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 | Minimum | Median | Maximum | Minimum | Median | Maximum | |
| 1 | 133.333 | 138.667 | 142.222 | 146.667 | 149.02 | 152.381 | 155.556 | 160 | ||
| 2 | 266.667 | 277.333 | 284.444 | 293.333 | 288.039 | 304.762 | 311.111 | 320 | ||
| 3 | 400 | 416 | 426.667 | 440 | 447.059 | 457.143 | 466.667 | 480 | ||
| 4 | 533.333 | 554.667 | 568.889 | 586.667 | 596.078 | 609.524 | 622.222 | 640 | ||
| 5 | 666.667 | 693.333 | 711.111 | 733.333 | 745.098 | 761.905 | 777.778 | 800 | ||
| 6 | 800 | 832 | 853.333 | 880 | 894.118 | 914.286 | 933.333 | 960 | ||
| 7 | 933.333 | 970.667 | 995.556 | 1026.667 | 1043.137 | 1066.667 | 1088.889 | 1120 | ||
| 8 | 1066.667 | 1109.333 | 1137.778 | 1177.333 | 1192.157 | 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-13c | Min-Max-13c | Min-Med | Min-Max | Med-Max-13c | Min-Med+13c | Min-Max+13c | Med-Max | Med-Max+13c |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 139.774 | 140.366 | 141.218 | 141.81 | 142.075 | 142.663 | 143.254 | 143.519 | 144.9635 |
| 2 | 279.548 | 280.731 | 282.437 | 283.62 | 284.149 | 285.3255 | 286.509 | 287.038 | 289.927 |
| 3 | 419.3215 | 421.097 | 423.655 | 424.43 | 426.224 | 427.988 | 429.763 | 430.557 | 434.891 |
| 4 | 559.095 | 561.462 | 564.876 | 566.24 | 568.3 | 570.650 | 573.018 | 574.076 | 579.854 |
| 5 | 698.869 | 701.828 | 706.0915 | 709.05 | 710.373 | 713.314 | 716.272 | 717.5955 | 724.818 |
| 6 | 838.643 | 842.193 | 847.308 | 850.86 | 852.448 | 855.976 | 859.5265 | 861.115 | 869.781 |
| 7 | 978.417 | 982.559 | 988.528 | 992.67 | 994.5225 | 998.639 | 1002.781 | 1004.634 | 1014.745 |
| 8 | 1118.191 | 1122.924 | 1129.746 | 1134.48 | 1136.597 | 1141.302 | 1146.035 | 1148.153 | 1159.708 |
Phrygian-Aeolian Mode (intermediate minor)
| Degrees | Min-Med/Min-Max-13c | Med-Max-13c | Min-Med/Min-Max | Med-Max | Min-Med/Min-Max+13c | Med-Max+13c | Min-Med-13c (Aeolian) |
|---|---|---|---|---|---|---|---|
| 1 | 146.948 | 148.257 | 148.392 | 149.7015 | 149.836 | 151.146 | 152.036 |
| 2 | 293.896 | 296.514 | 296.7845 | 299.403 | 299.673 | 302.292 | 304.072 |
| 3 | 440.8435 | 444.771 | 445.177 | 449.1045 | 449.51 | 453.438 | 456.408 |
| 4 | 587.791 | 593.028 | 593.5695 | 598.806 | 599.347 | 604.584 | 608.143 |
| 5 | 734.739 | 741.285 | 741.961 | 748.507 | 749.184 | 755.73 | 760.179 |
| 6 | 881.687 | 889.542 | 890.354 | 898.209 | 899.02 | 906.876 | 912.215 |
| 7 | 1028.635 | 1037.799 | 1038.746 | 1047.91 | 1048.857 | 1058.0215 | 1064.251 |
| 8 | 1175.583 | 1186.056 | 1187.138 | 1197.612 | 1198.694 | 1209.1675 | 1216.387 |
Aeolian Mode (melodic/harmonic minor)
| Degrees | Min-Med-13c | Min-Med | Min-Max | Min-Med+13c | Med-Max-13c | Min-Max+13c | Med-Max | Med-Max+13c |
|---|---|---|---|---|---|---|---|---|
| 1 | 153.27 | 153.48 | 154.714 | 154.925 | 155.622 | 156.159 | 157.066 | 158.511 |
| 2 | 306.54 | 306.961 | 308.429 | 309.8495 | 311.244 | 312.3175 | 314.133 | 317.022 |
| 3 | 459.81 | 460.441 | 464.143 | 464.774 | 466.866 | 468.476 | 471.199 | 475.533 |
| 4 | 613.0795 | 613.921 | 618.857 | 619.699 | 622.488 | 624.635 | 628.266 | 634.0435 |
| 5 | 766.349 | 767.4015 | 773.572 | 774.624 | 778.11 | 780.794 | 785.332 | 792.554 |
| 6 | 919.619 | 920.882 | 928.286 | 929.5845 | 933.732 | 936.953 | 942.399 | 951.065 |
| 7 | 1072.889 | 1074.362 | 1083 | 1084.473 | 1089.354 | 1093.111 | 1099.465 | 1109.576 |
| 8 | 1226.159 | 1227.842 | 1237.715 | 1239.398 | 1244.976 | 1249.27 | 1256.531 | 1268.087 |
By coincidence, using an equivalence wider than 1350 cents is identical to repeating a Phrygian mode Napoli scale one tone later.