Generic Shapes Item 5, a 7th chord as a 4GSE (4-note Generic Shapes using 1357)

This GS is the last of five, 4-note Generic Shapes which were outlined 4 blogs ago. It spells out a 7th chord, being 1357. It is likely the most familiar 4-note shape so it presents itself with inversions (R) quite handily. The remaining permutations operate the same as the others. To review: 4GSE can be treated with 6 Basic Permutations (BP), 4 Rotations (R), and 4 Staggered Starts (S) as before. The permutation process is outlined in Figure 1 below, using CMa7 as an example.

Figure 1.

Basic Permutation: BP1—6

CMa7:    BP1                 BP2                 BP3                  BP4                 BP5                   BP6  
             1357..................7531................1537.................7351................1375.................7513
             Prograde........... Retrograde...... Prograde..........Retrograde......Prograde..........Retrograde

Rotations: R1—4
               R1                                 R2                                R3                               R4
                1357............................3571(8)........................5783............................7835        

Rotations: R1—4 in a comparative view: all from a single bottom note (C).

               R1                                 R2                                R3                                R4
              1357..............................1356............................1346.............................1246
intervals:  3.......3........3                 3.......3.......2                 3......2.......3                 2.......3.......3          

Staggered Starts: S1—S4 (CMa7 in BP1 and R1)

              S1                                S2                                  S3                                  S4
               1357.............................3571............................5713..............................7135

Staggered Starts: S1—S4 in an ascending scale-tone sequence.

             S1                                  S2                                 S3                                S4
            1357.............................3571............................5713..............................7135
            CMa7.............................Dmi7...........................Emi7............................FMa7 etc.

 The 96 possible 4GSE (1357) using a CMa7 as an example.

Figure 2.

Remember that this is just an exposition (of sorts) outlining all five 4-note shapes in BP, R, and S.

 I don't expect that I'll learn them all in every way possible but I will learn a few and work with those and try to work in a process. It takes time and effort as any successful musician will know. Happy Hunting.