|
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 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.
