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This Long Common Practice minor mode gives the wide values for the period of the Greater [[Ennealimmal]] and [[Tritrizo clan|Tritrizo temperaments]].
This Long Common Practice minor mode is the neutral scale of the temperament family formerly named Fujiyama.
== 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-comma
|25\24
! rowspan="2" |Median
|''138.889''
! rowspan="2" |Maximum+comma
|
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
|-
!Minimum-comma
|24/23
!Median
|139.130
! colspan="2" |Maximum+comma~Minimum-comma
|
!Median
!Maximum+comma
|-
|-
|1
|23/22
|128.889-''133.333''
| 139.394
|139.394
|
| colspan="2" |135.238-144.127
|140.741-140.952
| colspan="2" |137.778-147.302
|144-''144.444''
|146.667-151.111
|-
|-
|2
|22\21
|257.778-''266.667''
|139.683
|278.788
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
| colspan="2" |270.476-288.254
|281.4815-281.905
| colspan="2" |275.556-294.603
|288-''288.889''
|293.333-302.222
|-
|-
|3
|21\20
|386.667-''400''
|140.000
|418.182
|
| colspan="2" |405.714-432.3841
|422.222-422.857
| colspan="2" |413.333-441.905
|432-''433.333''
|440-453.333
|-
|-
|4
|20\19
|515.556-''533.333''
|140.351
|557.576
|
| colspan="2" |540.925-576.508
|562.963-563.8095
| colspan="2" |551.111-589.206
|576-''577.778''
|586.667-604.444
|-
|-
|5
|19\18
|644.444-''666.667''
| 140.741
|696.97
|
| colspan="2" |676.1905-720.635
|703.704-704.762
| colspan="2" |688.889-736.508
|720-''722.222''
|733.333-755.556
|-
|-
|6
|37\35
|773.333-''800''
|140.952
|836.364
|
| colspan="2" |811.459-865.762
|844.444-845.714
| colspan="2" |826.667-883.8095
|864-''866.667''
|880-906.667
|-
|-
|7
|18\17
|902.222-''933.333''
|141.176
|975.7575
|
| colspan="2" |946.667-1008.889
|985.185-986.666
| colspan="2" |964.444-1031.111
|1008-''1011.111''
|1026.667-1057.778
|-
|-
|8
|17\16
|1031.111-''1066.667''
|141.667
|1115.1515
|
| colspan="2" |1081.905-1153.016
|1125.926-1127.619
| colspan="2" |1112.222-1178.413
|1152-''1155.556''
|1177.333-1208.889
|}
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|16\15
! colspan="3" |Intense Phrygian
|142.222
! colspan="3" |Intense Phrygian-Soft Aeolian
|Thirdtone Phrygian mode ends
! colspan="4" |Soft Aeolian
|-
|-
!Minimum-comma
|15\14
!Median
|142.857
! colspan="2" |Maximum+comma~Minimum-comma
|Semitone Phrygian mode begins
!Median
! colspan="2" |Maximum+comma~Minimum-comma
!''r¢''
!Median
!Maximum+comma
|-
|-
|1
|14\13
|142.222-146.667
|143.590
|147.368
|
| colspan="2" |143.704-152.593
|149.02
| colspan="2" |145.556-154.444
|''150''
|151.111
|152.381-156.825
|-
|-
|2
|27\25
|284.444-293.333
|144.000
|294.737
|
| colspan="2" |287.407-305.185
|288.039
| colspan="2" |291.111-308.889
|''300''
|302.222
|304.762-313.651
|-
|-
|3
|13\12
|426.667-440
| ''144.444''
|442.105
|
| colspan="2" |431.111-457.778
|447.059
| colspan="2" |436.667-463.333
|''450''
|453.333
|457.143-470.476
|-
|-
|4
|12\11
|568.889-586.667
|145.455
|589.474
|
| colspan="2" |574.815-610.37
|596.078
| colspan="2" |582.222-617.778
|''600''
|604.444
|609.524-627.302
|-
|-
|5
|11\10
|711.111-733.333
|146.667
|736.845
|Semitone Phrygian mode ends, Intense Phrygian mode begins
| colspan="2" |718.5185-762.693
|745.098
| colspan="2" |727.778-772.222
|''750''
|755.556
|761.905-784.127
|-
|-
|6
|21\19
|853.333-880
|147.368
|884.2015
|
| colspan="2" |862.222-915.556
|894.118
