User:Moremajorthanmajor/9edIX

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This Long Common Practice minor mode is the neutral scale of the Fujiyama 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 Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian Minimum Median Maximum
Minimum Median Maximum Minimum Median Maximum Minimum Median Maximum
1 133.333 138.667 142.222 146.667 147.368 148.148 149.02 150 151.111 152.381 155.556 160
2 266.667 277.333 284.444 293.333 294.737 296.296 288.039 300 302.222 304.762 311.111 320
3 400 416 426.667 440 442.105 444.444 447.059 450 453.333 457.143 466.667 480
4 533.333 554.667 568.889 586.667 589.474 592.593 596.078 600 604.444 609.524 622.222 640
5 666.667 693.333 711.111 733.333 736.845 740.741 745.098 750 755.556 761.905 777.778 800
6 800 832 853.333 880 884.2015 888.889 894.118 900 906.667 914.286 933.333 960
7 933.333 970.667 995.556 1026.667 1031.158 1037.037 1043.137 1050 1057.778 1066.667 1088.889 1120
8 1066.667 1109.333 1137.778 1177.333 1178.947 1185.1858 1192.157 1200 1208.889 1219.048 1244.444 1280

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¢
1 145.16-148.049 150.223-153.112 154.546-157.434
2 290.321-296.098 300.445-306.223 309.091-314.869
3 435.481-444.148 450.668459.335 463.637-473.303
4 580.641-592.197 600.891-612.446 618.182-629.738
5 725.802-740.246 751.1135-765.558 772.728-787.172
6 870.962*888.295 901.336-918.6695 927.273-944.607
7 1016.122-1036.344 1051.559-1071.781 1081.819-1102.041
8 1161.2825-1184.395 1201.7815-1224.893 1236.364-1259.476

Golden Tunings

Phrygian Mode (natural minor)

Degrees Min-Med±13¢ Min-Max±13¢ Med-Max±13¢
1 139.774-142.663 140.366-143.254 142.075-144.9635
2 279.548-285.3255 280.731-286.509 284.149-289.927
3 419.3215-427.988 421.097-429.763 426.224-434.891
4 559.095-570.650 561.462-573.018 568.3-579.854
5 698.869-713.314 701.828-716.272 710.373-724.818
6 838.643-855.976 842.193-859.5265 852.448-869.781
7 978.417-998.639 982.559-1002.781 994.5225-1014.745
8 1118.191-1141.302 1122.924-1146.035 1136.597-1159.708

Phrygian-Aeolian Mode (intermediate minor)

Degrees Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Min-Med/Min-Max±13¢ Med-Max±13¢ Min-Med/Min-Max±13¢ Med-Max±13¢ Min-Med/Min-Max±13¢ Med-Max±13¢
1 145.751-148.641 146.101-148.99 147.36-150.249 147.796-150.685 149.391-152.28 149.951-152.84
2 291.5035-297.282 292.201-297.979 294.721-300.498 295.592-301.37 298.782-304.56 299.902-305.68
3 437.255-445.922 438.302-446.968 442.081-450.748 443.388-452.055 448.174-456.84 449.853-458.519
4 583.007-594.5625 584.402-595.958 589.441-600.997 591.164-602.74 597.565-609.12 599.804-611.359
5 728.759-743.203 730.502-744.947 736.802-751.246 738.98-753.425 746.956-761.4005 749.755-764.199
6 874.51-891.844 876.603-893.937 884.161-901.495 886.776-904.11 896.347-913.681 899.7055-917.039
7 1020.262-1040.484 1022.704-1042.926 1031.522-1051.7445 1034.572-1054.795 1045.7385-1065.961 1049.6565-1069.879
8 1166.014-1189.125 1168.804-1191.9155 1178.883-1201.994 1182.269-1205.48 1195.13-1216.241 1199.607-1222.7185

Aeolian Mode (melodic/harmonic minor)

Degrees Min-Med±13¢ Min-Max±13¢ Med-Max±13¢
1 152.036-154.925 153.27-156.159 155.622-158.511
2 304.072-309.8495 306.54-312.3175 311.244-317.022
3 456.408-464.774 459.81-468.476 466.866-475.533
4 608.143-619.699 613.0795-624.635 622.488-634.0435
5 760.179-774.624 766.349-780.794 778.11-792.554
6 912.215-929.5845 919.619-936.953 933.732-951.065
7 1064.251-1084.473 1072.889-1093.111 1089.354-1109.576
8 1216.387-1239.398 1226.159-1249.27 1244.976-1268.087

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