What are 1/32, 1/64, and 1/256 colloquially known as?

Not sure but we can make it up:

If a sixteenth (1/16) is a "teeny" then a 1/32 has to be a 'weeny'

Now the term 'teeny weeny' reminds me of the old song so:

1/64th can be an itsy

1/128th can be a bitsy


 
The fractions are simply the minimal tick size - stocks used to be traded the same way before decimalization began in 2001.

1 point = $,1000
Ticks per point = 1 point/decimal tick size

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