(In American English, they are referred to simply as 32nd and 16th notes.)
The shortest named note is the demisemihemidemisemiquaver, or 256th note hemidemisemiquaver is the name of a 64th note, and demisemiquaver and semiquaver, respectively, denote the two next-shortest notes in British English. Quasi is also seen as the first element in the odd British English term quasihemidemisemiquaver (styled semihemidemisemiquaver in American English), which refers to the extremely short 128th note in music. Two words, one common and the other obscure, are based on quasi: Quasar is a contraction of “quasistellar radio source” (Merriam-Webster hyphenates quasistellar, but for consistency, I’m closing it), and quango is an acronym for “quasi-non-governmental organization” it’s also employed as a prefix in quangocracy and quangocrat. (I had always assumed the name means “half formed.”)
Because, as an infant, the character was abandoned at Notre Dame on Low Sunday, the first Sunday after Easter, he was named after the first words uttered during the Catholic Mass held on that day: “ Quasi modo geniti infants” (“as newborn babes”). The name of Quasimodo, the titular protagonist of The Hunchback of Notre Dame, is related. Quasi may also, on its own, modify a noun, as in “quasi leader” (such constructions are often unnecessarily hyphenated), or even, rarely, a verb. (Words beginning with quasi are often seen hyphenated, but the hyphen is unnecessary.) A quasimilitary organization is one that resembles a military organization but does not function under the authority of a formal government, such as a rebel militia, or does not have a military function, such as the Salvation Army. Something quasihistorical is based on fact but partly or mostly fictitious, such as the tales associated with King Arthur. Quasi often appears in phrasal adjectives as a more formal alternative to “kind of” or “sort of”: A quasinomadic culture, for example, is one that has some but not all characteristics of a purely nomadic society. What, exactly, does the prefix quasi mean, and can it stand on its own? The term, from Latin, is used as a qualifier to denote that something resembles or is like something but is not exactly equivalent, and, yes, quasi is an adverb. Quasi, the Queer Qualifier By Mark Nichol