|
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| A | a- a’-a’-a’ | armonizzato con 1 |
| A’ | a’-a’-a’-a’ | armonizzato con 2 |
| B | b- b’-a-a’ | armonizzato con 2 |
| B’ | b- b’-b’’-b’’’ | armonizzato con 2 |
| A’’ | a’’-a’’-a’’-a’’ | armonizzato con 2 |
| A’’ | a’’-a’’-a’’-a’’ | armonizzato con 2 |
As we have seen, the first four chords, corresponding to
the first module, are followed by a second nucleus
consisting in chord substitutions of the first, whereas the
melodic phrase is repeated and therefore harmonized
according to both modalities proposed; when the melody is
modified, the second harmonic module is newly introduced.
This procedure can be considered a kind of combinatory game
involving harmonic and melodic elements, that opens up many
possibilities of variation in all later interpretations of
this piece.
The paradigmatic analysis of the transcription of the
original version of the piece [Jobim 1972] reveals how the
whole song emerges from the combination of two different
harmonic modules (one of which derived from the other) and
two different melodic sections (A and B) suitably reiterated
and varied, following a compositional idea introduced in the
first 8 bars and simply applied during the course of the
entire piece: in other words, if substantially identical
melodic fragments can be harmonized with differing harmonic
sequences, then identical harmonic sequences can be used for
differing melodic fragments.
Fig. 3.

In Fig. 3 the upper square brackets indicate the
distinction between the A and B parts of the four-bar
melodic modules already shown in Fig. 1b, while the
horizontal square brackets below the pentagram show the
harmonic modules, the Mother module (harmonization 1) and
its derivate (harmonization 2).
Ruwet’s model of analysis, based on the vertical collocation
of identical or similar melodic segments, in order to
highlight melodic repetitions, is well suited to the
specific demands of the present research. Paradigmatic
analysis begins with the assumption that among all
parameters that might have bearing on segmentation, pitch
and duration are the most relevant. However, in our case the
parameter of reference turns out rather to be harmony, which
divides the entire piece in four-bar segments. The episodic
presentation of dissimilar brief melodic segments (for
example the first bar of module A and the first bar of A’)
therefore derives from the necessity of conserving the
length of the four bars of the harmonic segment as a base
for the observation of the principles of melodic resemblance.
This analysis does not foresee a literal application of the
paradigmatic method, but it does maintain its spirit, in
order to appreciate the degree to which identical or similar
melodic modules can be harmonized with potentially
substitutable harmonic modules. As can be seen, the derivate
module (harmonization 2) is applied both in the A section
and in the B section, whereas the mother module (harmonization
1) is only used to harmonize melodic section A. It is
therefore all the more evident that the piece is based on
two melodic modules and on a single varied harmonic module.
The 1972 version of Aguas de Março del 1972, by Elis
Regina with arrangement by Camargo Mariano [Carvalho Costa
1972], and the 1973 Jobim version with arrangement by
Ogerman [Jobim 1973], have a decisive importance for the
later evolution of the song. It can be shown that the
contributions of both of these new arrangements came
together in the ’74 version (Elis Regina and Jobim with
arrangement by Camargo Mariano and Jobim) [Carvalho
Costa-Jobim 1974]; the contributions are of a harmonic
nature, in particular two new four-bar harmonizations that
are put forward as potential alternatives to the mother (harmonization
1) and the derived (harmonization 2) modules of the original
version.
Fig. 4a.
Fig. 4a shows how the new harmonization (3) is derived
from harmonization 1 (mother module) according to precise
criteria. The 1st bar of harmonization 3 is derived from the
1st bar of the mother module by chord substitution and
addition of a 9th and an 11th# . The 2nd bar of
harmonization 3 is derived from the 2nd bar of the mother
module by changing one note (F# becomes F) and adding a 9th.
In this way, substituting both the first and the second bar,
harmonization 3 presents, with respect to the mother module,
a different chromatic succession (IIb-I), in other words
negates the dominant (C) in favour of the tonic (F)
[10].
