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Gabriel Pareyon (born October 23, 1974,
Zapopan Zapopan () is a city and municipality located in the Mexican state of Jalisco. Part of the Guadalajara Metropolitan Area, Zapopan is the largest city in the state. It's best known as the home of the Virgin of Zapopan, an image of the Virgin ...
,
Jalisco Jalisco, officially the Free and Sovereign State of Jalisco, is one of the 31 states which, along with Mexico City, comprise the 32 Political divisions of Mexico, Federal Entities of Mexico. It is located in western Mexico and is bordered by s ...
) is a polymathic Mexican composer and
musicologist Musicology is the academic, research-based study of music, as opposed to musical composition or performance. Musicology research combines and intersects with many fields, including psychology, sociology, acoustics, neurology, natural sciences, f ...
, who has published literature on topics of philosophy and
semiotics Semiotics ( ) is the systematic study of sign processes and the communication of meaning. In semiotics, a sign is defined as anything that communicates intentional and unintentional meaning or feelings to the sign's interpreter. Semiosis is a ...
. He has a PhD in
musicology Musicology is the academic, research-based study of music, as opposed to musical composition or performance. Musicology research combines and intersects with many fields, including psychology, sociology, acoustics, neurology, natural sciences, ...
from the
University of Helsinki The University of Helsinki (, ; UH) is a public university in Helsinki, Finland. The university was founded in Turku in 1640 as the Royal Academy of Åbo under the Swedish Empire, and moved to Helsinki in 1828 under the sponsorship of Alexander ...
, where he studied with Solomon Marcus and
Eero Tarasti Eero Aarne Pekka Tarasti (born 27 September 1948 in Helsinki) is a Finnish musicologist and semiotician, currently serving as Professor Emeritus of Musicology at the University of Helsinki. He has contributed significantly to the semiotics of ...
(2006–2011). He received bachelor's and master's degrees in composition at the Royal Conservatoire,
The Hague The Hague ( ) is the capital city of the South Holland province of the Netherlands. With a population of over half a million, it is the third-largest city in the Netherlands. Situated on the west coast facing the North Sea, The Hague is the c ...
(2000–2004), where he studied with Clarence Barlow. He previously studied at the Composers’ Workshop of the National Conservatoire of Music, Mexico City (1995–1998), led by
Mario Lavista Mario Lavista (April 3, 1943 – November 4, 2021) was a Mexican composer, writer and intellectual. Life and career Lavista was born in Mexico City. He enrolled the Composition Workshop (Taller de Composición) at the National Conservatory in 19 ...
.


