Multi-core acoustic panel for an aircraft propulsion system

An apparatus for an aircraft propulsion system, comprising:

• an inner barrel including a multi-degree of freedom acoustic panel and a mount;
• the multi-degree of freedom acoustic panel including a back skin, a first cellular core and a second cellular core that axially and circumferentially overlaps the first cellular core;
• a first section of the back skin connected to and contacting the first cellular core, and a second section of the back skin connected to and contacting the second cellular core;
• the first cellular core comprising a plurality of first core chambers, and a first of the plurality of first core chambers configured with a first chamber sectional geometry in a first chamber reference plane;
• the second cellular core comprising a plurality of second core chambers, a first of the plurality of second core chambers configured with a second chamber sectional geometry in a second chamber reference plane that is parallel with the first chamber reference plane, and the second chamber sectional geometry different than the first chamber sectional geometry;
• and
• the mount attached to the back skin.