Modal System: 0 1 2 5 6 9

"M#13#9 no 11th"

(mode 0) 0: 0 1 2 5  6  9 |
(mode 1) 1: 0 1 4 5  8 11 |
(mode 2) 2: 0 3 4 7 10 11 | M#13#9 no 11th = Schoenberg hexachord
(mode 3) 5: 0 1 4 7  8  9 | Schoenberg hexachord
(mode 4) 6: 0 3 6 7  8 11 | mM7#11b13 no 9th = Schoenberg hexachord
(mode 5) 9: 0 3 4 5  8  9 |

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 1.992(mode 2)2:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 3)5:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 4)6:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)1:0 1 4 5 8 11 | .433(mode 5)9:0 3 4 5 8 9 | .092(mode 0)0:0 1 2 5 6 9 | 7 1.992(mode 5)9:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 0)0:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 1)1:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 2)4:0 3 4 5 8 9 | .433(mode 4)8:0 1 4 5 8 11 | .092(mode 3)7:0 1 2 5 6 9 | 2 1.992(mode 2)4:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 3)7:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 4)8:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)3:0 1 4 5 8 11 | .433(mode 5)11:0 3 4 5 8 9 | .092(mode 0)2:0 1 2 5 6 9 | 9 1.992(mode 5)11:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 0)2:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 1)3:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 2)6:0 3 4 5 8 9 | .433(mode 4)10:0 1 4 5 8 11 | .092(mode 3)9:0 1 2 5 6 9 | 4 1.992(mode 3)6:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 4)9:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 5)10:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 0)1:0 3 4 5 8 9 | .433(mode 2)5:0 1 4 5 8 11 | .092(mode 1)4:0 1 2 5 6 9 | 11 1.992(mode 1)1:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 2)4:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 3)5:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 0)0:0 1 4 5 8 11 | .433(mode 4)8:0 3 4 5 8 9 | .092(mode 5)11:0 1 2 5 6 9 | 6 1.992(mode 4)8:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 5)11:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 0)0:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)3:0 3 4 5 8 9 | .433(mode 3)7:0 1 4 5 8 11 | .092(mode 2)6:0 1 2 5 6 9 | 1 1.992(mode 2)3:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 3)6:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 4)7:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)2:0 1 4 5 8 11 | .433(mode 5)10:0 3 4 5 8 9 | .092(mode 0)1:0 1 2 5 6 9 | 8 1.992(mode 5)10:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 0)1:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 1)2:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 2)5:0 3 4 5 8 9 | .433(mode 4)9:0 1 4 5 8 11 | .092(mode 3)8:0 1 2 5 6 9 | 3 1.992(mode 3)5:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 4)8:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 5)9:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 0)0:0 3 4 5 8 9 | .433(mode 2)4:0 1 4 5 8 11 | .092(mode 1)3:0 1 2 5 6 9 | 10 1.992(mode 0)0:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 1)3:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 2)4:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 3)7:0 3 4 5 8 9 | .433(mode 5)11:0 1 4 5 8 11 | .092(mode 4)10:0 1 2 5 6 9 | 5 1.992(mode 3)7:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 4)10:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 5)11:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 0)2:0 3 4 5 8 9 | .433(mode 2)6:0 1 4 5 8 11 | .092(mode 1)5:0 1 2 5 6 9 | General Statistics Cardinality: 6 Forte Number: 6-z44 Forte Prime Form: [0,1,2,5,6,9] Interval Stacking: 1 1 3 1 3 3 Interval Vector: 3 1 3 4 3 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.447 Harmonic Adjacency (0-1): 0.516 Modal-system-invariant under multiplication by: 1 All Transpositions +0= 0 1 2 5 6 9 | +1= 1 2 3 6 7 10 | +2= 2 3 4 7 8 11 | +3= 0 3 4 5 8 9 | +4= 1 4 5 6 9 10 | +5= 2 5 6 7 10 11 | +6= 0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord +7= 0 1 4 7 8 9 |Schoenberg hexachord +8= 1 2 5 8 9 10 | +9= 2 3 6 9 10 11 | +10= 0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord +11= 0 1 4 5 8 11 | Modes: (mode 0) 0: 0 1 2 5 6 9 | (mode 1) 1: 0 1 4 5 8 11 | (mode 2) 2: 0 3 4 7 10 11 | M#13#9 no 11th = Schoenberg hexachord (mode 3) 5: 0 1 4 7 8 9 | Schoenberg hexachord (mode 4) 6: 0 3 6 7 8 11 | mM7#11b13 no 9th = Schoenberg hexachord (mode 5) 9: 0 3 4 5 8 9 | Modes Sorted by Rootedness: 1.992(mode 2)2:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 3)5:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 4)6:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)1:0 1 4 5 8 11 | .433(mode 5)9:0 3 4 5 8 9 | .092(mode 0)0:0 1 2 5 6 9 | 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 Chromatic System Click here to learn the Jordan Chromatic System Integral Arts Academy Home Page Copyright © 2020–2022 Stanley Jordan

