Wednesday, October 4, 2017

A Brief Harmony of Tango, Part I

1. Introduction

Tango is a form of music written in the tradition of Western major-minor tonality, a system of relationships between tones (organized as scales), chords (tones sounding conjointly), and functions (usage) of chords. Together, scales and chords make up a key, and we speak of a composition as being in C-major, for example, when it is built on a C-major scale and the chords resulting from that scale. Likewise, a piece is said to be in a-minor if it uses the a-minor scale and chords.

If one asks a musician how the key of a composition is determined, one will frequently hear that the scale and the chord on which the piece ends are the indicators of the key. This will be true in most cases, but it is ultimately not a correct statement. Using a C-major scale and ending on a C-major chord does not mean the piece is “in” C-major. In order to be “in” C-major, the other chords in the piece must be in certain relationship to the C-major chord. This is the principle of tonality (hence, major-minor tonality), and harmony provides a set of rules by which tonality is expressed.

We will here focus on two fundamental rules of harmony:
  1. a tonal composition has one fundamental chord, the tonic, to which all other chords progress and resolve to;
  2. as the tonic constitutes a point of repose or arrival in a piece of music, the dominant is its counterpart, expressing tension with an implicit need for resolution to the tonic.

The tonic is represented by the lowest tone of the scale and the chord built on it. This corresponds to the musician's notion of “key” mentioned above, that is, a scale (which starts with the tonic) and the final chord of the piece. The tonic being the first degree of the scale, it is customarily indicated in harmonic analysis by the Roman numeral I.

The dominant is the chord build on the interval a fifth (five scale steps) above the tonic. It is the counterpole of the tonic, implying a need of resolution to the tonic. The harmonic progression from the dominant to the tonic is the most common way to establish the tonic as the tonal center of a piece. In harmonic analysis, the dominant is customarily indicated by the Roman numeral V.


Composers did not select the relationship between tonic and dominant to harmonize their music by arbitrary choice. It is, rather, founded on the human perception of music. We tend to perceive a descending movement to the tonic as a resolution of tension.



Example 1: Ascending and descending major scale


Likewise, the harmonic progression from the dominant to the tonic (indicated in the last two measures if the following example by the Roman numerals V and I, respectively) conveys a sense of arrival and repose.



Example 2: Harmonic progression in C-major

The preceding example exhibits a harmonic progression that is frequently encountered in tonal music: a cadence. A cadence is a harmonic-melodic formula used to impart a sense of resolution and finality. It is typically applied at the end of a composition. Every tango dancer knows—or should know—the final “chan-chan” of a tango with which the dance terminates. Musically speaking, it is a cadence, the final one, and thus the strongest one in a tango. Woe betide the dancer who continues to move after the “chan-chan”!


But cadences do not only appear at the end of a piece. They are also utilized in many different forms to delimit phrases and melodies, where they function as points of arrival or transition. It is precisely through cadences that the tonality of a piece is articulated.


2. Arturo De Bassi's El Incendio


As an example of a classical instrumental tango, let us turn to El Incendio by Arturo De Bassi. (There are three recordings by Rodolfo Biagi, Juan D'Arienzo, and Carlos Di Sarli, respectively, that are still played intermittently in milongas today.)




Arturo De Bassi grew up in a musical family. At age thirteen, in 1903, he joined the orchestra of the Apolo theater in Buenos Aires as a clarinetist. Three years later he composed his first tango, El Incendio (“The Fire”). It was inspired by the warning signals of the fire brigade. (Sirens for the horse-drawn vehicles had not yet been invented. It seems that in Buenos Aires bugle calls were used instead.) De Bassi, who claimed to have sold some 50,000 copies of the score, published the piece himself with great success, leaving it in music stores on consignment.


3. The Formal Division


El Incendio consists of three sections (hereafter labeled A, B, and C, respectively), which is a form typical for instrumental tangos of the first quarter of the 20th century. The third section was often designated a “trio” and was composed in a character different from the other sections. The “trio” designation was omitted in the score of El Incendio, but the section has nevertheless been composed in such a way that it marks a contrast against the other two sections. Sections A and B, for example, begin with melodies in the high register, then showing a descending melodic movement. Section C, on the other hand, begins in a low register with an ascending motion.

