User:Moremajorthanmajor/8edIX: Difference between revisions

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Line 8: Line 8:
! colspan="6" |Phrygian
! colspan="6" |Phrygian
|-
|-
! rowspan="2" |Minimum
! rowspan="2" |Minimum-comma
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2" |Maximum
! rowspan="2" |Maximum+comma
! colspan="3" |Thirdtone
! colspan="3" |Thirdtone
! colspan="3" |Semitone
! colspan="3" |Semitone
|-
|-
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
|-
|-
|1
|1
|''150''
|146.25-''150''
|156.818
|156.818
| colspan="2" |157.143
| colspan="2" |153.393-160.893
|158.333-158.571
|158.333-158.571
| colspan="2" |160-160.714
| colspan="2" |156.25-164.464
|162-''162.5''
|162-''162.5''
|165
|165-168.75
|-
|-
|2
|2
|''300''
|292.5-''300''
|313.636
|313.636
| colspan="2" |314.286
| colspan="2" |306.786-321.786
|316.667-317.143
|316.667-317.143
| colspan="2" |320-321.429
| colspan="2" |312.5-328.929
|324-''325''
|324-''325''
|330
|330-337.5
|-
|-
|3
|3
|''450''
|438.75-''450''
|470.4545
|470.4545
| colspan="2" |471.429
| colspan="2" |460.179-482.679
|475-475.714
|475-475.714
| colspan="2" |480-482.143
| colspan="2" |468.75-493.393
|486-''487.5''
|486-''487.5''
|495
|495-506.25
|-
|-
|4
|4
|''600''
|585-''600''
|627.273
|627.273
| colspan="2" |628.571
| colspan="2" |613.571-643.571
|633.333-634.286
|633.333-634.286
| colspan="2" |640-642.857
| colspan="2" |625-656.857
|648-''650''
|648-''650''
|660
|660-675
|-
|-
|5
|5
|''750''
|731.25-''750''
|784.091
|784.091
| colspan="2" |785.714
| colspan="2" |766.964-804.464
|791.667-792.857
|791.667-792.857
| colspan="2" |800-803.571
| colspan="2" |781.25-821.321
|810-''812.5''
|810-''812.5''
|825
|825-843.75
|-
|-
|6
|6
|''900''
|877.5-''900''
|940.909
|940.909
| colspan="2" |942.857
| colspan="2" |920.357-965.357
|950-951.429
|950-951.429
| colspan="2" |960-964.286
| colspan="2" |937.5-985.786
|972-''975''
|972-''975''
|990
|990-1012.5
|-
|-
|7
|7
|''1050''
|1023.25-''1050''
|1097.727
|1097.727
| colspan="2" |1100
| colspan="2" |1073.75-1126.25
|1108.333-1110
|1108.333-1110
| colspan="2" |1120-1125
| colspan="2" |1093.75-1150.25
|1134-''1137.5''
|1134-''1137.5''
|1155
|1155-1181.25
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 89: Line 89:
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Soft Aeolian
! colspan="4" |Soft Aeolian
|-
|-
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!''r¢''
!Median
!Median
!Maximum
!Maximum+comma
|-
|-
|1
|1
|165
|161.25-165
|165.7895
|165.7895
| colspan="2" |166.667
| colspan="2" |162.917-170.417
|167.647
|167.647
| colspan="2" |''168.75''
| colspan="2" |165-172.5
|''168.75''
|170
|170
|171.429
|171.429-175.179
|-
|-
|2
|2
|330
|322.5-330
|331.579
|331.579
| colspan="2" |333.333
| colspan="2" |325.833-340.833
|335.294
|335.294
| colspan="2" |''337.5''
| colspan="2" |330-345
|''337.5''
|340
|340
|342.857
|342.857-350.357
|-
|-
|3
|3
|495
|484.75-495
|497.368
|497.368
| colspan="2" |500
| colspan="2" |488.75-511.25
|502.941
|502.941
| colspan="2" |''506.25''
| colspan="2" |495-517.5
|''506.25''
|510
|510
|514.286
|514.286-525.536
|-
|-
|4
|4
|660
|645-660
|663.158
|663.158
| colspan="2" |666.667
| colspan="2" |651.667-681.667
|670.588
|670.588
| colspan="2" |''675''
| colspan="2" |660-690
|''675''
|680
|680
|685.714
|685.714-700.714
|-
|-
|5
|5
|825
|806.25-825
|828.947
|828.947
| colspan="2" |833.333
| colspan="2" |814.583-852.083
|838.235
|838.235
| colspan="2" |''843.75''
