User:Moremajorthanmajor/9edIX
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.