specter vs disembodied spirit

specter and disembodied spirit both are nouns.

Word	Noun	Adjective	Verb	Adverb
specter	Yes	No	No	No
disembodied spirit	Yes	No	No	No

As nouns, disembodied spirit is a hypernym of specter; that is, disembodied spirit is a word with a broader meaning than specter:

specter: a ghostly appearing figure
disembodied spirit: any incorporeal supernatural being that can become visible (or audible) to human beings

Other hypernyms of specter include spirit.

specter (noun)	disembodied spirit (noun)
a mental representation of some haunting experience	any incorporeal supernatural being that can become visible (or audible) to human beings
a ghostly appearing figure