| colspan="2" |825-862.5
|''843.75''
|850
|850
|857.143
|857.143-875.893
|-
|-
|6
|6
|990
|967.5-990
|994.737
|994.737
| colspan="2" |1000
| colspan="2" |977.5-1022.5
|1005.882
|1005.882
| colspan="2" |''1012.5''
| colspan="2" |990-1035
|''1012.5''
|1020
|1020
|1028.571
|1028.571-1051.071
|-
|-
|7
|7
|1155
|1128.75-1155
|1160.526
|1160.526
| colspan="2" |1166.667
| colspan="2" |1140.417-1192.917
|1173.529
|1173.529
| colspan="2" |''1081.25''
| colspan="2" |1155-1207.5
|''1181.25''
|1190
|1190
|1200
|1200-1226.25
|}
|}
{| class="wikitable"
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="6" |Aeolian
! colspan="6" |Aeolian
! colspan="6" |Intense Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="3" |Flattone
! colspan="3" |Flattone
! colspan="3" |Meantone
! colspan="3" |Meantone
! colspan="3" |Superpyth
! colspan="5" |Superpyth
! colspan="3" |Ultrapyth
! colspan="3" |Ultrapyth
|-
|-
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum
!Minimum
!Minimum-comma
! colspan="2" |''r¢''
|Median
|Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
|Median
|Median
!Maximum
!Maximum+comma
|-
|-
|1
|1
|171.429
|168.679-171.429
|173.077
|173.077
| colspan="2" |173.684
| colspan="2" |169.934-177.434
|174
|174
| colspan="2" |171.25-178.75
| colspan="2" |''175''
| colspan="2" |''175''
|176.471
|176.471
| colspan="2" |177.273
| colspan="2" |173.523-181.023
|178.125
|178.125
|180
|180-183.75
|-
|-
|2
|2
|342.857
|335.357-342.857
|346.154
|346.154
| colspan="2" |347.368
| colspan="2" |339.868-354.868
|348
|348
| colspan="2" |342.5-357.5
| colspan="2" |''350''
| colspan="2" |''350''
|352.941
|352.941
| colspan="2" |354.5455
| colspan="2" |346.0455-361.0455
|356.25
|356.25
|360
|360-367.5
|-
|-
|3
|3
|514.286
|503.036-514.286
|519.231
|519.231
| colspan="2" |521.053
| colspan="2" |509.803-532.303
|522
|522
| colspan="2" |513.75-536.25
| colspan="2" |''525''
| colspan="2" |''525''
|529.412
|529.412
| colspan="2" |531.818
| colspan="2" |520.568-543.068
|534.375
|534.375
|540
|540-551.25
|-
|-
|4
|4
|685.714
|670.714-685.714
|692.308
|692.308
| colspan="2" |694.737
| colspan="2" |679.737-709.737
|696
|696
| colspan="2" |685-715
| colspan="2" |''700''
| colspan="2" |''700''
|705.882
|705.882
| colspan="2" |709.091
| colspan="2" |694.091-724.091
|712.5
|712.5
|720
|720-735
|-
|-
|5
|5
|857.143
|838.393-857.143
|865.385
|865.385
| colspan="2" |868.421
| colspan="2" |849.671-887.171
|870
|870
| colspan="2" |856.25-893.75
| colspan="2" |''875''
| colspan="2" |''875''
|882.353
|882.353
| colspan="2" |886.364
| colspan="2" |867.614-905.114
|890.625
|890.625
|900
|900-918.75
|-
|-
|6
|6
|1028.571
|1006.071-1028.571
|1038.4615
|1038.4615
| colspan="2" |1042.105
| colspan="2" |1019.605-1064.605
|1044
|1044
| colspan="2" |1027.5-1072.5
| colspan="2" |''1050''
| colspan="2" |''1050''
|1058.8235
|1058.8235
| colspan="2" |1063.636
| colspan="2" |1041.136-1086.136
|1068.75
|1068.75
|1080
|1080-1102.5
|-
|-
|7
|7
|1200
|1173.75-1200
|1211.5385
|1211.5385
| colspan="2" |1215.7895
| colspan="2" |1189.5395-1142.0395
|1218
|1218
| colspan="2" |1198.75-1251.25
| colspan="2" |''1225''
| colspan="2" |''1225''
|1235.294
|1235.294
| colspan="2" |1240.909
| colspan="2" |1213.659-1266.159
|1246.875
|1246.875
|1260
|1260-1286.25
|}
|}
Golden/Pyrite Tunings±13¢
Golden/Pyrite Tunings±13¢
Line 279: Line 295:
!Min-Med/Min-Max
!Min-Med/Min-Max
!Med-Max
!Med-Max
!Min-Med/Min-Max±13¢
!Min-Med/Min-Max
!Med-Max±13¢
!Med-Max
|-
|-
|1
|1

