User:Moremajorthanmajor/8edIX: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="4" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="3" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="2" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
! colspan="3" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
|-
|-
!Absolute Minimum
!Absolute Minimum
! |Minimum
! |Minimum
!Median
! |Maximum
! |Maximum
! |Minimum
! |Minimum
!Median
! |Maximum
! |Maximum
!Minimum
!Minimum
!Median
! |Maximum
! |Maximum
|-
|-
| |1
| |1
|150
|150
|156
|158.571
|160
| colspan="2" |165
| colspan="2" |165
|167.647
| colspan="2" |171.429
| colspan="2" |171.429
|175
| |180
| |180
|-
|-
| |2
| |2
|300
|300
|312
|317.143
|320
| colspan="2" |330
| colspan="2" |330
|335.294
| colspan="2" |342.857
| colspan="2" |342.857
|350
| |360
| |360
|-
|-
| |3
| |3
|450
|450
|468
|475.714
|480
| colspan="2" |495
| colspan="2" |495
|502.941
| colspan="2" |514.286
| colspan="2" |514.286
|525
| |540
| |540
|-
|-
| |4
| |4
|600
|600
|624
|634.286
|640
| colspan="2" |660
| colspan="2" |660
|670.588
| colspan="2" |685.714
| colspan="2" |685.714
|700
| |720
| |720
|-
|-
| |5
| |5
|750
|750
|780
|792.857
|800
| colspan="2" |825
| colspan="2" |825
|838.235
| colspan="2" |857.143
| colspan="2" |857.143
|875
| |900
| |900
|-
|-
| |6
| |6
|900
|900
|936
|951.429
|960
| colspan="2" |990
| colspan="2" |990
|1005.882
| colspan="2" |1028.571
| colspan="2" |1028.571
|1050
| |1080
| |1080
|-
|-
| |7
| |7
|1050
|1050
|1092
|1110
|1120
| colspan="2" |1155
| colspan="2" |1155
|1173.529
| colspan="2" |1200
| colspan="2" |1200
|1225
| |1260
| |1260
|}
|}
Line 69: Line 93:
{| class="wikitable"
{| class="wikitable"
|-
|-
! |Degrees
! rowspan="2"|Degrees
! |Phrygian Mode (natural minor)
! colspan="3" |Phrygian Mode (natural minor)
! |Phrygian-Aeolian Mode (intermediate minor)
! colspan="2" |Phrygian-Aeolian Mode (intermediate minor)
! |Aeolian Mode (melodic/harmonic minor)
! colspan="3" |Aeolian Mode (melodic/harmonic minor)
|-
!Min-Med
!Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
!Min-Med
!Min-Max
!Med-Max
|-
|-
| |1
| |1
| |164.127
|158.871
| |166.941
| |159.536
|161.459
|166.941
|168.414
|172.665
| |174.053
| |174.053
|176.7
|-
|-
| |2
| |2
| |328.254
|317.741
| |333.883
| |319.0725
|322.918
|333.883
|336.828
|345.331
| |348.107
| |348.107
|353.3995
|-
|-
| |3
| |3
| |492.381
|476.612
| |500.824
| |478.609
|484.377
|500.824
|505.2425
|517.996
| |522.161
| |522.161
|530.099
|-
|-
| |4
| |4
| |656.508
|635.482
| |667.765
| |638.145
|645.836
|667.765
|673.658
|690.661
| |696.2145
| |696.2145
|706.799
|-
|-
| |5
| |5
| |820.6345
|794.353
| |834.7065
| |797.681
|807.295
|834.7065
|842.071
|863.367
| |870.268
| |870.268
|883.499
|-
|-
| |6
| |6
| |984.7615
|953.2235
| |1000.648
| |957.317
|968.754
|1000.648
|1010.485
|1035.992
| |1044.321
| |1044.321
|1060.198
|-
|-
| |7
| |7
| |1148.888
|1112.094
| |1168.589
| |1116.754
|1130.213
|1168.589
|1178.899
|1208.657
| |1218.375
| |1218.375
|1236.898
|}
|}


Revision as of 15:57, 26 October 2018

This Long Common Practice minor mode is the neutral scale of the Napoli temperament family.

Intervals

Degrees Phrygian Mode (aka Double) Neapolitan Temperament (natural minor) Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor) Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
Absolute Minimum Minimum Median Maximum Minimum Median Maximum Minimum Median Maximum
1 150 158.571 160 165 167.647 171.429 175 180
2 300 317.143 320 330 335.294 342.857 350 360
3 450 475.714 480 495 502.941 514.286 525 540
4 600 634.286 640 660 670.588 685.714 700 720
5 750 792.857 800 825 838.235 857.143 875 900
6 900 951.429 960 990 1005.882 1028.571 1050 1080
7 1050 1110 1120 1155 1173.529 1200 1225 1260

Golden Tunings

Degrees Phrygian Mode (natural minor) Phrygian-Aeolian Mode (intermediate minor) Aeolian Mode (melodic/harmonic minor)
Min-Med Min-Max Med-Max Min-Med/Min-Max Med-Max Min-Med Min-Max Med-Max
1 158.871 159.536 161.459 166.941 168.414 172.665 174.053 176.7
2 317.741 319.0725 322.918 333.883 336.828 345.331 348.107 353.3995
3 476.612 478.609 484.377 500.824 505.2425 517.996 522.161 530.099
4 635.482 638.145 645.836 667.765 673.658 690.661 696.2145 706.799
5 794.353 797.681 807.295 834.7065 842.071 863.367 870.268 883.499
6 953.2235 957.317 968.754 1000.648 1010.485 1035.992 1044.321 1060.198
7 1112.094 1116.754 1130.213 1168.589 1178.899 1208.657 1218.375 1236.898
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