The clarity or audibility of a sound; how well something can be heard (e.g. radio reception or someone's voice).
この部屋は外の音の聞こえがいい。
You can hear outside noises well in this room.
マイクの聞こえが悪いので、音量を上げてください。
The microphone's audibility is poor, so please increase the volume.
ここだとラジオの聞こえが良くないから、場所を変えよう。
The radio doesn't come through well here, so let's move to another spot.
Reputation or hearsay; how something or someone is talked about or rumored (also used for reported information).
聞こえによると、彼は会社を辞めるらしい。
According to what I've heard, he is going to quit the company.
彼は聞こえがいいのでお客さんが集まる。
He has a good reputation, so customers gather.
あの店は聞こえが悪くて、あまり評判が良くない。
That shop has a bad reputation and isn't very well regarded.
The impression or respectability something gives (how it appears to others; concern for appearances or reputation).
親戚の前では聞こえを気にして振る舞った。
In front of relatives I behaved while worrying about appearances.
聞こえのために嘘をつくのはよくない。
It's not good to lie just for appearances' sake.
In linguistics/phonetics, 'sonority'—the relative loudness or prominence of sounds (how sonorous a segment is).
音声学では母音の聞こえが子音より高いとされることが多い。
In phonetics vowels are often considered to have higher sonority than consonants.