Signata Annales des sémiotiques / Annals of Semiotics 6 | 2015 Sémiotique de la musique Semiotic Description of Timbre and Usage-Related Variants: An Exploratory Analysis of Orchestration Handbooks Lucas Takeo Shimoda Publisher Presses universitaires de Liège (PULg) Electronic version URL: http://signata.revues.org/1060 DOI: 10.4000/signata.1060 ISSN: 2565-7097 Printed version Date of publication: 31 December 2015 Number of pages: 43-64 ISBN: 978-2-87562-087-3 ISSN: 2032-9806 Electronic reference Lucas Takeo Shimoda, « Semiotic Description of Timbre and Usage-Related Variants: An Exploratory Analysis of Orchestration Handbooks », Signata [Online], 6 | 2015, Online since 31 December 2016, connection on 29 March 2017. URL : http://signata.revues.org/1060 Signata - PULg PrimitiveS Semiotic Description of Timbre and Usage-Related Variants: An Exploratory Analysis of Orchestration Handbooks Lucas Takeo Shimoda University of São Paulo (GES-USP) 1. heoretical background Compared to other approaches, the discursive perspective on timbre has a signiicant advantage. Its theoretical background provides a considerable heuristic potential largely acknowledged by the linguistic research in the ields of both grammar and discourse. Just as the linguist should outreach the mere gathering of accidental “language facts” in order to decode the systemic rules of language, so should the semiotician be capable of articulating her/his indings with correlate discursive phenomena which can be veriiable in other semiotic systems. In this regard, taking timbre as a connotative phenomenon can beneit of other conceptual distinctions made within Hjelmslev’s intellectual project, especially the oppositions “form vs. substance”, “schema vs. usage” and “invariant vs. variant”, which are closely related to each other. In his thesis’ chapter titled “O uso como elemento determinante para a escolha dos instrumentos que compõem um arranjo”, Coelho (2007, pp. 130-147) brings up two theoretical propositions with considerable impact upon the semiotic studies on timbre. he irst one classiies musical instruments on a semiotic square according to its sustain. he second one concerns the key role of usage in the selection of timbre for song arrangements. It also discusses why musical genres are always performed with a certain established instrumental setting despite the virtually ininite possible combinations. Despite their revealing insights, these propositions leave a gap about timbre role in meaning production. In the present work, we argue that timbre is an usage element in itself regardless its manifestation in speciic musical genres. Formulated in these terms, the issue unveils its convergence with Carmo Jr.’s relections on the 44 Primitives timbre pertinence to the connotative level of analysis (Carmo Jr. 2007, pp. 137147) as well as with Dietrich’s statements about unusual instrumentation in arrangements (Dietrich 2008, pp. 137-142). Carmo Jr. proposes to organize the sound parameters into a relational net (Zilberberg, 2006b) and to distinguish categories pertaining to the schema and to the denotative level from those pertaining to the usage and to the connotative level. he irst group consists of minimal suprassegmental units named by the author as “tonemes”, “chronemes” and “dynamemes”, which correspond respectively to pitch, note duration and loudness. he second group comprises tempo, dynamics and timbre, as shown below in the tables 1 and 2 extracted from Carmo Jr.’s work (2007, p. 146). Table 1: Relational net of schema categories: pitch, note duration and loudness Table 2: Relational net of usage categories: tempo, dynamics and timbre he irst three parameters can be freely articulated with each other. At the schema level, there are no combination constraints. At this point, we can make a comparison with the vowel system of natural languages, which can be organized in a similar relational web according to its distinctive traits. In fact, what we ordinarily designate as “vowel” is the resulting combination of these traits. Despite the harsh criticism of the structuralist view of grammar, this can provide useful insights of the common principles underlying language and music. As observed by the semiotician Claude Zilberberg, the pronoun “we” 1 results from the combination of categories of person (irst person), number (plural) and case (nominative) (Zilberberg, 2006b, p. 86). In this regard, it seems likewise reasonable to consider a musical note as a combination of pitch, duration and loudness. 1. French “nous”, in the original text. Semiotic Description of Timbre and Usage-Related Variants 45 So far, our discussion remained at the schema level, whereas no structural constraints are imposed to the parameter combinations, resulting therefore in symmetrical settings. At the usage level, asymmetries are immediately noticeable, specially what concerns timbre. It is widely believed that this category cannot be analyzed in terms of binary dependencies. On one hand, it is impossible to deny that it takes part in the syntagmatic (“and…and”) relation which constitutes a musical note. On the other hand, it still remains hard to draw clear boundaries of this category. Carmo Jr. points out this conundrum precisely and suggests the need for a satisfactory answer: O timbre parece um limiar dentro do sistema. Não podemos considerá-lo como uma categoria porque esta pressupõe um efetivo mínimo de dois membros, uma oposição binária simples. Por outro lado, o timbre é o suporte sobre o qual as diferenças caracterizantes — que constituem a base da melodia — repousam e geram sentido. (Carmo Jr., 2007, p. 116) 2 For our purpose in this paper, it will suice to assume that each musical instrument corresponds to a given timbristic register taken as default despite possible similarities between them. In this respect, this set would include the open category of timbre labeled according to the source instrument. he inclusion of this parameter into the relational web would lead to the setting shown in the table 3. Table 3: expanded relational web of usage categories: tempo, dynamics, tessitura and timbre It is important to point out the sui generis character of timbre in comparison to other sound parameters. While the three irst behave as a closed category, timbre seems to be an open category. At this point, a comparison with the distinction between grammatical and lexical morphemes in natural languages can be drawn, whereas inite classes tend to control open classes (cf. Zilberberg 2000, p. 19). 2. English translation: “Timbre seems to be a threshold of the system. It cannot be considered as a category because it presupposes at least two members, a simple binary opposition. On the other hand, timbre is the material base on which the characterizing diferences — which constitutes the identity of the melody — lie and generate meaning”. 