| colspan="2" |873.333-926.667
|''900''
|906.667
|914.286-940.952
|-
|-
|7
|10\9
|995.556-1026.667
|148.148
|1031.158
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
| colspan="2" |1005.926-1068.148
|1043.137
| colspan="2" |1018.889-1081.111
|''1050''
|1057.778
|1066.667-1097.778
|-
|-
|8
|19\17
|1137.778-1177.333
|149.020
|1178.947
|
| colspan="2" |1149.63-1220.741
|1192.157
| colspan="2" |1164.444-1235.556
|''1200''
|1208.889
|1219.048-1254.603
|}
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="6" |Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="3" |Flattone
|9\8
! colspan="3" |Meantone
|''150.000''
! colspan="5" |Superpyth
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
! colspan="3" |Ultrapyth
|-
|-
!Minimum-comma
|17\15
!Median
|151.111
! colspan="2" |Maximum+comma~Minimum-comma
|
!Median
! colspan="2" |Maximum+comma~Minimum-comma
! colspan="2" |''r¢''
!'''Median'''
! colspan="2" |Maximum+comma~Minimum-comma
!'''Median'''
!Maximum+comma
|-
|-
|1
|8\7
|147.9365-152.381
|152.381
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|-
|15\13
|153.846
|153.846
| colspan="2" |149.9065-158.795
|
|154.667
| colspan="2" |151.111-160
| colspan="2" |''155.556''
|156.863
| colspan="2" |153.131-162.02
|158.333
|160-164.444
|-
|-
|2
|22\19
|295.873-304.762
|154.386
|307.692
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
| colspan="2" |299.813-317.591
|309.333
| colspan="2" |302.222-320
| colspan="2" |''311.111''
|313.7255
| colspan="2" |306.263-324.04
|316.667
|320-328.887
|-
|-
|3
|29\25
|443.8095-457.143
| 154.667
|461.5385
|
| colspan="2" |449.715-476.386
|464
| colspan="2" |453.333-480
| colspan="2" |''466.667''
|470.588
| colspan="2" |459.394-486.061
|475
|480-493.333
|-
|-
|4
|7\6
|591.746-609.524
|''155.556''
|615.385
|Meantone Aeolian mode ends, Superpyth Intense Aeolian begins
| colspan="2" |599.626-635.181
|618.667
| colspan="2" |604.444-640
| colspan="2" |''622.222''
|627.451
| colspan="2" |612.525-648.081
|633.333
|640-657.778
|-
|-
|5
|20\17
|739.6825-761.905
|156.863
|769.231
|
| colspan="2" |749.532-793.977
|773.333
| colspan="2" |755.556-800
| colspan="2" |''777.778''
|784.314
| colspan="2" |765.657-810.101
|791.667
|800-822.222
|-
|-
|6
|14\11
|887.916-914.286
|157.576
|923.077
| Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
| colspan="2" |899.439-952.772
|928
| colspan="2" |906.667-960
| colspan="2" |''933.333''
|941.1765
| colspan="2" |918.788-972.121
|950
|960-986.667
|-
|-
|7
|19\16
|1035.556-1066.667
|158.333
|1076.923
|
| colspan="2" |1049.345-1111.567
|1072.667
| colspan="2" |1057.778-1120
| colspan="2" |''1088.889''
|1098.804
| colspan="2" |1071.919-1134.141
|1108.333
|1120-1151.111
|-
|8
|1183.492-1219.048
|1230.769
| colspan="2" |1199.2515-1270.363
|1237.333
| colspan="2" |1208.889-1280
| colspan="2" |''1244.444''
|1254.902
| colspan="2" |1225.0505-1296.162
|1266.667
|1280-1315.556
|}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
|1241.473-1264.585
|1244.975-1268.087
|1253.303-1276.415
|1257.27-1280.381
|}By coincidence, using an equivalence wider than 1305 cents is identical to repeating a Phrygian mode Napoli scale one tone later.
|}By coincidence, using an equivalence wider than 1305 cents is identical to repeating a Phrygian mode Napoli scale one tone later.
[[Category:9-tone scales]]
[[Category:ed9/4]]
[[Category:edIX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/9edIX"