User:Moremajorthanmajor/8edIX: Difference between revisions

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Line 5: Line 5:
|-
|-
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="4" |Soft Phrygian
! colspan="3" |Soft Phrygian
! colspan="8" |Phrygian
! colspan="6" |Phrygian
|-
|-
! rowspan="2" |Minimum
! rowspan="2" |Minimum
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2" |31/15±13¢
! rowspan="2" |Maximum
! rowspan="2" |Maximum
! colspan="4" |Thirdtone
! colspan="3" |Thirdtone
! colspan="4" |Semitone
! colspan="3" |Semitone
|-
|-
!Minimum
!Minimum
!Median
!Median
!23/11-21/10±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Median
!Median
!15/7±13¢
!Maximum
!Maximum
|-
|-
Line 27: Line 24:
|''150''
|''150''
|156.818
|156.818
|155.471-158.721
| colspan="2" |157.143
| colspan="2" |157.143
|158.333-158.571
|158.333-158.571
|157.995-162.183
| colspan="2" |160-160.714
| colspan="2" |160-160.714
|162-''162.5''
|162-''162.5''
|163.305-166.555
|165
|165
|-
|-
Line 39: Line 33:
|''300''
|''300''
|313.636
|313.636
|310.942-317.442
| colspan="2" |314.286
| colspan="2" |314.286
|316.667-317.143
|316.667-317.143
|315.99-324.367
| colspan="2" |320-321.429
| colspan="2" |320-321.429
|324-''325''
|324-''325''
|326.611-333.111
|330
|330
|-
|-
Line 51: Line 42:
|''450''
|''450''
|470.4545
|470.4545
|466.413-474.163
| colspan="2" |471.429
| colspan="2" |471.429
|475-475.714
|475-475.714
|473.985-486.55
| colspan="2" |480-482.143
| colspan="2" |480-482.143
|486-''487.5''
|486-''487.5''
|489.916-499.666
|495
|495
|-
|-
Line 63: Line 51:
|''600''
|''600''
|627.273
|627.273
|621.883-634.883
| colspan="2" |628.571
| colspan="2" |628.571
|633.333-634.286
|633.333-634.286
|631.98-648.734
| colspan="2" |640-642.857
| colspan="2" |640-642.857
|648-''650''
|648-''650''
|653.224-666.221
|660
|660
|-
|-
Line 75: Line 60:
|''750''
|''750''
|784.091
|784.091
|777.354-891.604
| colspan="2" |785.714
| colspan="2" |785.714
|791.667-792.857
|791.667-792.857
|789.973-810.917
| colspan="2" |800-803.571
| colspan="2" |800-803.571
|810-''812.5''
|810-''812.5''
|816.527-832.777
|825
|825
|-
|-
Line 87: Line 69:
|''900''
|''900''
|940.909
|940.909
|932.825-952.325
| colspan="2" |942.857
| colspan="2" |942.857
|950-951.429
|950-951.429
|947.967-973.1
| colspan="2" |960-964.286
| colspan="2" |960-964.286
|972-''975''
|972-''975''
|979.832-999.332
|990
|990
|-
|-
Line 99: Line 78:
|''1050''
|''1050''
|1097.727
|1097.727
|1089.296-1112.046
| colspan="2" |1100
| colspan="2" |1100
|1108.333-1110
|1108.333-1110
|1105.962-1135.284
| colspan="2" |1120-1125
| colspan="2" |1120-1125
|1134-''1137.5''
|1134-''1137.5''
|1143.1375-1165.8875
|1155
|1155
|}
|}
Line 111: Line 87:
|-
|-
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="4" |Intense Phrygian
! colspan="3" |Intense Phrygian
! colspan="4" |Intense Phrygian-Soft Aeolian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="5" |Soft Aeolian
! colspan="4" |Soft Aeolian
|-
|-
!Minimum
!Minimum
!Median
!Median
!54/25±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!13/6±13¢
!Median
!Median
!Maximum
!Maximum
!Minimum
!Minimum
!24/11±13¢
!Median
!Median
!11/5±13¢
!11/5±13¢
Line 132: Line 105:
|165
|165
|165.7895
|165.7895
|165.03-168.28
| colspan="2" |166.667
| colspan="2" |166.667
|165.697-169.447
|167.647
|167.647
| colspan="2" |''168.75''
| colspan="2" |''168.75''
|167.205-170.455
|170
|170
|169.0005-172.2505
|169.0005-172.2505
Line 145: Line 115:
|330
|330
|331.579
|331.579
|330.059-336.559
| colspan="2" |333.333
| colspan="2" |333.333
|331.393-337.893
|335.294
|335.294
| colspan="2" |''337.5''
| colspan="2" |''337.5''
|334.409-340.909
|340
|340
|338.001-344.501
