I’m quite happy with the formula I found to tune a 1-pole/no-zero digital low-pass filter in the form y ← y + c * (x - y).
https://www.desmos.com/calculator/6bf88f2b35
It can set the cutoff frequency way above Nyquist and matches well the passband response of an ideal continuous-time equivalent filter (black curve). It is slightly shelf-shaped when the cutoff is close to Nyquist, but that’s the limitation of the lack of zero.
It’s a good way to tune the damping filter of a #reverb!
The formula remains fast to compute (a square root and a few mul/add). See Coefficient calculation > c5() and c3().