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Oh this is a tough one.
Bach would probably top the list for his ethereal use of counterpoint and sublime harmony.. Counterpoint has always been a deep fascination for me.
Beethoven would probably be a close second - again for his use of counterpoint and harmony.
Stravinsky would be near the top as well. He has composed several of my favorite works but the options are far fewer than the 2 B's.
Though, for only 1 composer I would have to say Bach, no, wait - Beethoven. Bach.....Beethoven....Bach.......
Hendrix - ok stop it. Only classical music.
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Bach's the obvious answer, but the only correct answer is Barrios.
There's something about Barrios' music that deeply moves me. Who wouldn't when you listen to pieces like La Catedral, his Vals', Julia Florida, preludes.
Heitor Villa Lobos is another obvious favorite of mine. Where would we all be without him?
For non-guitar composers, I love Chopin.
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Mario Castelnuovo-Tedesco! And not only his guitarmusic....
I am a big fan of his work because it is always very melodic, elegant and very well composed on the level of how he creates his musical ideas and how he then uses them to develop a piece.
For instance: Capricho de Goya #1: that whole piece is based on just the opening theme, which has two ideas in it, the "Fransico Goya" melody (a stately opening idea) and the "Lucientes" coloratura (a fast 16th note idea). Based on just that he writes a lovely prelude and fugue.