T	Geometric x7	Spectral x7	Geometric x1	Spectral x1	Chord Types Sorted By Rootedness
0					1.992(mode 2)2:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 3)5:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 4)6:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)1:0 1 4 5 8 11 \| .433(mode 5)9:0 3 4 5 8 9 \| .092(mode 0)0:0 1 2 5 6 9 \|
7					1.992(mode 5)9:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 0)0:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 1)1:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 2)4:0 3 4 5 8 9 \| .433(mode 4)8:0 1 4 5 8 11 \| .092(mode 3)7:0 1 2 5 6 9 \|
2					1.992(mode 2)4:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 3)7:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 4)8:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)3:0 1 4 5 8 11 \| .433(mode 5)11:0 3 4 5 8 9 \| .092(mode 0)2:0 1 2 5 6 9 \|
9					1.992(mode 5)11:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 0)2:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 1)3:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 2)6:0 3 4 5 8 9 \| .433(mode 4)10:0 1 4 5 8 11 \| .092(mode 3)9:0 1 2 5 6 9 \|
4					1.992(mode 3)6:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 4)9:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 5)10:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 0)1:0 3 4 5 8 9 \| .433(mode 2)5:0 1 4 5 8 11 \| .092(mode 1)4:0 1 2 5 6 9 \|
11					1.992(mode 1)1:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 2)4:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 3)5:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 0)0:0 1 4 5 8 11 \| .433(mode 4)8:0 3 4 5 8 9 \| .092(mode 5)11:0 1 2 5 6 9 \|
6					1.992(mode 4)8:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 5)11:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 0)0:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)3:0 3 4 5 8 9 \| .433(mode 3)7:0 1 4 5 8 11 \| .092(mode 2)6:0 1 2 5 6 9 \|
1					1.992(mode 2)3:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 3)6:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 4)7:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)2:0 1 4 5 8 11 \| .433(mode 5)10:0 3 4 5 8 9 \| .092(mode 0)1:0 1 2 5 6 9 \|
8					1.992(mode 5)10:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 0)1:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 1)2:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 2)5:0 3 4 5 8 9 \| .433(mode 4)9:0 1 4 5 8 11 \| .092(mode 3)8:0 1 2 5 6 9 \|
3					1.992(mode 3)5:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 4)8:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 5)9:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 0)0:0 3 4 5 8 9 \| .433(mode 2)4:0 1 4 5 8 11 \| .092(mode 1)3:0 1 2 5 6 9 \|
10					1.992(mode 0)0:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 1)3:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 2)4:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 3)7:0 3 4 5 8 9 \| .433(mode 5)11:0 1 4 5 8 11 \| .092(mode 4)10:0 1 2 5 6 9 \|
5					1.992(mode 3)7:0 3 4 7 10 11 \|M#13#9 no 11th = Schoenberg hexachord 1.317(mode 4)10:0 1 4 7 8 9 \|Schoenberg hexachord .967(mode 5)11:0 3 6 7 8 11 \|mM7#11b13 no 9th = Schoenberg hexachord .433(mode 0)2:0 3 4 5 8 9 \| .433(mode 2)6:0 1 4 5 8 11 \| .092(mode 1)5:0 1 2 5 6 9 \|