The FF XIII chocobo theme sounds to me that it pauses at moments where the older themes would have kept flowing - it makes it sound a bit disjointed to me. The chocobo theme being a jazz song reminds me of Cowboy Bebop and Final Fantasy X-2. The drum solo does feel out of place as it doesn't go to the beat of the chocobo theme which would not have been bad if it did.
The "Light" song reminds me of Unlimited Saga - as the battle theme and another song, I think "Assault" do as well. "Light" sounds very soothing or calm with a bit of sadness maybe. Overall I like it.
The beginning of "Resistance" reminds me of a few songs in Final Fantasy X. The later part of the song really changes the mood of the song from a ghost feeling to an inspirational hope is here feeling. "Resistance" is ok.
As for "Valiant" it sounds... valiantly - a nice piece of music.
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