David Letterman holding ‘High Violet’ by The National.

David Letterman holding ‘High Violet’ by The National.

David Letterman holding ‘Dynamics’ by Holy Ghost.

David Letterman holding ‘Dynamics’ by Holy Ghost.

David Letterman holding ‘Given To The Wild’ by The Maccabees.

David Letterman holding ‘Given To The Wild’ by The Maccabees.

David Letterman holding ‘A Thing Called Divine Fits’ by Divine Fits.

David Letterman holding ‘A Thing Called Divine Fits’ by Divine Fits.

David Letterman holding ‘Banga’ by Patti Smith.

David Letterman holding ‘Banga’ by Patti Smith.

David Letterman holding ‘The Wild Youth EP’ by Daughter.

David Letterman holding ‘The Wild Youth EP’ by Daughter.

David Letterman holding ‘All Of Me’ by Estelle.

David Letterman holding ‘All Of Me’ by Estelle.

David Letterman holding ‘How Do You Do’ by Mayer Hawthorne.

David Letterman holding ‘How Do You Do’ by Mayer Hawthorne.

David Letterman holding ‘Boys & Girls’ by Alabama Shakes.

David Letterman holding ‘Boys & Girls’ by Alabama Shakes.

David Letterman holding ‘What We Saw From The Cheap Seats’ by Regina Spektor.

David Letterman holding ‘What We Saw From The Cheap Seats’ by Regina Spektor.