| 1995 |
El Decamerón negro & Other Guitar Works |
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| 1996 |
El Cimarrón |
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| 1997 |
Rodrigo: Concierto de Aranjuez / Giuliani: Concerto for Guitar no. 1, op. 30 / Brouwer: Tres danzas concertantes |
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| 1997 |
Guitar Music, Volume 1: Estudios sencillos / Tres apuntes / Canción de cuna |
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| 1998 |
Cantos y danzas |
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| 1998 |
Brouwer: Concierto de Volos / Rodrigo: Concierto de Aranjuez / Arnold: Serenade, op. 50 |
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| 2001 |
Y Bolanzero |
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| 2001 |
Guitar Music, Vol. 2 |
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| 2002 |
Guitar Concerto No. 5 / Iberia Suite / From Yesterday to Penny Lane |
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| 2002 |
Rara |
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| 2003 |
Sonata / Hika / Suite no. 2 / Rito de los orishas |
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| 2003 |
Latin American Guitar Music |
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| 2004 |
Villa-Lobos: 12 Études / Brouwer: Estudios sencillos |
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| 2007 |
La ciudad de las columnas / Nuevos estudios sencillos / Suite no. 1 |
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| 2009 |
Concierto Elegiaco / Danzas Concertantes / Quintet |
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| 2013 |
Estudios Sencillos / Nuevo Estudios Sencillos / Preludios Epigramáticos |
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| 2014 |
Reloaded for Butch Morris |
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| 2014 |
Japanese Guitar Music, Vol. 1: Toru Takemitsu: Complete Original Solo Guitar Works / Leo Brouwer: 2 Homages to Toru Takemitsu |
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| 2014 |
Sketches |
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| 2014 |
The Brazilian Guitar |
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| 2015 |
Music for Two Guitars |
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| 2015 |
Guitar Recital |
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| 2016 |
Brouwer: Concierto de Benicàssim / Rodrigo: Concierto de Aranjuez / Martin: Guitare |
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| 2017 |
Guitar Vibes: Music for Guitar and Strings |
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| 2017 |
Poulenc / Brouwer / Ruiz-Pipó / Maderna / Balada / Kučera |
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| 2018 |
Leo Brouwer: The Book of Signs / Paulo Bellinati: Concerto Caboclo |
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| 2018 |
Guitar Recital |
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| 2019 |
Guitar Sonatas |
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| 2020 |
Danzas Rituales y Festivas Vol. 2 / Guitare Sonatas |
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| 2020 |
Thibault Cauvin Plays Leo Brouwer |
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| 2021 |
Canciones |
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| 2022 |
Winner 2021 Guitar Foundation of America (GFA) Competition |
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Música nueva |
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La tradición se rompe... |
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Like Water for Chocolate