8edIX

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This is the neutral scale of the Napoli temperament family.

Intervals[edit]

Phrygian Mode (aka Double) Neapolitan Temperament

Degrees Minimum Mean Median Golden Maximum
1 see 8edo 157.5 163.636 164.127 165
2 315 327.273 328.254 330
3 472.5 490.909 492.381 495
4 630 654.5455 656.508 660
5 787.5 818.181 820.6345 825
6 945 981.818 984.7615 990
7 1102.5 1145.4545 1148.888 1155

Phrygian-Aeolian Mode Neapolitan Temperament

Degrees Minimum Golden Mean Median Maximum
1 165 166.941 168.214 170 see 7edo
2 330 333.883 336.429 340
3 495 500.824 504.643 510
4 660 667.765 672.857 680
5 825 834.7065 841.071 850
6 990 1000.648 1009.286 1020
7 1155 1168.589 1177.5 1190

Aeolian Mode Neapolitan Temperament

Degrees Minimum Golden Median ed(9/4) Mean Maximum
1 see 7edo 174.053 175 175.489 175.714 180
2 348.107 350 350.9775 351.429 360
3 522.161 525 526.466 527.143 540
4 696.2145 700 701.955 702.857 720
5 870.268 875 877.444 878.571 900
6 1044.321 1050 1052.9325 1054.286 1080
7 1218.375 1225 1228.421 1230 1260