User:Moremajorthanmajor/8edIX: Difference between revisions

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Line 5: Line 5:
|-
|-
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="5" |Soft Phrygian
! colspan="4" |Soft Phrygian
! colspan="11" |Phrygian
! colspan="8" |Phrygian
|-
|-
! rowspan="2" |Minimum
! rowspan="2" |Minimum
! rowspan="2" |Min-Med±13¢
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2" |Min-Max/Med-Max±13¢
! rowspan="2" |31/15±13¢
! rowspan="2" |Maximum
! rowspan="2" |Maximum
! colspan="5" |Thirdtone
! colspan="4" |Thirdtone
! colspan="6" |Semitone
! colspan="4" |Semitone
|-
|-
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!23/11-21/10±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!15/7±13¢
!15/7±13¢
!Maximum
!Maximum
Line 30: Line 26:
|1
|1
|''150''
|''150''
|155.007-158.257
|156.818
|156.818
|155.314-158.564
|155.471-158.721
| colspan="2" |157.143
| colspan="2" |157.143
|155.93-159.81
|158.333-158.571
|158.333-158.571
|157.275-160.621
|157.995-162.183
| colspan="2" |160-160.714
| colspan="2" |160-160.714
|159.833-163.652
|162-''162.5''
|162-''162.5''
|160.97-164.975
|163.305-166.555
|163.305-166.555
|165
|165
Line 46: Line 38:
|2
|2
|''300''
|''300''
|310.014-316.514
|313.636
|313.636
|310.627-317.127
|310.942-317.442
| colspan="2" |314.286
| colspan="2" |314.286
|311.86-319.62
|316.667-317.143
|316.667-317.143
|314.55-321.242
|315.99-324.367
| colspan="2" |320-321.429
| colspan="2" |320-321.429
|319.668-327.304
|324-''325''
|324-''325''
|321.939-329.95
|326.611-333.111
|326.611-333.111
|330
|330
Line 62: Line 50:
|3
|3
|''450''
|''450''
|465.021-474.771
|470.4545
|470.4545
|465.941-475.691
|466.413-474.163
| colspan="2" |471.429
| colspan="2" |471.429
|467.79-497.43
|475-475.714
|475-475.714
|471.825-481.8635
|473.985-486.55
| colspan="2" |480-482.143
| colspan="2" |480-482.143
|479.502-490.955
|486-''487.5''
|486-''487.5''
|482.909-494.925
|489.916-499.666
|489.916-499.666
|495
|495
Line 78: Line 62:
|4
|4
|''600''
|''600''
|620.0275-633.0275
|627.273
|627.273
|621.253-634.253
|621.883-634.883
| colspan="2" |628.571
| colspan="2" |628.571
|623.7205-639.24
|633.333-634.286
|633.333-634.286
|629.1-642.485
|631.98-648.734
| colspan="2" |640-642.857
| colspan="2" |640-642.857
|639.335-654.335
|648-''650''
|648-''650''
|643.879-659.8995
|653.224-666.221
|653.224-666.221
|660
|660
Line 94: Line 74:
|5
|5
|''750''
|''750''
|775.034-791.284
|784.091
|784.091
|778.568-792.818
|777.354-891.604
| colspan="2" |785.714
| colspan="2" |785.714
|779.651-799.05
|791.667-792.857
|791.667-792.857
|786.375-803.106
|789.973-810.917
| colspan="2" |800-803.571
| colspan="2" |800-803.571
|799.17-818.259
|810-''812.5''
|810-''812.5''
|804.848-8242.874
|816.527-832.777
|816.527-832.777
|825
|825
Line 110: Line 86:
|6
|6
|''900''
|''900''
|930.041-949.541
|940.909
|940.909
|931.882-951.382
|932.825-952.325
| colspan="2" |942.857
| colspan="2" |942.857
|935.581-958.86
|950-951.429
|950-951.429
|943.6495-963.727
|947.967-973.1
| colspan="2" |960-964.286
| colspan="2" |960-964.286
|959.004-981.911
|972-''975''
|972-''975''
|965.818-989.849
|979.832-999.332
|979.832-999.332
|990
|990
