Bachianas Brasileiras

The Bachianas Brasileiras (Portuguese pronunciation: [bakiˈɐ̃nɐz bɾaziˈlejɾɐs]) are a series of nine suites by the Brazilian composer Heitor Villa-Lobos, written for various combinations of instruments and voices between 1930 and 1945. They represent not so much a fusion of Brazilian folk and popular music on the one hand, and the style of Johann Sebastian Bach on the other, as an attempt freely to adapt a number of Baroque harmonic and contrapuntal procedures to Brazilian music (Béhague 1994, 106; Béhague 2001). Most of the movements in each suite have two titles: one "Bachian" (Preludio, Fuga, etc.), the other Brazilian (Embolada, O canto da nossa terra, etc.).

Bachianas Brasileiras No. 1

Scored for orchestra of cellos (1930):

Bachianas Brasileiras No. 2

Scored for orchestra (1930). There are four movements, the third later transcribed for piano, and the others for cello and piano (Appleby 1988, 64–65).

Joaquín Rodrigo

Joaquín Rodrigo Vidre, 1st Marquis of the Gardens of Aranjuez (Spanish: [xoaˈkin roˈðɾiɣo]; November 22, 1901 – July 6, 1999), commonly known as Joaquín Rodrigo, was a Spanish composer and a virtuoso pianist.

Rodrigo's music is among the most popular music of the 20th century. In particular, his Concierto de Aranjuez is considered one of the pinnacles of Spanish music and of the guitar concerto repertoire.

Life

Rodrigo was born in Sagunto, Valencia, and almost completely lost his sight at the age of three after contracting diphtheria. He began to study solfège, piano and violin at the age of eight; harmony and composition from the age of 16. Although distinguished by having raised the Spanish guitar to dignity as a universal concert instrument and best known for his guitar music, he never mastered the instrument himself. He wrote his compositions in Braille, which was transcribed for publication.

Rodrigo studied music under Francisco Antich in Valencia and under Paul Dukas at the École Normale de Musique in Paris. After briefly returning to Spain, he went to Paris again to study musicology, first under Maurice Emmanuel and then under André Pirro. His first published compositions date from 1940. In 1943 he received Spain's National Prize for Orchestra for Cinco piezas infantiles ("Five Children's Pieces"), based on his earlier composition of the same piece for two pianos, premiered by Ricardo Viñes. From 1947 Rodrigo was a professor of music history, holding the Manuel de Falla Chair of Music in the Faculty of Philosophy and Letters, at Complutense University of Madrid. Notable students include Yüksel Koptagel, Turkish composer and pianist.

5 (number)

5 (five /ˈfaɪv/) is a number, numeral, and glyph. It is the natural number following 4 and preceding 6.

In mathematics

Five is the third prime number. Because it can be written as 2²¹ + 1, five is classified as a Fermat prime; therefore a regular polygon with 5 sides (a regular pentagon) is constructible with compass and unmarked straightedge. 5 is the third Sophie Germain prime, the first safe prime, the third Catalan number, and the third Mersenne prime exponent. Five is the first Wilson prime and the third factorial prime, also an alternating factorial. Five is the first good prime. It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. It is also the only number that is part of more than one pair of twin primes. Five is a congruent number.

Five is conjectured to be the only odd untouchable number and if this is the case then five will be the only odd prime number that is not the base of an aliquot tree.

The number 5 is the fifth Fibonacci number, being 2 plus 3. 5 is also a Pell number and a Markov number, appearing in solutions to the Markov Diophantine equation: (1, 2, 5), (1, 5, 13), (2, 5, 29), (5, 13, 194), (5, 29, 433), ... ( A030452 lists Markov numbers that appear in solutions where one of the other two terms is 5). Whereas 5 is unique in the Fibonacci sequence, in the Perrin sequence 5 is both the fifth and sixth Perrin numbers.

Heitor Villa-Lobos

Heitor Villa-Lobos (Portuguese: [ejˌtoʁ ˌvilɐ ˈlobus]; March 5, 1887 – November 17, 1959) was a Brazilian composer, described as "the single most significant creative figure in 20th-century Brazilian art music". Villa-Lobos has become the best-known and most significant Latin American composer to date. A prolific composer, he wrote numerous orchestral, chamber, instrumental and vocal works, totaling over 2000 works by his death in 1959. His music was influenced by both Brazilian folk music and by stylistic elements from the European classical tradition, as exemplified by his Bachianas Brasileiras (Brazilian Bachian-pieces). His preludes for guitar, written in 1940, are important works in the guitar repertory, and were inspired by Andrés Segovia.

Biography

Youth and exploration

Heitor Villa-Lobos was born in Rio de Janeiro. His father, Raul, was a civil servant, an educated man of Spanish extraction, a librarian, and an amateur astronomer and musician. In Villa-Lobos's early childhood, Brazil underwent a period of social revolution and modernisation, abolishing slavery in 1888 and overthrowing the Empire of Brazil in 1889. The changes in Brazil were reflected in its musical life: previously European music had been the dominant influence, and the courses at the Conservatório de Música were grounded in traditional counterpoint and harmony. Villa-Lobos underwent very little of this formal training. After a few abortive harmony lessons, he learnt music by illicit observation from the top of the stairs of the regular musical evenings at his house arranged by his father. He learned to play cello, guitar and clarinet. When his father died suddenly in 1899 he earned a living for his family by playing in cinema and theatre orchestras in Rio.