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 | Minimum | Median | Maximum | Minimum | Median | Maximum | |
| 1 | 150 | 158.571 | 160 | 165 | 167.647 | 171.429 | 175 | 180 | ||
| 2 | 300 | 317.143 | 320 | 330 | 335.294 | 342.857 | 350 | 360 | ||
| 3 | 450 | 475.714 | 480 | 495 | 502.941 | 514.286 | 525 | 540 | ||
| 4 | 600 | 634.286 | 640 | 660 | 670.588 | 685.714 | 700 | 720 | ||
| 5 | 750 | 792.857 | 800 | 825 | 838.235 | 857.143 | 875 | 900 | ||
| 6 | 900 | 951.429 | 960 | 990 | 1005.882 | 1028.571 | 1050 | 1080 | ||
| 7 | 1050 | 1110 | 1120 | 1155 | 1173.529 | 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-13c | Min-Max-13c | Min-Med | Min-Med | Med-Max-13c | Min-Med+13c | Min-Max+13c | Med-Max | Med-Max+13c |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 157.246 | 157.911 | 158.871 | 159.536 | 159.834 | 160.496 | 161.161 | 161.469 | 163.084 |
| 2 | 314.491 | 315.822 | 317.741 | 319.0725 | 319.668 | 320.991 | 322.322 | 322.938 | 326.168 |
| 3 | 471.737 | 473.734 | 476.612 | 478.609 | 479.502 | 481.487 | 483.484 | 484.407 | 489.252 |
| 4 | 628.982 | 631.645 | 635.482 | 638.145 | 639.335 | 641.982 | 644.645 | 645.876 | 652.336 |
| 5 | 786.227 | 789.556 | 794.353 | 797.681 | 799.17 | 802.478 | 805.806 | 807.345 | 815.42 |
| 6 | 943.4735 | 947.467 | 953.2235 | 957.317 | 959.003 | 962.9735 | 966.967 | 968.814 | 978.504 |
| 7 | 1100.719 | 1105.379 | 1112.094 | 1116.754 | 1118.838 | 1123.469 | 1128.129 | 1130.263 | 1141.588 |
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 | 165.316 | 166.789 | 166.941 | 168.414 | 168.566 | 170.039 | 171.04 |
| 2 | 330.633 | 333.578 | 333.883 | 336.828 | 337.133 | 340.078 | 342.081 |
| 3 | 495.949 | 500.3675 | 500.824 | 505.2425 | 505.699 | 510.1175 | 513.121 |
| 4 | 661.265 | 667.157 | 667.765 | 673.658 | 674.265 | 680.157 | 684.161 |
| 5 | 826.5815 | 833.946 | 834.7065 | 842.071 | 842.8315 | 850.196 | 855.202 |
| 6 | 991.898 | 1000.735 | 1000.648 | 1010.485 | 1011.398 | 1020.235 | 1026.242 |
| 7 | 1157.241 | 1167.524 | 1168.589 | 1178.899 | 1179.964 | 1190.274 | 1197.282 |
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 | 172.429 | 172.665 | 174.054 | 174.29 | 175.075 | 175.679 | 176.7 | 178.325 |
| 2 | 344.857 | 345.331 | 348.107 | 348.581 | 350.1495 | 351.357 | 353.3995 | 356.3495 |
| 3 | 517.286 | 517.996 | 522.161 | 522.871 | 525.224 | 527.036 | 530.099 | 536.974 |
| 4 | 689.7145 | 690.661 | 696.2145 | 697.161 | 700.299 | 702.7145 | 706.799 | 713.299 |
| 5 | 862.143 | 863.367 | 870.268 | 871.452 | 875.374 | 878.393 | 883.499 | 891.624 |
| 6 | 1034.572 | 1035.992 | 1044.321 | 1045.742 | 1050.448 | 1054.072 | 1060.198 | 1069.498 |
| 7 | 1207 | 1208.657 | 1218.375 | 1220.032 | 1225.523 | 1229.75 | 1236.898 | 1248.273 |