Composer

Pareyon's output is specially known by '' Xochicuicatl cuecuechtli'' (2011), the first modern opera in the Americas that exclusively uses a Native American language (
Nahuatl Nahuatl ( ; ), Aztec, or Mexicano is a language or, by some definitions, a group of languages of the Uto-Aztecan language family. Varieties of Nahuatl are spoken by about Nahuas, most of whom live mainly in Central Mexico and have smaller popul ...
in this case) as well as music instruments native to Mexico. This work was awarded by the
UNESCO The United Nations Educational, Scientific and Cultural Organization (UNESCO ) is a List of specialized agencies of the United Nations, specialized agency of the United Nations (UN) with the aim of promoting world peace and International secur ...
and the International Theatre Institute, in 2015. More recently, his ''Eight Songs in Nahuatl'' (''Chicueyicuicatl''), for solo voice and percussion quartet, made themselves known simultaneously on an international live tour (awarded at the Classical:NEXT Festival Schauspiel Hannover, 2022) and a series of viewings in film version (best musical feature in an indigenous language, PARAI Festival,
Chennai Chennai, also known as Madras (List of renamed places in India#Tamil Nadu, its official name until 1996), is the capital city, capital and List of cities in Tamil Nadu by population, largest city of Tamil Nadu, the southernmost states and ...
, India, 2022, and Wairoa Māori Film Festival, New Zealand, 2022). As young composer (from 2006 and earlier), several works written by Pareyon were selected for the Thailand International Saxophone Competition for Composers (
Bangkok Bangkok, officially known in Thai language, Thai as Krung Thep Maha Nakhon and colloquially as Krung Thep, is the capital and most populous city of Thailand. The city occupies in the Chao Phraya River delta in central Thailand and has an estim ...
, 2006, I Prize), the 2nd International Jurgenson Competition for young composers (Moscow, 2003, II Prize) and the 3rd Andrzej Panufnik International Composition Competition (
Kraków , officially the Royal Capital City of Kraków, is the List of cities and towns in Poland, second-largest and one of the oldest cities in Poland. Situated on the Vistula River in Lesser Poland Voivodeship, the city has a population of 804,237 ...
, 2001, III Prize). His earlier production includes works for Classical instruments and ensembles. He also experimented with Mexican traditional instruments (such as huehuetl, teponaztli and a wide variety of woodwinds), and metre and phonetics from
Nahuatl Nahuatl ( ; ), Aztec, or Mexicano is a language or, by some definitions, a group of languages of the Uto-Aztecan language family. Varieties of Nahuatl are spoken by about Nahuas, most of whom live mainly in Central Mexico and have smaller popul ...
and Hñähñu, also known as the Otomí language. His music also combines wider aspects of
linguistics Linguistics is the scientific study of language. The areas of linguistic analysis are syntax (rules governing the structure of sentences), semantics (meaning), Morphology (linguistics), morphology (structure of words), phonetics (speech sounds ...
and human speech, mathematical models (
series Series may refer to: People with the name * Caroline Series (born 1951), English mathematician, daughter of George Series * George Series (1920–1995), English physicist Arts, entertainment, and media Music * Series, the ordered sets used i ...
,
patterns A pattern is a regularity in the world, in human-made design, or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated li ...
,
algorithms In mathematics and computer science, an algorithm () is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for per ...
, etc.), and models coming from
bird vocalization Bird vocalization includes both bird calls and bird songs. In non-technical use, bird songs (often simply ''birdsong'') are the bird sounds that are melodious to the human ear. In ornithology and birding, songs (relatively complex vocalizatio ...
and
nonverbal communication Nonverbal communication is the transmission of messages or signals through a nonverbal platform such as eye contact (oculesics), body language (kinesics), social distance (proxemics), touch (Haptic communication, haptics), voice (prosody (lingui ...
.


Musicologist

As musicologist, the publications of Pareyon contributed to recognize aspects of the new music from Mexico in his own country and abroad, e.g. in the explanation and extension of Julio Estrada's work (see McHard 2006, 2008:264). Accordingly, his work is quoted, as early as from 2000, by international compilations about the music of Mexico (see e.g. Olsen & Sheehy 2000:108; Nattiez et al. 2006:125, 137, 1235) and specialised literature (see e.g. Brenner 2000:177; Madrid & Moore 2013:94, 126). The Preface to the book ''Musicians' Migratory Patterns: American-Mexican Border Lands'' starts with the following statement:


Systematic Musicology

In the field of
systematic musicology Systematic musicology is an umbrella term, used mainly in Central Europe, for several subdisciplines and paradigms of musicology. "Systematic musicology has traditionally been conceived of as an interdisciplinary science, whose aim it is to explor ...
, Pareyon's book ''On Musical Self-Similarity'' (Helsinki, 2011) predicts the role of
analogy Analogy is a comparison or correspondence between two things (or two groups of things) because of a third element that they are considered to share. In logic, it is an inference or an argument from one particular to another particular, as oppose ...
as one of the capital issues for future musicology and cognitive science, foreseeing conclusions of Hofstadter & Sander's ''Surfaces and Essences'' (2013). According to Curtis Roads (2015:316), ''On Musical Self-Similarity'' "is an intriguing treatise in which repetition is generalized to several modes of self-similarity that are ubiquitous in musical discourse.". The book is frequently referenced in monographs, journals and dissertations, mainly in the fields of representation of temporal groups and semigroups, machine learning and human-machine hybrid composition, non-linear cognitive studies of musical processes, neural dynamic programming, and self-repetition algorithmic modelling.


