quarter tone
US /ˈkwɔːr.tər ˌtoʊn/
UK /ˈkwɔːr.tər ˌtoʊn/

1.
an interval of a quarter of a tone, half a semitone, or 50 cents, common in some non-Western music.
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Many Middle Eastern musical traditions extensively use quarter tones.
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The microtonal piece featured several intricate passages with quarter tones.