46 Primitives 2. Orchestration handbooks and the written register of musical praxis Assuming this hypothesis to be reasonable, we will point out evidences of constraints between timbre, tessitura, dynamics and tempo at the usage level. In order to argue for this approach, we have collected and analyzed excerpts from instrumentation and orchestration handbooks, as they register collective judgments about the musical praxis of a given socio-historical context. he range of musical instruments described in such works is usually limited to a restricted aesthetic domain. hus, a real descriptive exhaustivity can barely be expected. When a wider range of instruments is covered, the description becomes less detailed and is occasionally reduced to a mere index of musical objects. Conversely, when the description provides more speciic details, the set of described instruments becomes considerably reduced. his limitation to the most canonical instruments works as an ambivalent argument to legitimate the choice for this material. hough questionable, such a selection turns out to be favorable and even necessary for analyzing open categories such as timbre. In a few words, what lies beneath such descriptions is the documentation of which possible combinations of pitch, duration and loudness are considered as ordinary or unusual for each instrument. From a semiotic perspective, technical and mechanical matters determining these limitations have a secondary role and concern rather the discourse of the musical performance than the musical discourse itself (see Dietrich, 2008, pp. 1936). To the instrumentalist and the musicologist, such details regarding the performance plays a major role. To the semiotician, it suices to recognize the enunciative marks produced by the instruments and let in the enunciate. he same caution is also valid to the instrument, which matters rather for its corresponding timbre than for its mechanical construction itself. For the purposes of this work, we will hence regard timbre as a discursive igure (cf. Greimas & Courtés, 1979, pp. 148-149), as proposed by Dietrich (2008, pp. 137-148). At this point, we should anticipate the critics that orchestration handbooks tend to assume rather a prescriptive than a descriptive attitude. his analytical choice can be justiied by an analogy with the descriptions of natural languages. It is widely known that linguists should not use normative grammar and writing style guides in order to describe a given language, since such works do not correspond to the actual state of the language. Instead, it is necessary to determine a data set extracted from authentic linguistic material. In this case, the description should outline the rules lying at the schema level. Nevertheless, such writing guides and prescriptive grammars could be used in a study about value judgments about the norms of a given speech community. When a prescriptive grammar rejects the use of a certain form in favor of another one, it registers a valuation of these forms. he same applies to dictionary entries labeled as “archaic”, “neologism”, “slang” among others. According to the threefold Semiotic Description of Timbre and Usage-Related Variants 47 division of the Saussurian parole proposed by Hjelmslev (1971, pp. 78-90), the irst case mentioned above lies at the norm level while the second lies at the usage level. In both cases, the object of analysis is beyond the schema level. It is not reasonable to ignore that written descriptions can barely comprise the whole spectrum of possible manifestations. In artistic praxis, this gap may be even larger than that one stated in the linguistic ield. Nevertheless, this approach can give us helpful hints to understand how timbre can be described from a semiotic point of view. In the next section, we will show how Hjelmslev’s concept of selection explains remarkable constraints observed in timbre descriptions present in orchestration handbooks as well as the reasons why some parametric combinations (pitch, range, duration) seems to be more prototypical when manifested by a certain timbre but not by other ones. 3. Selection between timbre and other sound parameters In his Résumé of a theory of language, Louis Hjelmslev has deined “selection” as a relationship between a constant and a variable (Hjelmslev, 1975, Def. 27). In other words, we can speak of a selection when a member of a category presupposes a term of another category, but the opposite does not necessarily apply. Giving an example used by Hjelmslev himself, the Latin preposition sine requires the ablative case, whereas the ablative does not always require this preposition (Hjelmslev, 1968, pp. 43-44). Examples of selection between timbre, pitch range, duration and loudness can be found in orchestration handbooks when observed from a semiotic point of view. We will present here at least one example of each possible selection. Rather than giving an exhaustive description of one or another instrument, we intend to demonstrate how these treatises provide evidences for the constraints between timbre and pitch, loudness and note duration. he presented excerpts were extracted from the following works: Traité de l’orchestration – Vol. I (Koechlin, 1954), he Technique of Orchestration (Kennan, 1983), he Study of Orchestration (Adler, 2002), Principios de orquestracion com ejemplos sacados de sus próprias obras (Rimsky-Korsakov, 1946) and Orchestration (Piston, 1955). he analyzed sample was limited for practical reasons. Nonetheless, one shall not infer that the validity of these data is restricted to these authors. As the aesthetic domain is rather circumscribed to the occidental music, a high degree of convergence between diferent works on this subject can be presumed. 3.1. Timbre and pitch he selection between pitch and timbre is perhaps the most easily recognizable one in an instrument description. Ater giving the most general information, 48 Primitives the authors usually present the instrument range. In other words, this constraint between categories states that, except for few cases like the organ and sound synthesizers, a given timbre cannot manifest the whole pitch range available. In natural conditions, a note in the high pitch, i.e. a C6, will never be played in a timbre of tuba as well as a trumpet can never reach a really low pitch, i.e. C2 3. Even if the selection between pitch and timbre is evident in any instrument description, we would like to show a concrete evidence of such a constraint. In the following excerpt of his Traité de l’orchestration, Charles Koechlin points out the severe range limitations of children’s voice. Il est bon de rappeler, à ce sujet, que les voix [enfantines] très étendues sont assez rares ; pourtant, j’en ai connu qui pouvaient atteindre le contre-mi [E5] et descendaient fort bas. Mais c’est l’exception, et je ne conseillerai jamais d’écrire ces notes extrêmes pour une choral enfantine ! La plupart des enfants d’ailleurs ne cultivent pas assez la voix ; les sons ne se trouvent pas bien ‘placés’, d’où nécessité de ne pas exiger des notes aiguës, qu’avec un bon entraînement ils arriveraient fort bien à sortir. (Koechlin, 1954, p. 141) 4 Another striking example is the general notion that a given timbre becomes more expressive in a speciic register. Cases like this occur more evidently in wind instruments. A sample can be found in Piston’s observations on how to enhance the performance of the orchestra trumpeter. But whereas the clarino player was admittedly a high register specialist, the orchestra trumpeter of today is expected to be at his best in the medium part of the range. It would be folly of him to weaken this more valuable aspect of trumpet playing for the sake of extending his range upward. (Piston 1955, p. 257) 3.2. Timbre and note duration he percussion instruments are the most evident case of selection between timbre and duration. It is not reasonable to ignore that some instruments have a considerable expanded pitch range, like timpani, Glockenspiel, chimes among others. However, this capability is rather limited to most of the percussion instruments like membranophones and unpitched idiophones, which cannot match the strings and the wind instruments in this matter. Due to their short 3. For practical reasons, we decided to use solely the scientiic pitch notation, whereas C4 corresponds to the central C written in the irst ledger line below a staf with treble clef. When staf notation was eventually used in the quoted excerpts, the notes were replaced for the corresponding scientiic notation written in square brackets. 