Revision as of 23:25, 28 May 2019

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

Intervals

Degrees Soft Phrygian Phrygian
Minimum-comma Median Maximum+comma Thirdtone Semitone
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma
1 146.25-150 156.818 153.393-160.893 158.333-158.571 156.25-164.464 162-162.5 165-168.75
2 292.5-300 313.636 306.786-321.786 316.667-317.143 312.5-328.929 324-325 330-337.5
3 438.75-450 470.4545 460.179-482.679 475-475.714 468.75-493.393 486-487.5 495-506.25
4 585-600 627.273 613.571-643.571 633.333-634.286 625-656.857 648-650 660-675
5 731.25-750 784.091 766.964-804.464 791.667-792.857 781.25-821.321 810-812.5 825-843.75
6 877.5-900 940.909 920.357-965.357 950-951.429 937.5-985.786 972-975 990-1012.5
7 1023.25-1050 1097.727 1073.75-1126.25 1108.333-1110 1093.75-1150.25 1134-1137.5 1155-1181.25
Degrees Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma Minimum-comma r¢ Median Maximum+comma
1 161.25-165 165.7895 162.917-170.417 167.647 165-172.5 168.75 170 171.429-175.179
2 322.5-330 331.579 325.833-340.833 335.294 330-345 337.5 340 342.857-350.357
3 484.75-495 497.368 488.75-511.25 502.941 495-517.5 506.25 510 514.286-525.536
4 645-660 663.158 651.667-681.667 670.588 660-690 675 680 685.714-700.714
5 806.25-825 828.947 814.583-852.083 838.235 825-862.5 843.75 850 857.143-875.893
6 967.5-990 994.737 977.5-1022.5 1005.882 990-1035 1012.5 1020 1028.571-1051.071
7 1128.75-1155 1160.526 1140.417-1192.917 1173.529 1155-1207.5 1181.25 1190 1200-1226.25
Degrees Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum Minimum-comma r¢ Median Maximum+comma Minimum-comma Median Maximum+comma
1 168.679-171.429 173.077 169.934-177.434 174 171.25-178.75 175 176.471 173.523-181.023 178.125 180-183.75
2 335.357-342.857 346.154 339.868-354.868 348 342.5-357.5 350 352.941 346.0455-361.0455 356.25 360-367.5
3 503.036-514.286 519.231 509.803-532.303 522 513.75-536.25 525 529.412 520.568-543.068 534.375 540-551.25
4 670.714-685.714 692.308 679.737-709.737 696 685-715 700 705.882 694.091-724.091 712.5 720-735
5 838.393-857.143 865.385 849.671-887.171 870 856.25-893.75 875 882.353 867.614-905.114 890.625 900-918.75
6 1006.071-1028.571 1038.4615 1019.605-1064.605 1044 1027.5-1072.5 1050 1058.8235 1041.136-1086.136 1068.75 1080-1102.5
7 1173.75-1200 1211.5385 1189.5395-1142.0395 1218 1198.75-1251.25 1225 1235.294 1213.659-1266.159 1246.875 1260-1286.25

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 Med-Max
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
1 171.04-174.29 171.641-175.524 172.504-175.754 174.582-177.832 175.074-178.324 176.246-179.495 176.8035-180.0535
2 342.081-348.581 343.282-351.048 345.008-351.508 349.1645-355.6645 350.149-356.649 352.492-358.992 353.607-360.107
3 513.121-522.871 514.923-526.572 517.5125-527.2625 523.747-533.497 525.224-534.974 528.738-538.488 530.4105-540.1605
4 684.161-697.161 686.5635-702.096 690.017-703.017 698.329-711.329 700.299-713.299 704.983-717.983 707.214-720.214
5 855.202-871.472 858.204-877.62 862.521-878.771 872.911-889.161 875.373-890.623 881.229-897.479 884.018-900.268
6 1026.242-1045.742 1029.845-1053.1445 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 1201.486-1228.6685 1207.529-1230.279 1222.076-1244.826 1225.523-1248.273 1233.721-1256.471 1237.625-1260.375
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