User:Moremajorthanmajor/9edIX: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="3" |Degrees
! colspan="5" |Aeolian
! colspan="7" |Aeolian
! colspan="6" |Intense Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="4" |Flattone
! colspan="3" |Meantone
! colspan="4" |Superpyth
! colspan="4" |Ultrapyth
|-
!Minimum
!20/9±13¢
!Median
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!9/4±13¢
!9/4±13¢
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Minimum
!Median
!16/7±13¢
!Maximum
!Maximum
|-
|-
|1
|1
|152.381
|152.381
|152.036-154.925
|152.156-155.045
|153.846
|153.846
|152.781-155.67
| colspan="2" |154.386
|154.667
| colspan="2" |''155.556''
| colspan="2" |''155.556''
|154.546-157.434
|154.546-157.434
|155.622-158.511
|156.863
|157.576
| colspan="2" |157.576
|156.663-159.552
|158.333
|157.575-160.464
|160
|160
|-
|-
|2
|2
|304.762
|304.762
|304.072-309.8495
|304.312-310.09
|307.692
|307.692
|305.562-311.34
| colspan="2" |308.772
|309.333
| colspan="2" |''311.111''
| colspan="2" |''311.111''
|309.091-314.869
|309.091-314.869
|311.244-317.022
|313.7255
|315.1515
| colspan="2" |315.1515
|313.326-319.104
|316.667
|315.15-320.928
|320
|320
|-
|-
|3
|3
|457.143
|457.143
|456.408-464.774
|456.468-465.135
|461.5385
|461.5385
|458.343-467.01
| colspan="2" |463.159
|464
| colspan="2" |''466.667''
| colspan="2" |''466.667''
|463.637-473.303
|463.637-473.303
|466.866-475.533
|470.588
|472.727
| colspan="2" |472.727
|469.989-478.656
|475
|472.725-480.392
|480
|480
|-
|-
|4
|4
|609.524
|609.524
|608.143-619.699
|608.624-620.18
|615.385
|615.385
|611.124-622.68
| colspan="2" |617.544
|618.667
| colspan="2" |''622.222''
| colspan="2" |''622.222''
|618.182-629.738
|618.182-629.738
|622.488-634.0435
|627.451
|630.303
| colspan="2" |630.303
|626.652-638.2075
|633.333
|630.3-641.744
|640
|640
|-
|-
|5
|5
|761.905
|761.905
|760.179-774.624
|760.78-775.224
|769.231
|769.231
|763.9055-778.35
| colspan="2" |771.93
|773.333
| colspan="2" |''777.778''
| colspan="2" |''777.778''
|772.728-787.172
|772.728-787.172
|778.11-792.554
|784.314
|787.879
| colspan="2" |787.879
|783.315-797.759
|791.667
|787.8745-802.319
|800
|800
|-
|-
|6
|6
|914.286
|914.286
|912.215-929.5845
|912.936-930.269
|923.077
|923.077
|916.687-934.02
| colspan="2" |926.316
|928
| colspan="2" |''933.333''
| colspan="2" |''933.333''
|927.273-944.607
|927.273-944.607
|933.732-951.065
|941.1765
|945.4545
| colspan="2" |945.4545
|939.978-957.311
|950
|945.449-962.782
|960
|960
|-
|-
|7
|7
|1066.667
|1066.667
|1064.251-1084.473
|1065.091-1085.313
|1076.923
|1076.923
|1069.468-1089.69
| colspan="2" |1080.702
|1072.667
| colspan="2" |''1088.889''
| colspan="2" |''1088.889''
|1081.819-1102.041
|1081.819-1102.041
|1089.354-1109.576
|1098.804
|1103.03
| colspan="2" |1103.03
|1096.641-1116.863
|1108.333
|1103.024-1123.246
|1120
|1120
|-
|-
|8
|8
|1219.048
|1219.048
|1216.387-1239.398
|1217.248-1240.359
|1230.769
|1230.769
|1222.249-1245.36
| colspan="2" |1235.088
|1237.333
| colspan="2" |''1244.444''
| colspan="2" |''1244.444''
|1236.364-1259.476
|1236.364-1259.476
|1244.976-1268.087
|1254.902
|1260.606
| colspan="2" |1260.606
|1253.304-1276.415
|1266.667
|1260.6-1283.711
|1280
|1280
|}By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.
|}By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.