4. English translation: “In this respect, it should be noted that [children] voices with a large extension are rather rare; nevertheless, I have known some which could reach the E5 as well as the low register. However, it is an exception and I would never advise to write such extreme notes for a children choir! Most children nowadays do not cultivate the voice, the notes are not well ‘placed’, therefore the need to demand no high notes, which they would manage to produce well only with a good training”. Semiotic Description of Timbre and Usage-Related Variants 49 note duration, the percussion instruments require a minimum amount of speed. Likewise, such a constraint also led to the exclusion of the harpsichord from the modern orchestra. he following excerpt of Adler’s treatise gives a clear example of this process. During the baroque era and even in some of the early Haydn symphonies, the harpsichord was always present in the orchestra to realize the continuo parts. When the orchestra expanded and the style changed this instrument was no longer needed as an integral part of the ensemble; because of its relatively small sound, it was replaced by the piano. (Adler 2002, p. 478) In contrast to these predictable examples, we would like to show an opposite scenario, where timbre is rather incompatible with short durations. Due to its sluggish reaction time, the pipe organ performs poorly in fast runs. It requires a minimum amount of duration, as stated by Charles Koechlin in the excerpt below. Des accords solides, pleins, avec le grand jeu et f, ont en général une sonorité magniique: mais il est bon que les notes puissent durer un certains laps de temps. Pour une réalisation polyphonique à 4, 5 parties, l’orgue ne se prête pas aussi bien que l’orchestre à de multiples mouvements rapides (d’ailleurs, en général d’exécution fort diicile) et mieux vaut, dans le cas des grands f, soit des accords qui se prolongent un peu, soit une seule partie (ou deux) parcourant le clavier en gammes ou arpèges. (Koechlin 1954, p. 131) 5 Likewise, low-pitched wind instruments (i.e. bassoon, contrabassoon) perform at best when playing in a decreased tempo and the note length is extended. In his handbook, Piston explains why such instruments cannot achieve good results in fast phrases, as we quote below heoretically, anything playable on the bassoon is playable on the contrabassoon, but the slow vibrations and inertia of the large instrument prevent anything approaching nimbleness or easy agility. A certain clumsy impression is inevitable. […]. he staccato is dry and heavy. Faster repeated tonguing is diicult because of the slow response of the air column. (Piston 1955, p. 203) 3.3. Timbre and loudness Examples of selection between loudness and timbre are less frequent since the technical development of the instruments and the playing technique evolution contributed to overcome limitations in this matter. Due to such transformations, this kind of constraints is more easily found in instruments used in ancient and 5. English translation: “Solid, full chords with a great set of notes and f have mostly a terriic sonority: but it is advisable that the notes can be sustained for a certain time lapse. For a polyphonic composition with 4 or 5 voices, the organ does not perform as good as the orchestra in multiple fast runs (by the way, mostly hard to be performed) and, in the case of great fortissimos, it is more worthy either sustaining chords, or a single part (or two) running the keyboard in scales or arpeggios”. 50 Primitives baroque music. With the volume increase caused by the growth of the European orchestras as well as the technical improvement of the instruments, these instruments were gradually overcome throughout history. Overwhelmed by the technical lexibility of the piano, the harpsichord is a clear case of constraint between timbre and loudness. Its presence in the modern orchestra has been rather restricted due to its weak sound projection as well as its limited range of dynamic variations. he following quotation extracted from Kent Kennan’s handbook attests precisely this process. Although the harpsichord was frequently used in combination with other instruments during the Baroque period (generally to supply the realized igured bass), its appearances in the modern orchestra have been few. One problem is the fact that its tone is so light as to be easily covered by other instruments and easily lost in a large hall. […] In writing for this instrument, one must remember that it cannot make diferences in volume by means of a lighter or heavier touch. (Kennan 1983, p. 360) Despite the considerable technical progress made in the 20th century, such constraints never vanish completely. In our days, they are still widely present in the plucked strings (i.e. acoustic guitars, harps). A clear example of longstanding and successful combination of timbre and sot dynamics is the harp: “El timbre tierno y poético del arpa es favorable a todos los matices dinámicos, pero nunca es pujante; el orquestrador deberá pues, usarlo con precaución” (Rimsky-Korsakov 1946, p. 33). 6 Likewise, one of the most productive cases of this kind of constraints is the acoustic guitar. Interestingly, the same feature taken as a law in an orchestra (e.g. harpsichord) has turned the guitar into a good accompaniment to the human voice. Its eicacy is largely corroborated by several examples of the Brazilian popular song, namely the interpretation style of João Gilberto and Bossa Nova. he following excerpt registers the loudness limitation of the guitar, making it more adequate to performances in closed places and smaller ensembles. La guitare s’allie merveilleusement bien à la voix humaine : c’est, entre tous, l’instrument des sérénades… […] il serait à souhaiter que l’on écrivît des œuvres de musique de chambre où la guitare jouerait son rôle : je suis certain qu’elles pourraient être très réussies, et que par exemple un petit groupe instrumental : Flûte avec alto (ou Cor anglais et violoncelle) se fondraient parfaitement à la guitare. Quant à son utilisation dans l’orchestre elle n’est à sa place qu’en des cas exceptionnels ; en général on se contente d’évoquer plutôt la guitare, par des combinaisons de l’orchestre normal. — De toute façon, si vous l’écrivez comme faisant partie de l’orchestre, rappelez-vous qu’elle a peu de sonorité; en conséquence, veillez à ne la point couvrir. (Koechlin 1954, p. 210) 7 6. English translation: “he harp’s sot and poetic timbre is favorable to all dynamics, but it is never powerful; the orchestrator should use it carefully.” 