arpeggios

Since the invention of the sustain pedal, a pianist can freely move up and down the keys with all kinds of broken chords. Book 10 of Franz Liszt's Technische Studien (1868-73) includes a large collection of broken chords, usually with both hands moving simultaneously as shown in following example. 

Liszt technical studies_1868-73 (gesleept).jpg

In April 1923, The Etude Music Magazine published under the title New Lights on the Art of the Piano an interview with pianist-composer Sergei Rachmaninov. This exercise is written down according to the instructions Rachmaninov gave in this interview. 

Anton Reicha (1770-1836) provides in his Etudes ou Exercises pour le Piano-Forté (1803) an interesting exercise in a stepwise chord progression. 

Other interesting piano methods with series of exercises are listed below. More can be found on the platform publications.

Hélène de Montgeroult (1764-1836)

Cours complet pour l'enseignement du forte piano, (vol.1) (composed 1788-1812)

Ignaz Moscheles (1794-1870) & François-Jospeh Fétis (1784-1871)

Méthode des méthodes, Op.98 (1837)