The Musician's Guide to Theory and Analysis
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Because this pattern of harmonized chromatic lines in contrary motion is so distinctive, it has a special name: the omnibus progression. The omnibus progression is most often used to prolong a dominant seventh harmony. Since the voices that exchange when prolonging a dominant seventh may span a tritone, which divides the octave in half, it is possible for the omnibus progression to continue until the exchanged voices are where they began (but up or down an octave). The tritone voice exchange is "filled in" chromatically-thus, the omnibus progression may be seen as a harmonization of the complete chromatic scale. The voice exchange may also reverse direction, returning chromatically to the original pitches with which the progression began. When you analyze an omnibus progression, like any other chromaticized voice exchange, simply label the harmony that is prolonged to capture the function of the progression.

If you want to learn more about the omnibus progression, check out Robert W. Wason's Viennese Harmonic Theory: From Albrechtsberger to Schenker and Schoenberg (Ann Arbor, Mich.: UMI Research Press, 1984). Wason cites discussions of this type of progression beginning with Georg Joseph Vogler (1749-1814).