User:Moremajorthanmajor/8edIX: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
Line 90: Line 90:
| |1260
| |1260
|}
|}
Golden Tunings
Most harmonic tunings
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2"|Degrees
! rowspan="2" |Degrees
! colspan="3" |Phrygian Mode (natural minor)
!Phrygian Mode (natural minor)
! colspan="2" |Phrygian-Aeolian Mode (intermediate minor)
!Phrygian-Aeolian Mode (intermediate minor)
! colspan="3" |Aeolian Mode (melodic/harmonic 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
|1183.004-1205.754
|1217.046-1239.796
|}Golden Tunings
Phrygian Mode (natural minor)
{| class="wikitable"
|-
!Degrees
!Min-Med-13c
!Min-Max-13c
!Min-Med
!Min-Med
!Min-Med
!Min-Max
!Med-Max-13c
!Min-Med+13c
!Min-Max+13c
!Med-Max
!Med-Max
!Med-Max+13c
|-
| |1
|157.246
|157.911
|158.871
| |159.536
|159.834
|160.496
|161.161
|161.469
|163.084
|-
| |2
|314.491
|315.822
|317.741
| |319.0725
|319.668
|320.991
|322.322
|322.938
|326.168
|-
| |3
|471.737
|473.734
|476.612
| |478.609
|479.502
|481.487
|483.484
|484.407
|489.252
|-
| |4
|628.982
|631.645
|635.482
| |638.145
|639.335
|641.982
|644.645
|645.876
|652.336
|-
| |5
|786.227
|789.556
|794.353
| |797.681
|799.17
|802.478
|805.806
|807.345
|815.42
|-
| |6
|943.4735
|947.467
|953.2235
| |957.317
|959.003
|962.9735
|966.967
|968.814
|978.504
|-
| |7
|1100.719
|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
!Min-Med/Min-Max
!Med-Max
!Med-Max
!Min-Med/Min-Max+13c
!Med-Max+13c
!Min-Med-13c (Aeolian)
|-
| |1
|165.316
|166.789
|166.941
|168.414
|168.566
|170.039
|171.04
|-
| |2
|330.633
|333.578
|333.883
|336.828
|337.133
|340.078
|342.081
|-
| |3
|495.949
|500.3675
|500.824
|505.2425
|505.699
|510.1175
|513.121
|-
| |4
|661.265
|667.157
|667.765
|673.658
|674.265
|680.157
|684.161
|-
| |5
|826.5815
|833.946
|834.7065
|842.071
|842.8315
|850.196
|855.202
|-
| |6
|991.898
|1000.735
|1000.648
|1010.485
|1011.398
|1020.235
|1026.242
|-
| |7
|1157.241
|1167.524
|1168.589
|1178.899
|1179.964
|1190.274
|1197.282
|}Aeolian Mode (melodic/harmonic minor)
{| class="wikitable"
|-
!Degrees
!Min-Med-13c
!Min-Med
!Min-Med
!Min-Max
!Min-Max
!Min-Med+13c
!Med-Max-13c
!Min-Max+13c
!Med-Max
!Med-Max
!Med-Max+13c
|-
|-
| |1
| |1
|158.871
|172.429
| |159.536
|161.459
|166.941
|168.414
|172.665
|172.665
| |174.053
| |174.054
|174.29
|175.075
|175.679
|176.7
|176.7
|178.325
|-
|-
| |2
| |2
|317.741
|344.857
| |319.0725
|322.918
|333.883
|336.828
|345.331
|345.331
| |348.107
| |348.107
|348.581
|350.1495
|351.357
|353.3995
|353.3995
|356.3495
|-
|-
| |3
| |3
|476.612
|517.286
| |478.609
|484.377
|500.824
|505.2425
|517.996
|517.996
| |522.161
| |522.161
|522.871
|525.224
|527.036
|530.099
|530.099
|536.974
|-
|-
| |4
| |4
|635.482
|689.7145
| |638.145
|645.836
|667.765
|673.658
|690.661
|690.661
| |696.2145
| |696.2145
|697.161
|700.299
|702.7145
|706.799
|706.799
|713.299
|-
|-
| |5
| |5
|794.353
|862.143
| |797.681
|807.295
|834.7065
|842.071
|863.367
|863.367
| |870.268
| |870.268
|871.452
|875.374
|878.393
|883.499
|883.499
|891.624
|-
|-
| |6
| |6
|953.2235
|1034.572
| |957.317
|968.754
|1000.648
|1010.485
|1035.992
|1035.992
| |1044.321
| |1044.321
|1045.742
|1050.448
|1054.072
|1060.198
|1060.198
|1069.498
|-
|-
| |7
| |7
|1112.094
|1207
| |1116.754
|1130.213
|1168.589
|1178.899
|1208.657
|1208.657
| |1218.375
| |1218.375
|1220.032
|1225.523
|1229.75
|1236.898
|1236.898
|1248.273
|}
|}


Revision as of 04:32, 5 November 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

Most harmonic tunings

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 1183.004-1205.754 1217.046-1239.796

Golden Tunings

Phrygian Mode (natural minor)

Degrees Min-Med-13c Min-Max-13c Min-Med Min-Med Med-Max-13c Min-Med+13c Min-Max+13c Med-Max Med-Max+13c
1 157.246 157.911 158.871 159.536 159.834 160.496 161.161 161.469 163.084
2 314.491 315.822 317.741 319.0725 319.668 320.991 322.322 322.938 326.168
3 471.737 473.734 476.612 478.609 479.502 481.487 483.484 484.407 489.252
4 628.982 631.645 635.482 638.145 639.335 641.982 644.645 645.876 652.336
5 786.227 789.556 794.353 797.681 799.17 802.478 805.806 807.345 815.42
6 943.4735 947.467 953.2235 957.317 959.003 962.9735 966.967 968.814 978.504
7 1100.719 1105.379 1112.094 1116.754 1118.838 1123.469 1128.129 1130.263 1141.588

Phrygian-Aeolian Mode (intermediate minor)

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)
1 165.316 166.789 166.941 168.414 168.566 170.039 171.04
2 330.633 333.578 333.883 336.828 337.133 340.078 342.081
3 495.949 500.3675 500.824 505.2425 505.699 510.1175 513.121
4 661.265 667.157 667.765 673.658 674.265 680.157 684.161
5 826.5815 833.946 834.7065 842.071 842.8315 850.196 855.202
6 991.898 1000.735 1000.648 1010.485 1011.398 1020.235 1026.242
7 1157.241 1167.524 1168.589 1178.899 1179.964 1190.274 1197.282

Aeolian Mode (melodic/harmonic minor)

Degrees Min-Med-13c Min-Med Min-Max Min-Med+13c Med-Max-13c Min-Max+13c Med-Max Med-Max+13c
1 172.429 172.665 174.054 174.29 175.075 175.679 176.7 178.325
2 344.857 345.331 348.107 348.581 350.1495 351.357 353.3995 356.3495
3 517.286 517.996 522.161 522.871 525.224 527.036 530.099 536.974
4 689.7145 690.661 696.2145 697.161 700.299 702.7145 706.799 713.299
5 862.143 863.367 870.268 871.452 875.374 878.393 883.499 891.624
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
Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/8edIX&oldid=38358"