| 1998 |
Symphonies nos. 1 and 3 |
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| 1999 |
Mayday Spell Suite / Double Bass Concerto / Three Greek Dances |
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| 1999 |
Symphony no. 2 / The Tempest Suite no. 1 |
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| 1999 |
Dettifoss and Other Orchestral Works |
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| 1999 |
The Maiden and Death, Ballet Suite / Piano Concerto no. 1 / Ouvertüre Concertante |
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| 1999 |
Hekla and Other Orchestral Works |
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| 2000 |
Symphonies nos. 4 and 5 |
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| 2000 |
Hafís and Other Works for Voices and Orchestra |
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| 2000 |
Symphonies nos. 6 and 7 / “The Tempest” Suite no. 2 |
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| 2001 |
Beethoven 9. |
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| 2002 |
Tone Poems |
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| 2002 |
Baldr |
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| 2003 |
Symphonies no. 1 & no. 2 |
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| 2003 |
Norwegian Classical Favorites |
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| 2004 |
Norwegian Classical Favorites, Volume 2 |
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| 2004 |
Víkingasvar |
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| 2005 |
Symphony no. 4 "From the Outermost Skerries" |
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| 2005 |
The Sea / Four Images / Cretan Feast / Greek Dance in C minor |
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| 2006 |
Santiago de Espada, Our Man in Havana Suite, Concerto Grosso & Sinfonietta |
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| 2007 |
Mass in B minor |
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| 2007 |
Orchestral Works, Vol. 2 |
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| 2007 |
Edda, Part I: The Creation of the World |
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| 2008 |
Orchestral Works 1: Jour d'été à la montagne / La Forêt enchantée / Souvenirs |
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| 2009 |
Orchestral Works 2: Symphony no. 2 / Tableaux de voyage / Karadec |
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| 2009 |
Concerti / Concertini |
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| 2010 |
Orchestral Works 3: Symphony no. 2 / Choral varié / Istar / Diptyque méditerranéen |
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| 2011 |
Sigurður Guðmundsson & Sigríður Thorlacius ásamt Sinfóníuhljómveit Íslands |
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| 2011 |
Orchestral Works 4: Symphonie italienne / Poème des rivages |
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| 2013 |
Orchestral Works 5: Symphonie sur un chant montagnard français / Saugefleurie / Médée / Prelude to "Fervaal" |
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| 2013 |
EVE Symphony |
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| 2015 |
Fiðlukonsertar |
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| 2015 |
Orchestral Works 6: Wallenstein / Sérénade et Valse / Lied / Suite dans le style ancien / Prelude to Act III of "Fervaal" |
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| 2016 |
Choralis / Orchestral Works |
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| 2017 |
Recurrence |
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| 2018 |
Sinfonietta / Serenade for Strings / Symphony no. 3 / Divertimento |
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| 2019 |
Symphonies |
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| 2019 |
Edda II: Lives of The Gods |
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| 2019 |
Concurrence |
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| 2021 |
Occurrence |
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| 2022 |
Atmospheriques Vol. I |
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| 2022 |
ARCHORA / AIŌN |
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| 2023 |
Icelandic Works for the Stage |
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| 2024 |
Orchestral Works |
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| 2026 |
The Grotesque & The Sublime |
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| 2026 |
Complete Symphonies |
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Lambda |
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Skálmöld & Sinfóníuhljómsveit Íslands
A Night at the Symphony