El Incendio, section A, melody descending from high register
Example 3: El Incendio, section A, melody descending from high register

Example 4: El Incendio, section A, melody descending from high register
Example 4: El Incendio, section b, melody descending from high register
El Incendio, section C, melody ascending from low register
Example 5: El Incendio, section C, melody ascending from low register

The three parts of a tango like El Incendio were not simply played in succession from A to C. Rather, sections were repeated, yet not necessarily in order. The order of play may or may not have been indicated by the composer in the score, but even if it was, the performers were not bound by it. In fact, different recordings show great variety in the order in which the ABC sections could be performed. In the case of El Incendio, however, most recordings show the standard repetition scheme of a three-part composition: section A was played at the beginning and repeated after each of the following sections, thus resulting in a pattern A B A C A. (This pattern is also followed by Firpo in the example of the complete recording given below.)


4. A Simple Harmonic Analysis


The music examples given below are taken from a piano score of El Incendio and a recording made in 1927 by Roberto Firpo and his orchestra, respectively. There are differences between the piano and the orchestra scores, but these do not affect the points of the argument presented here.

The harmonic analysis is kept to a minimum and only aims to demonstrate the synergy between tonic and dominant. Below each stave of music, the key of the example is indicated by a capital letter (F or C, respectively). To the right, the occurrences of tonic and dominant are indicated by Roman numerals, I or V, respectively.

Each section of El Incendio is a self-contained unit with a distinct melody of 32 measures length and a strong cadence at the end. The first section, A, shows a key signature of F-major, which identifies the corresponding scale used in this section. Furthermore, F-major is also the final chord.



Example 6: El Incendio, section A



Sections B and C differ from A in one important aspect: they are not written in F but in C-major. This is evidenced not only by the key signatures and final chords. The harmonic movement within these sections shows the same kind of oscillation between tonic and dominant as in Section A—only in C-major.



Example 7: El Incendio, section B




Example 8: El Incendio, section C



Thus having three sections with two tonalities, the question arises: is El Incendio “in” one particular key, or does it have two? If it is one key, which one is it? The answer to this question lies in the pattern of repetition with which the piece is performed. Section A being in F-major, and B and C being in C-major, it turns out that the piece starts and ends in F-major, and that the two sections in C-major are excursions, as it were. The unfolding of the tonality could be represented as follows:

El Incendio, tonic/dominant relationships between sections
Example 9: El Incendio, tonic/dominant relationships between sections

Harmonically, F-major is the starting point of the piece as well as it is the point of resolution following the C-major sections. The relationship of B and C to A is a clear example of dominant and tonic, that is, the resolution from tension to repose. In conclusion, we may unequivocally state that El Incendio is written in a key, and that the key is F-Major.

It is important to note that the rules of tonality apply to all levels of the composition. The association of tonic and dominant governs the harmonic development within each section, just as it determines the relationship between the sections. Thus, the formal layout of the piece mirrors the harmonic organization of the individual sections.

The formal and harmonic layout of El Incendio is neither an original invention of De Bassi, nor is it particular to tango. In fact, it is one of the most common ways to structure instrumental compositions in Western music.


5. Assessment


De Bassi's El Incendio is a delightful composition that has not lost its charm in the more than 100 years of its existence. The interpolation of the signal fanfares into the melodic fabric is witty and makes the piece instantly recognizable. Moreover, the composition is formally and harmonically well balanced and appealing at the same time. A remarkable composition for a sixteen-year-old!

Without repudiating the composer's accomplishments, it must be said nevertheless that the formal and harmonic layout of El Incendio is not original with De Bassi. Nor is it particular to tango music. It is, in fact, one of the most common ways to structure instrumental compositions in Western music. Rather, it demonstrates that Arturo De Bassi, scion of musicians in Buenos Aires, had been well trained in the family business.


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Example 10: El Incendio, performed by Roberto Firpo and his orquesta típica, 1927










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