Textiles understood as Musical Patterns

Grandson of a textile worker from La Experiencia (
Zapopan Zapopan () is a city and municipality located in the Mexican state of Jalisco. Part of the Guadalajara Metropolitan Area, Zapopan is the largest city in the state. It's best known as the home of the Virgin of Zapopan, an image of the Virgin ...
,
Jalisco Jalisco, officially the Free and Sovereign State of Jalisco, is one of the 31 states which, along with Mexico City, comprise the 32 Political divisions of Mexico, Federal Entities of Mexico. It is located in western Mexico and is bordered by s ...
), Pareyon’s article “Traditional patterns and textures as values for meaningful automatization in music”, published in Finland, in 2010, is a seminal work proposing that textiles and traditional fabrics, generalized as frieze group patterns, may be and indeed are instructive as musical contents. This idea inspired a PhD dissertation from
Durham University Durham University (legally the University of Durham) is a collegiate university, collegiate public university, public research university in Durham, England, founded by an Act of Parliament (UK), Act of Parliament in 1832 and incorporated by r ...
(2016), and contributed to a framework for systematizing the catalog of harmonic styles developed as an interactive inmersion by the
University of Science and Technology of China The University of Science and Technology of China (USTC) is a public university in Hefei, China. It is affiliated with the Chinese Academy of Sciences, and co-funded by the Chinese Academy of Sciences, the Ministry of Education of the People' ...
USTC ( Huawei Technologies Co Ltd). A clarifying chapter in these terms appears entitled “A matter of complementarity” within ''On Musical Self-Similarity'', pages 458–461.


Music as an Ecology

Another pioneering writing is “The Ecologic Foundations of Stylistics in Music and in Language”, published by the
Aristotle University The Aristotle University of Thessaloniki ( AUTh; ), often called the University of Thessaloniki, is the second oldest Tertiary education, tertiary education institution in Greece. Named after the philosopher Aristotle, who was born in Stagira (anc ...
and the
University of Edinburgh The University of Edinburgh (, ; abbreviated as ''Edin.'' in Post-nominal letters, post-nominals) is a Public university, public research university based in Edinburgh, Scotland. Founded by the City of Edinburgh Council, town council under th ...
, in 2009. There, the conclusions lead to conceiving culture as an intersection between the
semiosphere The semiosphere is a concept in cultural semiotics and Biosemiotics, biosemiotic theory, according to which - contrary to ideas of nature determining sense and experience - the Phenomenon, phenomenal world is a creative and logical structure of ...
and the
ecological niche In ecology, a niche is the match of a species to a specific environmental condition. Three variants of ecological niche are described by It describes how an organism or population responds to the distribution of Resource (biology), resources an ...
’s complexity: The latter cannot be disengaged from the political and social dimensions of music, as Pareyon states at the end of another paper, “How Music Can Signify Politics in the Postmodern Era” (Helsinki, 2011): Finally, this idea of ''diversity of music'' is developed in a later book, ''Resonancias del abismo como nación'' (in Spanish, 2021), as follows (page 372):


Semiotician

Pareyon’s output in the field of
semiotics Semiotics ( ) is the systematic study of sign processes and the communication of meaning. In semiotics, a sign is defined as anything that communicates intentional and unintentional meaning or feelings to the sign's interpreter. Semiosis is a ...
is significant mainly through his capital contributions of '' polar semiotics'', ''intersemiotic continuum'' and ''intersemiotic synecdoche''.


Polar semiotics

Probably Pareyon's most important contribution, both to
semiotics Semiotics ( ) is the systematic study of sign processes and the communication of meaning. In semiotics, a sign is defined as anything that communicates intentional and unintentional meaning or feelings to the sign's interpreter. Semiosis is a ...
and
musicology Musicology is the academic, research-based study of music, as opposed to musical composition or performance. Musicology research combines and intersects with many fields, including psychology, sociology, acoustics, neurology, natural sciences, ...
, is his construction of Polar semiotics (also ''Polar semiology'') within the mathematical domain of
Category theory Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory ...
.
Thomas Sebeok Thomas Albert Sebeok (, ; November 9, 1920December 21, 2001) was a Hungarian-born American polymath,Cobley, Paul; Deely, John; Kull, Kalevi; Petrilli, Susan (eds.) (2011). Semiotics Continues to Astonish: Thomas A. Sebeok and the Doctrine of S ...
’ famous statement ''the sign is bifacial'' (1976:117; with noticeable antecedent in Peircean semiotics) remained obscure in the context of interdisciplinary studies, until Pareyon's formal generalization, in a fashion that makes possible harmonizing cultural semiotics within a range of
Group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ( ...
. This theorization has an impact on the methods for social history, as a bond between the abstract and the ''socially real'' and the
pathos Pathos appeals to the emotions and ideals of the audience and elicits feelings that already reside in them. ''Pathos'' is a term most often used in rhetoric (in which it is considered one of the three modes of persuasion, alongside ethos and ...
, since, as Pareyon concludes:


Intersemiotic continuum

Pareyon’s theorization on the ''intersemiotic continuum'' is an elaboration over Lotman (1984: 5–6)
semiosphere The semiosphere is a concept in cultural semiotics and Biosemiotics, biosemiotic theory, according to which - contrary to ideas of nature determining sense and experience - the Phenomenon, phenomenal world is a creative and logical structure of ...
and Sebeok ''semiotic continuum'' (SC). The latter expressed that "no semiotic system can exist or function unless it is ‘immersed in the semiotic continuum’—which is what Lotman terms the ''semiosphere''". However, the SC concept emphasizes the fact that there is no any gap along or across the sign network and its
interpretant Interpretant is a subject / sign that refers to the same object as another sign, transitively. History The concept of "interpretant" is part of Charles Sanders Peirce's "triadic" theory of the sign. For Peirce, the interpretant is an elemen ...
(of any sign). This is deeply related to the semiotic quiddity ''aliquid stat pro aliquo'', conventionally translated and adapted to the terms: “ sign iseverything that stands for something else". Furthermore, Kotov and Kull (2011:183) specifies that (The) "semiosphere can be described as a ''semiotic continuum'', a heterogeneous yet bounded space that is in constant interaction with other similar structures.". Congruently, the ''intersemiotic continuum theory'' (IC theory), introduced in chapter 3.8.1. of Pareyon’s ''On Musical Self-Similarity'', expands this notion to the principle that “there is no any gap along or across the semiotic dimensions and its
interpretant Interpretant is a subject / sign that refers to the same object as another sign, transitively. History The concept of "interpretant" is part of Charles Sanders Peirce's "triadic" theory of the sign. For Peirce, the interpretant is an elemen ...
s". Subsumed within the field of formal categories, this theorization adopted the rule of satisfying the
Snake lemma The snake lemma is a tool used in mathematics, particularly homological algebra, to construct long exact sequences. The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance ...
. Subsequently, this theorization strengthened the complementary concepts of ''intersemiotic synecdoche'' and ''polar semiotics''. Within the first years after the publication of these concepts in ''On Musical Self-Similarity'' (2011), the IC theory was extended to several scientific disciplines, mainly in Eastern Europe and Russia.


