Beside the altar of the storefront church on Fillmore Street stand an electric piano, two basses, a drum kit and three microphones. The hymnal, such as it is, consists of a music book, open to a piece titled “Blues For Bechet.” And on the side wall hangs an icon of the congregation’s patron saint, a golden corona circling his head, as he holds a tenor saxophone with flames in its bell.

This being a house of jazz as well as of God, the Sunday morning service starts on Sunday afternoon, early rising for any musician who played three sets on Saturday night. As the worshipers trickle in, whether regulars from the neighborhood or pilgrims from abroad, a call comes from behind the rear wall: “Let the procession be formed.” Then the ministers and deacons and acolytes stride into view, led by a rangy man with a tenor sax dangling from a strap around his clerical collar.

He is Archbishop Franzo Wayne King, founder and pastor of this faith community, the St. John Will-I-Am Coltrane African Orthodox Church. For the next three hours, the service proceeds with an aesthetic that is half jam session and half revival meeting. A traditional Christian liturgy — including the Lord’s Prayer and readings from a Gospel and an Epistle — takes places amid a series of intense, almost incantatory performances of Coltrane compositions.

“The kind of music you listen to is the person you become,” Mr. King says in his sermon. “When you listen to John Coltrane , you become a disciple of the anointed of God.” In the third row, Mikkel Holst understands. He has traveled from Copenhagen to San Francisco in no small part for this church. “It must be one of the best jazz experiences of my life,” Mr. Holst says after the service. “The funniest thing about it is, I’m not religious.