The 3rd bar of harmonization 3 is derived from the 3rd bar
of the mother module, following the same procedure that we
have previously described; in fact, the chord of the mother
module can be considered as a second inversion of a
semi-diminished chord with D as its fundamental, that is
substituted with a dominant ninth chord, found a third below.
Lastly, the 4th bar of harmonization 3 is derived from the
4th bar of the mother module by simplifying the chord: the
elimination of the major 9th and the use of the root
position does not however modify the tonic function.
[11]
Fig.4b: New harmonization
(4).
Figure 4b shows the criteria according to which
harmonization 4 is derived from harmonization 1 (mother
module). The chromatic bass used in the mother module may
well be at the origin of the new harmonization: indeed, the
roots of the last three chords of harmonization 4 proceed by
descending semitone, and to complete the chromatic sequence
in the upper voice the E of the first bar is replaced with
an Eb. In the same way, to give the fragment greater
harmonic stability, a tonic pedal is placed in the bass (C),
which is the only note in common among the four chords of
the mother module. Consequently, the relationship between
the two harmonizations in this case is not due to a
functional analogy between the single chords that make up
the modules, as observed previously, but from the fact that
in each bar of harmonic module 4 no less than three notes of
the mother module appear. It is interesting to note that
this harmonization is placed in the final part of the piece,
as though it represented the imminent conclusion.
In the ‘74 version [Carvalho Costa-Jobim 1974] all four
possible harmonizations of the two melodic modules are used.
The melodic modules and the new harmonizations are combined
in a pattern clearly shown by paradigmatic analysis (Fig.
5).[13]]
Fig 5. Elis & Tom [Carvalho Costa-Jobim
1974].

Fig 5. Pag. 2.
The synopses that follow allow an overall comparison of the two arrangements just described, together with a recent version by Rosa Passos [14] recorded in 2001 and first presented on the international market in the recording Me and My Heart [Passos 2001], and later in Brazil on Eu e Meu Coração.
Fig. 6a [Jobim 1972].
Fig. 6b. [Carvalho Costa -Jobim 1974].
Figura 6c. Rosa Passos [Rosa Passos 2001].
In figures 6a, 6b, and 6c, the alphabetic symbols
correspond to the melodic segments, while the numbers
indicate the harmonic modules (the numbers 1, 2, 3, and 4
correspond to the harmonic modules indicated above as mother
module, harmonization 2, harmonization 3, and harmonization
4). The coloured squares correspond to the harmonic-melodic
combinations actually used (click to listen) whereas the
white ones indicate combinations between the two parameters
that have remained unexplored. In figures 6a and 6b two
squares are presented; the first explains in detail all of
the melodic variations, and the second, with greater
synthesis but with respect to the same variations, presents
only the divisions between the modules A and B. It indicates
all combinations actually put into practice: in the case of
fig. 6a, harmonization 1 is used only for fragment A, while
harmonization 2 is used both for A and for B.
While the original version [fig. 6a, Jobim 1972] presents a
limited combinatorial game and a small number of harmonic
elements, the ’74 interpretation [fig. 6b, Carvalho
Costa-Jobim 1974] adds new harmonizations and substantially
maintains the melodic asset of the song, exploiting in a
more extensive way the idea of combining the melodic and
harmonic elements available. The only possibilities left
unexplored are the combinations B1 and B3 (synopsis). Rosa
Passos’ recent interpretation [fig. 6c, Passos 2001] shows
how it is possible to interact with the preceding versions
of the piece, while at the same time maintaining distinctive
traits:[15]
having chosen to use only the harmonizations 1 and 3, the
arranger combines them with the melodic modules A and B,
getting the most out of every possibility, and at the same
time explores some solutions left unused by the preceding
versions, such as B1 and B3. [16]
Taking advantage of the “potential complexities” present in
the system outlined means combining the different
harmonisations with the melodic modules in such a way as to
enrich the relative simplicity of the melodic discourse,
through a complexly conceived harmonic structure, which
however remains in close correlation with the original
version of the piece. Under this light, Aguas de março
lends itself quite well to new interpretations, which in
their heterogeneity show a strong continuity with the
compositive ideas that gave way to its creation.