Line 126: Line 98:
|7
|7
|''1050''
|''1050''
|1085.048-1107.798
|1097.727
|1097.727
|1087.196-1109.946
|1089.296-1112.046
| colspan="2" |1100
| colspan="2" |1100
|1091.511-1118.67
|1108.333-1110
|1108.333-1110
|1100.924-1124.348
|1105.962-1135.284
| colspan="2" |1120-1125
| colspan="2" |1120-1125
|1118.838-1145.563
|1134-''1137.5''
|1134-''1137.5''
|1126.7875-1154.824
|1143.1375-1165.8875
|1143.1375-1165.8875
|1155
|1155
Line 143: Line 111:
|-
|-
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="5" |Intense Phrygian
! colspan="4" |Intense Phrygian
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="4" |Intense Phrygian-Soft Aeolian
! colspan="6" |Soft Aeolian
! colspan="5" |Soft Aeolian
|-
|-
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!54/25±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!13/6±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!24/11±13¢
!Median
!Median
!Med-Max±13¢
!11/5±13¢
!11/5±13¢
!Maximum
!Maximum
Line 166: Line 131:
|1
|1
|165
|165
|163.971-167.221
|165.7895
|165.7895
|164.363-167.613
|165.03-168.28
| colspan="2" |166.667
| colspan="2" |166.667
|165.78-169.03
|165.697-169.447
|167.647
|167.647
|166.271-169.521
| colspan="2" |''168.75''
| colspan="2" |''168.75''
|168.065-171.315
|167.205-170.455
|170
|170
|168.695-171.945
|169.0005-172.2505
|169.0005-172.2505
|171.429
|171.429
Line 182: Line 144:
|2
|2
|330
|330
|327.941-334.441
|331.579
|331.579
|328.726-335.226
|330.059-336.559
| colspan="2" |333.333
| colspan="2" |333.333
|331.561-338.061
|331.393-337.893
|335.294
|335.294
|332.541-339.041
| colspan="2" |''337.5''
| colspan="2" |''337.5''
|336.13-345.63
|334.409-340.909
|340
|340
|337.39-343.895
|338.001-344.501
|338.001-344.501
|342.857
|342.857
Line 198: Line 157:
|3
|3
|495
|495
|491.912-501.662
|497.368
|497.368
|493.089-502.839
|495.089-504.839
| colspan="2" |500
| colspan="2" |500
|497.341-507.091
|497.09-506.84
|502.941
|502.941
|498.812-508.562
| colspan="2" |''506.25''
| colspan="2" |''506.25''
|504.195-513.945
|501.614-511.344
|510
|510
|506.084-515.834
|507.002-516.752
|507.002-516.752
|514.286
|514.286
Line 214: Line 170:
|4
|4
|660
|660
|655.883-668.883
|663.158
|663.158
|657.4525-670.4525
|660.119-673.119
| colspan="2" |666.667
| colspan="2" |666.667
|663.121-676.121
|662.727-675.727
|670.588
|670.588
|665.082-678.082
| colspan="2" |''675''
| colspan="2" |''675''
|672.2605-685.2605
|668.8185-681.8185
|680
|680
|674.779-687.779
|676.002-689.002
|676.002-689.002
|685.714
|685.714
Line 230: Line 183:
|5
|5
|825
|825
|819.8535-836.1035
|828.947
|828.947
|821.816-838.065
|825.1485-841.3985
| colspan="2" |833.333
| colspan="2" |833.333
|828.902-845.152
|828.482-844.1732
|838.235
|838.235
|831.353-847.603
| colspan="2" |''843.75''
| colspan="2" |''843.75''
|840.362-856.567
|836.023-852.273
|850
|850
|843.474-859.724
|845.003-861.253
|845.003-861.253
|857.143
|857.143
Line 246: Line 196:
|6
|6
|990
|990
|983.824-1003.324
|994.737
|994.737
|986.178-1005.678
|990.178-1009.678
| colspan="2" |1000
| colspan="2" |1000
|994.682-1014.182
|994.1795-1013.6795
|1005.882
|1005.882
|997.623-1017.123
| colspan="2" |''1012.5''
| colspan="2" |''1012.5''
|1108.391-1027.891.
