User:Moremajorthanmajor/8edIX: Difference between revisions

No edit summary
No edit summary
Line 1: Line 1:
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 temperament family in Long Common Practice .


==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
|-
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="4" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="5" |Soft Phrygian
! colspan="9" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="11" |Phrygian
! colspan="3" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
|-
|-
! rowspan="2" |Absolute Minimum
!  rowspan="2"|Minimum
! rowspan="2" |Median
!  rowspan="2"|Maximum
!  colspan="3"|Intense Phrygian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Soft Aeolian
! rowspan="2" |Minimum
! rowspan="2" |Minimum
! rowspan="2" |Min-Med±13¢
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2"|Maximum
! rowspan="2" |Min-Max/Med-Max±13¢
! rowspan="2" |Maximum
! colspan="5" |Thirdtone
! colspan="6" |Semitone
|-
|-
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Maximum
!Med-Max±13¢
!Minimum
!15/7±13¢
!Median
!Maximum
!Maximum
|-
|-
| |1
|1
|150
|150
|158.571
!155.007-158.257
|160
!156.818
| colspan="2" |165
!155.314-158.564
|165.7895
! colspan="2" |157.143
| colspan="2" |166.667
!155.93-159.81
|167.647
!158.333-158.571
| colspan="2" |168.75
!157.275-160.621
|170
! colspan="2" |160-160.714
| colspan="2" |171.429
!159.833-163.652
|175
!162-162.5
| |180
!160.97-164.975
|163.305-166.555
|165
|-
|-
| |2
|2
|300
|300
|317.143
!310.014-316.514
|320
!313.636
| colspan="2" |330
!310.627-317.127
|331.579
! colspan="2" |314.286
| colspan="2" |333.333
!311.86-319.62
|335.294
!316.667-317.143
| colspan="2" |337.5
!314.55-321.242
|340
! colspan="2" |320-321.429
| colspan="2" |342.857
!319.668-327.304
|350
!324-325
| |360
!321.939-329.95
|326.611-333.111
|330
|-
|-
| |3
|3
|450
|450
|475.714
!465.021-474.771
|480
!470.4545
| colspan="2" |495
!465.941-475.691
|497.368
! colspan="2" |471.429
| colspan="2" |500
!467.79-497.43
|502.941
!475-475.714
| colspan="2" |506.25
!471.825-481.8635
|510
! colspan="2" |480-482.143
| colspan="2" |514.286
!479.502-490.955
|525
!486-487.5
| |540
!482.909-494.925
|489.916-499.666
|495
|-
|-
| |4
|4
|600
|600
|634.286
|620.0275-633.0275
|640
!627.273
| colspan="2" |660
|621.253-634.253
|663.158
! colspan="2" |628.571
| colspan="2" |666.667
|623.7205-639.24
|670.588
|633.333-634.286
| colspan="2" |675
!629.1-642.485
|680
! colspan="2" |640-642.857
| colspan="2" |685.714
|639.335-654.335
|700
!648-650
| |720
|643.879-659.8995
|653.224-666.221
|660
|-
|-
| |5
|5
|750
|750
|792.857
!775.034-791.284
|800
!784.091
| colspan="2" |825
!778.568-792.818
|828.947
! colspan="2" |785.714
| colspan="2" |833.333
!779.651-799.05
|838.235
!791.667-792.857
| colspan="2" |843.75
!786.375-803.106
|850
! colspan="2" |800-803.571
| colspan="2" |857.143
!799.17-818.259
|875
!810-812.5
| |900
!804.848-8242.874
|816.527-832.777
|825
|-
|-
| |6
|6
|900
|900
|951.429
!930.041-949.541
|960
!940.909
| colspan="2" |990
!931.882-951.382
|994.737
! colspan="2" |942.857
| colspan="2" |1000
!935.581-958.86
|1005.882
!950-951.429
| colspan="2" |1012.5
!943.6495-963.727
|1020
! colspan="2" |960-964.286
| colspan="2" |1028.571
!959.004-981.911
|1050
!972-975
| |1080
!965.818-989.849
|979.832-999.332
|990
|-
|-
| |7
|7
|1050
|1050
|1110
!1085.048-1107.798
|1120
!1097.727
| colspan="2" |1155
!1087.196-1109.946
|1160.526
! colspan="2" |1100
| colspan="2" |1166.667
!1091.511-1118.67
|1173.529
!1108.333-1110
| colspan="2" |1081.25
!1100.924-1124.348
|1190
! colspan="2" |1120-1125
| colspan="2" |1200
!1118.838-1145.563
|1225
!1134-1137.5