4. Analysis with the GMMS
Before beginning analysis with the GMMS, we will introduce
here some aspects of Cifariello Ciardi’s method, as well as
some indications as to its application.
The analytical system that we are about to describe
considers the perception of the sound object “melody”, above
and beyond the compositional language used, which excludes
any particular harmonic framework from our consideration. In
other words, that which is hypothesized on behalf of a
listener is the perception of melody, without further
elements. If on one hand such a definition could represent a
limit as regards the present research, in as much as melody
is considered by this model as a sound event devoid of
context, on the other hand this does not prevent the model
from revealing certain peculiarities of the melodic
material, through the simulation of those paths by means of
which a sound event is grasped by our perceptive system.
The model hypothesises that the listener’s strategy is
influenced by noting the changes and regularities present in
one or more dimensions of the melodic sound event. The
concepts of change and regularity are associated with the
homologous ones of discontinuity and continuity: they act as
independent forces that, in their interaction, contribute to
the organization of the sonorous flow. Noting discontinuity
can depend, for example, on a rapid variation of pitch or on
the inversion of the melodic profile, whereas a continuity
could be detected by the absence of variations or by the
presence of variations that are limited from a perceptive
point of view. Furthermore, noting continuity can also arise
from a regularity in the variations perceived (continuity in
discontinuity). The model intends to individuate a finite
set of segmentations, commencing from discontinuities
detected in three parameters: duration, pitch, and melodic
profile. One further factor considered by the model is the
metric pulsation. Meter is considered as a non-autonomous
dimension of the sonorous event, in that its perception
depends on the individuation of a periodicity in the
variations perceived in other dimensions of the acoustic
event. Metric pulsation is therefore defined as a continuity
caused by the periodic return of discontinuities detected in
pitch, duration and melodic profile. In order to establish a
metre it is necessary to bear in mind that a continuity,
derived from a constant pulsation, can be caused by
discontinuities over regular intervals of time, whereas the
mutability of the pulsation depends on noting non-regularly
distributed discontinuities. Each discontinuity is assigned
a strong or weak degree of relevance indicated respectively
by the symbols x and o below the pentagram, while the
continuities deriving from the pulsation are indicated by an
x above the pentagram.
Table n. 2 illustrates the criterion according to which, for
each dimension taken into consideration, it is possible to
detect discontinuity or continuity in each note, as well as
the relative degree of intensity.
A) Discontinuità
considerate
Altezza (intervalli)
| Dati due suoni separati da un intervallo melodico (per una velocità d’articolazione maggiore di 100 millisecondi) | |||
| intervallo rilevato | unisono, 2m, 2M | 3m,3M | >3M |
| tipo di discontinuità | non rilevante | debole sul secondo suono | forte sul secondo suono |
Durata
| Dati due suoni (per una velocità di articolazione tra 120 e 1800 millisecondi) | |||
| differenza di durata rilevata | la differenza fra le durate è uguale o inferiore a 1/8 del suono più breve | il secondo suono è più breve del primo | il secondo suono è più lungo del primo |
| tipo di discontinuità | non rilevante | debole sul secondo suono | forte sul secondo suono |
| Dati tre suoni (s1, s2, s3) | |||||
| rilevazione del profilo | assenza di direzionalità (unisoni successivi) | s3 conferma il profilo affermato da s1 e s2 | s3 inverte il profilo affermato da s1 e s2 ed è stata rilevata una discontinuità di altezza tra s1 e s2. | s3, ripetendo l'altezza di s2, interrompe la direzionalità definita da s1 e s2 | S3 definisce una nuova direzione melodica dopo un'assenza di direzione |
| tipo di discontinuità | non rilevante | non rilevante | debole sul secondo suono (s2) | forte sul secondo suono (s2) | forte sul terzo suono (s3) |
| Dato un suono (dopo un minimo di due suoni marcati da una discontinuità) | ||
| rilevazione | in assenza di discontinuità | con discontinuità rilevate se il suono è il primo di un gruppo binario/ternario |
| tipo di discontinuità | non rilevante | forte sul suono |
The model proceeds by individuating all possible segments
delimited by one or more discontinuity/continuity, with
however certain limits in duration. The segments to be
considered perceptibly significant turn out to be those
distributed over a temporal space between 250 ms and 15
seconds, and within this course one must work with two
different levels of duration: the “first level”, which one
can place in a time span between 250 milliseconds and 4-5
seconds, and the “second level”, with an absolute duration
of between 4 and 15 seconds. The GMMS foresees criteria of
temporal organisation of the segments in as far as it
hypothesises that the listener tends to collocate similar
segments of duration on one and the same level.
