I caught this piece the other day on Business Insider - When to Schedule Your Job Interview, that quotes some research from Glassdoor from a few years back which indicates that all things being equal, the optimal time for a candidate to schedule a job interview is 10:30AM on Tuesday.
Even without data to back up that claim, it at least makes intuitive sense to me. Mondays are terrible for everything. Many folks mentally check out by Fridays. That leaves Tuesday - Thursday as options for any kind of important meeting, like a job interview. Let's automatically remove anything after lunch, as you never know how a heavy meal, quick workout, or a couple of shots and a Schlitz are going to have on the interviewer. 
So that leaves Tuesday, Wednesday, and Thursday mornings. Let's rule out Thursday since it is close enough to Friday to catch a little of the 'Is it the weekend yet?' shrapnel. Now we are in a tossup between Tuesday and Wednesday mornings. And since even by only Wednesday, lots of folks might already be thinking 'How can it only be Wednesday, this week is taking forever?', Tuesday seems like a safer choice. As for a time - use the Goldilocks approach - not too early, not too late (and too close to lunch), which lands you at 10:30AM.
As I said, it makes perfect sense, but it also sounded terribly familiar when I read the advice.
I feel like i had heard some variations of the 'Tuesday at 10:30AM' advice before.
As it turns out, it is pretty common scheduling advice for other kinds of work/business events as well. This piece recommends scheduling important presentations for Tuesdays. And this article also strongly suggests a combination of 'Tuesday' and 'late morning', (also known as 'Tuesday at 10:30AM), is an optimal time to conduct any type of negotiations.
If I had more time, and I wasn't staring down the weekend myself, I would do some more searching and I am pretty sure I'd find a bunch more examples of how Tuesday mornings are the best time to do anything important at work. So Tuesdays at 10:30AM it is.
Which is good to know and sort of sad at the same time. We work ALL OF THE TIME. We are chained to our email 24/7 with our 'smart' phones. We are (mostly), evaluated and assessed by our success in the workplace.
And yet there is only one 'good' time each week to do anything important.
Tuesday at 10:30AM.
It's only Friday right now, so you have a couple of days to plan your attack for next week's sliver of time where you can actually do something important.
Don't blow it. It won't come around again for an entire week if you do.
Have a great weekend!