| 1978 |
Cansós de Trobairitz |
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| 1979 |
Libre vermell de Montserrat |
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| 1983 |
Les Nations |
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| 1986 |
Les Apothéoses |
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| 1987 |
Ensaladas |
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| 1987 |
Mvsicqve de Ioye |
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| 1988 |
Lachrimæ or Seaven Teares: 1604 |
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| 1989 |
Canzoni da Sonare |
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| 1989 |
Canciones y danzas de España |
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| 1989 |
Canzoni da Sonare |
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| 1990 |
Hamburger Ratsmusik um 1600 |
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| 1991 |
Poeticall Musicke |
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| 1991 |
Romances & Villancicos |
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| 1991 |
El Cancionero de Palacio (1474-1516) |
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| 1991 |
Music from Christian & Jewish Spain 1450-1550 |
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| 1991 |
Consort Music for Viols in Six Parts |
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| 1992 |
El Cancionero de Medinaceli 1535-1595 |
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| 1992 |
Cantica Beatae Virginis |
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| 1992 |
Sacrae Cantiones |
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| 1992 |
Sonate da camera e Sinfonie |
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| 1992 |
El Cancionero de la Colombina (1451-1506) |
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| 1993 |
Cantigas de Santa Maria |
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| 1994 |
Consort of Fower Parts |
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| 1995 |
Fantasias for the Viols, 1680 |
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| 1996 |
Vier Suiten aus der Sammlung "Erster Fleiß" |
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| 1996 |
Vox Aeterna |
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| 1997 |
Portraits / Banchetto Musicale |
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| 1997 |
The Spirit of the Gambo: English consort and solo viol music |
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| 1997 |
Ludi Musici (Hamburg 1621) |
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| 1997 |
Moyen Âge & Renaissance |
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| 1998 |
Elizabethan Consort Music: 1558-1603 |
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| 1998 |
Batalles, Tientos & Passacalles |
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| 1999 |
Diáspora sefardí: Romances & Música instrumental |
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| 1999 |
XXIII Fantasies |
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| 2000 |
Carlos V - Mille Regretz: La Canción del Emperador / La Capella Reial de catalunya Hespèrion XXI |
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| 2000 |
The teares of the Muses 1599 (Elizabethan Consort Music vol. II) |
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| 2000 |
El barroco español |
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| 2000 |
Canzoni da Sonare |
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| 2000 |
Ludi Musici (Prima Pars) |
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| 2000 |
Lawdes Deo |
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| 2000 |
Viva Rey Ferrando |
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| 2000 |
Battaglie & Lamenti: 1600-1660 |
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| 2001 |
Die Kunst der Fuge |
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| 2001 |
Ostinato |
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| 2002 |
Consort Sets in Five & Six Parts |
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| 2003 |
Entremeses del Siglo de Oro |
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| 2003 |
Villancicos y Danzas Criollas de la Iberia Antigua al Nuevo Mundo 1550–1750 |
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| 2004 |
Dinastia Borgia: Chiesa e potere nel Rinascimento |
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| 2004 |
Isabel I, Reina de Castilla |
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| 2005 |
Don Quijote de la Mancha: Romances y músicas |
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| 2005 |
Altre Follie 1500–1750 |
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| 2006 |
Christophorus Columbus – Paraísos Perdidos |
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| 2006 |
Orient-Occident 1200-1700 |
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| 2007 |
Consort Music to the Viols in 4, 5 & 6 Parts |
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| 2007 |
Lachrimæ Caravaggio |
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| 2007 |
Ludi Musici |
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| 2007 |
Francisco Javier: La Ruta de Oriente |
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| 2008 |
Invocation à la nuit |
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| 2008 |
Estampies & danses royales |
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| 2008 |
Jérusalem, la Ville des deux Paix : La Paix céleste et la Paix terrestre |
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| 2009 |
Istanbul: Le Livre de la Science de la Musique |
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| 2010 |
El nuevo mundo: folías criollas |
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| 2011 |
Hispania & Japan Dialogues |
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| 2011 |
La Sublime Porte. Voix d’Istanbul · 1430 – 1750 |
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| 2011 |
Mare Nostrum |
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| 2012 |
Pro Pacem - Textes, Art & Musiques pour la Paix |
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| 2012 |
Jeanne d'Arc: Batailles & Prisons |
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| 2012 |
Esprit d’Arménie |
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| 2013 |
Orient - Occident II: Hommage à la Syrie |
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| 2013 |
Esprit des Balkans / Balkan Spirit |
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| 2013 |
Bal·Kan: Miel & Sang |
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| 2015 |
Baroque Splendor: Missa Salisburgensis |
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| 2016 |
Battaglie e lamenti (Schlacht und Klage) |
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| 2016 |
Granada 1013–1526 |
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| 2016 |
Ramon Llull: Temps de conquestes, de diàleg i desconhort |
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| 2017 |
Nell tempo di Lorenzo de’ Medici & Maximilian I, 1450 – 1519 |
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| 2018 |
Venezia Millenaria 700-1797 |
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| 2018 |
Bailar Cantando: Fiesta mestiza en el Perú, Codex Trujillo 1788 |
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| 2019 |
Ibn Battuta: Le Voyageur d l'Islam (The Traveler of Islam), 1304-1377 |
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| 2020 |
German Baroque / Deutches Barock - Hammerschmidt to Telemann |
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| 2022 |
Cancioneros del Siglo de Oro : Colombina • Palacio • Medinaceli : 1451-1595 |
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| 2022 |
Codex Las Huelgas: Bestiaire et Symboles du Divin, 1300-1340 |
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| 2024 |
Mirrors of Time: Tribute Reflections |
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Music for the Spanish Kings |
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España antigua |
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