ふ - what the ふ。。。?!

Most of the い mora are palatalised (kinda adding a y sound) so you can kind of think of ち as tyi, し as syi, and ちょ as tyo.
ティ cancels the palatisation to get ti.

(I made this thing which covers the sounds in Japanese pretty comprehensively, so if you can parse the jargon, then you might find it useful).

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