Particular or special; exceptional — used as a noun/adjectival noun to indicate something distinct or out of the ordinary.
これは格別のおもてなしを受けた経験だった。
This was an experience of especially gracious hospitality.
彼の才能は格別で、多くの人が認めている。
His talent is exceptional, and many people recognize it.
Particularly; especially; exceptionally — used adverbially to single out something as more than usual.
今日は格別寒いので、暖かくして出かけてください。
It's unusually cold today, so please dress warmly when you go out.
彼女の演奏は格別に感動的だった。
Her performance was especially moving.
格別の理由がなければ、明日の会議に出席してください。
Please attend tomorrow's meeting unless there is a special reason not to.