Color management and color science is a field of study riddled with complexity and variables.
I’ve studied color science under a lead color scientist at Canon USA in NYC. And even with considerable knowledge in the subject it’s different to verbalize a definitive solution.
To start, use you’ll want to design the logo for print applications. Designing it as a web graphic or using web/RGB colors will only result in disaster down the road when the time comes to print.
Take your Pantone swatch book and put it aside. If I were to be having this conversation many years ago, i might have told you that book would be the key maintaining color consistency. However, in order for a pantone color to be printed correctly, it must be ran on a 1 or 2 color press using the specific ink called for in the PMS.
Or, a 5 or 6 color press running CMYK and your designated PMS. And, lets’s face it, most smaller clients haven’t the funds to print their small volume print requests using these methods.
Now, CMYK print equipment, whether it’s offset or digital, will also vary from one press to the next, and even on the same press from one run to the next. Find a good, local printer, that you can trust. I have several clients in which I charge them a marginal, additional cost to match their color. I take the time, and have pride in the work I do. Find a printer who does the same.
Now, for a little bit on choosing color. CMYK colors consisting of a simple build (colors consisting of 2 out of the 4 CMYK inks, and have a clear dominant color) will print more consistently across multiple platforms and from one machine to the next. Clean up your swatches and selections. If you have 3% Cyan in a color selection, and notice little to no change with it removed, remove it. If there’s nothing present for a print device to over-saturate (say that irrelevant 3% of cyan) there’s less chance of a color to ‘walk’.
Colors to avoid would rich grays, browns, or any color involving the use of all colors with no dominate color in place. These colors will be all over the place. Not only from one run to the next, but perhaps even within a single run. they are a nightmare to print.