Beginning in the early 1920s, Cowell toured widely in North America and Europe as a pianist, playing his own experimental works, seminal explorations of
atonality, polytonality, polyrhythms, and non-Western
modes. He made such an impression with his tone cluster technique that
Béla Bartók requested his permission to adopt it. Another novel method advanced by Cowell, in pieces such as
Aeolian Harp (ca. 1923), was what he dubbed
"string piano"—rather than using the keys to play, the pianist reaches inside the instrument and plucks, sweeps, and otherwise manipulates the strings directly. Cowell's endeavors with string piano techniques were the primary inspiration for
John Cage's development of the
prepared piano. In early chamber music pieces, such as
Quartet Romantic (1915–17) and
Quartet Euphometric (1916–19), Cowell pioneered a compositional approach he called "rhythm-harmony": "Both quartets are
polyphonic, and each melodic strand has its own rhythm," he explained. "Even the
canon in the first movement of the
Romantic has different note-lengths for each voice."
In 1919, Cowell had begun writing
New Musical Resources, which would finally be published after extensive revision in 1930. Focusing on the variety of innovative
rhythmic and harmonic concepts he used in his compositions (and others that were still entirely speculative), it would have a powerful effect on the American
musical avant-garde for decades after.
Conlon Nancarrow, for instance, would refer to it years later as having "the most influence of anything I've ever read in music."
Cowell's interest in
harmonic rhythm, as discussed in
New Musical Resources, led him in 1930 to commission
Léon Theremin to invent the
Rhythmicon, or Polyrhythmophone, a
transposable keyboard instrument capable of playing notes in periodic rhythms proportional to the
overtone series of a chosen
fundamental pitch. The world's first electronic
rhythm machine, with a photoreceptor-based sound production system proposed by Cowell (not a
theremin-like system, as some sources incorrectly state), it could produce up to sixteen different
rhythmic patterns simultaneously, complete with optional
syncopation. Cowell wrote several original compositions for the instrument, including an orchestrated concerto, and Theremin built two more models. Soon, however, the Rhythmicon would be virtually forgotten, remaining so until the 1960s, when progressive pop music producer
Joe Meek experimented with its rhythmic concept.
Cowell pursued a radical compositional approach through the mid-1930s, with solo piano pieces remaining at the heart of his output—important works from this era include
The Banshee (1925), requiring numerous playing methods such as
pizzicato and longitudinal sweeping and scraping of the strings, and the manic, cluster-filled
Tiger (1930), inspired by
William Blake's famous
poem. Much of Cowell's public reputation continued to be based on his trademark pianistic technique: a critic for the
San Francisco News, writing in 1932, referred to Cowell's "famous 'tone clusters,' probably the most startling and original contribution any American has yet contributed to the field of music." A prolific composer of songs (he would write over 180 during his career), Cowell returned in 1930–31 to
Aeolian Harp, adapting it as the accompaniment to a vocal setting of a poem by his father,
How Old Is Song? He built on his substantial oeuvre of chamber music, with pieces such as the Adagio for Cello and Thunder Stick (1924) that explored unusual instrumentation and others that were even more progressive:
Six Casual Developments (1933), for clarinet and piano, sounds like something
Jimmy Giuffre would compose thirty years later. His
Ostinato Pianissimo (1934) placed him in the vanguard of those writing original scores for percussion ensemble. He created forceful large-ensemble pieces during this period as well, such as the Concerto for Piano and Orchestra (1928)—with its three movements, "Polyharmony," "Tone Cluster," and "Counter Rhythm"—and the Sinfonietta (1928), whose
scherzo Anton Webern conducted in Vienna. In the early 1930s, Cowell began to delve seriously into
aleatoric procedures, creating opportunities for performers to determine primary elements of a score's realization. One of his major chamber pieces, the
Mosaic Quartet (String Quartet No. 3) (1935), is scored as a collection of five movements with no preordained sequence.