Intersemiotic synecdoche

The classical concept of
synecdoche Synecdoche ( ) is a type of metonymy; it is a figure of speech that uses a term for a part of something to refer to the whole (''pars pro toto''), or vice versa (''totum pro parte''). The term is derived . Common English synecdoches include '' ...
, in which a term for a part of something is used to refer to the whole, or vice versa, here is embedded into a multidimensional semiotic depth. Thus, whether "classical synecdoche" dwells within
rhetorics Rhetoric is the art of persuasion. It is one of the three ancient arts of discourse (trivium) along with grammar and logic/dialectic. As an academic discipline within the humanities, rhetoric aims to study the techniques that speakers or write ...
and
speech Speech is the use of the human voice as a medium for language. Spoken language combines vowel and consonant sounds to form units of meaning like words, which belong to a language's lexicon. There are many different intentional speech acts, suc ...
theoretical contexts, the intersemiotic synecdoche is the analogous operation, transversal to n number of semiotic dimensions. It is, also and necessarily, a subgroup of the ''intersemiotic continuum'' wholeness. Among other features, this framework expands the approach to abstract
synesthesia Synesthesia (American English) or synaesthesia (British English) is a perceptual phenomenon in which stimulation of one sensory or cognitive pathway leads to involuntary experiences in a second sensory or cognitive pathway. People with sy ...
in different conceptual domains, for instance, connecting partial codes or signs to complete codes or sign systems of potentially infinite semiotic varieties. A first order example would be as follows: let color''k'' be part of pitch p''j'' which in turn makes part of a chord ch''i'' existent with specific
timbre In music, timbre (), also known as tone color or tone quality (from psychoacoustics), is the perceived sound of a musical note, sound or tone. Timbre distinguishes sounds according to their source, such as choir voices and musical instrument ...
Fs''ω'' (i.e. Fourier spectrum) that represents specific combinatorics for a
Dirichlet L-function In mathematics, a Dirichlet L-series is a function of the form :L(s,\chi) = \sum_^\infty \frac. where \chi is a Dirichlet character and s a complex variable with real part greater than 1 . It is a special case of a Dirichlet series. By anal ...
, L. Thus, sumarizing: :L(Fs) = \fraccolor_k. Although merely substituting a symbol by another symbol or a code by another parallel code obviously results trivial, when embedding this sort of relations as connected
morphism In mathematics, a morphism is a concept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures, functions from a set to another set, and continuous functions between topological spaces. Al ...
s (see:
Category theory Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory ...
), semiotics can be understood as the realm of signs, symbols and associated operations, characterizable as the ‘visible display’ (i.e.
perception Perception () is the organization, identification, and interpretation of sensory information in order to represent and understand the presented information or environment. All perception involves signals that go through the nervous syste ...
of the signs and signic processes: the ‘color’ in the previous example), in contrast with its transversal constraints (‘invisible’ or hidden to the senses). Nevertheless, both ''perceptible'' and ''imperceptible'' plots of signs integrate the same intersemiotic continuum (being ‘explicit’ the ''pars pro toto'', and ‘implicit’ the ''toto pro pars'').


Books (selection in English)

* ''The Musical-Mathematical Mind: Patterns and Transformations'' (co-authorship). Berlin: Springer, 2017. ISBN 978-3-319-47336-9

* ''On Musical Self-Similarity'', Acta Semiotica Fennica 39: Approaches to Musical Semiotics Series, Imatra, & University of Helsinki Press (Yliopistopaino Helsinki), 2011

* RILM Music Encyclopedia

''Diccionario Enciclopedico de Musica en Mexico'', UP, Guadalajara, 2006. Vol. 1

Vol. 2

* ''Aspects of Order in Language and in Music'', Royal Conservatoire, The Hague, 2004


Articles / Chapters (selection)

* "Cognitive Semantics, Image, and Creative Imagination", ''Infrasonica'', No. 9, oct. 2023

* "Music as a Carbon Language: Clarifying Methods, Results, Fresh Data, and Perspectives”, ''MusMat – Brazilian Journal of Music and Mathematics''. 7(2), sep. 2023; pp. 1–25. DOI: 10.46926/musmat.2023v7.1-25

* "''Teponazcuauhtla'', or ''“Forest of Resonances"'' Mesoamerican Plot of Harmony", ''Journal of Mathematics and Music'', 16(3), nov. 2022. DOI: 10.1080/17459737.2022.213191

* "Three Open Questions from the Indigenous Epistemology, over Music and Mathematics in the Latin American 21st Century", ''MusMat – Brazilian Journal of Music and Mathematics'', 6(1), jun. 2022; pp. 1–11. DOI: 10.46926/musmat.2022v6n1.1-11

* "Music and Mathematics in Latin America: Major Developments in the Last 25 Years”, ''MusMat – Brazilian Journal of Music and Mathematics'', 6(1), jun. 2022; pp. 12–47. DOI: 10.46926/musmat.2022v6n1.12-47

* "Philosophical Sketches on Category Theory Applied to Music-Mathematical Polar Semiotics", ''MusMat – Brazilian Journal of Music and Mathematics'', 4(2), dic. 2020; pp. 41–51. DOI: 10.46926/musmat.2020v4n2.41-51