Figure n. 7 shows the segmentation of Aguas de Março. In
order to establish the continuity of the pulsation, an
initial perceptively significant change has been identified
on the second note of b. 2. The periodic return of this set
of discontinuities in all bars until b. 9 establishes a "metric
grouping" that is contradicted only at the end of b. 9, by
the indication of discontinuities no longer in line with the
preceding ones: the non-coincidence between the pulsation
indicated until here, and the new discontinuities, creates a
need for a new hypothesis of pulsation. While actually
listening to a song, the metre that emerges from the melody
is to be considered a virtual rhythmic system in as far as
the presence of the rhythmic section, and the rhythm
produced by the alternation of the chords, conceal its
perception. The rhythmic section is produced by a bass
instrument (double bass or electric bass), drums, and guitar:
while the guitar plays a rhythmic formula typical of the
bossa nova genre, bass and drums articulate a series of
pulsations and a metre that orients the listener. The metre
that emerges from the melodic interweaving can therefore
emerge only if the arrangement and the interpretation allow
it to become explicit.
For the purposes of segmentation, the model initially
identifies all segments that are not further divisible (made
up of a minimum of two notes) in which both the final note
and the initial one are marked by one or more discontinuity/continuity.
Using such a procedure one often obtains segments that are
quite brief, and that define the so-called “provisory level”
[17].
This level, due to the brevity of the segments that it
produces, does not prove to be perceptibly significant, but
functions in defining the two principal levels: the “first
level”, made up at most of three segments of the provisory
level, and the “second level”, made up of two or three
“first level” segments. The segmentations are indicated
below the pentagram by overlaying groups of horizontal
square brackets; each segmentation hypothesis comprises a
system of two horizontal braces that represent the first and
the second level. [Cifariello Ciardi 2003].
Fig. 7.
Aguas de Março according with MGSM.

Due to the evaluation of non coinciding discontinuities/continuities, at times two hypotheses of segmentation have been identified, while in other cases only one segmentation hypothesis appears, to be considered more probable from a perceptive point of view. One may suppose that these two cases may bring to light an aspect that is also perceptible while listening, namely a certain ambiguity from the point of view of the phraseological articulation in the phases with two segmentation hypotheses and a greater clearness in articulation in the phases with only one segmentation hypothesis. One consideration that comes out of the analysis done hitherto therefore concerns the passage from a phase of phraseological ambiguity towards a phase of greater clearness in the segmentation. Fig. 8 allows us to observe how non coinciding discontinuities can bring out differing segmentation hypotheses (see the first three bars), whereas if the discontinuities and the continuities tend to mark the same notes, the segmentation turns out to be univocal (fourth bar). A first phase, that could be received by the listener as a constant but formally uncertain repetition of a three-cell melodic cell, is followed by an episode that is perceptively clearer in its phraseological articulation.
Fig. 8.

