Is May the most famous month in Gaelic?

I was thinking today about months in Gaelic, which I admit I sometimes still struggle to remember except for May, An Cèitean. And so at least for spring and summer months May is my reference point. And I began to wonder about why it was that May sticks in my mind so well. And I began to sing and just off the top of my head I came up with three songs that have Cèitean in the first verse. 
Then came the ceist to my mind, I wonder if that is why May was chosen for Mìos na Gàidhlig?
Here are the ones I could think of. Do you know any more? If so share them in the comments