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In pieces in this Two-part form the second portion is generally longer than the first; for the composer, by the time he has reached this second part, may consider the material sufficiently familiar to be expanded and varied by excursions into more remote keys, and by more intricate manipulations of the chief motive. In measure 11 we find a modulation to D minor and then, after some free treatment of the motive, we reach—in measure 15—a cadence in A minor. A long sequential passage brings us, through a modulation to the subdominant key of F major (in measures 18 and 19), to a strong closing cadence in the home key. It should be noticed that in this Invention and in some of the dance forms there is shown a strong leaning towards a tripartite division of the material as is indicated by the three cadences in measures 7, 15 and 22. Since, however, the middle part is lacking in any strong contrast—which is such an essential factor in the fully developed three-part form—it seems better to consider this piece, and others like it, as a tendency rather than as a complete embodiment of tripartite arrangement. It is expected that the music lover will take these Inventions for what they really are and not search in them for those notes of intense subjectivity and dramatic power so prevalent in modern music. They are merely little pieces—a "tour de force" in polyphonic ingenuity; music rejoicing in its own inherent vitality. Accepted in this spirit they are invigorating and charming.
The form in which polyphonic skill reaches its highest possibilities is the Fugue; and the immortal examples of this form are the Fugues of John Sebastian Bach, found in his Well-tempered Clavichord and in his mighty works for the organ. The fundamental structure of a fugue is implied in the term itself (from the Latin "fuga"—flight); that is, in a fugue the main theme or subject is always announced in a single voice, and the remaining voices, appearing successively in accordance with definite principles of key-relationship, seem to chase each other about and to flee from pursuit. The several stratified entrances of the subject are relieved by intermediate passages called "Episodes." An Episode, as shown by the derivation (ἰπί ὁδός, by the way), is something off the beaten path—a digression; and it is in these episodical portions of a fugue rather than in the formalistic portions that the genius of the composer shines forth. This is especially true of Bach, for almost any well-trained musician can invent a subject which will allow of satisfactory fugal treatment according to accepted usage; but no one save Bach has ever invented such free and fanciful episodes—so daring in scope and yet so closely connected with the main thought. The general effect of a fugue is cumulative: a massing and piling up of voices that lead to a carefully designed conclusion which, in some of Bach's organ fugues, is positively overwhelming. A fugue may be called a mighty crescendo, like the sound of many waters. There is a popular conception, or rather misconception, that a fugue is a labored, dull or even "dry" form of composition, meant only as an exhibition of pedantic skill, and quite beyond the reach of ordinary musical appreciation. Nothing is farther from the truth, as a slight examination of musical literature will show. For we see that the fugal form has been used to express well-nigh every form of human emotion, the sublime, the tragic, the romantic; very often the humorous and the fantastic. When we recall the irresistible sparkle and dash of Mozart's Magic Flute Overture, of the Overture to the Bartered Bride by Smetana, of the Finale of Mozart's Jupiter Symphony, and of many of the fugues in the Well-tempered Clavichord, it is evident that to call a fugue "dry" is an utter abuse of language. It is true that there are weak, artificial and dull fugues, where the composer—frankly—had nothing to say and merely filled out the form; but the same may be said of every type of composition, i.e., among them all are examples inspired and—less inspired. This, however, is no indictment of the fugue per se, against which the only thing to be said is that it requires on the part of the listener an exceeding concentration. Some of the masterpieces of the world being wholly or partially in the fugal form, it is the duty of those listening to polyphonic music to train their powers to the same seriousness of attention expected and freely given in the appreciation of an oration, a drama or a cathedral. These latter manifestations of artistic expression, to be sure, are less abstract than the fugue and more closely related to daily life. Yet no effort is more repaying than the mental and emotional energy expended in listening to the interweavings of a good fugue; for, conscious of missing the periodic divisions of the Folk-song, we have to listen to more than one melody at a time. A fugue being a composition, as the French say, of "longue haleine," our attention, in order to follow its structure, must be on the "qui vive" every moment. The fugue, in fact, is an example of the intricate and yet organic complexity found in all the higher forms of life itself; and