|1003.227-1022.777.
|1020
|1020
|1012.169-1031.669
|1014.003-1033.503
|1014.003-1033.503
|1028.571
|1028.571
Line 262: Line 209:
|7
|7
|1155
|1155
|1147.795-1170.545
|1160.526
|1160.526
|1150.542-1173.292
|1155.208-1177.978
| colspan="2" |1166.667
| colspan="2" |1166.667
|1160.4625-1183.2125
|1159.876-1182.626
|1173.529
|1173.529
|1163.894-1186.644
| colspan="2" |''1081.25''
| colspan="2" |''1081.25''
|1176.456-1199.206
|1170.432-1193.182
|1190
|1190
|1180.8635-1203.6135
|1183.004-1205.754
|1183.004-1205.754
|1200
|1200
Line 278: Line 222:
{| class="wikitable"
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="7" |Aeolian
! colspan="8" |Aeolian
! colspan="8" |Intense Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="4" |Flattone
! colspan="4" |Flattone
! colspan="3" |Meantone
! colspan="4" |Meantone
! colspan="4" |Superpyth
! colspan="4" |Superpyth
! colspan="4" |Ultrapyth
! colspan="4" |Ultrapyth
Line 292: Line 236:
!Minimum
!Minimum
!Median
!Median
!38/17±13¢
!Maximum
!Maximum
!Minimum
!Minimum
Line 308: Line 253:
| colspan="2" |173.684
| colspan="2" |173.684
|174
|174
|172.445-175.695
| colspan="2" |''175''
| colspan="2" |''175''
|173.864-177.114
|173.864-177.114
Line 322: Line 268:
| colspan="2" |347.368
| colspan="2" |347.368
|348
|348
|344.889-351.389
| colspan="2" |''350''
| colspan="2" |''350''
|347.7275-354.2275
|347.7275-354.2275
Line 336: Line 283:
| colspan="2" |521.053
| colspan="2" |521.053
|522
|522
|517.334-527.084
| colspan="2" |''525''
| colspan="2" |''525''
|521.591-531.341
|521.591-531.341
Line 350: Line 298:
| colspan="2" |694.737
| colspan="2" |694.737
|696
|696
|689.779-702.779
| colspan="2" |''700''
| colspan="2" |''700''
|695.455-708.455
|695.455-708.455
Line 364: Line 313:
| colspan="2" |868.421
| colspan="2" |868.421
|870
|870
|862.2235-878.4735
| colspan="2" |''875''
| colspan="2" |''875''
|869.319-885.569
|869.319-885.569
Line 378: Line 328:
| colspan="2" |1042.105
| colspan="2" |1042.105
|1044
|1044
|1034.668-1054.168
| colspan="2" |''1050''
| colspan="2" |''1050''
|1043.1825-1062.6825
|1043.1825-1062.6825
Line 392: Line 343:
| colspan="2" |1215.7895
| colspan="2" |1215.7895
|1218
|1218
|1207.113-1229.863
| colspan="2" |''1225''
| colspan="2" |''1225''
|1217.046-1239.796
|1217.046-1239.796
Line 398: Line 350:
|1246.875
|1246.875
|1240.902-1263.652
|1240.902-1263.652
|1260
|}
Golden/Pyrite Tunings±13¢
{| class="wikitable"
|-
! rowspan="3" |Degrees
! colspan="2" |Soft Phrygian
! colspan="4" |Phrygian
|-
! rowspan="2" |Min-Med
! rowspan="2" |Min-Max/Med-Max
! colspan="2" |Thirdtone
! colspan="2" |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
|}
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="2" |Intense Phrygian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="2" |Soft Aeolian
|-
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max±13¢
|-
|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
|}
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="5" |Aeolian
! colspan="5" |Intense Aeolian
|-
! colspan="3" |Flattone
! colspan="2" |Meantone
! colspan="2" |Superpyth
! colspan="3" |Ultrapyth
|-
!Min-Med
!Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
!Min-Med
