What is the aural version of periphery for vision?

What is the aural version of periphery when used in the context of one's vision?

For example:

I can see it in my periphery

...is to...

I can hear it in my _______?

I prefer a more specific word rather than a phrase like corner of my ear, for example.

I guess I'm looking for a word that describes unintentional eavesdropping - hearing something in the background that you're not actively listening to. When I say periphery, I am not referring to the the degree at the which the sound is entering my ear. I'm referring to the distance away from the sound combined with the loudness of the sound. If it's at the outer limits (periphery), I'm barely going to hear it.

Solution 1:

I overheard; it was just above my hearing threshold .

Edit: originally I wrote just above my absolute threshold of hearing but decided that was a bit of a mouthful.

The absolute threshold of hearing (ATH) is the minimum sound level of a pure tone that an average human ear with normal hearing can hear with no other sound present. [...]. The absolute threshold is not a discrete point, and is therefore classed as the point at which a sound elicits a response a specified percentage of the time. This is also known as the auditory threshold. — https://en.m.wikipedia.org/wiki/Absolute_threshold_of_hearing

Solution 2:

You can use "in the background", "vaguely", and "distantly" for this:

I could hear it in the background

I could hear it vaguely

I could hear it distantly

"Background noise" or "background conversation" or "background chatter" are also common.

a more or less steady level of noise

"Background" has become more popular than the other two options, according to this ngram.