Richard Bass, Review of Chromatic Transformations in Nineteenth-Century Music

Table 1. Kopp's Triadic Transformation Types

Label Root Movement/Mode No. of
Common
Tones
Example
I "Identity"; no change 3 C major to C major
P "Parallel" mode; same root 2 C major to C minor, and vice versa
D Down a perfect fifth; same mode 1 C major to F major, or C minor to F minor
D-1 Up a perfect fifth; same mode 1 C major to G major, or C minor to G minor
F Down a perfect fifth; mode change 1 C major to F minor, or C minor to F major
F-1 Up a perfect fifth; mode change 1 C major to G minor, or C minor to G major
R Up or down a major third to a related chord; mode change 2 C major to E minor, and vice versa
r Up or down a minor third to a related chord; mode change 2 C major to A minor, and vice versa
M Down a major third to a chromatic mediant; same mode 1 C major to Ab major, or C minor to Ab minor
M-1 Up a major third to a chromatic mediant; same mode 1 C major to E major, or C minor to E minor
m Down a minor third to a chromatic mediant; same mode 1 C major to A major, or C minor to A minor
m-1 Up a minor third to a chromatic mediant; same mode 1 C major to Eb major, or C minor to Eb minor
S "Slide"; up or down by semitone; mode change 1 C major to C# minor, and vice versa