Showing posts with label Chopin. Show all posts
Showing posts with label Chopin. Show all posts

Friday, August 30, 2019

General comments

This may be a good moment to pause the survey of treatises and textbooks in order to make a few observations of a more general kind and to restate the goal of the survey and, beyond that, the goal of this blog.

There is a progressive historical narrative to be told, but it is not one of smooth, incremental movement from triads and seventh chords (18th century) through triads with added 6ths and ninth chords (1850?) to elevenths, thirteenths, and even more complex harmonic structures (1890? 1900?). One does find such narratives even in textbooks beginning in mid-century, but "histories of harmony" become much more common later, when history became an important cultural idea. The extended tertian chord model—stacking thirds—was particularly amenable to such accounts. As Damian Blättler describes it: "The fact that the model’s chord types can be arranged in sequence —triads are followed by seventh chords, seventh chords by ninth chords, and so on—has been used both as a pedagogical sequence and as a narrative about the development of chord types" (2013, 6). In a footnote Blättler offers an example:
A particularly clear-cut narrative claim is made by Alfredo Casella: "[Jean Marnold once said that the only musical difference between romanticism and the 18th century dwindled down to a single chord: the dominant major ninth. There is much truth in this, even though it seems to reduce a century of music to a purely technical problem.] Assuredly the chord of the major ninth, introduced by Weber, gave a totally different complexion to the entire musical language of the 19th century. Nor is it less evident that the exploitation of this chord reaches its culminating point in Debussy. . . . The following harmonic concept [the augmented 11th chord], . . . it is only in Ravel that the new chord is finally used in a constant, conscious, and spontaneous manner.”    [the section at the beginning of the quote was added from the original publication to broaden the context]
The ninth, however, was already among the figures that continuo players needed to learn in the late 17th century, and when early 18th century writers tried to gain control of the large catalogue of figures, the ninth came along, too. In practice, the common figures of the ninth were relatively few:


(It is important to remember that these are figures designed for musical practice, not theoretical categories. Thus, 9-8 might mean 9-8 over 3 as in (1) above in one city, but it might mean 9-8 over 4-3 as in (2) in another city or region; it might also mean either (1) or (2) in still a third city or region, the continuo keyboard player being expected to make an appropriate choice according to the circumstance.)

All of these we would understand as linear formations (probably suspensions, but also appoggiaturas or accented neighbor notes), but Rameau essentially "invented" the dominant ninth as a harmony, first through his elevation of the status of the dominant, then through his notion of supposition and the subsequent reverse strategy of stacking thirds. Because of his influence, (almost) everyone after him accepted the ninth chord as a harmonic entity (recall, for example, that it is among the eight basic chords in Catel's Traité: link). Thus the ninth chord was not "introduced by Weber"—it was a theoretically accepted harmony, but one without any real presence in practice (according to the treatise authors).

In fact, thanks to the exploitation of ^6 in the major key, as Jeremy Day-O'Connell has documented, the dominant ninth harmony—in its characteristically complex position as sometimes linear, sometimes harmonic—was already a part of musical practice no later than 1820, especially in music for dance. Here, as a reminder, are several examples from Schubert. (At least some of these were not presented in previous posts or in essays published on Texas ScholarWorks.) I looked at his last published set, the Valses nobles, D. 969, generally regarded as intended more for performance than as accompaniment for dancing. In no. 11, at (a), is a direct resolution. At (b), note the parallel treatment of V7, and at (c) the realization of the ascent through the upper tetrachord, G5-C6, that was encouraged by freer—and this case expressively and structurally significant—treatment of ^6.


In no. 2, a plainly audible indirect resolution with unfolded thirds: F#5 to E5, D5 to C#5. In the cadence the figure encourages an open ending (IAC, not PAC, with the melody on ^3).


In no. 5, another parallel treatment of the type most common in the waltz throughout the century: ^6-^5 over the dominant (bar 9), then ^6-^5 over the tonic (bar 11). Here the ninth is resolved internally, and the chord in bar 9 has to be regarded as an inversion of V7.


