Modal System: 0 1 2 3 6 7 8 10

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(mode 0) 0:  0 1 2 3 6 7  8 10 |
(mode 1) 1:  0 1 2 5 6 7  9 11 |
(mode 2) 2:  0 1 4 5 6 8 10 11 | Persian scale
(mode 3) 3:  0 3 4 5 7 9 10 11 |
(mode 4) 6:  0 1 2 4 6 7  8  9 |
(mode 5) 7:  0 1 3 5 6 7  8 11 |
(mode 6) 8:  0 2 4 5 6 7 10 11 |
(mode 7) 10: 0 2 3 4 5 8  9 10 |

Clock Diagrams of All 12 Transpositions in Cycle of 5ths T Geometric x7 Spectral x7 Geometric x1 Spectral x1 Chord Types Sorted By Rootedness 0 1.425(mode 3)3:0 3 4 5 7 9 10 11 | 1.133(mode 6)8:0 2 4 5 6 7 10 11 | 1.025(mode 4)6:0 1 2 4 6 7 8 9 | .867(mode 0)0:0 1 2 3 6 7 8 10 | .642(mode 1)1:0 1 2 5 6 7 9 11 | .433(mode 7)10:0 2 3 4 5 8 9 10 | .417(mode 5)7:0 1 3 5 6 7 8 11 | .225(mode 2)2:0 1 4 5 6 8 10 11 |Persian scale 7 1.425(mode 7)10:0 3 4 5 7 9 10 11 | 1.133(mode 2)3:0 2 4 5 6 7 10 11 | 1.025(mode 0)1:0 1 2 4 6 7 8 9 | .867(mode 4)7:0 1 2 3 6 7 8 10 | .642(mode 5)8:0 1 2 5 6 7 9 11 | .433(mode 3)5:0 2 3 4 5 8 9 10 | .417(mode 1)2:0 1 3 5 6 7 8 11 | .225(mode 6)9:0 1 4 5 6 8 10 11 |Persian scale 2 1.425(mode 4)5:0 3 4 5 7 9 10 11 | 1.133(mode 7)10:0 2 4 5 6 7 10 11 | 1.025(mode 5)8:0 1 2 4 6 7 8 9 | .867(mode 1)2:0 1 2 3 6 7 8 10 | .642(mode 2)3:0 1 2 5 6 7 9 11 | .433(mode 0)0:0 2 3 4 5 8 9 10 | .417(mode 6)9:0 1 3 5 6 7 8 11 | .225(mode 3)4:0 1 4 5 6 8 10 11 |Persian scale 9 1.425(mode 0)0:0 3 4 5 7 9 10 11 | 1.133(mode 3)5:0 2 4 5 6 7 10 11 | 1.025(mode 1)3:0 1 2 4 6 7 8 9 | .867(mode 5)9:0 1 2 3 6 7 8 10 | .642(mode 6)10:0 1 2 5 6 7 9 11 | .433(mode 4)7:0 2 3 4 5 8 9 10 | .417(mode 2)4:0 1 3 5 6 7 8 11 | .225(mode 7)11:0 1 4 5 6 8 10 11 |Persian scale 4 1.425(mode 5)7:0 3 4 5 7 9 10 11 | 1.133(mode 0)0:0 2 4 5 6 7 10 11 | 1.025(mode 6)10:0 1 2 4 6 7 8 9 | .867(mode 2)4:0 1 2 3 6 7 8 10 | .642(mode 3)5:0 1 2 5 6 7 9 11 | .433(mode 1)2:0 2 3 4 5 8 9 10 | .417(mode 7)11:0 1 3 5 6 7 8 11 | .225(mode 4)6:0 1 4 5 6 8 10 11 |Persian scale 11 1.425(mode 2)2:0 3 4 5 7 9 10 11 | 1.133(mode 5)7:0 2 4 5 6 7 10 11 | 1.025(mode 3)5:0 1 2 4 6 7 8 9 | .867(mode 7)11:0 1 2 3 6 7 8 10 | .642(mode 0)0:0 1 2 5 6 7 9 11 | .433(mode 6)9:0 2 3 4 5 8 9 10 | .417(mode 4)6:0 1 3 5 6 7 8 11 | .225(mode 1)1:0 1 4 5 6 8 10 11 |Persian scale 6 1.425(mode 7)9:0 3 4 5 7 9 10 11 | 1.133(mode 2)2:0 2 4 5 6 7 10 11 | 1.025(mode 0)0:0 1 2 4 6 7 8 9 | .867(mode 4)6:0 1 2 3 6 7 8 10 | .642(mode 5)7:0 1 2 5 6 7 9 11 | .433(mode 3)4:0 2 3 4 5 8 9 10 | .417(mode 1)1:0 1 3 5 6 7 8 11 | .225(mode 6)8:0 1 4 5 6 8 10 11 |Persian scale 1 1.425(mode 3)4:0 3 4 5 7 9 10 11 | 1.133(mode 6)9:0 2 4 5 6 7 10 11 | 1.025(mode 4)7:0 1 2 4 6 7 8 9 | .867(mode 0)1:0 1 2 3 6 7 8 10 | .642(mode 1)2:0 1 2 5 6 7 9 11 | .433(mode 