|338.001-344.501
Line 158: Line 125:
|495
|495
|497.368
|497.368
|495.089-504.839
| colspan="2" |500
| colspan="2" |500
|497.09-506.84
|502.941
|502.941
| colspan="2" |''506.25''
| colspan="2" |''506.25''
|501.614-511.344
|510
|510
|507.002-516.752
|507.002-516.752
Line 171: Line 135:
|660
|660
|663.158
|663.158
|660.119-673.119
| colspan="2" |666.667
| colspan="2" |666.667
|662.727-675.727
|670.588
|670.588
| colspan="2" |''675''
| colspan="2" |''675''
|668.8185-681.8185
|680
|680
|676.002-689.002
|676.002-689.002
Line 184: Line 145:
|825
|825
|828.947
|828.947
|825.1485-841.3985
| colspan="2" |833.333
| colspan="2" |833.333
|828.482-844.1732
|838.235
|838.235
| colspan="2" |''843.75''
| colspan="2" |''843.75''
|836.023-852.273
|850
|850
|845.003-861.253
|845.003-861.253
Line 197: Line 155:
|990
|990
|994.737
|994.737
|990.178-1009.678
| colspan="2" |1000
| colspan="2" |1000
|994.1795-1013.6795
|1005.882
|1005.882
| colspan="2" |''1012.5''
| colspan="2" |''1012.5''
|1003.227-1022.777.
|1020
|1020
|1014.003-1033.503
|1014.003-1033.503
Line 210: Line 165:
|1155
|1155
|1160.526
|1160.526
|1155.208-1177.978
| colspan="2" |1166.667
| colspan="2" |1166.667
|1159.876-1182.626
|1173.529
|1173.529
| colspan="2" |''1081.25''
| colspan="2" |''1081.25''
|1170.432-1193.182
|1190
|1190
|1183.004-1205.754
|1183.004-1205.754
Line 438: Line 390:
!Med-Max
!Med-Max
!Min-Med/Min-Max
!Min-Med/Min-Max
!Med-Max±13¢
!Med-Max
|-
|-
|1
|1
Line 498: Line 450:
{| class="wikitable"
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="5" |Aeolian
! colspan="4" |Aeolian
! colspan="5" |Intense Aeolian
! colspan="4" |Intense Aeolian
|-
|-
! colspan="3" |Flattone
! colspan="2" |Flattone
! colspan="2" |Meantone
! colspan="2" |Meantone
! colspan="2" |Superpyth
! colspan="2" |Superpyth
! colspan="3" |Ultrapyth
! colspan="2" |Ultrapyth
|-
|-
!Min-Med
!Min-Med
!Min-Max
!Med-Max~Min-Max
!Med-Max
!Min-Med/Min-Max
!Min-Med/Min-Max
!Med-Max
!Med-Max
!Min-Med
!Min-Med
!Min-Max/Med-Max
!Min-Max/Med-Max
!Min-Med
!Min-Med/Min-Max
!Min-Max
!Med-Max
!Med-Max
|-
|-
|1
|1
|171.1755-174.4255
|171.04-174.29
|173.077
|171.879-175.131
|173.684
|172.274-175.524
|
|172.504-175.754
|175
|174.582-177.832
|
|175.074-178.324
|176.471
|176.246-179.495
|
|176.8035-180.0535
|178.125
|180
|-
|-
|2
|2
|342.351-348.851
|342.081-348.581
|346.154
|343.7575-350.2625
|347.368
|344.548-351.048
|
|345.008-351.508
|350
|349.1645-355.6645
|
|350.149-356.649
|352.941
|352.492-358.992
|
|353.607-360.107
|356.25
|360
|-
|-
|3
|3
|513.526-523.276
|513.121-522.871
|519.231
|515.636-525.394
|521.053
|516.822-526.572
|
|517.5125-527.2625
|525
|523.747-533.497
|
|525.224-534.974
|529.412
|528.738-538.488
|
|530.4105-540.1605
|534.375
|540
|-
|-
|4
|4
|684.702-697.702
|684.161-697.161
|692.308
|687.515-700.525
|694.737
|689.096-702.096
|
|690.017-703.017
|700
|698.329-711.329
|
|700.299-713.299
|705.882
|704.983-717.983
|
|707.214-720.214
|712.5
|720
|-
|-
|5
|5
|855.877-872.127
|855.202-871.472
|865.385
|859.394-868.656
|868.421
|861.37-877.62
|
|862.521-878.771
|875
|872.911-889.161
|
|875.373-890.623
|882.353
|881.229-897.479
|
|884.018-900.268
|890.625
|900
|-
|-
|6
|6
|1027.053-1046.553
|1026.242-1045.742
|1038.4615
|1031.272-1050.7875
|1042.105
|1033.6445-1053.1445
|
|1035.025-1054.525
|1050
|1047.4935-1066.9935
|
|1050.448-1069.998
|1058.8235
|1057.475-1076.975
|
|1060.821-1080.321
|1068.75
|1080
|-
|-
|7
|7
|1198.228-1220.978
|1197.282-1220.032
|1211.5385
|1203.151-1225.919
|1215.7895
|1205.9185-1228.6685
|
|1207.529-1230.279
|1225
|1222.076-1244.826
|
|1225.523-1248.273
|1235.294
|1233.721-1256.471
|
|1237.625-1260.375
|1246.875
|1260
|}
|}
[[Category:8-tone]]
[[Category:8-tone]]

