I wish I knew what a 9 bit byte means.
One fun fact I found the other day: ASCII is 7 bits, but when it was used with punch cards there was an 8th bit to make sure you didn't punch the wrong number of holes. https://rabbit.eng.miami.edu/info/ascii.html
A 9-bit byte is found on 36-bit machines in quarter-word mode.
Parity is for paper tape, not punched cards. Paper tape parity was never standardized. Nor was parity for 8-bit ASCII communications. Which is why there were devices with settings for EVEN, ODD, ZERO, and ONE for the 8th bit.
Punched cards have their very own encodings, only of historical interest.
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