7. English translation: “he acoustic guitar matches wonderfully well with the human voice: among all, it is the instrument of the serenades … […] It would be desirable to write chamber Semiotic Description of Timbre and Usage-Related Variants 51 On the other hand, some timbres seem to manifest the opposite constraint. Besides instruments with rough dynamics control (e.g. bagpipes), this applies usually to brass instruments, whose potential of expansion to the higher levels of loudness is widely known. he full dynamic power of the brass is a dominating force capable of obliterating the sound of the rest of the orchestra, and it is oten allowed to do so by conductors lacking either authority or discrimination. he limit of loudness and tone-weight of strings and woodwinds is a physical fact. Forcing them to compete with the brass simply results in disagreeable sounds, with the brass still far in the lead. (Piston 1955, p. 203) Until this point, we have identiied how timbre selects pitch, duration and loudness separately. Such constraints result in an asymmetrical set of semiotic units, which manifest concretely as sounds and characterizes the prototypical physiognomy of each timbre. Speaking in terms of semiotic modes of existence (cf. Greimas & Courtés, 1979, p. 138), every combination is possible in the virtualized mode. However, some combinations are rarely attested in the actualized and realized modes. In other words, these conigurations occur rather rarely with certain timbres, even if they are predicted. he practical consequences of this issue can be exempliied by a simple hypothetical case. We can consider three diferent sound events: an E6, a note in f and an eighth note. Regardless of further variables such as aesthetic preferences or composition rules, a given listener will evaluate these events as ordinary if manifested respectively in the timbre of a soprano, a trumpet and a snare drum. However, if we swap these timbres respectively for a child voice, a harpsichord and an organ, these sound events will be evaluated rather as unusual or extraordinary. Before we discuss in more depth what it means in semiotic terms, we would like to showcase more complex examples of selection, i.e. those involving more than two categories. 3.4. Timbre, pitch and duration Constraints between pitch and duration are considerably frequent, especially when the sound production depends on human breathing capacity (i.e. wind instruments, singing). Discussing how the potential of human voice can be explored at best, Charles Koechlin points an interesting fact out about its diiculty in performing long notes in the high register. music pieces where the guitar plays its own role: I am sure that they could be quite successful in a small ensemble: lute with alto (or English horn and cello instead) would blend perfectly with the guitar. What concerns its use within an orchestra, it has no place except for exceptional cases; in general, it suices to evoke the guitar through a combination of the usual orchestra. — Nonetheless, if you write for it [guitar] as a part of the orchestra, keep in mind its little sonority; consequently, beware to not cover it”. 52 Primitives Cela nous mène à la conclusion suivante, que nous avons souvent vériiée par expérience : d’une façon générale, la voix humaine se fatigue bien plus à rester plusieurs mesures sur des notes hautes mais point extrêmes, qu’à donner accidentellement, avec éclat et dans la force, une ou deux notes extrêmes. (Koechlin, 1954, p. 142) 8 In this excerpt, a semiotician can recognize a tensive mechanism underlying the lyrical singing, since the high register is more prone to the impact. Hence, the energy required (tonicity in Zilberberg’s terminology) is too high so that it cannot last long in this register. he same efect applies also to the pizzicati in the bowed strings, whereas a severe speed limitation is identiied in the low registers. Los dedos de la mano derecha, encargados de dar el pizzicato, no tienen la presteza del arco; los pasajes pizzicato no pueden, pues, ser tan rápidos como los que se ejecutan con el arco. Además, la velocidad posible del pizzicato depende del espesor de las cuerdas; en los contrabajos, no podrá hacerse el pizzicato sino en las notas donde la sucesión sea mucho más lenta que lo que debiera ser en los violines. (Rimsky-Korsakov, 1946, p. 31) 9 3.5. Timbre, pitch and loudness he selection between timbre, pitch and loudness splits the instrument’s range in speciic zones with diferent possible variation in dynamics. One of the most canonical examples is the so-called chalumeau register of the clarinet. To some extent, this is a speciication of the same phenomenon observed above in the harpsichord and the acoustic guitar. For these, the constraint of loudness applies to the whole pitch range, whereas it applies only to a speciic segment of the range in other instruments. For instance, we can mention the uneven distribution of dynamics in the woodwinds. Even though they have a considerable dynamic versatility, it is not distributed equally in the whole pitch range. he western concert lute is a clear example of this asymmetry and how it gives a peculiar character to its timbre. he following excerpt taken from Charles Koechlin illustrates well this aspect: De toute façon, il est assez illusoire de compter sur un vrai f pour la première douzième de l’instrument ; mais on peut écrire cette nuance f : l’exécutant l’interprètera de son mieux en donnant tout le son possible. — Il existe une assez 8. English translation: “his leads us to the following conclusion, which we have veriied through experience: in general, the human voice tires much more when remaining many bars in the high register but not extreme than reaching eventually, with impact and strength, one or two extreme notes”. 9. English translation: “he ingers of the right hand, which are responsible to perform the pizzicato, do not have the speed of the bow; hence, the runs in pizzicato cannot be as fast as those performed with the bow. Moreover, the possible speed of the pizzicato depends on the thickness of the strings; in the double basses, the pizzicato can just be performed if the notes succession is quite slower than it should be in the violins”. Semiotic Description of Timbre and Usage-Related Variants 53 grande latitude du pp au f de la lûte; on notera seulement que si, d’une part, le grave n’est jamais réellement f, l’aigu à partir de [Re6] n’est jamais réellement pp. (Koechlin, 1954, p. 8) 10 A similar efect occurs in the timbre of the brass instruments. In these instruments, notes tend to become increasingly louder as they reach the higher registers. In his treatise, Rimsky-Korsakov highlights emphatically this aspect of the brass: “Hablando en general, para todo el grupo, el timbre resulta más esplendoroso y la sonoridad más fuerte cuando se va hacia el agudo, mientras que yendo hacia el grave, el timbre se ensombrece y la sonoridad decrece algo”. 11 (Rimsky-Korsakov, 1946, p. 25) On the other hand, the bassoon has an exact opposite behavior. While fortissimo notes in the low register are rather rare and not expected in the western concert lute, they seem to be the general rule in a bassoon’s timbre: “he lowest ith of sixth of the range is sonorous and vibrant, with a little roughness. It is rich in audible overtones. It is not easy to attack sotly, and it is incapable of anything like the pianissimo of the bass clarinet” (Piston, 1955, p. 93). 3.6. Timbre, loudness and duration At last, we should consider that loudness and duration are rarely combined in the same proportion. his statement applies especially to low-pitched wind instruments, for instance tuba and trombone. In these timbres, loud notes tend to fade away more quickly. An increase in their duration leads inevitably to a reduction of their loudness, as noticed by Koechlin’s description of the trombone quoted below: “Conseil important à formuler, touchant les f : les instrumentistes y dépensent beaucoup de soule ; en conséquence il n’est pas possible de prolonger longtemps un son f”. 