Chinese · Pronunciation Guide
kai with a strong puff of air, held high and flat. Rhymes with "eye", and the aspiration is not optional.
kāi
Nothing moves this pitch. It appears in a lot of two-syllable compounds — kāimén, kāishǐ, kāichē — where its high level pitch serves as a starting plateau that the second syllable moves away from. That makes 开 a useful reference point for calibrating where the top of your range sits.
Listen: 开
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请开门。
Qǐng kāi mén.
Open the door, please.
Listen: 请开门。
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请开门。 keeps qǐng at a full third tone, since kāi is level and no sandhi applies. Then kāi holds high and mén rises. So the sentence goes low, high, higher — a steady climb, which is unusual for Mandarin and gives this polite request a distinctly open, rising feel.
Under-aspirating gives gāi, a different word. Hold a hand in front of your mouth and check you feel the air. The tone is the second concern: level tones tend to taper in English mouths, especially on a diphthong that closes upward, and a tapering kāi reads as a fourth tone. Sustain the pitch and then cut it off.