7)11:0 2 3 4 5 8 9 10 | .417(mode 5)8:0 1 3 5 6 7 8 11 | .225(mode 2)3:0 1 4 5 6 8 10 11 |Persian scale 8 1.425(mode 7)11:0 3 4 5 7 9 10 11 | 1.133(mode 2)4:0 2 4 5 6 7 10 11 | 1.025(mode 0)2:0 1 2 4 6 7 8 9 | .867(mode 4)8:0 1 2 3 6 7 8 10 | .642(mode 5)9:0 1 2 5 6 7 9 11 | .433(mode 3)6:0 2 3 4 5 8 9 10 | .417(mode 1)3:0 1 3 5 6 7 8 11 | .225(mode 6)10:0 1 4 5 6 8 10 11 |Persian scale 3 1.425(mode 4)6:0 3 4 5 7 9 10 11 | 1.133(mode 7)11:0 2 4 5 6 7 10 11 | 1.025(mode 5)9:0 1 2 4 6 7 8 9 | .867(mode 1)3:0 1 2 3 6 7 8 10 | .642(mode 2)4:0 1 2 5 6 7 9 11 | .433(mode 0)1:0 2 3 4 5 8 9 10 | .417(mode 6)10:0 1 3 5 6 7 8 11 | .225(mode 3)5:0 1 4 5 6 8 10 11 |Persian scale 10 1.425(mode 1)1:0 3 4 5 7 9 10 11 | 1.133(mode 4)6:0 2 4 5 6 7 10 11 | 1.025(mode 2)4:0 1 2 4 6 7 8 9 | .867(mode 6)10:0 1 2 3 6 7 8 10 | .642(mode 7)11:0 1 2 5 6 7 9 11 | .433(mode 5)8:0 2 3 4 5 8 9 10 | .417(mode 3)5:0 1 3 5 6 7 8 11 | .225(mode 0)0:0 1 4 5 6 8 10 11 |Persian scale 5 1.425(mode 6)8:0 3 4 5 7 9 10 11 | 1.133(mode 1)1:0 2 4 5 6 7 10 11 | 1.025(mode 7)11:0 1 2 4 6 7 8 9 | .867(mode 3)5:0 1 2 3 6 7 8 10 | .642(mode 4)6:0 1 2 5 6 7 9 11 | .433(mode 2)3:0 2 3 4 5 8 9 10 | .417(mode 0)0:0 1 3 5 6 7 8 11 | .225(mode 5)7:0 1 4 5 6 8 10 11 |Persian scale General Statistics Cardinality: 8 Forte Number: 8-16 Forte Prime Form: [0,1,2,3,5,7,8,9] Interval Stacking: 1 1 1 3 1 1 2 2 Interval Vector: 5 5 4 5 6 3 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.252 Harmonic Adjacency (0-1): 0.608 Modal-system-invariant under multiplication by: 1 All Transpositions +0= 0 1 2 3 6 7 8 10 | +1= 1 2 3 4 7 8 9 11 | +2= 0 2 3 4 5 8 9 10 | +3= 1 3 4 5 6 9 10 11 | +4= 0 2 4 5 6 7 10 11 | +5= 0 1 3 5 6 7 8 11 | +6= 0 1 2 4 6 7 8 9 | +7= 1 2 3 5 7 8 9 10 | +8= 2 3 4 6 8 9 10 11 | +9= 0 3 4 5 7 9 10 11 | +10= 0 1 4 5 6 8 10 11 |Persian scale +11= 0 1 2 5 6 7 9 11 | Modes: (mode 0) 0: 0 1 2 3 6 7 8 10 | (mode 1) 1: 0 1 2 5 6 7 9 11 | (mode 2) 2: 0 1 4 5 6 8 10 11 | Persian scale (mode 3) 3: 0 3 4 5 7 9 10 11 | (mode 4) 6: 0 1 2 4 6 7 8 9 | (mode 5) 7: 0 1 3 5 6 7 8 11 | (mode 6) 8: 0 2 4 5 6 7 10 11 | (mode 7) 10: 0 2 3 4 5 8 9 10 | Modes Sorted by Rootedness: 1.425(mode 3)3:0 3 4 5 7 9 10 11 | 1.133(mode 6)8:0 2 4 5 6 7 10 11 | 1.025(mode 4)6:0 1 2 4 6 7 8 9 | .867(mode 0)0:0 1 2 3 6 7 8 10 | .642(mode 1)1:0 1 2 5 6 7 9 11 | .433(mode 7)10:0 2 3 4 5 8 9 10 | .417(mode 5)7:0 1 3 5 6 7 8 11 | .225(mode 2)2:0 1 4 5 6 8 10 11 |Persian scale Modal Systems Home Page Standard Chord Types Index Collapsible Chord Types Index All Chord Types Arpeggiated in All Keys (Standard Notation, Treble Clef) The information on this page uses the Jordan 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