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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"
! rowspan="2" |Degrees
|+
! colspan="4" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
!Nonet
! colspan="3" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
!Period
! colspan="3" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
!Notes
|-
|-
!Absolute Minimum
|1/1
! |Minimum
|''133.333''
!Median
|Soft Phrygian mode begins
! |Maximum
! |Minimum
!Median
! |Maximum
!Minimum
!Median
! |Maximum
|-
|-
| |1
|25\24
|133.333
|''138.889''
| |138.667
|
|142.222
| colspan="2" |146.667
|149.02
| colspan="2" |152.381
|155.556
| |160
|-
|-
| |2
|24/23
|266.667
|139.130
|277.333
|
|284.444
| colspan="2" |293.333
|288.039
| colspan="2" |304.762
|311.111
|320
|-
|-
| |3
|23/22
|400
| 139.394
|416
|
|426.667
| colspan="2" |440
|447.059
| colspan="2" |457.143
|466.667
|480
|-
|-
| |4
|22\21
|533.333
|139.683
|554.667
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|568.889
| colspan="2" |586.667
|596.078
| colspan="2" |609.524
|622.222
|640
|-
|-
| |5
|21\20
|666.667
|140.000
|693.333
|
|711.111
| colspan="2" |733.333
|745.098
| colspan="2" |761.905
|777.778
|800
|-
|-
| |6
|20\19
|800
|140.351
|832
|
|853.333
| colspan="2" |880
|894.118
| colspan="2" |914.286
|933.333
|960
|-
|-
| |7
|19\18
|933.333
| 140.741
|970.667
|
|995.556
| colspan="2" |1026.667
|1043.137
| colspan="2" |1066.667
|1088.889
|1120
|-
|-
|8
|37\35
|1066.667
|140.952
|1109.333
|
|1137.778
| colspan="2" |1177.333
|1192.157
| colspan="2" |1219.048
|1244.444
|1280
|}
 
Most harmonic tunings
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|18\17
!Phrygian Mode (natural minor)
|141.176
!Phrygian-Aeolian Mode (intermediate minor)
|
!Aeolian Mode (melodic/harmonic minor)
|-
|-
!15/7±13¢
|17\16
!11/5±13¢
|141.667
!9/4±13¢
|
|-
|-
| |1
|16\15
|145.16-148.049
|142.222
|150.223-153.112
|Thirdtone Phrygian mode ends
|154.546-157.434
|-
|-
| |2
|15\14
|290.321-296.098
|142.857
|300.445-306.223
|Semitone Phrygian mode begins
|309.091-314.869
|-
|-
| |3
|14\13
|435.481-444.148
|143.590
|450.668459.335
|
|463.637-473.303
|-
|-
| |4
|27\25
|580.641-592.197
|144.000
|600.891-612.446
|
|618.182-629.738
|-
|-
| |5
|13\12
|725.802-740.246
| ''144.444''
|751.1135-765.558
|
|772.728-787.172
|-
|-
| |6
|12\11
|870.962*888.295
|145.455
|901.336-918.6695
|
|927.273-944.607
|-
|-
| |7
|11\10
|1016.122-1036.344
|146.667
|1051.559-1071.781
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|1081.819-1102.041
|-
|-
|8
|21\19
|1161.2825-1184.395
|147.368
|1201.7815-1224.893
|
|1236.364-1259.476
|}Golden Tunings
 
Phrygian Mode (natural minor)
{| class="wikitable"
|-
|-
!Degrees
|10\9
!Min-Med-13c
|148.148
!Min-Max-13c
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
!Min-Med
!Min-Max
!Med-Max-13c
!Min-Med+13c
!Min-Max+13c
!Med-Max
!Med-Max+13c
|-
|-
| |1
|19\17
|139.774
|149.020
|140.366
|
|141.218
| |141.81
|142.075
|142.663
|143.254
|143.519
|144.9635
|-
|-
| |2
|9\8
|279.548
|''150.000''