The contact between the analytical method put forward
here and the concretely realized versions of the song
consists in the hypothesis that the arrangement offers the
possibility of amplifying, through choices in performance
and timbre, discontinuities and continuities perceived by
the listener. In some cases it will be possible to verify
whether the segmentation proposed by our model coincides
with the one proposed by the arrangements, while in others
some potentialities implicit in the melodic material are
made explicit by the versions taken into consideration.
5. Potentialities in the material and arrangement
In the interpretations taken in consideration, taking
advantage of the potentialities inherent in the melodic
material of the piece also involves underlining the areas of
phraseological transformation; i.e., showing the passage
towards the phase of greater clearness of the segmentation,
as well as bringing to light the specific qualities that
characterize the various phases through the arrangement and
the details of the instrumental and vocal performance. It is
not the case here to formulate judgements regarding the
quality of the versions considered, but simply to underline
how arrangers and interpreters have the opportunity to build
upon information already present in the melodic material of
the piece, revealed through analysis with the GMMS. Fig.9
shows quite an interesting passage which corresponds to the
last melodic segment inserted in the first of the two
conclusive A sections. The strong discontinuities uncovered
in the dimensions of pitch and melodic profile can make the
melody take on a polyphonic aspect; the distance in the
intervals and the continuous inversion of the melodic
profile make a new hypothesis of segmentation plausible. The
last two pentagrams towards the bottom show the harmonic
module, with the notes that emerge from the melodic
intertwining in black. The substitution of the C (last
quaver of the first bar) with a Bb (done by Jobim and Elis
Regina in the ’74 version [Carvalho Costa-Jobim 1974]) is
coherent with the harmonic module of reference.
Fig. 9.

Three cases seem to be particularly illustrative; the
first involves a vocal-instrumental transformation, while in
the second the metric pulsation that emerges from the
material becomes explicit, and in the third the melodic line
is divided into two perfectly distinct voices.
In the first case a vocal-instrumental transformation can
show the passage from a phase of phraseological ambiguity to
a phase in which the segmentation is clearer (see fig.9).
Listening to audio examples 3, 4, 5, and 6 it is possible to
verify if and how the various versions of the piece amplify
the feature observed in the melodic material.
The version contained in Elis & Tom [Carvalho Costa-Jobim
1974] underlines the moment of change in b. 9 through the
instrumentation and the distribution of the melody between
the two voices: the entrance of the piano, and the change in
vocal timbre that comes about with the entrance of the male
voice, mark the passage to the new phase.
In a successive passage, the same arrangement makes
evident such a change with even greater emphasis: the double
suspension following the instrumental intermezzo accentuates
the difference between the first phase, quite homogeneous
and not at all differentiated from the point of view of
timbre, and the second, richer and more diversified in
timbre.
Example
Audio 4
In Me and My Heart [Passos 2001], the phase of phraseological ambiguity (where one notes an almost complete loss of identity in the initial melodic module) is characterized by a large degree of melodic and rhythmic freedom on behalf of the interpreter, while in the following phase the melody is faithfully reproduced.
The original version, on the contrary of the versions just observed, does not in any way mark the passage from one phase to the other. In other words it contains a unexpressed potentiality of the melodic material.
The second case considered consists in making explicit,
through interpretative freedom, the metric pulsation that
emerges from the basic melodic material.
In João Gilberto’s version [Prado De Oliveira 1973] the
interpreter produces a temporal slippage of the melodic
modules that in the end makes the metre suggested by the
melodic analysis coincide with the harmonic metre and the
pulsation of the rhythmic section. This makes the metric
ambiguity contained in the melodic segment evident.
A third observable case is the fission of a melodic line
in two distinct flows. The strong discontinuities pointed
out in the pitches and the melodic profile can have the
melody take on the form of a “virtual” polyphony.
In the version contained in Elis & Tom [Carvalho
Costa-Jobim 1974] the two singers’ interpretation puts into
act the division of the melody into two distinct melodic
lines, suggested by the relative harmonic module and based
on the discontinuities implied by the distance in the
intervals and the continuous inversion of the melodic
profile (see also Fig. 9).
