A Study on Digital Analysis of Bach’s “Two-Part Inventions”

Table 6

Tonality changes in pieces of Bach’s Two-Part Inventions (based on Krumhansl’s model). The spaces listed in the third column are minimum interval spaces of the piece’s tonalities after the major and relative minor formed loops in which the relative minor and major connect together and the first column connects to last column in Tables 4 and 5.

Works	Main tonalities	Spaces
Number 1	Major C, Major G, Minor D, and Minor E	1
Number 2	Minor G, Rising Major A, Minor c, and Major C	2
Number 3	Major A, Minor B, and Major D	1
Number 4	Minor D, Minor A, and Major C	2
Number 5	Rising Major D, Minor F, and Rising Major G	1
Number 6	Major B, Major E	1
Number 8	Major F, Major C, Minor D, and Major A	1
Number 13	Minor E, Major C, and Minor A	1
Number 14	Rising Major F, Rising Major A, and Major D	2