In no. 1, at (a), the internal resolution is stretched over three bars (A5 in bars 4-5 to G5 in bar 7). As in no. 11, the upper tetrachord remains important: in the cycle of fifths sequence at (b), then in the dramatic rising cadence at (c).


In no. 4, the urge toward the upper register is treated a bit differently. At (a), an accented ^6 resolves internally, and within the bar, is repeated, then repeated again as the dominant in the cadence (bar 7). The design is a small ternary form. In the reprise, At (b), the same figure, but then carried up to the instrument's highest octave to end—at (c).


Finally, in no. 10, ^6 is an essential expressive element, but its harmonic expression is vi (in bars 4 and 12), not V9.

The dominant ninth chord as a harmony finds it way into the theatre indirectly through the dance (especially in waltz numbers) and becomes a cliché by the time of Offenbach's great successes beginning with Orfée aux Enfers (1858) and continuing through the 1860s, but we should also point to its prominent appearance in the first act of Wagner's Lohengrin (1854) and in the Prelude to Act II of Tannhäuser (1860). For the latter I presented the passage below in this post: link.


This idea of intensification of the major dominant seventh at climax points or in cadences persisted through the rest of the century and beyond, as did ^6 with both V9 and Iadd6 in music of pastoral, lyrical, or sentimental character. (In the dance and concert dance repertoire, the history of the dominant ninth is bound up with a remarkably free treatment of the scale's upper tetrachord.) Only in the 1890s did color and harmony-as-function reach parity in concert musics, and in this sense Casella was right that "exploitation of this chord reaches its culminating point in Debussy."

I do not expect any grand new revelations to emerge from the roughly twenty additional textbooks/treatises still to be surveyed and discussed in this blog. The idea is to fill out and complete the documentation, but I will be looking for additional repertoire examples, which will of course serve the main goal of the blog as originally stated.

Reference:
Damian Blättler, "A Voicing-Centered Approach to Additive Harmony Music in France, 1889-1940," PhD dissertation, Yale University, 2013.
Alfredo Casella, “Ravel’s Harmony,” The Musical Times 67, no. 996 (February 1, 1926): 124-27. (Cited by Blättler)
Charles-Simon Catel, Traité d’harmonie (Paris, 1802). Digital facsimile published on the Internet Archive. Source: University of North Carolina at Chapel Hill.   Note: An edition from 1874 shows no changes in text or examples for the dominant ninth. Source: Bibliothèque nationale de France at gallica.bnf.fr.
Jeremy Day-O'Connell, Pentatonicism from the Eighteenth Century to Debussy (2007).

Wednesday, August 28, 2019

Foote and Spalding, Modern Harmony (1905) (3)

Here are more of Foote and Spalding's repertoire examples for the dominant ninth chord. These are from p. 160.



The Chopin example comes from the first movement, the second theme in the recapitulation—see the boxes in the third and fourth systems. It is indeed a proper major dominant ninth with a direct resolution (although with octave change). It is also an isolated instance, as nowhere else in the movement, or in the sonata, does the ninth chord play any role. In this theme, the far more prominent feature is the 13th (see arrows), which is a melodic rather than harmonic element but contributes a distinctive sound to the theme and so illustrates that characteristically uncertain positioning of the extended chords between harmonic and linear processes.


Incidentally, the ninth in the example above is not in the second theme in its initial presentation during the exposition:


George W. Chadwick's "Lovely Rosabelle" sets a short ballad from Sir Walter Scott's Lay of the Last Minstrel.  The form is that of a melodrama—like an operatic szena, alternating dramatic recitative with more formal sections of air or chorus melody. The example comes from near the end, where the chorus repeats several times text including "a dirge for lovely Rosabelle" (who has drowned).