12 (Koechlin, 1954, p. 88) In some cases, the execution is considered even as impossible and only a musician with outstanding technical skills could manage to achieve it. In the example pictured below, the rests for breathing are an inevitable hurdle for the tubist, which cannot hold loud notes in a too lengthy phrase. 10. English translation: “Anyway, it is quite illusive to expect a true f in the irst twelve notes of the instrument; One can however write this nuance f: the performer will interpret it given his/her best to produce its best sound possible. — here is a quite great range from pp to f in the lute; nevertheless, one will notice that, on one hand, the low register is never really f, on the other hand, the high register from D6 on is never really pp”. 11. English translation: “Generally speaking for the whole instrument set, the timbre becomes more splendorous and the sonority becomes stronger when it goes up towards the high register, whilst when going down towards the low register, the timbre becomes darker and the sonority decreases somehow”. 12. English translation: “An important advice regarding the f: the performers must spend there too much blowing air; therefore, it is not possible to sustain a f sound”. 54 Primitives he most important thing to consider when writing for the tuba is that it requires the expenditure of a great deal of breath in performance. […]. When the performer is faced with a situation such as the one that occurs in the inale of Tchaikovksy’s Symphony N. 6, a fortissimo pedal E that extends over nine ¾ measures at Moderato assai, he must break the sustained tone at several points in order to breathe. (Kennan, 1983, p. 156) his inverse relationship between loudness and duration also occurs when the sound volume of the double-basses is boosted up by increasing the number of players. Discussing about the role of the double bass in the orchestra, Piston points out that a loudness increase in this timbre inevitably results in a speed decrease. Likewise, a reduction in loudness permits a longer note duration. “It will help to remember that the aggregate sonority of the whole bass section tolerates a slower moving bow than does the tone of a single solo bass, and that longer tones are possible in sot nuances than in loud ones”. (Piston, 1955, p. 94) hough the examples above illustrate inverse relationships between loudness and duration, a direct relationship is also predicted. One typical example of convergence between these parameters is the pipe organ. Its ability to sustain notes in fortissimo can barely be overwhelmed by unplugged instruments, as observed by Samuel Adler: “he organ’s great attractions as an orchestral instrument are its ability to sustain pitches at a constant volume indeinitely […]” (Adler, 2002, p. 481). he sounds of the celesta seem to show the same correlation, though toward the opposite direction. In general, the celesta’s timbre minimizes both note duration and loudness, which leads to its peculiar sonority: “he gentle tones of the celesta have a bell-like ring but do not last long, nor can they be played staccato. Easily covered by other sounds in the orchestra, they are used primarily for decorative coloristic touches in sot nuances” (Piston, 1955, p. 348). 4. Schema and usage hough the cases discussed until now seem to be incidental, orchestration and instrumentation handbooks provide several other similar examples of selection between timbre and pitch, loudness and duration. Such constraints between these parameters limit the set of resulting combinations. In other words, certain rhythmic, melodic and dynamic patterns are more likely to be manifested in a given timbre, while others tend rather to be avoided. It supports at least partially the hypothesis that timbre pertains to the usage level, as proposed by Carmo Jr. and discussed above in this paper (cf. Section 3). his conclusion can be better understood by a simple test with the categories presented in the table 1. According to it, a musical note considered as a semiotic unit results from the combination of pitch, duration, loudness and timbre, as we have been discussing until now. Virtually, all combinations of these categories are possible. Considering Semiotic Description of Timbre and Usage-Related Variants 55 the usage categories as presented in the table 3, some combinations are rather privileged, as shown by the treatises’ excerpts, while others are unusual and even restricted. Albeit predicted, a combination like [high pitch and long duration and piano and lute] is rather unexpected. Based on the excerpts presented above, the same applies to combinations like [low pitch and long duration and forte and tuba], [high/low pitch 13 and short duration and piano and pipe organ] among others. hese constraints result in asymmetrical sets, which are commonly referred to as the “language” of an instrument. Widely spread among musicians and in the common sense, this analogy is not a mere metaphor, but highlights a striking similarity to the so-called natural languages: forms predicted by the rules of schema are rarely manifested in the usage. his mechanism applies also to grammar rules as well as to discourse-related aspects. In order to explain this idea in more depth, we will draw comparisons with diferent levels of natural language, namely phonetics, phonology, morphology and lexis. First, we would like to present asymmetries in the domain of phonetics and phonology. Based on the canonical IPA vowel chart as presented by the Handbook of the International Phonetic Association (1999), the features roundness, height and backness distinguish approximately thirty-six diferent vowels. However, due to a principle of economy, a given natural language never makes use of all vowels to build up its sound inventory. For instance, Brazilian Portuguese has seven distinctive vowels, assuming that nasal vowels are not considered as phonemes (cf. Silva 2003, pp. 171-172). It is important to underline that the features roundness and backness are redundant in this language. In other words, it means that all front vowels are necessarily unrounded. Likewise, all back vowels are necessarily rounded. Hence, a vowel combining the features [+ front] and [+ rounded] (i.e. [Y]) is not predicted in the phonological system of Brazilian Portuguese. he set of possible occurrences is once more restricted by phonological rules specifying which morphophonological, prosodic and phonotactic contexts are favorable for the occurrence of certain sounds. For instance, in Brazilian Portuguese close and close-mid-vowels are neutralized in unstressed word-inal syllables. Although the vowels /e/ and /i/ are contrastive in the vowel system of Brazilian Portuguese, this contrast is neutralized in the mentioned phonological context, what reduces the number of possible sounds within this context from seven to three (Battisti 1996, pp. 173-174). Another clear example of constraint is the distribution of consonants within the syllable. Still discussing data of Brazilian Portuguese, the consonants /s/ and /r/ never occur together in the same syllable segment. he consonantal cluster /s/+/r/ occurs only in exceptional cases (e.g. /iS.Ra.’eL/ “Israel”) while the cluster /r/+/s/ is more frequent, especially when the phoneme /r/ occurs in the coda and /s/ is the onset of the next syllable (e.g. /aR.se.’naL/ “armory”, /’uR.sO/ “bear”) (cf. Silva 13. Speciically in this example, this category is indiferent. 