Revision as of 02:34, 17 February 2019

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

Intervals

Degrees Soft Phrygian Phrygian
Minimum Median Maximum Thirdtone Semitone
Minimum Median Maximum Minimum Median Maximum
1 150 156.818 157.143 158.333-158.571 160-160.714 162-162.5 165
2 300 313.636 314.286 316.667-317.143 320-321.429 324-325 330
3 450 470.4545 471.429 475-475.714 480-482.143 486-487.5 495
4 600 627.273 628.571 633.333-634.286 640-642.857 648-650 660
5 750 784.091 785.714 791.667-792.857 800-803.571 810-812.5 825
6 900 940.909 942.857 950-951.429 960-964.286 972-975 990
7 1050 1097.727 1100 1108.333-1110 1120-1125 1134-1137.5 1155
Degrees Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum Median Maximum Minimum Median Maximum Minimum Median 11/5±13¢ Maximum
1 165 165.7895 166.667 167.647 168.75 170 169.0005-172.2505 171.429
2 330 331.579 333.333 335.294 337.5 340 338.001-344.501 342.857
3 495 497.368 500 502.941 506.25 510 507.002-516.752 514.286
4 660 663.158 666.667 670.588 675 680 676.002-689.002 685.714
5 825 828.947 833.333 838.235 843.75 850 845.003-861.253 857.143
6 990 994.737 1000 1005.882 1012.5 1020 1014.003-1033.503 1028.571
7 1155 1160.526 1166.667 1173.529 1081.25 1190 1183.004-1205.754 1200
Degrees Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum 20/9±13¢ Median Maximum Minimum Median 38/17±13¢ Maximum Minimum 9/4±13¢ Median Maximum Minimum Median 16/7±13¢ Maximum
1 171.429 171.1755-174.4255 173.077 173.684 174 172.445-175.695 175 173.864-177.114 176.471 177.273 178.125 177.272-180.522 180
2 342.857 342.351-348.851 346.154 347.368 348 344.889-351.389 350 347.7275-354.2275 352.941 354.5455 356.25 354.5435-361.0435 360
3 514.286 513.526-523.276 519.231 521.053 522 517.334-527.084 525 521.591-531.341 529.412 531.818 534.375 531.815-541.565 540
4 685.714 684.702-697.702 692.308 694.737 696 689.779-702.779 700 695.455-708.455 705.882 709.091 712.5 709.087-722.087 720
5 857.143 855.877-872.127 865.385 868.421 870 862.2235-878.4735 875 869.319-885.569 882.353 886.364 890.625 886.359-902.609 900
6 1028.571 1027.053-1046.553 1038.4615 1042.105 1044 1034.668-1054.168 1050 1043.1825-1062.6825 1058.8235 1063.636 1068.75 1063.631-1083.131 1080
7 1200 1198.228-1220.978 1211.5385 1215.7895 1218 1207.113-1229.863 1225 1217.046-1239.796 1235.294 1240.909 1246.875 1240.902-1263.652 1260

