Having the timbre of a loud high-pitched sound WordNet 3.0 & Open English WordNet

Shrillness is a word used to describe the quality of sounds that have a high-pitched, strident, raucous, screeching or harsh character, such as those produced by a trumpet or piccolo, but it can also be used to describe a widely recognised and puzzling phenomenon whereby certain sounds are perceived as psychologically painful or aversive to a degree that cannot be accounted for simply in terms of frequency content or loudness. Wikipedia

annoying high-pitched, strident, raucous, screeching or harsh sound Wikidata

The quality of being strident. Wiktionary

Quality of being strident. Wiktionary (translation)