Matching Random Seed to the bpm of a song.

Alternatively, you could do one or two animations and use the loopOut() expression with the offset option.

I'm not exactly sure what you want to do but I think you want to set random seed timeliness to true so the random seed value only changes every 1.16 seconds so that you get a random value that changes every 1.16 seconds. The value of the seed change has nothing to do with the random number that will be generated so increasing the seed value by 1 isn't the problem you are trying to solve, What you want to do is add some kind of value to a number every 1.16 seconds. 

Time is a decimal value so time will have to be divided by 1.16 and then rounded. To be completely accurate time should be divided by 70 divided by 2. This is what your expression should look like if you wanted the random value to be something between 0 and 10 and change 70 times a minute.

seed = Math.floor(time / (70/60))
seedRandom(seed, timeless = true)
random(10)

Just as I posted this I am starting to think time*1.16666 totally works already and I was confusing myself by making things more complicated than they are.