Debussy, Math, and the Golden Ratio
Given that Debussy’s music is apparently so concerned with mood and colour, one may be surprised to discover that, according to Howat, many of his greatest works appear to have been structured around mathematical models even while using an apparent classical structure such as sonata form. Howat suggests that some of Debussy’s pieces can be divided into sections that reflect the golden ratio, frequently by using the numbers of the standard Fibonacci sequence. Sometimes these divisions seem to follow the standard divisions of the overall structure. In other pieces they appear to mark out other significant features of the music. The 55 bar-long introduction to ‘Dialogue du vent et la mer’ in La mer, for example, breaks down into 5 sections of 21, 8, 8, 5 and 13 bars in length. The golden mean point of bar 34 in this structure is signalled by the introduction of the trombones, with the use of the main motif from all three movements used in the central section around that point.
The only evidence that Howat introduces to support his claim appears in changes Debussy made between finished manuscripts and the printed edition, with the changes invariably creating a Golden Mean proportion where previously none existed. Perhaps the starkest example of this comes with La cathédrale engloutie. Published editions lack the instruction to play bars 7–12 and 22–83 at twice the speed of the remainder, exactly as Debussy himself did on a piano-roll recording. When analysed with this alteration, the piece follows Golden Section proportions. At the same time, Howat admits that in many of Debussy’s works, he has been unable to find evidence of the Golden Section (notably in the late works) and that no extant manuscripts or sketches contain any evidence of calculations related to it.
(Source: Wikipedia)
Impressions: Sunrise. Claude Monet.
The term impressionism was first used by Louis Leroy in the French paper Charivari in application to the now famous painter Monet in a derogatory way over the vague nature of his work, Impressions: Sunrise. The aim of impressionists was to “suggest rather than to depict; to mirror not the object but the emotional reaction to the object; to interpret a fugitive impression rather than to seize upon and fix the permanent reality.”
The application of the term “impressionist” to Debussy and the music he influenced is a matter of intense debate within academic circles. One side argues that the term is a misnomer, an inappropriate label which Debussy himself opposed. In a letter of 1908, he wrote “I am trying to do ‘something different’—an effect of reality…what the imbeciles call ‘impressionism’, a term which is as poorly used as possible, particularly by the critics, since they do not hesitate to apply it to Turner, the finest creator of mysterious effects in all the world of art.” The opposing side argues that Debussy may have been reacting to unfavorable criticism at the time, and the negativity that critics associated with impressionism. It can be argued that he would have been pleased with application of the current definition of impressionism to his music.