!Min-Max/Med-Max
!Min-Med
!Min-Max
!Med-Max
|-
|1
|171.1755-174.4255
|173.077
|173.684
|
|175
|
|176.471
|
|178.125
|180
|-
|2
|342.351-348.851
|346.154
|347.368
|
|350
|
|352.941
|
|356.25
|360
|-
|3
|513.526-523.276
|519.231
|521.053
|
|525
|
|529.412
|
|534.375
|540
|-
|4
|684.702-697.702
|692.308
|694.737
|
|700
|
|705.882
|
|712.5
|720
|-
|5
|855.877-872.127
|865.385
|868.421
|
|875
|
|882.353
|
|890.625
|900
|-
|6
|1027.053-1046.553
|1038.4615
|1042.105
|
|1050
|
|1058.8235
|
|1068.75
|1080
|-
|7
|1198.228-1220.978
|1211.5385
|1215.7895
|
|1225
|
|1235.294
|
|1246.875
|1260
|1260
|}
|}

Revision as of 20:59, 15 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 31/15±13¢ Maximum Thirdtone Semitone
Minimum Median 23/11-21/10±13¢ Maximum Minimum Median 15/7±13¢ Maximum
1 150 156.818 155.471-158.721 157.143 158.333-158.571 157.995-162.183 160-160.714 162-162.5 163.305-166.555 165
2 300 313.636 310.942-317.442 314.286 316.667-317.143 315.99-324.367 320-321.429 324-325 326.611-333.111 330
3 450 470.4545 466.413-474.163 471.429 475-475.714 473.985-486.55 480-482.143 486-487.5 489.916-499.666 495
4 600 627.273 621.883-634.883 628.571 633.333-634.286 631.98-648.734 640-642.857 648-650 653.224-666.221 660
5 750 784.091 777.354-891.604 785.714 791.667-792.857 789.973-810.917 800-803.571 810-812.5 816.527-832.777 825
6 900 940.909 932.825-952.325 942.857 950-951.429 947.967-973.1 960-964.286 972-975 979.832-999.332 990
7 1050 1097.727 1089.296-1112.046 1100 1108.333-1110 1105.962-1135.284 1120-1125 1134-1137.5 1143.1375-1165.8875 1155
Degrees Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum Median 54/25±13¢ Maximum Minimum 13/6±13¢ Median Maximum Minimum 24/11±13¢ Median 11/5±13¢ Maximum
1 165 165.7895 165.03-168.28 166.667 165.697-169.447 167.647 168.75 167.205-170.455 170 169.0005-172.2505 171.429
2 330 331.579 330.059-336.559 333.333 331.393-337.893 335.294 337.5 334.409-340.909 340 338.001-344.501 342.857
3 495 497.368 495.089-504.839 500 497.09-506.84 502.941 506.25 501.614-511.344 510 507.002-516.752 514.286
4 660 663.158 660.119-673.119 666.667 662.727-675.727 670.588 675 668.8185-681.8185 680 676.002-689.002 685.714
5 825 828.947 825.1485-841.3985 833.333 828.482-844.1732 838.235 843.75 836.023-852.273 850 845.003-861.253 857.143
6 990 994.737 990.178-1009.678 1000 994.1795-1013.6795 1005.882 1012.5 1003.227-1022.777. 1020 1014.003-1033.503 1028.571
7 1155 1160.526 1155.208-1177.978 1166.667 1159.876-1182.626 1173.529 1081.25 1170.432-1193.182 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±13¢
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 Min-Max Med-Max Min-Med/Min-Max Med-Max Min-Med Min-Max/Med-Max Min-Med Min-Max Med-Max
1 171.1755-174.4255 173.077 173.684 175 176.471 178.125 180
2 342.351-348.851 346.154 347.368 350 352.941 356.25 360
3 513.526-523.276 519.231 521.053 525 529.412 534.375 540
4 684.702-697.702 692.308 694.737 700 705.882 712.5 720
5 855.877-872.127 865.385 868.421 875 882.353 890.625 900
6 1027.053-1046.553 1038.4615 1042.105 1050 1058.8235 1068.75 1080
7 1198.228-1220.978 1211.5385 1215.7895 1225 1235.294 1246.875 1260
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