(con't from Part XXX)
As J.S. Bach has amply demonstrated, when we're composing there are many, many ways, once we've written a keyboard fugue, to "pair it" with a related prelude (photo).
A prelude and a fugue, as a pair, do not have to spring from the same ideas; most of the preludes and fugues of J.S. Bach, the strongest fugue writer of all time, in fact showed no thematic or rhythmic connections whatsoever.
But when they do (as in his "great" d minor Toccata and Fugue BWV 565 for organ) the listener senses a very strong inner unity in the entire work [See blog, Bach d minor, Parts I-V].
When the fugue which follows the prelude has 4 voices, 2 countersubjects, and a free soprano line somewhere that exhibits possibilities for development, we can use that same line as the theme for the prelude, building it into a piece with one theme; this prelude might then be given the same 6-part improvisational treatment that Louis Vierne taught his students when developing a single free theme [See blog, Learning By Example].
If this procedure is followed the prelude theme, when it suddenly reenters later in the fugue during one of the entries, is a novelty which lends a certain interest and connective with the prelude; it seems in fact so cunningly woven into the fabric of the fugue that it almost disappears in plain sight.
In the real world of composing however, this is merely an illusion; the fugue in fact is written first and the prelude is completely built from one of the fugue's free voices.
To compose a work like this we proceed like an artist proceeds to paint a landscape on a blank canvas, i.e. we paint from back to front, starting with a finished fugue for a background and then proceed to construct the prelude in the foreground that's thematically related to it.
What's intriguing here is, even careful listeners may not at first recognize that the prelude's theme is hidden in the fugue; in the case of the a minor Op. 25 Fugue appears in the Fugue only once, and when it does, even though it's in the soprano line, it's virtually camouflaged by all of the busy melodic movement going on underneath it.
The score for the a minor Op. 25 Prelude & Fugue is an example where both partners are completely unrelated except for one thing: the theme for the Prelude is used one time in the Fugue, in just one place, as a free voice which completes a 4 part texture.
The Fugue is in 4 voices with 2 countersubjects and a subject 5 bars long which first enters in the tenor on the 1st scale degree and is supplied with a real answer in the dominant in the alto on the 5th scale degree, as expected according to common practice [See blog, Getting Started With Writing, Part XX]; a short passage of 2 bars allows a smooth return from the dominant to the home key in preparation for the 3rd entry.
The 3rd entry is in the soprano with the 1st countersubject in the alto and the 2nd countersubject in the tenor, again as expected.
The 4th entry is in the bass with the 1st countersubject in the soprano, the 2nd countersubject in the alto, and the free voice in the tenor, again, all as expected.
Additional entries of the subject in the expositions which follow proceed through all nearly related keys in this order: C Major, e minor, G Major, d minor, and F Major, with a return to the home key for the final entry; these expositions are each separated by 4 bar modulating episodes employing sequences based upon fragments of the subject or countersubjects, sometimes in inverse movement.
When the subject enters in d minor in the alto, the 1st countersubject enters in the tenor, the 2nd countersubject in the bass, and a free voice fills in the soprano to complete a 4 voice texture; it's this free voice which will become the theme for the Prelude.
The subject enters in the lowest octave of the pedals for the final entry, following many examples left to us by J.S. Bach; a short coda of 6 bars over a dominant pedal point rounds out the work which finishes with great finality on a Picardy 3rd; the work ends in 6 voices employing a trill and with an anticipation on the penultimate chord in the top line.
As for the Prelude, it's constructed in the 6-part improvisational form which Louis Vierne taught his students to employ for improvisation on a single free theme [See blog, Learning By Example, Getting Started With Writing, Part XXXII]; here the top line from the d minor entry in the Fugue is used for the theme of the Prelude.
This Prelude begins with 2 bars of introductory material; it employs the first bar of the theme in inverse movement in the tenor line over a reiterated low A in the pedal.
The theme then enters in the soprano line and is harmonized in 4 parts over the course of the next 7 bars, ending in a perfect cadence in the home key; this completes the 1st exposition of the theme.
Part 2 is a bridge section of 6 bars consisting of 2 short phrases of 3 bars each which outline the first bar of the theme, first right side up and then in inverse movement, and modulates to the raised submediant key (f# minor).
Part 3 is the 2nd exposition of the theme in f# minor; here again the theme enters in the soprano, but this time with the tenor line following it in imitation at the distance of a half bar at the interval of a 5th; this continues for 7 bars, is harmonized in 4 parts, and ends with a perfect cadence.
What follows is a section 20 bars in length which develops the first bar of the theme in inverse movement; this development section begins in the parallel major key (A Major) and modulates through the keys of C Major, Eb Major, d minor, and b minor before coming to stop which points back to f# minor.
Part 5 is a passage of 4 bars which functions as the preparation for the reentry; it consists of 2 phrases each 2 bars long which modulates from f# minor to g minor and finally points to the home key.
The final 6th section is the reentry of the theme in the top line, in the home key, which is harmonized again in 4 voices.
A coda of 8 bars concludes the piece; in this coda the theme is reiterated slowly in the pedal and segmented until nothing is left of it but a single tonic note; the work ends very quietly in the primitive gloom of the home key.
The way this Prelude is put together, particularly the development section with its several excursions into distant keys and the employment of the raised submediant key in the 2nd entry, will repay careful study and may be used as a model for any number of similar works.
All of this composer's Fugues are worked in 4 voices, either in triple or quadruple counterpoint, and none have only one countersubject; there's a reason for this:
The variety of effect this creates from the several combinations of each subject with its 2 or 3 countersubjects sounding in triple or quadruple counterpoint made this a favorite method with Bach, whose music provides many examples of fugues of sturdy build, the main structural supports of which are well-spaced entries of these same moving lines in different positions and keys.
It may be that this work and the Opus numbers which follow it, by plowing in a compositional furrow all their own, have broken new ground; the pairing process used to create them, i.e., of first taking a prelude constructed upon a single free theme treated in the 6-part improvisational form favored by Louis Vierne, albeit modified and compressed, and then joining it with a related 4 voice fugue worked in either triple or quadruple counterpoint (a method favored by J.S. Bach), seems to represent a new synthesis so far as this author can determine, something unique to the world of organ composition.
(con't in Part XXXII)