7. Conclusions
Aguas de Março is an example of how it is possible to
enhance the complexity of a piece not through the
juxtaposition of new elements, but simply exploiting
possibilities already inherent in the original version and
not completely expressed by it. Just such a progressive
development of potential elements, observed in the
interpretations considered here, may have contributed to
making the piece in question aesthetically persuasive enough
to create a consensus that goes well beyond its first years.
From a methodological point of view, we must note that the
plurality of interpretative solutions present in the diverse
versions entails, as the text of reference for the analysis
of a song, not only the written testimony of the work but
above all the sound recordings of the piece itself. In this
light the observations put forward here could be further
refined with a close analysis of aspects of timbre, in order
to define further micro-variations regarding the form.
Taking these considerations as a basis, research on similar
repertories will have to be carried out following a
multidisciplinary approach which employs traditional
analytical tools as well as others, that arise for example
from the encounter between analysis, electro-acoustic
research and the psychology of perception.
Bibliographical references
AROM S. (1985), Polyphonies et Polyrithmies
istrumentales d’Afrique Centrale, Structure et Méthodologie,
SELAF, Paris.
BARONI M. (1996), Analisi musicale e
giudizio di valore nella musica leggera, in R. Dalmonte
(cur.), Analisi e canzoni, Università degli Studi di
Trento, Trento, 81-102.
BÉHAGUE G. (1973), Bossa and
Bossas: recent changes in Brasilian urban popular music,
in “Ethnomusicology”, 17, 209-233.
CIFARIELLO CIARDI F.
(2003), Appunti per un modello generale di segmentazione
melodica, in “Rivista di Analisi e Teoria musicale”,
vol. VIII/I, 77-112.
CIFARIELLO CIARDI F. -CURINGA L.
(2004), Segmentazione melodica e interpretazione: Syrinx,
un esempio applicativo, in “Rivista di Analisi e Teoria
Musicale”, vol. IX/II, 65-85.
DALMONTE R. (1996), Metodi
di analisi per la canzone, in R. Dalmonte (cur.),
Analisi e canzoni, Università degli Studi di Trento,
Trento, 11-23.
DE ROSE N. (2002), Tecnica
dell’improvvisazione jazzistica, Melodi, Milano FABBRI
F. (1996), Il suono in cui viviamo, Feltrinelli,
Milano.
FREEMAN P. (2004), Complexity, Simplicity and
Poetic Invention in Antônio Carlos Jobim's “Aguas de março”
(Waters of March), in Popular music: Commemoration,
Commodification and communication -Proceedings of the 2004
IASPM Australia New Zealand Conference, Crowdy,
Melbourne, 55-64.
MIDDLETON R. (1990), Studying popular
music, Open University Press, Buckingham (trad. it.
Studiare la popular music, Feltrinelli, Milano 1994).
MIDDLETON R. (1998), ‘Over and over’. Appunti verso una
politica della ripetizione, (I) e (II), in
“Musica/Realtà”, fasc. 55 e 56, 135/150 e 169/180. RUSSO M.
(1996), La prassi dell’arrangiamento nelle canzoni:
esempi ed osservazioni, in R. Dalmonte (cur.),
Analisi e canzoni, Università degli Studi di Trento,
Trento, 197-233. RUWET N. (1972), Metodi di analisi in
musicologia, in Linguaggio, Musica, Poesia,
Einaudi, Torino, 1983, 86-119 (tit. orig. Language,
musique, poesie, Edition du Seuil, Paris).
DISCOGRAFIA
CARVALHO COSTA E. R. (1972), Elis -1972,
philips, lp.
CARVALHO COSTA E. R. - JOBIM A. C. (1974),
Elis & Tom, philips, lp.
JOBIM A. C. (1972), Disco de
bolso, Zen Produtora Cinematografica e Editora, lp.
JOBIM A. C. (1973), Matita perê, philips, lp
PASSOS
R. (2001), Me and My Heart, Velas, lp.
PRADO DE
OLIVEIRA J.G. (1973), João Gilberto, Polydor Brasil,
lp.
