Hi there and welcome to the forum! As a starting point, it's better if you can describe your use case rather than a technical requirement. What does this mean? Well, we need to know what kind of music you will be recording, how you will be doing it (i.e. from the crowd? from on/near the stage? using a microphone stand or not?). Since we can only make assumptions about how the microphones will be used, we might not provide the best advice and achasley is spot on in that this is a very broad question, but we can narrow down the answers if we know a little more about how you'll be using a mic.
Ultimately, the connector used between the microphone and recorder (XLR, 3.5mm TRS, etc.) is relatively trivial. What isn't trivial is how the microphone might need to be powered, directionality of the microphone, etc. The recorder is also somewhat trivial and there's no "best" microphone to use with the H4n, although there might be some that work better than others. The microphone is the most important component in the signal chain, so it's better to find a microphone that is perfect for the use case rather than the recorder.