| |1260
!1126.7875-1154.824
|}
Most harmonic tunings
{| class="wikitable"
|-
! rowspan="2" |Degrees
!Phrygian Mode (natural minor)
!Phrygian-Aeolian Mode (intermediate minor)
!Aeolian Mode (melodic/harmonic minor)
|-
!15/7±13¢
!11/5±13¢
!9/4±13¢
|-
| |1
|163.305-166.555
|169.0005-172.2505
|173.864-177.114
|-
| |2
|326.611-333.111
|338.001-344.501
|347.7275-354.2275
|-
| |3
|489.916-499.666
|507.002-516.752
|521.591-531.341
|-
| |4
|653.221-666.221
|676.002-689.002
|695.455-708.455
|-
| |5
|816.527-832.777
|845.003-861.253
|869.319-885.569
|-
| |6
|979.832-999.332
|1014.003-1033.503
|1043.1825-1062.6825
|-
| |7
|1143.1375-1165.8875
|1143.1375-1165.8875
|1183.004-1205.754
|1155
|1217.046-1239.796
|}Golden Tunings
Phrygian Mode (natural minor)
{| class="wikitable"
|-
!Degrees
! |Min-Med±13¢
!Min-Max±13¢
! |Med-Max±13¢
|-
| |1
|157.246-160.496
|157.911-161.161
|159.834-163.084
|-
| |2
|314.491-320.991
|315.822-322.322
|319.668-326.168
|-
| |3
|471.737-481.487
|473.734-483.484
|479.502-489.252
|-
| |4
|628.982-641.982
|631.645-644.645
|639.335-652.336
|-
| |5
|786.227-802.478
|789.556-805.806
|799.17-815.42
|-
| |6
|943.4735-962.9735
|947.467-966.967
|959.003-978.504
|-
| |7
|1100.719-1123.469
|1105.379-1128.129
|1118.838-1141.588
|}
|}
Phrygian-Aeolian Mode (intermediate minor)
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="2"|Intense Phrygian  
! colspan="5" |Intense Phrygian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="2" |Soft Aeolian  
! colspan="6" |Soft Aeolian
|-
|-
!Minimum
!Min-Med/Min-Max±13¢
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Med-Max±13¢
!Maximum
!Minimum
!Min-Med/Min-Max±13¢
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Med-Max±13¢
!Maximum
!Minimum
!Min-Med/Min-Max±13¢
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Med-Max±13¢
!11/5±13¢
!Maximum
|-
|-
| |1
|1
|165
|163.971-167.221
|163.971-167.221
|165.7895
|164.363-167.613
|164.363-167.613
| colspan="2" |166.667
|165.78-169.03
|165.78-169.03
|167.647
|166.271-169.521
|166.271-169.521
| colspan="2" |168.75
|168.065-171.315
|168.065-171.315
|170
|168.695-171.945
|168.695-171.945
|169.0005-172.2505
|171.429
|-
|-
| |2
|2
|330
|327.941-334.441
|327.941-334.441
|331.579
|328.726-335.226
|328.726-335.226
| colspan="2" |333.333
|331.561-338.061
|331.561-338.061
|335.294
|332.541-339.041
|332.541-339.041
| colspan="2" |337.5
|336.13-345.63
|336.13-345.63
|340
|337.39-343.895
|337.39-343.895
|338.001-344.501
|342.857
|-
|-
| |3
|3
|495
|491.912-501.662
|491.912-501.662
|497.368
|493.089-502.839
|493.089-502.839
| colspan="2" |500
|497.341-507.091
|497.341-507.091
|502.941
|498.812-508.562
|498.812-508.562
| colspan="2" |506.25
|504.195-513.945
|504.195-513.945
|510
|506.084-515.834
|506.084-515.834
|507.002-516.752
|514.286
|-
|-
| |4
|4
|660
|655.883-668.883
|655.883-668.883
|663.158
|657.4525-670.4525
|657.4525-670.4525
| colspan="2" |666.667
|663.121-676.121
|663.121-676.121
|670.588
|665.082-678.082
|665.082-678.082
| colspan="2" |675
|672.2605-685.2605
|672.2605-685.2605
|680
|674.779-687.779
|674.779-687.779
|676.002-689.002
|685.714
|-
|-
| |5
|5
|825
|819.8535-836.1035
|819.8535-836.1035
|828.947
|821.816-838.065
|821.816-838.065
| colspan="2" |833.333
|828.902-845.152
|828.902-845.152
|838.235
|831.353-847.603
|831.353-847.603
| colspan="2" |843.75
|840.362-856.567
|840.362-856.567
|850
|843.474-859.724
|843.474-859.724
|845.003-861.253
|857.143
|-
|-
| |6
|6
|990
|983.824-1003.324
|983.824-1003.324
|994.737
|986.178-1005.678
|986.178-1005.678
| colspan="2" |1000
|994.682-1014.182
|994.682-1014.182
|1005.882
|997.623-1017.123
|997.623-1017.123
| colspan="2" |1012.5
|1108.391-1027.891.