|280.731
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|282.437
| |283.62
|284.149
|285.3255
|286.509
|287.038
|289.927
|-
|-
| |3
|17\15
|419.3215
|151.111
|421.097
|
|423.655
| |424.43
|426.224
|427.988
|429.763
|430.557
|434.891
|-
|-
| |4
|8\7
|559.095
|152.381
|561.462
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|564.876
| |566.24
|568.3
|570.650
|573.018
|574.076
|579.854
|-
|-
| |5
|15\13
|698.869
|153.846
|701.828
|
|706.0915
| |709.05
|710.373
|713.314
|716.272
|717.5955
|724.818
|-
|-
| |6
|22\19
|838.643
|154.386
|842.193
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|847.308
| |850.86
|852.448
|855.976
|859.5265
|861.115
|869.781
|-
| |7
|978.417
|982.559
|988.528
| |992.67
|994.5225
|998.639
|1002.781
|1004.634
|1014.745
|-
|8
|1118.191
|1122.924
|1129.746
|1134.48
|1136.597
|1141.302
|1146.035
|1148.153
|1159.708
|}
Phrygian-Aeolian Mode (intermediate minor)
{| class="wikitable"
|-
!Degrees
!Min-Med/Min-Max-13c
!Med-Max-13c
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max+13c
!Med-Max+13c
!Min-Med-13c (Aeolian)
|-
| |1
|146.948
|148.257
|148.392
|149.7015
|149.836
|151.146
|152.036
|-
| |2
|293.896
|296.514
|296.7845
|299.403
|299.673
|302.292
|304.072
|-
| |3
|440.8435
|444.771
|445.177
|449.1045
|449.51
|453.438
|456.408
|-
| |4
|587.791
|593.028
|593.5695
|598.806
|599.347
|604.584
|608.143
|-
| |5
|734.739
|741.285
|741.961
|748.507
|749.184
|755.73
|760.179
|-
| |6
|881.687
|889.542
|890.354
|898.209
|899.02
|906.876
|912.215
|-
| |7
|1028.635
|1037.799
|1038.746
|1047.91
|1048.857
|1058.0215
|1064.251
|-
|8
|1175.583
|1186.056
|1187.138
|1197.612
|1198.694
|1209.1675
|1216.387
|}Aeolian Mode (melodic/harmonic minor)
{| class="wikitable"
|-
|-
!Degrees
|29\25
!Min-Med-13c
| 154.667
!Min-Med
|
!Min-Max
!Min-Med+13c
!Med-Max-13c
!Min-Max+13c
!Med-Max
!Med-Max+13c
|-
|-
| |1
|7\6
|153.27
|''155.556''
|153.48
|Meantone Aeolian mode ends, Superpyth Intense Aeolian begins
| |154.714
|154.925
|155.622
|156.159
|157.066
|158.511
|-
|-
| |2
|20\17
|306.54
|156.863
|306.961
|
| |308.429
|309.8495
|311.244
|312.3175
|314.133
|317.022
|-
|-
| |3
|14\11
|459.81
|157.576
|460.441
| Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
| |464.143
|464.774
|466.866
|468.476
|471.199
|475.533
|-
|-
| |4
|19\16
|613.0795
|158.333
|613.921
|
| |618.857
|619.699
|622.488
|624.635
|628.266
|634.0435
|-
|-
| |5
|25\21
|766.349
|158.730
|767.4015
|
| |773.572
|774.624
|778.11
|780.794
|785.332
|792.554
|-
|-
| |6
|31\26
|919.619
|158.974
|920.882
|
| |928.286
|929.5845
|933.732
|936.953
|942.399
|951.065
|-
|-
|7
|37\31
|1072.889
|159.140
|1074.362
|
|1083
|1084.473
|1089.354
|1093.111
|1099.465
|1109.576
|-
|-
|8
|6\5
|1226.159
|160.000
|1227.842
|Ultrapyth Intense Aeolian mode ends
|1237.715
|}By coincidence, using an equivalence wider than 1305 cents is identical to repeating a Phrygian mode Napoli scale one tone later.
|1239.398
|1244.976
|1249.27
|1256.531
|1268.087
|}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"