What Is a Cross-Relation?

Usually, a chromatic alteration of a note follows the other version of that note in the same part. Such a chromatic step is also called a passus duriusculus.

However, when a chromatic alteration of a note follows the other version of that note in another part, this is usually considered to be erroneous, an error called a false relation or a cross-relation.

Yet composers are not always bothered by this rule, as the following example illustrates:

J.S. Bach, Fugue in C minor BWV847 (Well-Tempered Clavier I), bars 16–18, Bach-Gesellschaft Ausgabe, Band 14 (Leipzig: Breitkopf & Härtel, 1866), public domain, available on https://imslp.org

And cross-relations “that result from the simultaneous use of the ascending and descending forms of the melodic minor scale are common in this [i.e. the Baroque] style and are generally acceptable” (Kennan (1999), p. 56):

J.S. Bach, Sinfonia in C major BWV787, bars 10–15, Bach-Gesellschaft Ausgabe, Band 3 (Leipzig: Breitkopf & Härtel, 1853), public domain, available on https://imslp.org

Select Bibliography

Kennan, Kent. Counterpoint Based on Eighteenth-Century Practice — Fourth Edition (New Jersey: Prentice-Hall, 1999).