It’s not common that a gifted songwriter is also an excellent interpreter of other’s songs. Sure, many of our great songwriters will occasionally record cover versions and quite well, but few do it on a consistently wide-ranging basis and do it with few peers.

Rosanne Cash does that, perhaps as well or better than anybody. At the Infinity Music Hall in Norfolk, Connecticut Tuesday night, Cash mixed songs from Black Cadillac, an album dedicated to her late father Johnny Cash, and a few requests with songs from her upcoming album The List, which will consist of some of the pillars of the great American country songbook.

As Rosanne tells it they come from a list her father gave her. When she graduated from high school in 1973, she went on tour with Johnny Cash, and when he asked her if she was familiar with a particular country song and she said no, he asked about another. When she couldn’t identify three he named, he said that’s it and made a list of 100 country songs for her to learn as her musical education.

After the heart-wrenching, dark Black Cadillac, she felt this would be the best project for her.

With John Leventhal, longtime producer and her husband since 1993 on guitar, Cash played for about 90 minutes and displayed her unique take on country, folk and contemporary music. A compelling vocalist, Cash does not sound as country as many others in the genre, but her voice always suits her material, whether it’s her own or someone else’s.

She opened with I’m Movin’ On, the Hank Snow classic, giving it a lightly rocking, soulful reading, then moved on to John Stuart’s Runaway Train, which she recorded for King’s Record Shop in 1987.

Then came the first two of seven tunes from Black Cadillac, the title track and and Radio Operator about her father stationed in Germany and her mother, the girl in San Antone. I swear it may have been the gigantic fan overhead on the Infinity’s high ceiling but during Black Cadillac I felt chills from my head down to my fingertips. I believe it was the interpretation.

Three from The List followed: the wondrous Sea Of Heartbreak, on which she sings a duet with Bruce Springsteen on the album; a Carter family tune, Bury Me Under The Weeping Willow; and the haunting Long Black Veil by Lefty Frizzell. The third, another spine-tingler, is in a style — dark, brooding and mysterious — that Cash conveys so well.

After three more from Black Cadillac, including a request, House On The Lake, Cash gave a gritty and incisive reading to Motherless Children, a traditional that has been recorded by everyone from Delta blues men to Eric Clapton, she said. Then, Tennessee Flatop, again from King’s Record Shop.

It must be pointed out Leventhal is the perfect foil for Cash on stage. His playing is immaculate — despite a few missteps, particularly on Flatop that he admitted — as he creates a rich sound landscape with just his guitar and manages to take proficient solo flights without disrupting the groove. Cash joins him on second guitar on a few tunes in the set.

She also chides and kids with him throughout, particularly about his age, although his gray hair makes him look perhaps a little older than he actually is. It’s a wonderful rapport and fun to watch. She also has a wonderful rapport with her audience, who were hyper-enthusiastic throughout the performance.

In addition, as other performers have said, she was startled and extremely pleased with the venue, which she said has outstanding acoustics, a beautiful setting and rare intimacy. “Who knew?” Cash said as she came on stage.

The rest of the set included the dark and slightly humorous Burn Down This Town and God Is In The Roses, both from Black Cadillac, Jimmie Rodgers’ Miss The Mississippi And You, Big River and the closer Seven-Year Ache, which evoked a standing ovation. She came back for another moving rendition with a completely enveloping version of Ode To Bille Joe, during which the listener experiences feelings of fear and remorse that feel genuine. A reading as sensitive as Cash’s will do that to you. She finished with 500 Miles From My Home.

Another amazing night at the Infinity. Not sure how they manage to book such high level talent in such a small venue but it’s certainly to our benefit here in Connecticut.