@Bill, once the strings are stretched, you can tune them without interaction. that takes a day or two. It also depends on how you play. If you play a blues-style with lots of pulls and bends, the strings will go out of tune more rapidly than if you play a classical style.
What you describe is like tuning a guitar when you put in a new set of strings. When you remove the strings, the neck will relax. As you install new strings and tune them, they pull on the neck, each one adding force so you have to go back and re-tune 2-3 times. Then the strings stretch and you have to tune yet again.
Generally, it's best to reomve and replace one string at a time so the neck only relaxes a little.
Remember bandpass filters such as the IF strips in TV sets and the sweeep generators/scope setup needed to align them? Even an AA5 AM radio had multiple back-and-forth retweaks to get the oscillator to match the dial markings and the RF front end to track the oscillator. On a multi-band radio this was a real undertaking.
I once designed a product that had 7 tweaks - per channel. There were 6 channels on the pcb = 42 tweaks altogether. Fortunately they were not interactive. I could tune one up in 20 minutes, the production techs took 2 hours.
As we unveil EE Times’ 2015 Silicon 60 list, journalist & Silicon 60 researcher Peter Clarke hosts a conversation on startups in the electronics industry. Panelists Dan Armbrust (investment firm Silicon Catalyst), Andrew Kau (venture capital firm Walden International), and Stan Boland (successful serial entrepreneur, former CEO of Neul, Icera) join in the live debate.