56 Primitives 2003, pp. 157-161). With a few examples taken from the expression plan of natural languages, one can verify that the number of realized items is always smaller than the number of realizable ones. 14 When we take the content plan into consideration, the set of realized forms becomes even more restricted. Let us suppose that the vowels /a/, /e/ and /o/ and the consonants /k/, /m/ and /l/ occur in a given word. For this sample test, we will exclude the combinations, which violating the rules for a well-formed syllable in Brazilian Portuguese and we will place arbitrarily the lexical accent on the second syllable. In this scenario, a total of thirty-six diferent forms can be obtained. Despite the high number of results, a native speaker would acknowledge just a few of them as meaningful words, as shown in the table 4: Table 4: phonologic possible sequences in Brazilian Portuguese Although all the constructions listed above are well-formed according to phonologic rules (i.e. phonotactics, syllabic structure), just a limited number of them is incorporated in the word stock of Brazilian Portuguese, which leads to an asymmetric distribution. Such asymmetries can be easily recognizable in morphology, semantics and lexicon. In linguistics, this phenomenon is widely known as “hole in the pattern” or “gap” and occurs when a given linguistic form does not exist although it is predicted by the systematic rules of a particular language (Crystal, 1991, p. 149). In morphology, there are several examples of such gaps. To illustrate this, we would like to highlight the case of defective verbs. For instance, forms like “I rain” or “they snow” never occur in English. Likewise, the French verb “falloir” is conjugated just in the third person singular. Another clear example is the so14. About the terms “realizable” and “realized”, see Fontanille & Zilberberg (1998, p. 130). Semiotic Description of Timbre and Usage-Related Variants 57 called unpaired negatives, i.e. negative words whose positive counterparts are rarely or never attested in language usage. he pair “uncertain” – “certain” is absolutely regular in opposition to the pair “unspeakable” – * “speakable”, since the positive form “speakable” hardly occurs, at least with the opposite meaning of “unspeakable” (as something hideous or impossible to be described in words). In semantics, we can mention gaps in the gender distinction in the semantic ield of family members. For instance, the sequence father – mother – parents shows an even distribution (masculine – feminine – neutral). In contrast, the sequence uncle – aunt – ? lacks a neutral term corresponding to “parents”. An opposite coniguration occurs in the sequence ? – ? – cousin, where the masculine and feminine terms are neutralized and only the neutral term is present. A similar case is observed in verb semantics. he semantic opposition mieten – vermieten in German becomes neutralized in languages like Brazilian Portuguese (“alugar”) and French (“louer”). Gaps in the domain of lexicon are by far the most easily recognizable for the semiotician, since the French Semiotics has traditionally employed and incorporated lexical analyses in its analytical toolbox. In his notorious study about the anger De la colère : étude de sémantique lexicale published in Du sens II (Greimas, 1983), 15 A.J. Greimas observes that lexemes are frequently a condensed form of complex narrative and discursive structures (Ibid., p. 225). In Greimas’ account, certain narrative, thematic and igurative conigurations are condensed in and manifested by already existing lexical units. In contrast, other conigurations do not correspond clearly to any lexeme available in a given language. his iltering mechanism afects also the discursive passions, conceived as a product of the social crystallization of speciic modal values. In Sémiotique des passions (Greimas & Fontanille, 1991), this principle of organization is named “connotative taxonomy” (Ibid, pp. 86-99). In this book, A.J. Greimas and J. Fontanille declare: “[…] la langue naturelle est à cet égard comme le témoin de ce que l’histoire d’une culture a retenu comme passions parmi toutes les combinaisons modales possibles” (Ibid, p. 111). 16 J. Fontanille and Cl. Zilberberg corroborate this account. Discussing the enunciative praxis, they observe that the semantic ield of self-esteem is irregularly lexicalized in French, since the sememes and the distinctive features are not evenly matched (Fontanille & Zilberberg, 1998, p. 141). A noteworthy aspect of such accidental gaps, be it in phonology, morphology, semantics or lexis, lies in its close relationship with the usage level. Forms predicted at the schema level are not manifested at the usage level, though they are expected to occur. 15. An english translation of this article was published with the title “On Anger: A Lexical Semantic Study” (Greimas, 1987, pp. 148-164). 16. English translation: “Natural language is in this respect a demonstration of what the history of a given culture has retained by way of passions among all the modal combinations possible” (Greimas & Fontanille 1993, p. 101). 58 Primitives his ilter is closely related to the enunciative praxis, which regulates the emergence and disappearance of linguistic and semiotic forms in daily use. A clear example is provided by neology. Despite its creativity efect, a neologism comprises a phonic chain and a semantic structure, both already available in the schema level of the language. Contrary to appearances, such forms labeled usually as “creative” are indeed predicted by the language schema, but remains by any reason unexplored by the enunciative praxis. his notion is not properly new since Saussure’s Cours de linguistique générale: C’est donc une erreur de croire que le processus générateur ne se produit qu’au moment où surgit la création ; les éléments en sont déjà donnés. Un mot que j’improvise, comme ‘in-décorable’, existe déjà en puissance dans la langue ; on retrouve tous ses éléments dans les syntagmes tels que décor-er, décor-ation : pardonn-able, mani-able : in-connu, in-sensé, etc. et sa réalisation dans la parole est un fait insigniiant en comparaison de la possibilité de le former. (Saussure, 1962, p. 227) 17 5. Implication and concession he examples presented until this point show how timbre imposes constraints on the output set of all possible combinations of pitch, duration and loudness. In natural languages, a similar process is also observed in phonology, morphology, semantics and lexis. According to the semiotic basic principle that the same structural rules should apply to both verbal and non-verbal systems, we claim in this article that the constraints observed in timbre as well as in the grammar ield have the same nature. However, an important diference between these systems must be noted. In natural languages, the so-called ungrammatical constructions represent a signiicant part of the constrained forms, since they will never be uttered by a native speaker. On the contrary, it is barely defensible to speak of a corresponding instance of ungrammatical forms at the discourse level, especially what concerns the issue of timbre discussed here. Unlike grammaticality rules, it is virtually impossible to disprove any occurrence of discursive forms. When the authors of orchestration handbooks and treatises note the limitations of a given instrument, they are doing nothing else than pointing out what is considered as predictable or rather uncommon to its timbre. When we 17. English translation: “It is wrong to suppose that the productive process is at work only when the new formation actually occurs. he elements were already there. A newly formed word like in-décor-able already has a potential existence in language; all