What is a word for a process that repeats at a consistent interval?

What is a word for a process that repeats at some consistent interval or cadence? For example,

We run the user testing _____ every week on Mondays.

Solution 1:

A process which repeats at set intervals is said to be regular.

regular adj

Arranged in or constituting a constant or definite pattern, especially with the same space between individual instances.

– Lexico

In your sentence, an adverb (modifying run) is appropriate:

We run the user testing regularly every week on Mondays.

However, you don't need both regularly and every week on Mondays because they each imply the same thing. "Regularly on Mondays" implies a weekly interval; "every week on Mondays" implies regularity. Because "user testing" is a noun phrase, you can omit the word you want entirely.

A better way of saying "every week on Mondays" might be simply "every Monday".

I don't believe there is a word which denotes an event which happens regularly. A session need not be regular. Even a round need not be conducted regularly — round suggests that a set series of tests is conducted, but not necessarily that those tests are done at particular intervals. A TV show might run as a serial in weekly episodes, or it might be an "occasional series" with no regular timeslot in the schedules.

In this case, English is flexible in allowing a word like regular to describe any number of different types of event.

Even if there was such a word, (let's say it's flurble for the sake of argument), the word implies regularity, so my comments about "every week on Mondays" apply:

• We run the user testing flurble on Mondays — implies weekly regularity
• We run the user testing flurble weekly — specifies the regular frequency but not exactly when
• We run the user testing flurble every Monday — "every Monday" specifies the interval and even the day, so saying it's a flurble isn't needed at all.

I would use

We run the user testing every Monday.

That sentence says what you do and how often it's done.

Solution 2:

We run the user testing _____ every week on Mondays.

in that sentence, you do not need an adverb: "every week [on Mondays]" is an adverbial phrase indicating regular intervals.

We run the user testing continually. = at regular intervals.

Merriam-Webster continual: recurring in steady usually rapid succession "[The city had] a history of continual invasions."

(As opposed to "continuously" = constantly and without interruption: Merrian-Webster: continuous - marked by uninterrupted extension in space, time, or sequence. The batteries provide enough power for up to five hours of continuous use.)