alphabet vs script

alphabet and script both are nouns.

Word	Noun	Adjective	Verb	Adverb
alphabet	Yes	No	No	No
script	Yes	No	Yes	No

As nouns, script is a hypernym of alphabet; that is, script is a word with a broader meaning than alphabet:

alphabet: a character set that includes letters and is used to write a language
script: a particular orthography or writing system

Other hypernyms of alphabet include character set.

alphabet (noun)	script (noun)
the elementary stages of any subject (usually plural)	a written version of a play or other dramatic composition; used in preparing for a performance
a character set that includes letters and is used to write a language	a particular orthography or writing system
	something written by hand

alphabet (verb)	script (verb)
	write a script for