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- Music_and_mathematics abstract "Music theorists sometimes use mathematics to understand music, and although music has no axiomatic foundation in modern mathematics, mathematics is "the basis of sound" and sound itself "in its musical aspects... exhibits a remarkable array of number properties", simply because nature itself "is amazingly mathematical". Though ancient Chinese, Egyptians and Mesopotamians are known to have studied the mathematical principles of sound, the Pythagoreans of ancient Greece are the first researchers known to have investigated the expression of musical scales in terms of numerical ratios, particularly the ratios of small integers. Their central doctrine was that "all nature consists of harmony arising out of numbers".From the time of Plato, harmony was considered a fundamental branch of physics, now known as musical acoustics. Early Indian and Chinese theorists show similar approaches: all sought to show that the mathematical laws of harmonics and rhythms were fundamental not only to our understanding of the world but to human well-being. Confucius, like Pythagoras, regarded the small numbers 1,2,3,4 as the source of all perfection.The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory. Some composers have incorporated the golden ratio and Fibonacci numbers into their work.".
- Music_and_mathematics thumbnail Spectrogram_of_violin.png?width=300.
- Music_and_mathematics wikiPageExternalLink 1.
- Music_and_mathematics wikiPageExternalLink ?pa=content&sa=viewDocument&nodeId=1313&bodyId=1470.
- Music_and_mathematics wikiPageExternalLink maths-and-music.
- Music_and_mathematics wikiPageExternalLink sonantometry.blogspot.com.
- Music_and_mathematics wikiPageExternalLink 12Tone.htm.
- Music_and_mathematics wikiPageExternalLink linear-algebra-and-music.pdf.
- Music_and_mathematics wikiPageExternalLink musictotal.pdf.
- Music_and_mathematics wikiPageExternalLink prop.html.
- Music_and_mathematics wikiPageExternalLink scales.
- Music_and_mathematics wikiPageExternalLink music.pdf.
- Music_and_mathematics wikiPageID "5643937".
- Music_and_mathematics wikiPageRevisionID "606499414".
- Music_and_mathematics date "July 2013".
- Music_and_mathematics hasPhotoCollection Music_and_mathematics.
- Music_and_mathematics reason "Contradicts rhyme/rhythm statement in previous section.".
- Music_and_mathematics subject Category:Mathematics_and_culture.
- Music_and_mathematics subject Category:Mathematics_of_music.
- Music_and_mathematics comment "Music theorists sometimes use mathematics to understand music, and although music has no axiomatic foundation in modern mathematics, mathematics is "the basis of sound" and sound itself "in its musical aspects... exhibits a remarkable array of number properties", simply because nature itself "is amazingly mathematical".".
- Music_and_mathematics label "Music and mathematics".
- Music_and_mathematics label "Música e matemática".
- Music_and_mathematics label "Música y matemáticas".
- Music_and_mathematics label "Rapporto tra musica e matematica".
- Music_and_mathematics sameAs Música_y_matemáticas.
- Music_and_mathematics sameAs Rapporto_tra_musica_e_matematica.
- Music_and_mathematics sameAs 音楽と数学.
- Music_and_mathematics sameAs Música_e_matemática.
- Music_and_mathematics sameAs m.0dxyjy.
- Music_and_mathematics sameAs Q2237415.
- Music_and_mathematics sameAs Q2237415.
- Music_and_mathematics wasDerivedFrom Music_and_mathematics?oldid=606499414.
- Music_and_mathematics depiction Spectrogram_of_violin.png.
- Music_and_mathematics isPrimaryTopicOf Music_and_mathematics.