Golden/Pyrite Tunings±13¢

Degrees Soft Phrygian Phrygian
Min-Med Min-Max/Med-Max Thirdtone Semitone
Min-Med/Min-Max Med-Max Min-Med/Min-Max±13¢ Med-Max±13¢
1 155.007-158.257 155.314-158.564 155.93-159.81 157.275-160.621 159.833-163.652 160.97-164.975
2 310.014-316.514 310.627-317.127 311.86-319.62 314.55-321.242 319.668-327.304 321.939-329.95
3 465.021-474.771 465.941-475.691 467.79-497.43 471.825-481.8635 479.502-490.955 482.909-494.925
4 620.0275-633.0275 621.253-634.253 623.7205-639.24 629.1-642.485 639.335-654.335 643.879-659.8995
5 775.034-791.284 778.568-792.818 779.651-799.05 786.375-803.106 799.17-818.259 804.848-824.874
6 930.041-949.541 931.882-951.382 935.581-958.86 943.6495-963.727 959.004-981.911 965.818-989.849
7 1085.048-1107.798 1087.196-1109.946 1091.511-1118.67 1100.924-1124.348 1118.838-1145.563 1126.7875-1154.824
Degrees Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max
1 163.971-167.221 164.363-167.613 165.78-169.03 166.271-169.521 168.065-171.315 168.695-171.945
2 327.941-334.441 328.726-335.226 331.561-338.061 332.541-339.041 336.13-345.63 337.39-343.895
3 491.912-501.662 493.089-502.839 497.341-507.091 498.812-508.562 504.195-513.945 506.084-515.834
4 655.883-668.883 657.4525-670.4525 663.121-676.121 665.082-678.082 672.2605-685.2605 674.779-687.779
5 819.8535-836.1035 821.816-838.065 828.902-845.152 831.353-847.603 840.362-856.567 843.474-859.724
6 983.824-1003.324 986.178-1005.678 994.682-1014.182 997.623-1017.123 1108.391-1027.891. 1012.169-1031.669
7 1147.795-1170.545 1150.542-1173.292 1160.4625-1183.2125 1163.894-1186.644 1176.456-1199.206 1180.8635-1203.6135
Degrees Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Min-Med Med-Max~Min-Max Min-Med/Min-Max Med-Max Min-Med Min-Max/Med-Max Min-Med/Min-Max Med-Max
1 171.04-174.29 171.879-175.131 172.274-175.524 172.504-175.754 174.582-177.832 175.074-178.324 176.246-179.495 176.8035-180.0535
2 342.081-348.581 343.7575-350.2625 344.548-351.048 345.008-351.508 349.1645-355.6645 350.149-356.649 352.492-358.992 353.607-360.107
3 513.121-522.871 515.636-525.394 516.822-526.572 517.5125-527.2625 523.747-533.497 525.224-534.974 528.738-538.488 530.4105-540.1605
4 684.161-697.161 687.515-700.525 689.096-702.096 690.017-703.017 698.329-711.329 700.299-713.299 704.983-717.983 707.214-720.214
5 855.202-871.472 859.394-868.656 861.37-877.62 862.521-878.771 872.911-889.161 875.373-890.623 881.229-897.479 884.018-900.268
6 1026.242-1045.742 1031.272-1050.7875 1033.6445-1053.1445 1035.025-1054.525 1047.4935-1066.9935 1050.448-1069.998 1057.475-1076.975 1060.821-1080.321
7 1197.282-1220.032 1203.151-1225.919 1205.9185-1228.6685 1207.529-1230.279 1222.076-1244.826 1225.523-1248.273 1233.721-1256.471 1237.625-1260.375
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