whenever a composer has wished to dwell with emphasis on a particular theme, he almost invariably resorts to some form of fugal treatment, strict or free. The most effective media for rendering fugues are the chorus of mixed voices, the organ (by reason of its pedal key-board always making the subject in the bass stand out majestically) and the stringed orchestra which, with the "bite" of the strings, brings out—with peculiar sharpness—the different entrances of the subject. The student should become familiar with standard examples in each of these classes and should, above all, seek opportunity to hear some of the organ fugues of Bach performed on a really fine instrument. A few well-known fugues are herewith cited in order to stimulate the student to some investigation of his own. In all the Oratorios of Handel and in the choral works of Bach, such as the B minor Mass, may be found magnificent fugues—as free and vital in their rhythmic swing as the ocean itself. Particular attention should be called to the fugue in the Messiah "And by His stripes we were healed." One of the most impressive fugues in modern literature is the à capella chorus Urbs Syon Unica from H.W. Parker's Hora Novissima. From among the organ works of Bach everyone should know the Fugues in G minor, in A minor, in D major[38] and the Toccata and Fugue in D minor. These have all been transcribed for the pianoforte by Liszt and so are readily available; they are often played at pianoforte recitals by Paderewski and other virtuosi. In hearing one of these masterpieces no one can remain unmoved or can fail to reverence the constructive genius which fashioned such cathedrals in tone. For orchestra we have the Prelude to Puccini's opera Madama Butterfly, and the beginning of the Prelude to the third act of Wagner's Mastersingers. There are striking fugal passages in Beethoven's Symphonies, e.g., the first movement of the Heroic Symphony and the rollicking Trio of the Scherzo in the Fifth Symphony. In more modern literature there is the fugal Finale to Arthur Foote's Suite for Orchestra and in Chadwick's Vagrom Ballad a humorous quotation of the theme from Bach's G minor Fugue for organ. One of the most superb fugues in free style is the last movement of César Franck's Prelude, Choral and Fugue in B minor for Pianoforte. This movement alone would refute all charges of dullness or dryness brought against the fugue by the unthinking or the unenlightened. A good fugue, in fact, is so full of vitality and demands such active comprehension[39] on the part of the listener that it is not difficult to imagine where the dullness and dryness are generally found.
At this point by an analysis of a fugue from the Well-tempered Clavichord, let us explain some of the technical features in fugal structure. We shall then be in a position to understand the more subtle devices of fugal treatment and to appreciate more enthusiastically some additional comments upon Bach's style in general.
Fugue in E-flat Major, No. VII, in the First Book.
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This fugue in three voices begins with a graceful subject, announced in the upper voice. In the third measure this is answered by an imitation of the subject in the alto; while the opening voice continues with a contrasting part called the counter-subject.[40] As the whole subsequent fabric is organically derived from these two motives, both subject and counter-subject should be played frequently and so committed to memory. Observe also the contrasts in rhythm and melodic outline between the subject and counter-subject. In measures 4 and 5 we have a short sequential passage leading, in measure 6, to the third entry of the subject in the bass. Then after another sequential passage, which includes an emphatic assertion of the subject in the soprano (measures 11 and 12), we enter upon a long episode which leads, at measure 17, to our first objective point of rest—a cadence in C minor. With the entry, in this measure, of the subject in the alto we have an interesting example of what is termed "shifted rhythm;" the subject beginning on the third beat instead of the first, as at the outset. In the middle portion of the fugue we have two appearances of the subject in the related keys of C minor (measures 17 and 18) and G minor (measures 20 and 21). Then, following two very vigorous sequences, a modulatory return is made to the subject in the home key, and with its normal rhythm at measure 26. A repetition, in more brilliant form, of one of the previous episodes, in measures 31 and 32, gives a strong impression of unity; leading in measures 34 and 35 to a last appearance of the subject, with a beautiful change in one of the intervals (E-flat-G-flat). The closing measures establish the main tonality of E-flat major, rendered still more expressive by the counterpoint associated with the last chord. As to the general structure of this fugue, it is evidently tripartite, the first part A presenting the material, the second part B affording variety by modulating into different keys, and the third part A´ reasserting the material of A and bringing the composition to a logical close in the home key. (See Supplement Ex. No. 15.)