Both Prime and Non-Prime members can sign up for a 30-day free trial to try out Amazon Music Unlimited! I absolutely love this service! My music list is now quite long and ever changing vs. justifying purchasing a few songs or one album a month for the same price - any song we want to hear is at our fingertips.
Prices after 30 day trial as follows..
Non-prime members - $9.99 per month; month to month
Prime Members - $7.99/month
Amazon Echo, Dot or Tap owners - $3.99/month
Family Plan - $14.99/month for up to 6 family members for Prime and non-Prime members