Scratchy

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late Middle English: probably a blend of the synonymous dialect words scrat and cratch, both of uncertain origin; compare with Middle Low German kratsen and Old High German krazzōn .

wiktionary

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scratch +‎  -y

etymonline

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scratchy (adj.)

1710, "affected with 'the scratch,'" a skin disease, from scratch (n.1) + -y (2). Meaning "composed of scratches" is from 1827; that of "grating" is from 1866. Of sounds (especially in reproduction) from 1889. Related: Scratchiness.