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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="3" |Soft Phrygian
|''133.333''
! colspan="6" |Phrygian
|Soft Phrygian mode begins
|-
|-
! rowspan="2" |Minimum
|25\24
! rowspan="2" |Median
|''138.889''
! rowspan="2" |Maximum
|
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
|-
!Minimum
|24/23
!Median
|139.130
!Maximum
|
!Minimum
!Median
!Maximum
|-
|-
|1
|23/22
|''133.333''
| 139.394
|139.394
|
| colspan="2" |139.6825
|140.741-140.952
| colspan="2" |142.222-142.857
|144-''144.444''
|146.667
|-
|-
|2
|22\21
|''266.667''
|139.683
|278.788
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
| colspan="2" |279.365
|281.4815-281.905
| colspan="2" |284.444-285.714
|288-''288.889''
|293.333
|-
|-
|3
|21\20
|''400''
|140.000
|418.182
|
| colspan="2" |419.048
|422.222-422.857
| colspan="2" |426.667-428.429
|432-''433.333''
|440
|-
|-
|4
|20\19
|''533.333''
|140.351
|557.576
|
| colspan="2" |558.73
|562.963-563.8095
| colspan="2" |568.889-571.429
|576-''577.778''
|586.667
|-
|-
|5
|19\18
|''666.667''
| 140.741
|696.97
|
| colspan="2" |698.413
|703.704-704.762
| colspan="2" |711.111-714.286
|720-''722.222''
|733.333
|-
|-
|6
|37\35
|''800''
|140.952
|836.364
|
| colspan="2" |838.095
|844.444-845.714
| colspan="2" |853.333-857.142
|864-''866.667''
|880
|-
|-
|7
|18\17
|''933.333''
|141.176
|975.7575
|
| colspan="2" |977.778
|985.185-986.666
| colspan="2" |995.556-1000
|1008-''1011.111''
|1026.667
|-
|-
|8
|17\16
|''1066.667''
|141.667
|1115.1515
|
| colspan="2" |1116.46
|1125.926-1127.619
| colspan="2" |1137.778-1142.857
|1152-''1155.556''
|1177.333
|}
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|16\15
! colspan="5" |Intense Phrygian
|142.222
! colspan="5" |Intense Phrygian-Soft Aeolian
|Thirdtone Phrygian mode ends
! colspan="5" |Soft Aeolian
|-
|-
!Minimum
|15\14
!Min-Med/Min-Max±13¢
|142.857
!Median
|Semitone Phrygian mode begins
!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¢
!Maximum
|-
|-
|1
|14\13
|146.667
|143.590
|145.751-148.641
|
|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
|152.381
|-
|-
|2
|27\25
|293.333
|144.000
|291.5035-297.282
|
|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
|304.762
|-
|-
|3
|13\12
|440
| ''144.444''
|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
|457.143
|-
|-
|4
|12\11
|586.667
|145.455
|583.007-594.5625
|
|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
|609.524
|-
|-
|5
|11\10
|733.333
|146.667
|728.759-743.203
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|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
|761.905
|-
|-
|6
|21\19
|880
|147.368
|874.51-891.844
|
|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
|914.286
|-
|-
|7
|10\9
|1026.667
|148.148
|1020.262-1040.484
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|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
|1066.667
|-
|-
|8
|19\17
|1177.333
|149.020
|1166.014-1189.125
|
|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
|1219.048
|}
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="7" |Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="4" |Flattone
|9\8
! colspan="3" |Meantone
|''150.000''
! colspan="4" |Superpyth
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
! colspan="4" |Ultrapyth
|-
|-
!Minimum
|17\15
!20/9±13¢
|151.111
!Median
|
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!9/4±13¢
!Median
!Maximum
!Minimum
!Median
!16/7±13¢
!Maximum
|-
|-
|1
|8\7
|152.381
|152.381
|152.156-155.045
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|-
|15\13
|153.846
|153.846
| colspan="2" |154.386
|
|154.667
| colspan="2" |''155.556''
|154.546-157.434
|156.863
| colspan="2" |157.576
|158.333
|157.575-160.464
|160
|-
|-
|2
|22\19
|304.762
|154.386
|304.312-310.09
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|307.692
| colspan="2" |308.772
|309.333
| colspan="2" |''311.111''
|309.091-314.869
|313.7255
| colspan="2" |315.1515
|316.667
|315.15-320.928
|320
|-
|-
|3
|29\25
|457.143
| 154.667
|456.468-465.135
|
|461.5385
| colspan="2" |463.159
|464
| colspan="2" |''466.667''
|463.637-473.303
|470.588
| colspan="2" |472.727
|475
|472.725-480.392
|480
|-
|-
|4
|7\6
|609.524
|''155.556''
|608.624-620.18
|Meantone Aeolian mode ends, Superpyth Intense Aeolian begins
|615.385
| colspan="2" |617.544
|618.667
| colspan="2" |''622.222''
|618.182-629.738
|627.451
| colspan="2" |630.303
|633.333
|630.3-641.744
|640
|-
|-
|5
|20\17
|761.905
|156.863
|760.78-775.224
|
|769.231
| colspan="2" |771.93
|773.333
| colspan="2" |''777.778''
|772.728-787.172
|784.314
| colspan="2" |787.879
|791.667
|787.8745-802.319
|800
|-
|-
|6
|14\11
|914.286
|157.576
|912.936-930.269
| Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|923.077
| colspan="2" |926.316
|928
| colspan="2" |''933.333''
|927.273-944.607
|941.1765
| colspan="2" |945.4545
|950
|945.449-962.782
|960
|-
|-
|7
|19\16
|1066.667
|158.333
|1065.091-1085.313
|
|1076.923
| colspan="2" |1080.702
|1072.667
| colspan="2" |''1088.889''
|1081.819-1102.041
|1098.804
| colspan="2" |1103.03
|1108.333
|1103.024-1123.246
|1120
|-
|8
|1219.048
|1217.248-1240.359
|1230.769
| colspan="2" |1235.088
|1237.333
| colspan="2" |''1244.444''
|1236.364-1259.476
|1254.902
| colspan="2" |1260.606
|1266.667
|1260.6-1283.711
|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
|25\21
|760.192-774.623
|158.730
| 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
|31\26
|912.215-929.549
|158.974
| 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
|37\31
|1064.251-1084.473
|159.140
| 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
|6\5
|1216.286-1239.398
|160.000
| colspan="2" |1220.557-1248.172
|Ultrapyth Intense Aeolian mode ends
|1226.696-1249.808
|}By coincidence, using an equivalence wider than 1305 cents is identical to repeating a Phrygian mode Napoli scale one tone later.
|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.
[[Category:9-tone]]
[[Category:ed9/4]]
[[Category:edIX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/9edIX"