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This Long Common Practice minor mode is the neutral scale of the Napoli temperament family.
This reformed minor mode is the neutral scale of the Napoli and Fujiyama temperament families in Long Common Practice. It also gives the wide values for the period of the Greater [[Ragismic microtemperaments#Octoid|Octoid]] and [[Schismatic family#Octant|octant]] 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
|''150.000''
!Median
|Soft Phrygian mode begins
! |Maximum
! |Minimum
!Median
! |Maximum
!Minimum
!Median
! |Maximum
|-
|-
| |1
|25\24
|150
|''156.250''
|158.571
|
|160
| colspan="2" |165
|167.647
| colspan="2" |171.429
|175
| |180
|-
|-
| |2
|24\23
|300
|156.522
|317.143
|
|320
| colspan="2" |330
|335.294
| colspan="2" |342.857
|350
| |360
|-
|-
| |3
|23/22
|450
|156.818
|475.714
|
|480
| colspan="2" |495
|502.941
| colspan="2" |514.286
|525
| |540
|-
|-
| |4
|22\21
|600
|157.143
|634.286
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|640
| colspan="2" |660
|670.588
| colspan="2" |685.714
|700
| |720
|-
|-
| |5
|21\20
|750
|157.500
|792.857
|
|800
| colspan="2" |825
|838.235
| colspan="2" |857.143
|875
| |900
|-
|-
| |6
|20\19
|900
|157.895
|951.429
|
|960
| colspan="2" |990
|1005.882
| colspan="2" |1028.571
|1050
| |1080
|-
|-
| |7
|19\18
|1050
|158.333
|1110
|
|1120
| colspan="2" |1155
|1173.529
| colspan="2" |1200
|1225
| |1260
|}
Most harmonic tunings
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|37\35
!Phrygian Mode (natural minor)
|158.571
!Phrygian-Aeolian Mode (intermediate minor)
|
!Aeolian Mode (melodic/harmonic minor)
|-
|-
!15/7±13¢
|18\17
!11/5±13¢
|158.824
!9/4±13¢
|
|-
|-
| |1
|17\16
|163.305-166.555
|159.375
|169.0005-172.2505
|
|173.864-177.114
|-
|-
| |2
|16\15
|326.611-333.111
|160.000
|338.001-344.501
|Thirdtone Phrygian mode ends
|347.7275-354.2275
|-
|-
| |3
|15\14
|489.916-499.666
|160.714
|507.002-516.752
|Semitone Phrygian mode begins
|521.591-531.341
|-
|-
| |4
|14\13
|653.221-666.221
|161.538
|676.002-689.002
|
|695.455-708.455
|-
|-
| |5
|27\25
|816.527-832.777
|162.000
|845.003-861.253
|
|869.319-885.569
|-
|-
| |6
|13\12
|979.832-999.332
|''162.500''
|1014.003-1033.503
|
|1043.1825-1062.6825
|-
|-
| |7
|12\11
|1143.1375-1165.8875
|163.{{Overline|63}}
|1183.004-1205.754
|
|1217.046-1239.796
|}Golden Tunings
Phrygian Mode (natural minor)
{| class="wikitable"
|-
|-
!Degrees
|23\21
!Min-Med-13c
|164.286
!Min-Max-13c
|
!Min-Med
!Min-Max
!Med-Max-13c
!Min-Med+13c
!Min-Max+13c
!Med-Max
!Med-Max+13c
|-
|-
| |1
|11\10
|157.246
|165.000
|157.911
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|158.871
| |159.536
|159.834
|160.496
|161.161
|161.469
|163.084
|-
|-
| |2
|21\19
|314.491
|165.789
|315.822
|
|317.741
| |319.0725
|319.668
|320.991
|322.322
|322.938
|326.168
|-
|-
| |3
|10\9
|471.737
|166.667
|473.734
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|476.612
| |478.609
|479.502
|481.487
|483.484
|484.407
|489.252
|-
|-
| |4
|19\17
|628.982
|167.647
|631.645
|
|635.482
| |638.145
|639.335
|641.982
|644.645
|645.876
|652.336
|-
|-
| |5
|9\8
|786.227
|''168.750''
|789.556
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|794.353
| |797.681
|799.17
|802.478
|805.806
|807.345
|815.42
|-
|-
| |6
|26\23
|943.4735
|169.565
|947.467
|
|953.2235
| |957.317
|959.003
|962.9735
|966.967
|968.814
|978.504
|-
|-
| |7
|17\15
|1100.719
|170.000
|1105.379
|
|1112.094
| |1116.754
|1118.838
|1123.469
|1128.129
|1130.263
|1141.588
|}
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
|8\7
|165.316
|171.429
|166.789
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|166.941
|168.414
|168.566
|170.039
|171.04
|-
|-
| |2
|23\20
|330.633
|172.500
|333.578
|
|333.883
|336.828
|337.133
|340.078
|342.081
|-
|-
| |3
|15\13
|495.949
|173.077
|500.3675
|
|500.824
|505.2425
|505.699
|510.1175
|513.121
|-
|-
| |4
|22\19
|661.265
|173.684
|667.157
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|667.765
|673.658
|674.265
|680.157
|684.161
|-
|-
| |5
|29\25
|826.5815
|174.000
|833.946
|
|834.7065
|842.071
|842.8315
|850.196
|855.202
|-
|-
| |6
|7\6
|991.898
|''175.000''
|1000.735
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|1000.648
|1010.485
|1011.398
|1020.235
|1026.242
|-
|-
| |7
|20\17
|1157.241
|176.471
|1167.524
|
|1168.589
|1178.899
|1179.964
|1190.274
|1197.282
|}Aeolian Mode (melodic/harmonic minor)
{| class="wikitable"
|-
|-
!Degrees
|14\11
!Min-Med-13c
|177.273
!Min-Med
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
!Min-Max
!Min-Med+13c
!Med-Max-13c
!Min-Max+13c
!Med-Max
!Med-Max+13c
|-
|-
| |1
|19\16
|172.429
|178.125
|172.665
|
| |174.054
|174.29
|175.075
|175.679
|176.7
|178.325
|-
|-
| |2
|25\21
|344.857
|178.571
|345.331
|
| |348.107
|348.581
|350.1495
|351.357
|353.3995
|356.3495
|-
|-
| |3
|31\26
|517.286
|178.846
|517.996
|
| |522.161
|522.871
|525.224
|527.036
|530.099
|536.974
|-
|-
| |4
|37\31
|689.7145
|179.032
|690.661
|
| |696.2145
|697.161
|700.299
|702.7145
|706.799
|713.299
|-
|-
| |5
|6\5
|862.143
|180.000
|863.367
|Ultrapyth Intense Aeolian mode ends
| |870.268
|871.452
|875.374
|878.393
|883.499
|891.624
|-
| |6
|1034.572
|1035.992
| |1044.321
|1045.742
|1050.448
|1054.072
|1060.198
|1069.498
|-
| |7
|1207
|1208.657
| |1218.375
|1220.032
|1225.523
|1229.75
|1236.898
|1248.273
|}
|}
[[Category:8-tone]]
[[Category:ed9/4]]
[[Category:edIX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]
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