |
| |1177.333 | | |154.386 |
| |1166.014-1189.125 | | |Flattone Aeolian mode ends, Meantone Aeolian mode begins |
| |1178.947
| |
| |1168.804-1191.9155
| |
| | colspan="2" |1185.1858
| |
| |1178.883-1201.994
| |
| |1192.157
| |
| |1182.269-1205.48
| |
| | colspan="2" |1200
| |
| |1195.13-1216.241
| |
| |1208.889
| |
| |1199.607-1222.7185
| |
| |1201.7815-1224.893
| |
| |1219.048
| |
| |}
| |
| {| class="wikitable"
| |
| ! rowspan="2" |Degrees
| |
| ! colspan="5" |Aeolian
| |
| ! colspan="6" |Intense Aeolian
| |
| |- | | |- |
| !Minimum
| | |29\25 |
| !Min-Med/Min-Max±13¢
| | | 154.667 |
| !Median
| | | |
| !Med-Max±13¢
| |
| !Maximum
| |
| !Minimum
| |
| !9/4±13¢
| |
| !Min-Med/Min-Max±13¢
| |
| !Median
| |
| !Med-Max±13¢
| |
| !Maximum
| |
| |- | | |- |
| |1 | | |7\6 |
| |152.381 | | |''155.556'' |
| |152.036-154.925
| | |Meantone Aeolian mode ends, Superpyth Intense Aeolian begins |
| !153.846
| |
| !152.781-155.67
| |
| | colspan="2" |155.556
| |
| |154.546-157.434 | |
| |155.622-158.511
| |
| !157.576
| |
| !156.663-159.552
| |
| |160
| |
| |- | | |- |
| |2 | | |20\17 |
| |304.762 | | |156.863 |
| |304.072-309.8495 | | | |
| !307.692
| |
| !305.562-311.34
| |
| | colspan="2" |311.111
| |
| |309.091-314.869
| |
| |311.244-317.022
| |
| !315.1515
| |
| !313.326-319.104
| |
| |320
| |
| |- | | |- |
| |3 | | |14\11 |
| |457.143 | | |157.576 |
| |456.408-464.774 | | | Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins |
| !461.5385
| |
| !458.343-467.01
| |
| | colspan="2" |466.667
| |
| |463.637-473.303
| |
| |466.866-475.533
| |
| !472.727
| |
| !469.989-478.656
| |
| |480
| |
| |- | | |- |
| |4 | | |19\16 |
| |609.524 | | |158.333 |
| |608.143-619.699 | | | |
| !615.385
| |
| !611.124-622.68
| |
| | colspan="2" |622.222
| |
| |618.182-629.738
| |
| |622.488-634.0435
| |
| !630.303
| |
| !626.652-638.2075
| |
| |640
| |
| |- | | |- |
| |5 | | |25\21 |
| |761.905 | | |158.730 |
| |760.179-774.624 | | | |
| !769.231
| |
| !763.9055-778.35
| |
| | colspan="2" |777.778
| |
| |772.728-787.172
| |
| |778.11-792.554
| |
| !787.879
| |
| !783.315-797.759
| |
| |800
| |
| |- | | |- |
| |6 | | |31\26 |
| |914.286 | | |158.974 |
| |912.215-929.5845 | | | |
| !923.077
| |
| !916.687-934.02
| |
| | colspan="2" |933.333
| |
| |927.273-944.607
| |
| |933.732-951.065
| |
| !945.4545
| |
| !939.978-957.311
| |
| |960
| |
| |- | | |- |
| |7 | | |37\31 |
| |1066.667 | | |159.140 |
| |1064.251-1084.473 | | | |
| !1076.923
| |
| !1069.468-1089.69
| |
| | colspan="2" |1088.889
| |
| |1081.819-1102.041
| |
| |1089.354-1109.576
| |
| !1103.03
| |
| !1096.641-1116.863
| |
| |1120
| |
| |- | | |- |
| |8 | | |6\5 |
| |1219.048 | | |160.000 |
| |1216.387-1239.398 | | |Ultrapyth Intense Aeolian mode ends |
| !1230.769
| | |}By coincidence, using an equivalence wider than 1305 cents is identical to repeating a Phrygian mode Napoli scale one tone later. |
| !1222.249-1245.36
| |
| | colspan="2" |1244.444
| |
| |1236.364-1259.476
| |
| |1244.976-1268.087
| |
| !1260.606
| |
| !1253.304-1276.415
| |
| |1280
| |
| |}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:ed9/4]]
| |
| [[Category:edIX]]
| |
| [[Category:todo:add_definition]]
| |
| [[Category:todo:unify_precision]]
| |