[logn]

For the artists and people who do use the GR, myself included, I use it out of convenience when any arbitrary decision will do. It's just an easy way to count exponentially.

For instance, I recently wanted to compute a moving average of recent events. I chose to use Fibonacci (i.e., last 3 days, last 5 days, last 8 etc), but my choice had nothing to do with any belief on my part that it has any deep significance. I just wanted a moving average and wanted decreased granularity as events got further out. I use powers of 2 as well. For instance on server retries after a failed request.

I suspect if the GR is used a lot in art it's done for motivations similar to mine: when we're presented with deciding on something arbitrary we can easily limit our choices and simplify decisions by using an established counting method.

Do you think Shakespeare's poems (iambic pentameter) would be any less beautiful if he decided to go for 12 syllables instead? Would we not like music as much if it were written in 6/4 instead of 4/4? There are limitless choices so we fall back on established conventions simply because any choice will do.