3-6-Consecutive, 6-3-Consecutive, 8-3-Consecutive

Introduction

In the upcoming exercises the third will be used as a starting point to develop simple small sequence models.

I will show you the  3-6 consecutive and its inversion, the 6-3 consecutive, as an example of such.

The models shown here seem at first pretty simple, but nevertheless  they can be derived in a complex-multidimensional way.

 

In the following, the structures of these models are going to be illustrated by short examples.

 

As a starting point, two voices are led down in parallel thirds:

The upper voice is figured by Superjectio:

The lower voice is figured by Subsumtio:

The two figured voices get combined:

Viewed vertically, they create a consecutive chain of thirds and sixths (3-6 consecutive):

In horizontal viewing, a canonical third structure takes visible shape:

Likewise, a secondary canonical structure can be revealed:

The 3-6-consecutive...

...is also applicable in its inversion. The result is the 6-3 consecutive:

In the 6-3 consecutive is no longer the third, but its inversion - the sixth - in the center.

The following exercises of the two consecutive chains can be distributed to both hands as well as be played one-handed.

The one-handed version is technically more sophisticated, but also technically more intuitive and visually easier, thereby facilitating the understanding of the compositional structures and relations. 

If you practice both hands individually, the model can even be assembled into beautiful, four-part variants in form of a double canon:

Exercise: