different between strangely vs peculiarly

English

strange +? -ly

strangely (comparative more strangely, superlative most strangely)

In a strange or coincidental manner.
(archaic) Surprisingly, wonderfully.
- 1610, The Tempest, by Shakespeare, act 4 scene 1
  [...] all thy vexations / Were but my trials of thy love, and thou / Hast strangely stood the test [...]

peculiar +? -ly

peculiarly (comparative more peculiarly, superlative most peculiarly)

Such as to be greater than usual; particularly; exceptionally.
1. (degree) To greater degree than is usual.
2. (manner) In a manner that is greater than usual.
Such as to be strange or odd.
1. (degree) Strangely, oddly.
2. (manner) In a strange or perverse manner; strangely.
3. (evaluative) Such as to be strange or odd.
4. (act-related) Acting in strange or perverse way.
Strongly associated with.
1. (degree, of a place or circumstance) Mostly or solely associated with.

(in a manner that is greater than usual): in particular, specifically; see also Thesaurus:specifically
(in a strange or perverse manner): oddly, queerly; see also Thesaurus:strangely

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