User:Moremajorthanmajor/8edIX
This Long Common Practice minor mode is the neutral scale of the Napoli 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 | 150 | 158.571 | 160 | 165 | 165.7895 | 166.667 | 167.647 | 168.75 | 170 | 171.429 | 175 | 180 | ||||
| 2 | 300 | 317.143 | 320 | 330 | 331.579 | 333.333 | 335.294 | 337.5 | 340 | 342.857 | 350 | 360 | ||||
| 3 | 450 | 475.714 | 480 | 495 | 497.368 | 500 | 502.941 | 506.25 | 510 | 514.286 | 525 | 540 | ||||
| 4 | 600 | 634.286 | 640 | 660 | 663.158 | 666.667 | 670.588 | 675 | 680 | 685.714 | 700 | 720 | ||||
| 5 | 750 | 792.857 | 800 | 825 | 828.947 | 833.333 | 838.235 | 843.75 | 850 | 857.143 | 875 | 900 | ||||
| 6 | 900 | 951.429 | 960 | 990 | 994.737 | 1000 | 1005.882 | 1012.5 | 1020 | 1028.571 | 1050 | 1080 | ||||
| 7 | 1050 | 1110 | 1120 | 1155 | 1160.526 | 1166.667 | 1173.529 | 1081.25 | 1190 | 1200 | 1225 | 1260 | ||||
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 | 163.305-166.555 | 169.0005-172.2505 | 173.864-177.114 |
| 2 | 326.611-333.111 | 338.001-344.501 | 347.7275-354.2275 |
| 3 | 489.916-499.666 | 507.002-516.752 | 521.591-531.341 |
| 4 | 653.221-666.221 | 676.002-689.002 | 695.455-708.455 |
| 5 | 816.527-832.777 | 845.003-861.253 | 869.319-885.569 |
| 6 | 979.832-999.332 | 1014.003-1033.503 | 1043.1825-1062.6825 |
| 7 | 1143.1375-1165.8875 | 1183.004-1205.754 | 1217.046-1239.796 |
Golden Tunings
Phrygian Mode (natural minor)
| Degrees | Min-Med±13¢ | Min-Max±13¢ | Med-Max±13¢ |
|---|---|---|---|
| 1 | 157.246-160.496 | 157.911-161.161 | 159.834-163.084 |
| 2 | 314.491-320.991 | 315.822-322.322 | 319.668-326.168 |
| 3 | 471.737-481.487 | 473.734-483.484 | 479.502-489.252 |
| 4 | 628.982-641.982 | 631.645-644.645 | 639.335-652.336 |
| 5 | 786.227-802.478 | 789.556-805.806 | 799.17-815.42 |
| 6 | 943.4735-962.9735 | 947.467-966.967 | 959.003-978.504 |
| 7 | 1100.719-1123.469 | 1105.379-1128.129 | 1118.838-1141.588 |
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 | 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 |
Aeolian Mode (melodic/harmonic minor)
| Degrees | Min-Med±13¢ | Min-Max±13¢ | Med-Max±13¢ |
|---|---|---|---|
| 1 | 171.04-174.29 | 172.429-175.679 | 175.075-178.325 |
| 2 | 342.081-348.581 | 344.857-351.357 | 350.1495-356.3495 |
| 3 | 513.121-522.871 | 517.286-527.036 | 525.224-536.974 |
| 4 | 684.661-697.161 | 689.7145-702.7145 | 700.299-713.299 |
| 5 | 855.202-871.452 | 862.143-878.393 | 875.374-891.624 |
| 6 | 1026.242-1045.742 | 1028.572-1054.072 | 1050.448-1069.948 |
| 7 | 1197.282-1220.032 | 1207-1229.75 | 1225.523-1248.273 |