|1108.391-1027.891.
|1020
|1012.169-1031.669
|1012.169-1031.669
|1014.003-1033.503
|1028.571
|-
|-
| |7
|7
|1155
|1147.795-1170.545
|1147.795-1170.545
|1160.526
|1150.542-1173.292
|1150.542-1173.292
| colspan="2" |1166.667
|1160.4625-1183.2125
|1160.4625-1183.2125
|1173.529
|1163.894-1186.644
|1163.894-1186.644
| colspan="2" |1081.25
|1176.456-1199.206
|1176.456-1199.206
|1190
|1180.8635-1203.6135
|1180.8635-1203.6135
|}Aeolian Mode (melodic/harmonic minor)
|1183.004-1205.754
|1200
|}
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! colspan="5" |Aeolian
! colspan="6" |Intense Aeolian
|-
|-
!Degrees
!Minimum
!Min-Med±13¢
!Min-Med/Min-Max±13¢
!Min-Max±13¢
!Median
! |Med-Max±13¢
!Med-Max±13¢
!Maximum
!Minimum
!9/4±13¢
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Maximum
|-
|-
| |1
|1
|171.429
|171.04-174.29
|171.04-174.29
|172.429-175.679
!173.077
| |175.075-178.325
!171.879-175.129
| colspan="2" |175
|173.864-177.114
|175.075-178.325
!177.273
!176.246-179.496
|180
|-
|-
| |2
|2
|342.857
|342.081-348.581
|342.081-348.581
|344.857-351.357
!346.154
| |350.1495-356.3495
!343.7575-350.2575
| colspan="2" |350
|347.7275-354.2275
|350.1495-356.3495
!354.5455
!352.492-358.992
|360
|-
|-
| |3
|3
|514.286
|513.121-522.871
|513.121-522.871
|517.286-527.036
!519.231
| |525.224-536.974
!515.636-525.386
| colspan="2" |525
|521.591-531.341
|525.224-536.974
!531.818
!528.738-538.488
|540
|-
|-
| |4
|4
|684.661-697.161
|685.714
|689.7145-702.7145
|684.161-697.161
| |700.299-713.299
|692.308
|687.515-700.515
| colspan="2" |700
|695.455-708.455
|700.299-713.299
!709.091
|704.983-717.983
|720
|-
|-
| |5
|5
|857.143
|855.202-871.452
|855.202-871.452
|862.143-878.393
!865.385
| |875.374-891.624
!859.394-875.644
| colspan="2" |875
|869.319-885.569
|875.374-891.624
!886.364
!881.229-897.479
|900
|-
|-
| |6
|6
|1028.571
|1026.242-1045.742
|1026.242-1045.742
|1028.572-1054.072
!1038.4615
| |1050.448-1069.948
!1031.272-1050.772
| colspan="2" |1050
|1043.1825-1062.6825
|1050.448-1069.948
!1063.636
!1057.475-1076.975
|1080
|-
|-
| |7
|7
|1200
|1197.282-1220.032
|1197.282-1220.032
|1207-1229.75
!1211.5385
| |1225.523-1248.273
!1203.151-1225.901
| colspan="2" |1225
|1217.046-1239.796
|1225.523-1248.273
!1240.909
!1233.721-1256.471
|1260
|}
|}
[[Category:8-tone]]
[[Category:8-tone]]