key (n.1) Look up key at Dictionary.com
"instrument for opening locks," Middle English keie, from Old English cæg "metal piece that works a lock, key" literal and figurative ("solution, explanation, one who or that which opens the way or explains"), a word of unknown origin, abnormal evolution, and no sure cognates other than Old Frisian kei.

Perhaps it is related to Middle Low German keie "lance, spear" on notion of "tool to cleave with," from Proto-Germanic *ki- "to cleave, split" (cognates: German Keil "wedge," Gothic us-kijans "come forth," said of seed sprouts, keinan "to germinate"). But Liberman writes, "The original meaning of *kaig-jo- was presumably '*pin with a twisted end.' Words with the root *kai- followed by a consonant meaning 'crooked, bent; twisted' are common only in the North Germanic languages." Compare also Sanskrit kuncika- "key," from kunc- "make crooked."

Modern pronunciation is a northern variant predominating from c. 1700; earlier and in Middle English it often was pronounced "kay." Meaning "that which holds together other parts" is from 1520s. Meaning "explanation of a solution" (to a set problem, code, etc.) is from c.1600.

The musical sense originally was "tone, note" (mid-15c.). In music theory, the sense developed 17c. to "sum of the melodic and harmonic relationships in the tones of a scale," also "melodic and harmonic relationships centering on a given tone." Probably this is based on a translation of Latin clavis "key," used by Guido for "lowest tone of a scale," or French clef (see clef; also see keynote). Sense of "mechanism on a musical instrument operated by the player's fingers" is from c. 1500, probably also suggested by uses of clavis. OED says this use "appears to be confined to Eng[lish]." First of organs and pianos, by 1765 of wind instruments; transferred to telegraphy by 1837 and later to typewriters (1876).
key (n.2) Look up key at Dictionary.com
"low island," 1690s, from Spanish cayo "shoal, reef," from Taino cayo "small island;" spelling influenced by Middle English key "wharf" (c. 1300; mid-13c. in place names), from Old French kai "sand bank" (see quay).
key (adj.) Look up key at Dictionary.com
"crucially important," 1913, from key (n.1). Perhaps from or reinforced by key move, in chess, "first move in a solution to a set problem" (1827), which to an experienced player opens the way to see how the solution will develop.
key (v.) Look up key at Dictionary.com
mid-14c., "fasten with a wedge or key" (implied in keyed), from key (n.1). From 1630s as "regulate the pitch of a musical instrument by means of a key," also in the figurative sense "give a tone or intensity to." From 1963 as "do data entry or other work on a keyboard." Meaning "to scratch (a car's paint job) with a metal key" is recorded by 1986. Related: Keyed; keying.