I couldn't listen to the file because apparently I've reached the limit for free users. But I figured I'd let you know that 訛り means "accent" like "he has a Midwestern accent," not like "the accent on this word is on the first syllable." The word you want is アクセント (I know, not very exotic...). The "Japanese accent" that you don't know is closer to the latter than the former, as the former would refer to a Tokyo accent or an Osakan accent or a Nagoya accent, etc. 例えば、私の英語は訛っていますよ。でも英語のネイテ ィブだから、英語のアクセントを考えずにできます。