Alp, some basics not already covered:
1. A Dolby Digital soundtrack is required on DVD-Videos by terms of the license. It can contain from 1 thru 6 channels.
2. DTS is about the same as Dolby Digital 5.1 (= 6 channels) but the sound data are compressed much less, and generally it will sound better than the DD track. Understand that the DTS track is mastered differently, so that's another reason it sounds different. Also, DTS tracks are always 5.1; they simply don't do anything less (that I've seen).
3. The master recordings are done, usually, at CD rates, that is 44.1KHz and 16 bits, so all of this can't ever sound better than what one gets from a CD.
4. DTS soundtracks appear on lots of DVD-Vs; you just have to look for them. I have an Excel spreadsheet of my about-400 DVDs that identifies those with DTS soundtracks (about 50). I'll sort it by that field and send it to you if you'll e-mail me at jeffreybehr(at)cox(dot)net.
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