its elements are found in syntagms like dé-corer ‘decorate’, dé-coration ‘decoration’, pardonn-able ‘pardonable’, maniable ‘manageable’: in-connu ‘unknown’, in-sensé ‘insane’, etc. and the inal step of realizing it in speaking is a small matter in comparison with the build-up of forces that makes it possible” (Saussure 1959, p. 166). Semiotic Description of Timbre and Usage-Related Variants 59 recognize a speciic timbre, we can anticipate which melodic-rhythmic patterns are more likely to occur, opposed to those which are rather improbable. What seems particularly intriguing is that timbre shit alone can turn a trivial sound event into an extraordinary one. We would like to illustrate this with a simple comparison. A given phrase can sound as complex and unusual in the timbre of an acoustic guitar due to its melodic progression. However, the same phrase would sound trivial in a timbre of a piano due to its broader lexibility, as is known. he opposite situation is also possible. A melody considered as ordinary in the timbre of a piano may become extraordinary if performed in a timbre with less lexible pitch range and dynamics (for instance, recorders and ocarinas). In order to explain this efect in semiotic terms, we would like to recall the relections of the semiotician Cl. Zilberberg (2006a) about the opposition between the regimes of implication and concession. According to this author, the implication regimen is related to the reiteration of predicted events, which conirm the expectations of a subject (parvenir). A classical case of implication regimen is the causal logic underlying Propp’s studies on narrative. he regimen of concession is related to the sudden intervention of unexpected events contradicting the predictions of the causal logic (survenir). A clear example of concession is found in the epiphanic experiences as studied by A.J. Greimas in De l’imperfection (Greimas 1987). From this standpoint, we propose that the descriptions presented by orchestration treatises should be read in terms of implication and concession regimen, rather than a description of “ungrammatical constructions” in music. In other words, such kind of works present what should be considered as ordinary or extraordinary for each particular timbre. his interpretation in terms of tensive semiotics brings more satisfying answers, as it takes into account not only the canonical repertoire, but also what can still be achieved as aesthetic movements and performance techniques evolve. In order to illustrate the approach of the tensive semiotics on this, we would like to recall the aforementioned Koechlin’s excerpt about the human voice (see Section 3.4.). As noticed by this author, the human voice cannot sustain long notes in the higher register without being burdened. In the regimen of implication, this feature could be described by the following formula: “Human voice cannot last many bars in the higher register because it tires quickly”. However, the opposite relation cannot be a priori excluded. he empirical experience of artistic performances shows how musicians are able to innovate and surpass the given aesthetic limits. herefore, we could describe the regimen of concession in this example with the following formula: “Human voice can last many bars in the higher register although it tires quickly”. 60 Primitives he most signiicant advance brought by this account lies in the close relationship between the implication and concession regimen and the veridiction. 18 According to Claude Zilberberg’s proposal in his Éléments de grammaire tensive (Zilberberg, 2006a), the entry “concession” presented in the glossary at the end of his work explains that the regimen of concession is related to the unbelievable. Likewise, the regimen of implication is related to what is expected and believable: “Et c’est justement peut-être la dimension iduciaire qui est à même d’exhiber le fonctionnement sémiotique de la concession. La dimension iduciaire a pour verbe-pivot ‘croire’ et pour alternance élémentaire le couple : croire vs. ne pas croire” (Zilberberg, 2006a, p. 204). 19 According to the Merriam Webster Dictionary, the term “unbelievable” refers to something that is “too improbable for belief; of such a superlative degree as to be hard to believe”. In this respect, virtuosity could be considered as the best example of regimen of concession. he astonishing efect caused by the performance of the virtuoso lies precisely in its superlative character as well as its unpredictability, both aiming to surpass the established aesthetic limits. he boundaries between the implication and concession are outlined by the discursive praxis. J. Fontanille and Cl. Zilberberg observe that both the acceptance of innovative and the rejection of obsolete semiotic forms require a collective and intersubjective sanction (Fontanille & Zilberberg, 1998, p. 134). his aspect may be easily observed not only in the development of the instrument construction but also in the performance developments called “extended technique”. What was considered as extraordinary a few centuries ago is nowadays evaluated as ordinary. Likewise, what is evaluated as extraordinary in our days will probably be overcome in the future. To illustrate this, we can consider the aforementioned case of harpsichord (see Section 3.2.). Combinations of dynamics and duration considered as extraordinary at the time of the development of this instrument are nowadays rather habitual. he same applies to the development of electric instruments and synthesizers. In few words, what these devices do is overcome limitations of traditional instruments by rendering a wider range of combinations between pitch, duration, loudness and timbre possible. From a semiotic point of view, we can airm that both technical development as well as neology are closely related to the domain of usage. he innovation efect caused by the linguistic and musical (or discursive, to be more precise) creativity is apparently unlimited because the subset of language usage is necessarily embedded within the wider set of language schema. 18. About the deinition of “veridiction”, see Greimas & Courtés (1979, pp. 417-418). 19. English translation: “And it is precisely the iduciary dimension which is capable of showing the semiotic mechanism of the concession. he iduciary dimension has as key-verb ‘to believe’ and, as an elementary alternance, the opposition: to-believe vs. not-to-believe”. Semiotic Description of Timbre and Usage-Related Variants 61 What concerns timbre speciically, we can conclude that partial descriptions in semiotic terms are possible, considering that the constraints analyzed so far impose limitations to the timbre inventory and build up prototypical sound physiognomies, usually labeled by musicians as the “instrument language” (i. e. the language of guitar, lute, mandolin etc.). 