The example isn't very convincing as a ninth chord. There are several better ones earlier in the piece. Throughout the 19th century, the major dominant ninth chord as a harmonic entity was more likely to appear in lyrical, sentimental, or even pastoral movements or passages, as here, with "soft" and "sad." Note especially the contrast between the vigorous, minor-key, martial music and this passage.


Here are two good textbook examples that Foote and Spalding might have used to better effect. Note the direct resolution of the ninth C5 in the soprano.

The ^6-^8 figure in the cadence was a common Scots-Irish touch. We have encountered it before in Macdowell's "To a Wild Rose": link to the blog post.


Reference:
Arthur Foote and Walter Spalding, Modern Harmony in its Theory and Practice (1905). Source: Internet Archive; digital facsimile of a copy in the UCLA library.

Saturday, August 24, 2019

Foote and Spalding, Modern Harmony (1905) (2)

Foote and Spalding's chapter on the ninth chords is distinctive for its generous number of examples from the repertoire, examples that show clearly the range and character of their own stylistic sources and assumptions.* One can see this already in their first page (p. 158). In Lohengrin below, G5 is strongly emphasized by position and duration, achieving the same kind of "climax coloration" that we found in American songs of the same period (see my essay Dominant Ninth Harmonies in American Songs around 1900: link). As with Wagner, Schubert moves the ninth (but ascending) over a stable dominant bass. The two brief excerpts from Beethoven are common instances from the era of the minor dominant ninth.

The next three examples are also concerned with the minor dominant ninth chord.


Amy (Mrs. H. H. A.) Beach's "Fireflies," no. 4 from Four Sketches, op. 15 (1892), has many dominant ninths, both major and minor. This short passage comes less than twenty bars from the end. Something of the flavor of the whole can be gotten by a slightly larger excerpt (see below). "Walküre" is a striking resolution of the minor dominant ninth, with ninth in the alto and fifth moving upward chromatically. "Parsifal" is a passing major ninth within a wedge shape: F-F#-G in the top voice, F-E-Eb in the bass.

Further comment on Amy (Mrs. H. H. A.) Beach, op. 15n4. Below is a slightly larger excerpt (bars -18 to -10). The passage quoted by Foote and Spalding is boxed; instances of the dominant ninth are circled: all but the last are understood as major dominant ninth chords, but see my final comments and the figure below the score. For the moment, notice the strongly marked direct resolution of the ninth in bars -11 to-10. The tonic reached in bar -10 is the final chord, prolonged by figuration to the end.

Here is a reduced view of the harmony and voice leading:


Obviously, this reduction isn't as good as it could be, since the move major-dominant-ninth to minor-triad is problematic. The composer "sneaks in" a minor ninth just before the chord change, and thus it would have been better to notate the entire example as follows:


Beach's "Fireflies" is one of those rare compositions before 1900 in which the dominant ninth is strongly motivic. Here is the opening, the ninth chords marked (minor in bars 1-2, 8; major in 5-6).


And here is a reduction of the harmony and voice leading:

More of Foote and Spalding's repertoire examples will appear in a subsequent post.

------------------
* Such generosity was not typical earlier in the 19th century, but I should point out that by the end of the century multiple examples from the repertoire were commonly used, either for practical compositional or analytical purposes, as with Foote and Spalding, or as examples of historical practices.

Reference:
Arthur Foote and Walter Spalding, Modern Harmony in its Theory and Practice (1905). Source: Internet Archive; digital facsimile of a copy in the UCLA library.

Monday, February 4, 2019

Benjamin, Horwitz, Koozin, and Nelson

When I retired three years ago, I gave away almost all of my library, including textbook copies, and am now living in an area where I don't have easy access. That is by way of explanation for no more than a modest internet search, which pulled up just one textbook table of contents detailed enough to list examples. That TOC is for the excerpt anthology to one of the standard texts used in college-level two-year music theory sequences: Music for Analysis: Examples from the Common Practice Period and the Twentieth Century, 8th edition, by Thomas Benjamin, Michael Horvit, Timothy Koozin, and Robert Nelson (2018).