* "Wooden Idiophones: Classification Through Phase Synchronization Analysis” in (G. Pareyon & S. Pina-Romero, eds.) ''The Musical-Mathematical Mind''. Berlin: Springer, 2017 (231–241). ISBN 978-3-319-47336-9. * “Patterns of materiality/immateriality: dialectics in epistemology under the new scientific paradigm” in (E. Reyes-Garcia, P. Châtel-Innocenti, K. Zreik, eds.), ''Archiving and Questioning Immateriality. Proceedings of the 5th Computer Art Congress''. Paris: Europia, 2016 (57–70). ISBN 979-10-90094-23-9. * “Music as Carbon Language: A Mathematical Analogy and its Interpretation in Biomusicology”, ''MusMat – Brazilian Journal of Music and Mathematics'', (1)1, ISSN 2526-3757, MusMat Research Group (ed.), dic. 2016; pp. 25–43

* "Traditional patterns and textures as values for meaningful automatization in music", ''Musiikki : Suomen musiikkitieteellinen seura'', 40(2), Helsinki, 2010; pp. 53–59

* "The Role of Abduction in Self-Similarity: On the Peircean Concept of the Map of the Map” in (E. Tarasti, ed.) ''Abstracts of the International Summer School for Semiotic and Structural Studies : 25 Years Semiotics in Imatra'', Imatra, Finland, 2010

* "The Ecologic Foundations of Stylistics in Music and in Language" in ''Proceedings of the 2nd International Conference for PhD Music Students'',
Aristotle University The Aristotle University of Thessaloniki ( AUTh; ), often called the University of Thessaloniki, is the second oldest Tertiary education, tertiary education institution in Greece. Named after the philosopher Aristotle, who was born in Stagira (anc ...
(Thessaloniki) &
University of Edinburgh The University of Edinburgh (, ; abbreviated as ''Edin.'' in Post-nominal letters, post-nominals) is a Public university, public research university based in Edinburgh, Scotland. Founded by the City of Edinburgh Council, town council under th ...
, 2009

* "A Fractal Conjecture of Language. A Proposal for a Cognitive Frame of Semiotics", ''Proceedings of the 9th IASS-AIS International Congress of Semiotics'', Helsinki and Imatra, 2007.


Sources

* Helmut Brenner, Brenner, Helmut (2000). ''Juventino Rosas. His Life, His Work, His Time'', Harmonie Park Press, Michigan. * Lotman, Juri M. "O semiosfere" (1984). ''Sign Systems Studies (Trudy po znakovym sistemam)'', 17: 5–23. * Kotov, Kaie, & Kalevi Kull. 2011. "Semiosphere Is the Relational Biosphere" in (C. Emeche & K. Kull, eds.) ''Towards a Semiotic Biology''. London: Imperial College Press. * Madrid, Alejandro L. & Robin D. MOORE (2013). ''Danzón: Circum-Caribbean Dialogues in Music and Dance'', Oxford University Press, Oxford. * McHard, James L. (2008). ''The Future of Modern Music'', Iconic Press, 3rd edition (on page 272 Pareyon is quoted as a source for the interpretation of Julio Estrada's musical thought). * Nattiez, Jean-Jacques, Margaret Bent, Rossana Dalmonte (2005). ''Enciclopedia della Musica''. Torino: Einaudi. * Olsen, Dale A. & Daniel E. Sheehy, ''The Garland Handbook of Latin American Music'' (2nd ed.). New York: Routledge. * Roads, Curtis (2015). ''Composing Electronic Music: A New Aesthetic''. Oxford: Oxford University Press. * Rovner, Anton (2005). "Dresdener Tage des Zeitgenossisches Musik", ''New Music Connoisseur'', 13, fall/winter. * Solomos, Makis (2004). "Gabriel Pareyon: Chocs et proportions” in ''III Forum International de Jeunes Compositeurs, Societé d’Auteurs et Compositeurs de Musique''. Paris: Ministère de la Culture.


References


External links



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See also

List of musicologists Mexicayotl {{DEFAULTSORT:Pareyon, Gabriel 1974 births Mexican composers 21st-century Mexican historians Mexican male composers Musicians from Jalisco Mexican musicologists Living people Royal Conservatory of The Hague alumni Semioticians