Greenberg has lectured for some of the most prestigious musical and arts organizations in the United States. He is the resident composer and music historian for National Public Radio's Weekend All Things Considered.
Greenberg has recorded a number of lecture series for The Great Courses on music history and the appreciation of music. He often relates musical topics to other subjects, such as history and politics, as well as to music from other periods. Referring to Greenberg's lively style and sense of humor, the Bangor Daily News has described him as "the Elvis of music history and appreciation."[8]
Child's Play (1988) String quartet #2[7][15][16][17] "...which captures the imaginative and playful energy of his daughter Rachel (then two years old)."[11]
I. Games (fast) 8:06
II. Intermezzo: Dreams of Gold (Sogni d'oro) (slow) 5:35
III. Dances (very fast) 6:51
The Passing Years (1989) five songs for baritone and piano[18]
God gave me
East Broadway
The passing years
Rabbi Elimelech
At my wedding
It Don't Mean a Thing (1990) for percussion sextet "...combines the sounds and style of Japanese Taiko drumming with the rhythmic swing of Duke Ellington."[11][19]
In Shape (1990) concerto in three movements for two pianos and marimba[11][20][21]
Wedge
Labyrinth
Spike
Dude ‘Tudes (1991) for solo piano "...attempts to transfer into sound some of the many moods and activities of his 22-month-old son Samuel."[11][22]
I. Orneriness/Contrary motion
II. Building blocks/Chords 'n' stuff
III. Dreams of play/Trills and tremolos
IV. Dancin' fool/Quarter-minute waltz
V. Angel's hair/Legato
VI. Cruisin' with the dude/Octaves-R-Us.
Iron balconies and lilies (1992) for flute, oboe, clarinet, violin, viola, violoncello, soprano, and piano[23][24]
Prelude: A city by the sea / Anna Margolin
Youth: Hay mowing / Moyshe Kulbak; When Grandma, may she rest in peace, died / Moyshe Kulbak
Love songs: Longing / Rachel Korn; Ancient murdress night / Anna Margolin
Children: If I had the Emperor's might, Lullaby / Traditional Folk song; Toys / Abraham Sutskever
Age: Old age / Jacob Gladstein; Rest / Jacob Isaac segal
On Trial (1994) concerto for solo vibraphone, flute, clarinet, bassoon, piano, violin, viola, and violoncello[25][26]
Among Friends (1995) String quartet #3.[27] Commissioned by the Koussevitzky Foundation[4]
Funny Like a Monkey (2001) for piano quartet (string trio PLUS piano)[28] "...coined by my 15-year-old daughter in order to address ... attempts at humor by both her younger brother and her hopelessly antiquated father."[11]
^Understanding the Fundamentals of Music. Vol. 2. Chantilly, Virginia: The Great Courses. 2007. pp. i. ISBN978-1-59803-287-1.
^"Nicola De Lorenzo Prizes in Music Composition". University of California, Berkeley. Retrieved 2010-11-27.. Although the prize was established in 1958, unfortunately this page only list winners 1997 to 2010.
^"Flyer for Alexander String Quartet concert"(PDF). Archived from the original(PDF) on 2011-07-16. In 2003, the Bangor (Maine) Daily News referred to Greenberg as "the Elvis of music history and appreciation," an appraisal that has given him more pleasure than any other.
^WorldCat: The Passing Years: five songs for baritone and piano (1989?). OCLC57405882.
^WorldCat: It don't mean a thing : an original percussion sextet based on Taiko drumming, 1990. OCLC30127675.
^WorldCat: In shape : concerto in three movements for two pianos and marimba pub 1991. OCLC83133973.
^WorldCat: In shape : concerto in three movements for two pianos and marimba pub 1991. OCLC25155097.
^WorldCat: Dude 'tudes : for piano pub. 1995. OCLC34057194.
^WorldCat: Iron balconies and lilies : for soprano, piano, and chamber ensemble : 1992. OCLC57669926.
^WorldCat: Iron balconies and lilies : for soprano, piano, and chamber ensemble. OCLC28810549.
^WorldCat: On trial : concerto for vibraphone and chamber ensemble. OCLC35892309.
^WorldCat: On trial : concerto for vibraphone and chamber ensemble (1994). OCLC55985134.
^WorldCat: Among friends : string quartet no. 3 (1995). OCLC37836278. For the Serge Koussevitzky Music Foundation in the Library of Congress, and dedicated to the memory of Serge and Natalie Koussevitzky