Scientists tell us that babies cries are very intentionally hard to ignore because if a baby cries, it needs attention of one kind or another! How about a lullaby? As a mother and a professional musician, I believe that singing, humming, or playing a recording of a lullaby, especially if it is familiar, can calm, soother and comfort a baby. Of course combining that with rocking, holding or snuggling the baby will also help.
If you played these lullabies for your baby during pregnancy, baby doesn recognize this music and often calms down very quickly. To see my lullabies and either get the download immediately or order the CD, go to fussy_babies.