Here are their examples of the dominant ninth chord (the titles are lightly edited for clarity and completeness):

326. J. STRAUSS, Künstlerleben (Artist's Life) Waltzes, op. 316, no. 3
327. FRANCK, Sonata for Violin and Piano, first movement
328. BEETHOVEN, Six Easy Variations, WoO 77, theme
329. CHOPIN, Grand Valse Brillante in Ab major, op. 34, no. 1
330. SCHUMANN, Liederkreis, op. 39, no. 3: "Waldesgespräch"
331. CHOPIN, Prelude in Db major, op. 28, no. 15 "Raindrop"

Secondary Dominant Ninths
332. BACH, St. Matthew Passion, no. 78: final chorus "Wir setzen uns mit Tränen nieder"
333. SCHUMANN, Genoveva, op. 81: Overture
334. GRIEG, Lyrical Pieces, vol. 9: "Grandmother's Minuet," op. 68, no. 2
335. SCHUMANN, Kinderszenen, op. 15, no. 7: "Träumerei"

Comment on each of these below. As a reminder, here are the categories I have developed for the different uses of the dominant ninth:

1. Internal resolution (within the V chord)
    1.0. Element of melodic shape (step)
    1.1. Element of melodic shape (leap, off the beat)
    1.2. Element of chord, weak beat
    1.3. Element of chord, strong beat
2. External resolution (to the following chord, usually I)
    2.1. Indirect resolution to ^5
    2.2. Indirect resolution to ^6
    2.3. Direct resolution to ^5 or ^6

To each of the book's examples:

326.  J. STRAUSS
I have written about this waltz set on my Ascending Cadence Gestures blog: link. In the first instance the chord is inverted (the bass shifts the chord back and forth between second and first inversion), category 2.2. In the second instance it is a "waltz ninth" in the cadence—that is, ^6 moves upward to ^7—and fits category 1.3.
327. FRANCK
One of the most striking cases of an extended (prolonged) dominant ninth before 1900. I will post a separate study of it at a later date.
328. BEETHOVEN
The ninth chord (beginning the theme's B section) is an incidental result of parallel tenths moving against a dominant pedal tone. Category 1.0.
329. CHOPIN, op. 34, no. 1
In the introduction, category 1.3 (an element of an extended dominant chord). In the second strain (bars 33 ff.), direct resolution, category 2.3.
330. SCHUMANN, "Waldesgespräch"
In the piano introduction, direction resolution of the ninth with expressive repetition on the strong beat. Category 2.3.
331. CHOPIN, "Raindrop" Prelude
Category 1.2 (element of the chord, weak beat emphasis) in the cadences of the exposition and reprise (more prominently in the latter). The appearance of ^6 in bar 3 is category 1.0, a melodic element coincidentally arising from parallel 6ths. This figure is marked enough (repeated) that one could very likely develop a reading based on it as a key to interpretation, an "odd" moment that is developed motivically and harmonically—but I am not concerned with that kind of work in this blog.
Secondary Dominant Ninths
332. BACH
In the introduction and in the chorus's opening phrases. I assume this was included because it allows an easy comparison of the chords with minor ninth and major ninth. Category 1.0.
333. SCHUMANN, Overture
Here again, perhaps the choice is the comparison between minor and major ninths, the former very dramatic at the beginning, the latter appearing more than once in the major key area that follows (which I presume is the subordinate key area of a sonata form exposition)
334. GRIEG
Clear example of V9 of V at the very beginning (bar 1). Category 2.3.
335. SCHUMANN, "Träumerei"
Category 1.1 in bar 3; category 1.2 strictly speaking in bar 22, though I would like to call it 1.3 because of the special emphasis of the fermata; possibly the same in the final bar because of the octave leap down from ^6 (D5) over ii to ^6 (D4) as ninth of V.
 Note: These are my own comments on the examples. I did not have access to the textbook itself, only the list of examples.