NOTES
[1] Elis Regina Carvalho Costa (1945-1982) was a major
interpreter of Brazilian music, active in the sixties and
the seventies.
[2] César Camargo Mariano (1943-viv.), pianist and
arranger, collaborates with many interpreters of Brazilian
music; at the time of the recording Elis e Tom he was Elis
Regina’s companion.
[3] Claus Ogerman (1930-viv.), composer, arranger, and
conductor, is known above all for having written memorable
arrangements of jazz pieces for large orchestra.
[4] João Gilberto Prado Pereira de Oliveira, guitarist
and singer, is considered together with Jobim to be the
creator of the bossa nova genre.
[5] See the “tableaux des commutations possibles” [Arom
1985, 725-726].
[6]
http://jobim.com.br/partituras/aguas_de_marco/aguasmarco_part.html
[7] In order to facilitate comparison, all following
transcriptions will also be presented in C major.
[8] The chord symbols follow traditional jazz practice,
in which the content of a chord is represented by a letter –
the root of the chord, written in Anglo-Saxon alphabetic
notation (A, B, etc…) – and by numbers which indicate the
intervals added to the basic triad. Thus, three-note chords
are represented by the name of the root without further
signs if the triad is major (C), followed by an “m” if the
triad is minor (Cm). The symbols “6” e “6 9” indicate
respectively that a major sixth, or a major sixth and a
major ninth, are added to the triad (Fm6) (C 6 9). A “7”
indicates that a minor seventh is added to the triad,
whereas “maj7” adds a major seventh (D7) (Cmaj7). Often,
when an added ninth (major or minor) is indicated, a minor
seventh is implicit. Otherwise, in order to indicate a ninth
chord with a different note than the minor 7th, it must be
stated: for example B maj7 9. The symbol “#” after a number
indicates that the interval referred to by the number must
be raised by a semitone; for example B 9 11# means that the
B major triad takes a minor 7th, a major 9th, and an
augmented 11th, that is an augmented 4th. The sign “/”,
placed after the chord symbol and followed by a note,
indicates that the note must be placed in the bass (in C7/Bb
the minor 7th, B flat, is in the bass).
[9] De Rose 2002.
[10] This chord substitution is based on the equivalence
between a dominant chord with diminished 5th, and a similar
chord whose root is placed at a diminished 5th. This rule is
extended to dominant seventh chords without diminution of
the 5th by way of their identical harmonic function [De Rose
2002]. In a dominant-tonic passage, one of the effects of
such a substitution is the transformation of the bass, no
longer a leap (V-I) but a chromatic succession (IIb-I).
[11] De Rose 2002.
[12] De Rose 2002.
[13] In this version a new melodic module, which
originates in B but clearly differes from it, appears only
once. It replaces the B” of the original version and is here
called B’”, even though it could be indicated as A or even
as C, precisely because it substitutes a B module of the
original version. Furthermore, it is necessary to retrace to
a common norm some of the variations due to the interpreters’
freedom in performance, so as to be able to compare the
diverse versions of the piece. It is interesting to note how
the melodic variation just described has historically become
habitual, never subsequently put into question, which
confirms the great success of the ’74 interpretation [Carvalho
Costa-Jobim 1974].
[14] Rosa Passos is a Brazilian composer and singer who,
while remaining in the wake of bossa nova tradition,
proposes some interesting stylistic evolutions in this genre.
[15] This version, given the interpreter’s ample melodic
freedom, can be compared with the others only by referring
to the melodic divisions A and B; we have therefore omitted
the synopsis with the most minute melodic variations.
[16] The last chord of harmonization 3 (C maj7) is
further substituted by Am 11 (a minor triad with
added 7th, 9th and 11th), probably to avoid the conclusion
of the module on the tonic chord.
[17] The provisory level is not explicit in figure 7; in
the following example it will be represented using broken
square parentheses.
