This is the neutral scale of the Vesuvius temperament family. It also gives every other period of the 16th-decade Roccocavallo branch of the Carrera temperament family.

Intervals

Decade Period Notes
6\5 180 Intense Aeolian-Subpental Dorian mode begins
17\14 182.143
11\9 183.3 Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
16\13 184.615
21\17 185.294
26\21 185.714
31\25 186
5\4 187,5 Subpental Dorian mode ends, Pental Dorian mode begins
34\27 188.8
29\23 189.13
24\19 189.474
19\15 190
14\11 190.90 Pental Dorian mode ends, Superpental Dorian mode begins
23\18 191.6
9\7 192.857 Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
31\24 193
22\17 194.118 Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
35\27 194.4
13\10 195 Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
17\13 196.154
21\16 196.875 Subpental Mixolydian mode ends, Pental Mixolydian mode begins
25\19 197.37
29\22 197.72
33\25 198
37\28 198.214
41\31 198.387
4\3 200 Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
35\26 201.923
31\23 202.174
27\20 202.5
23\17 202.941
19\14 203.571
15\11 204.54 Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
26\19 205.263
11\8 206.25 Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
18\13 207.692
25\18 208.3
7\5 210 Mixolydian-Ionian mode ends

Relative cents

Degrees Intense Aeolian-Subpental Dorian Dorian Dorian-Mixolydian
1 181.25 187.5 193.75
2 362.5 375 387.5
3 543.75 562.5 581.25
4 725 750 775
5 906.25 937.5 968.75
6 1087.5 1125 1162.5
7 1268.75 1312.5 1356.25
Degrees Subpental-Soft Superpental Mixolydian Intense Superpental Mixolydian ~ Mixolydian-Ionian
1 200 206.25
2 400 412.5
3 600 618.75
4 800 825
5 1000 1031.25
6 1200 1237.5
7 1400 1443.75

See also

  • 8ed5/2 - equal division of the classic major tenth
  • 8ed7/3 - equal division of the septimal minor tenth