The extreme upper limit of human hearing is around 20khz, so cats really are hearing things that we don't, and for good reasons.
Sensitivity to different frequency ranges is more or less independent of anything else. Birds have heightened frequency response in the range they vocalize in, which helps them hear others if their species. Same for us; we vocalize at relatively low frequencies, so most of our hearing ability is focused on that range. There is also a range below which we don't hear: infrasound, which is utilized by elephants.
Logarithmic perception is certainly real, but the tuning of which frequency ranges an animal is more or less sensitive to is certainly species dependent.
Sensitivity to different frequency ranges is more or less independent of anything else. Birds have heightened frequency response in the range they vocalize in, which helps them hear others if their species. Same for us; we vocalize at relatively low frequencies, so most of our hearing ability is focused on that range. There is also a range below which we don't hear: infrasound, which is utilized by elephants.
Logarithmic perception is certainly real, but the tuning of which frequency ranges an animal is more or less sensitive to is certainly species dependent.