Year 1824 (MDCCCXXIV) was a leap year starting on Thursday (link will display the full calendar) of the Gregorian Calendar and a leap year starting on Tuesday of the 12-day slower Julian calendar.

Ludwig van Beethoven (ⁱ/ˈlʊdvɪɡ væn ˈbeɪt.hoʊvən/; German pronunciation: [ˈluːtvɪç fan ˈbeːt.hoːfən] ( listen); baptized 17 December 1770 – 26 March 1827) was a German composer and pianist. A crucial figure in the transition between the Classical and Romantic eras in Western art music, he remains one of the most famous and influential of all composers.

Born in Bonn, then the capital of the Electorate of Cologne and part of the Holy Roman Empire, Beethoven moved to Vienna in his early 20s, studying with Joseph Haydn and quickly gaining a reputation as a virtuoso pianist. His hearing began to deteriorate in his late twenties, yet he continued to compose, conduct, and perform, even after becoming completely deaf.

Beethoven was the grandson of a musician of Flemish origin named Lodewijk van Beethoven (1712–73) who moved at the age of twenty to Bonn. Lodewijk (Ludwig is the German cognate of Dutch Lodewijk) was employed as a bass singer at the court of the Elector of Cologne, eventually rising to become Kapellmeister (music director). Lodewijk had one son, Johann (1740–1792), who worked as a tenor in the same musical establishment, and gave lessons on piano and violin to supplement his income. Johann married Maria Magdalena Keverich in 1767; she was the daughter of Johann Heinrich Keverich, who had been the head chef at the court of the Archbishopric of Trier.

Christian Johann Heinrich Heine (13 December 1797 – 17 February 1856) was one of the most significant German poets of the 19th century. He was also a journalist, essayist, and literary critic. He is best known outside Germany for his early lyric poetry, which was set to music in the form of Lieder (art songs) by composers such as Robert Schumann and Franz Schubert. Heine's later verse and prose is distinguished by its satirical wit and irony. His radical political views led to many of his works being banned by German authorities. Heine spent the last 25 years of his life as an expatriate in Paris.

Heine was born in Düsseldorf, Rhineland, into a Jewish family. He was called "Harry" as a child, but became "Heinrich" after his conversion to Christianity in 1825. Heine's father, Samson Heine (1764–1828), was a textile merchant. His mother Peira (known as "Betty"), née van Geldern (1771–1859), was the daughter of a physician. Heinrich was the eldest of the four children; his siblings were Charlotte, Gustav - who later became Baron Heine-Geldern and publisher of the Viennese newspaper Das Fremdenblatt - and Maximilian, later a physician in Saint Petersburg.

Agustín Cosme Damián de Iturbide y Aramburu (27 September 1783 – 19 July 1824), also known as Augustine I of Mexico, was a Mexican army general who built a successful political and military coalition that was able to march into Mexico City on 27 September 1821, decisively ending the Mexican War of Independence. After the liberation of Mexico was secured, he was proclaimed President of the Regency in 1821 and Constitutional Emperor of the new nation, reigning as Emperor briefly from 19 May 1822 to 19 March 1823, and he is credited as the original designer of the first Mexican flag.

Although Iturbide's reign was short, it defined the political struggles before and after independence that Mexico would endure until the 20th century. The two ends of Mexico's political spectrum - liberals that favored populist representative government and conservatives that favored a more dictatorial regime - would each gain the upper hand at various times in the decades after Iturbide's abdication.

 Anton Bruckner (help·info) ((1824-09-04)4 September 1824 – 11 October 1896(1896-10-11)) was an Austrian composer known for his symphonies, masses, and motets. The first are considered emblematic of the final stage of Austro-German Romanticism because of their rich harmonic language, strongly polyphonic character, and considerable length. Bruckner's compositions helped to define contemporary musical radicalism, owing to their dissonances, unprepared modulations, and roving harmonies.

Unlike other musical radicals, such as Richard Wagner or Hugo Wolf who fit the enfant terrible mould, Bruckner showed extreme humility before other musicians, Wagner in particular. This apparent dichotomy between Bruckner the man and Bruckner the composer hampers efforts to describe his life in a way that gives a straightforward context for his music.

His works, the symphonies in particular, had detractors, most notably the influential Austrian critic Eduard Hanslick, and other supporters of Johannes Brahms, who pointed to their large size, use of repetition, and Bruckner's propensity to revise many of his works, often with the assistance of colleagues, and his apparent indecision about which versions he preferred. On the other hand, Bruckner was greatly admired by subsequent composers, including his friend Gustav Mahler, who described him as "half simpleton, half God".