Revision as of 03:49, 13 February 2019

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

Intervals

Degrees Soft Phrygian Phrygian
Minimum Min-Med±13¢ Median Min-Max/Med-Max±13¢ Maximum Thirdtone Semitone
Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ 15/7±13¢ Maximum
1 133.333 137.784-140.673 139.394 138.057-140.9455 139.6825 138.6045-142.053 140.741-140.952 139.8-142.744 142.222-142.857 142.075-145.468 144-144.444 143.084-146.444 145.16-148.049 146.667
2 266.667 275.568-281.346 278.788 276.113-281.891 279.365 277.209-284.107 281.4815-281.905 279.6-285.549 284.444-285.714 284.149-290.9365 288-288.889 286.168-293.287 290.321-296.098 293.333
3 400 413.352-422.018 418.182 414.17-422.836 419.048 415.814-426.16 422.222-422.857 419.4-428.323 426.667-428.429 426.224-436.405 432-433.333 429.252-439.933 435.481-444.148 440
4 533.333 551.136-562.691 557.576 552.226-563.782 558.73 554.418-568.213 562.963-563.8095 559.2-571.0975 568.889-571.429 568.299-581.873 576-577.778 572.3365-586.577 580.641-592.197 586.667
5 666.667 688.919-703.364 696.97 690.283-704.727 698.413 693.023-710.267 703.704-704.762 699-713.872 711.111-714.286 710.373-727.341 720-722.222 715.42-733.222 725.802-740.246 733.333
6 800 826.70-844.037 836.364 828.3395-845.673 838.095 831.627-852.32 844.444-845.714 838.7995-856.646 853.333-857.142 853.448-872.81 864-866.667 858.505-879.866 870.962-888.295 880
7 933.333 964.487-984.7095 975.7575 966.396-986.6148 977.778 970.232-994.373 985.185-986.666-7 978.5995-999.421 995.556-1000 994.5225-1018.278 1008-1011.111 1001.589-1026.51 1016.122-1036.344 1026.667
8 1066.667 1102.271-1125.382- 1115.1515 1104.453-1127.564 1116.46 1108.836-1136.427 1125.926-1127.619 1118.399-1142.195 1137.778-1142.857 1136.597-1163.746 1152-1155.556 1144.673-1173.155 1161.2825-1184.395 1177.333
Degrees Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ 11/5±13¢ Maximum
1 146.667 145.751-148.641 147.368 146.101-148.99 148.148 147.36-150.249 149.02 147.796-150.685 150 149.391-152.28 151.111 149.951-152.84 150.223-153.112 152.381
2 293.333 291.5035-297.282 294.737 292.201-297.979 296.296 294.721-300.498 288.039 295.592-301.37 300 298.782-304.56 302.222 299.902-305.68 300.445-306.223 304.762
3 440 437.255-445.922 442.105 438.302-446.968 444.444 442.081-450.748 447.059 443.388-452.055 450 448.174-456.84 453.333 449.853-458.519 450.668459.335 457.143
4 586.667 583.007-594.5625 589.474 584.402-595.958 592.593 589.441-600.997 596.078 591.164-602.74 600 597.565-609.12 604.444 599.804-611.359 600.891-612.446 609.524
5 733.333 728.759-743.203 736.845 730.502-744.947 740.741 736.802-751.246 745.098 738.98-753.425 750 746.956-761.4005 755.556 749.755-764.199 751.1135-765.558 761.905
6 880 874.51-891.844 884.2015 876.603-893.937 888.889 884.161-901.495 894.118 886.776-904.11 900 896.347-913.681 906.667 899.7055-917.039 901.336-918.6695 914.286
7 1026.667 1020.262-1040.484 1031.158 1022.704-1042.926 1037.037 1031.522-1051.7445 1043.137 1034.572-1054.795 1050 1045.7385-1065.961 1057.778 1049.6565-1069.879 1051.559-1071.781 1066.667
8 1177.333 1166.014-1189.125 1178.947 1168.804-1191.9155 1185.1858 1178.883-1201.994 1192.157 1182.269-1205.48 1200 1195.13-1216.241 1208.889 1199.607-1222.7185 1201.7815-1224.893 1219.048
Degrees Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum 20/9±13¢ Median Maximum Minimum Median Maximum Minimum 9/4±13¢ Median Maximum Minimum Median 16/7±13¢ Maximum
1 152.381 152.156-155.045 153.846 154.386 154.667 155.556 154.546-157.434 156.863 157.576 158.333 157.575-160.464 160
2 304.762 304.312-310.09 307.692 308.772 309.333 311.111 309.091-314.869 313.7255 315.1515 316.667 315.15-320.928 320
3 457.143 456.468-465.135 461.5385 463.159 464 466.667 463.637-473.303 470.588 472.727 475 472.725-480.392 480
4 609.524 608.624-620.18 615.385 617.544 618.667 622.222 618.182-629.738 627.451 630.303 633.333 630.3-641.744 640
5 761.905 760.78-775.224 769.231 771.93 773.333 777.778 772.728-787.172 784.314 787.879 791.667 787.8745-802.319 800
6 914.286 912.936-930.269 923.077 926.316 928 933.333 927.273-944.607 941.1765 945.4545 950 945.449-962.782 960
7 1066.667 1065.091-1085.313 1076.923 1080.702 1072.667 1088.889 1081.819-1102.041 1098.804 1103.03 1108.333 1103.024-1123.246 1120
8 1219.048 1217.248-1240.359 1230.769 1235.088 1237.333 1244.444 1236.364-1259.476 1254.902 1260.606 1266.667 1260.6-1283.711 1280

By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.

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