Modal System: 0 1 2 3

"closed tetrachord modal system"

(mode 0) 0: 0 1  2  3 | chromatic tetrachord
(mode 1) 1: 0 1  2 11 |
(mode 2) 2: 0 1 10 11 |
(mode 3) 3: 0 9 10 11 |

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 1.042(mode 2)2:0 1 10 11 | 1.025(mode 3)3:0 9 10 11 | .975(mode 0)0:0 1 2 3 |chromatic tetrachord .958(mode 1)1:0 1 2 11 | 7 1.042(mode 2)9:0 1 10 11 | 1.025(mode 3)10:0 9 10 11 | .975(mode 0)7:0 1 2 3 |chromatic tetrachord .958(mode 1)8:0 1 2 11 | 2 1.042(mode 2)4:0 1 10 11 | 1.025(mode 3)5:0 9 10 11 | .975(mode 0)2:0 1 2 3 |chromatic tetrachord .958(mode 1)3:0 1 2 11 | 9 1.042(mode 3)11:0 1 10 11 | 1.025(mode 0)0:0 9 10 11 | .975(mode 1)9:0 1 2 3 |chromatic tetrachord .958(mode 2)10:0 1 2 11 | 4 1.042(mode 2)6:0 1 10 11 | 1.025(mode 3)7:0 9 10 11 | .975(mode 0)4:0 1 2 3 |chromatic tetrachord .958(mode 1)5:0 1 2 11 | 11 1.042(mode 1)1:0 1 10 11 | 1.025(mode 2)2:0 9 10 11 | .975(mode 3)11:0 1 2 3 |chromatic tetrachord .958(mode 0)0:0 1 2 11 | 6 1.042(mode 2)8:0 1 10 11 | 1.025(mode 3)9:0 9 10 11 | .975(mode 0)6:0 1 2 3 |chromatic tetrachord .958(mode 1)7:0 1 2 11 | 1 1.042(mode 2)3:0 1 10 11 | 1.025(mode 3)4:0 9 10 11 | .975(mode 0)1:0 1 2 3 |chromatic tetrachord .958(mode 1)2:0 1 2 11 | 8 1.042(mode 2)10:0 1 10 11 | 1.025(mode 3)11:0 9 10 11 | .975(mode 0)8:0 1 2 3 |chromatic tetrachord .958(mode 1)9:0 1 2 11 | 3 1.042(mode 2)5:0 1 10 11 | 1.025(mode 3)6:0 9 10 11 | .975(mode 0)3:0 1 2 3 |chromatic tetrachord .958(mode 1)4:0 1 2 11 | 10 1.042(mode 0)0:0 1 10 11 | 1.025(mode 1)1:0 9 10 11 | .975(mode 2)10:0 1 2 3 |chromatic tetrachord .958(mode 3)11:0 1 2 11 | 5 1.042(mode 2)7:0 1 10 11 | 1.025(mode 3)8:0 9 10 11 | .975(mode 0)5:0 1 2 3 |chromatic tetrachord .958(mode 1)6:0 1 2 11 | Modal System Fun Facts 0 1 2 3 Inversionally Symmetrical Melodic adjacency = 1 (maximum). General Statistics Cardinality: 4 Forte Number: 4-1 Forte Prime Form: [0,1,2,3] Interval Stacking: 1 1 1 9 Interval Vector: 3 2 1 0 0 0 Inversional Symmetry: yes (axes of symmetry: 1.5 7.5) Transpositional Symmetry: no Melodic Adjacency (0-1): 1.000 Harmonic Adjacency (0-1): 0.354 Modal-system-invariant under multiplication by: 1 11 All Transpositions +0= 0 1 2 3 |chromatic tetrachord +1= 1 2 3 4 | +2= 2 3 4 5 | +3= 3 4 5 6 | +4= 4 5 6 7 | +5= 5 6 7 8 | +6= 6 7 8 9 | +7= 7 8 9 10 | +8= 8 9 10 11 | +9= 0 9 10 11 | +10= 0 1 10 11 | +11= 0 1 2 11 | Modes: (mode 0) 0: 0 1 2 3 | chromatic tetrachord (mode 1) 1: 0 1 2 11 | (mode 2) 2: 0 1 10 11 | (mode 3) 3: 0 9 10 11 | Modes Sorted by Rootedness: 1.042(mode 2)2:0 1 10 11 | 1.025(mode 3)3:0 9 10 11 | .975(mode 0)0:0 1 2 3 |chromatic tetrachord .958(mode 1)1:0 1 2 11 | 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