6. Conclusion his study brings concrete evidences against the belief that timbre can be simply switched without afecting other musical parameters. his inding has been rendered possible due to the discretization of hierarchized level of analysis, as traditionally proposed and employed by the French Semiotics as well as by the European structuralist linguistics, namely L. Hjelmslev. In this paper, the distinction between schema and usage plays a major role and gives to the semiotic approach a considerable advantage over other methods, which cannot distinguish diferent levels of pertinence in the meaning generation. Considering the constraints extracted from orchestration and instrumentation treatises and presented herein, we can assert that usage-related limits are imposed to timbre. In this respect, the major role of enunciative praxis works as a key feature shared both by the musical system (i.e. timbre constraints) and the linguistic system (i.e. accidental gaps), as discussed before. Due to its discursive and usage-related character, no combination between timbre, loudness, pitch and duration can be excluded a priori; instead, it is more reasonable to treat them in terms of expected/ unexpected and its semiotic correspondent implication vs. concession, according to Claude Zilberberg’s propositions (see Section 5). As the semiotic analytical tools remain essentially the same, our approach of timbre can take advantage of its theoretical background. Likewise, it can also reveal interesting mechanisms that should be also valid to other codes, such as verbal language, painting, photography and so on. he major limitation of this work is the use of binary oppositions to the categories of loudness (forte vs. piano), pitch (high vs. low) and duration (short vs. long). hough suicient when treating timbre as a discontinuous feature, this articulation should be enhanced and evolved to a continuous scale with gradual values. Furthermore, the current study has only examined written descriptions provided by handbooks and orchestration treatises. Whilst this approach can provide useful insights on how meaning efects are generated by timbre, it is strongly recommended that further research takes concrete manifestations into account. Future studies describing particular orchestration and arrangements styles could correct and/or enhance the results obtained so far. he conclusions of this study support at least partially the idea of timbre as a particular physiognomy, as proposed by Carmo Jr. (2007, pp. 145-147). his standpoint seems to explain the considerable resistance to transigurations of 62 Primitives the canonical timbres established along the history of occidental music. hese indings could also point to a systematic description of musical styles (e.g. samba, jazz, folk, blues, chamber music, etc.), speciic instrument sets (e.g. strings, brass, woodwinds, etc.) and composing styles (e.g. Richard Wagner, Claude Debussy, Nikolai Rimsky-Korsakov, Paul Dukas, Maurice Ravel etc.). Due to its exploratory nature, such a semiotic approach of timbre still needs substantial improvement in its theoretical basis as well as analysis-oriented eforts to corroborate and/or falsify the outlined propositions. Nevertheless, semiotics can thus play its key role as pilot science (as once pursued) beside psychoacoustics, musicology and aesthetics towards a better understanding of timbre. Bibliographical References Adler, Samuel (1982), he Study of Orchestration, New York/London: W.W. Norton & Company; 3rd edition, 2002. Battisti, Elisa & Vieira, Maria José Blaskovski (1996), “O sistema vocálico do português”, in BISOL, Leda (ed.), Introdução a estudos de fonologia do português brasileiro, Porto Alegre: EDIPUCRS, pp. 171-204. Carmo Jr., José Roberto do (2005), Da voz aos instrumentos musicais: um estudo semiótico, São Paulo: Annablume/Fapesp. — (2007), Melodia e prosódia. Um modelo para a interface música-fala com base no estudo comparado do aparelho fonador e dos instrumentos musicais reais e virtuais, São Paulo: PhD hesis, Faculdade de Filosoia, Letras e Ciências Humanas da Universidade de São Paulo. Available on-line: http://www.teses.usp.br/teses/disponiveis/8/8139/tde12112007-141109/en.php. Coelho, Márcio (2007), O arranjo como elemento orgânico ligado à canção popular brasileira: uma proposta de análise semiótica, São Paulo: PhD hesis, Faculdade de Filosoia, Letras e Ciências Humanas da Universidade de São Paulo, 2007. Available online: http://www.teses.usp.br/teses/disponiveis/8/8139/tde-27112007-153845/en.php. Crystal, David (1985), A Dictionary of Linguistics and Phonetics, Oxford: Basil Blackwell; 3rd edition, Oxford: Blackwell Publishers, 1991. Dietrich, Peter (2008), Semiótica do discurso musical: uma discussão a partir das canções de Chico Buarque. São Paulo, PhD hesis, Faculdade de Filosoia, Letras e Ciências Humanas da Universidade de São Paulo. Available on-line: http://www.teses.usp.br/ teses/disponiveis/8/8139/tde-12012009-155735/en.php. Fontanille, Jacques (1998), Sémiotique du discours, Limoges: PULIM; English trans. he Semiotics of Discourse, New York: P. Lang, 2006. Fontanille, Jacques & Zilberberg, Claude (1998), Tension et signiication, Sprimont: Mardaga. Semiotic Description of Timbre and Usage-Related Variants 63 Greimas, Algirdas Julien (1983), Du sens II : essais sémiotiques, Paris: Seuil; English trans. On meaning. Selected Writings in Semiotic heory, Minneapolis: University of Minnesota Press, 1987. — (1987), De l’imperfection, Périgueux: P. Fanlac. Greimas, Algirdas Julien & Fontanille, Jacques (1991), Sémiotique des passions : des états des choses aux états d’âme, Paris: Éditions du Seuil; English trans. he Semiotics of Passions: From States of Afairs to States of Feeling, Minneapolis: University of Minnesota Press, 1993. Greimas, Algirdas Julien & Courtés, Joseph (eds., 1979), Sémiotique. Dictionnaire raisonné de la théorie du langage, Paris: Hachette; English trans. Semiotics and Language: An Analytical Dictionary, Bloomington: Indiana University Press, 1982. Hjelmslev, Louis, Prolégomènes à une théorie du langage (1968), Paris: Éditions de Minuit. — Essais linguistiques (1971), Copenhague: Nordisk Sprog- og Kulturforlag. — Résumé of a heory of Language (1975), Copenhague: Nordisk Sprog- og Kulturforlag. International Phonetic Association, Handbook of the International Phonetic Association: A Guide to Use the International Phonetic Alphabet (1999), Cambridge: Cambridge University Press. Kennan, Kent (1952), he Technique of Orchestration, Englewood Clifs: Prentice- Hall; 3rd edition, 1983. Koechlin, Charles (1954), Traité de l’orchestration, vol. 1, Paris: Max Esching. Nespor, Marina &Vogel, Irene (1986), Prosodic Phonology, Dordrecht-Holland: Foris Publications. Piston, Walter (1955), Orchestration, New York: W.W. Norton & Company Inc. Publishers. Rimsky-Korsakov, Nikolay (1922), Principles of Orchestration, with Musical Examples Drawn from His Own Works, vol. 1, New York: Kalmus; Spanish trans. Principios de orquestración: con ejemplos sacados de sus propias obras, vol. 1, Buenos Aires: Ricordi Americana, 1946. Saussure, Ferdinand de (1962), Cours de linguistique générale, Paris: Payot. Silva, haïs Chistófaro (2003), Fonética e fonologia do português: roteiro de estudos e guia de exercícios, São Paulo: Contexto. Tatit, Luiz (1986), A canção: eicácia e encanto, São Paulo: Atual. — (1997), Musicando a semiótica: ensaios, São Paulo: Annablume. — (2002), O cancionista, São Paulo: Editora da Universidade de São Paulo. — (2004), O século da canção, Cotia: Ateliê Editorial. — (2007), Semiótica da canção, São Paulo: Editora Escuta. Zilberberg, Claude (1988), Raison et poétique du sens, Paris: Presses Universitaires de France. 64 Primitives — (2000), “Les contraintes sémiotiques du métissage”, Tangence, 64, pp. 8-24. Available on-line: http://www.erudit.org/revue/tce/2000/v/n64/008188ar.pdf. — (2006a), Éléments de grammaire tensive, Limoges, PULIM; Brazilian Portuguese trans. Elementos de semiótica tensiva, São Paulo, Ateliê Editorial, 2011. — (2006b), “Précis de grammaire tensive”, Tangence, 70, pp. 111-143; Brazilian Portuguese trans. “Síntese de gramática tensiva”, Signiicação – Revista Brasileira de Semiótica, 25, pp. 163-204, 2006.
© Copyright 2026 Paperzz