Found this page:

https://www.seattlecoffeegear.com/assets/files/silvia-pid-operation-manual.pdf

Discussing use of pid with silvia. It talks about the meanings of the 
different constants. This section:

*Fine tuning the PID Constants *

The parameters for the PID controller have been optimized for Rancilio 
Silvia

with extensive testing. For most users, there is no need to fine tune the 
machine.

For some machines, the temperature might oscillate 2 degrees occasionally. 
The

recovery time might increase to 3-4 minutes when it is cold. These 
differences

are not critical to most users because it might take that much time to 
prepare the

next shot. As the machine warms up, the performance will improve. A warmed 
up

machine could take less than 40 seconds to recover after pulling a shot. We

found the most noticeable performance differences were between new machines

and some old, poorly maintained machines. This is believed to be due to 
internal

scale build-up in older machines which slows the response time. If you are

technically adept and willing to read through the controller instruction 
manual,

below are some hints that may help you fine tune the controller. Should you 
ever

want to set the controller to its original state, Table 2 lists the default 
settings that

come with the controller.

Could scale cause my symptoms? It could be there is voltage when pid is 
activated but the burst is too short to be read by my cheapo dmm?

I think - before throwing another $120 pid at it I think I'm going to 
try raising 'I', and also open up boiler for a proper descaling.

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