Music Fibonacci numbers in popular culture

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tool s song lateralus album of same name features fibonacci sequence symbolically in verses of song. syllables in first verse count 1, 1, 2, 3, 5, 8, 5, 13, 13, 8, 5, 3. missing section (2, 1, 1, 2, 3, 5, 8) later filled in during second verse. time signatures of chorus change 9/8 8/8 7/8; drummer danny carey says, titled 9-8-7. time signatures. turned out 987 16th number of fibonacci sequence. cool.


fibonacci intervals (counting in semitones) in bartók s sonata 2 pianos , percussion, 3rd mov. (1937).  play (help·info)



ernő lendvai analyzes béla bartók s works being based on 2 opposing systems, of golden ratio , acoustic scale. in third movement of bartók s music strings, percussion , celesta, opening xylophone passage uses fibonacci rhythm such: 1:1:2:3:5:8:5:3:2:1:1.
the fibonacci numbers apparent in organisation of sections in music of debussy s image, reflections in water, in sequence of keys marked out intervals 34, 21, 13 , 8.
italian composer , mathematical-physicist matteo sommacal wrote in 2002 eight-movement suite fibonacci s piranhas, piano 4, 5 , 6 hands, makes extensive use of fibonacci numbers deriving , developing whole melodic, rhythmic , harmonic structure of piece.
polish composer krzysztof meyer structured values in trio clarinet, cello , piano according fibonacci sequence.
fibonacci s name adopted los angeles-based art rock group fibonaccis, recorded 1981 1987.
american musician bt recorded song titled fibonacci sequence . narrator in song goes through numbers of sequence 1 21 (0 not mentioned). track appeared on limited edition version of 1999 album movement in still life, , featured on second disc of global underground 013: ibiza compilation mixed sasha.
voiceover , recording artist ken nordine described fibonacci numbers in word jazz piece called fibonacci numbers on album transparent mask.
australian electronic group angelspit uses fibonnaci in song vermin. lyrics start with, 1, 2 3 5 8, decapitate? , continues through few more iterations of sequence.
avant garde composer elliott sharp used fibonacci numbers in compositions.




^ di carlo, christopher (2001). interview maynard james keenan . archived original on 2012-04-20. retrieved 2007-05-22. 
^ . exposition of how fibonacci sequence appears in lateralus set pictures hubble telescope: https://www.youtube.com/watch?v=ws7czijvxfy
^ norris, chris (2001). hammer of gods . archived original on 2012-04-20. retrieved 2007-04-25. 
^ maconie, robin (2005). other planets, 26 & 28. isbn 0-8108-5356-6. citing lendvai (1972). einführung in die formen- und harmonienwelt bartóks (1953), béla bartók: weg und werk, p.105-49. bence szabolcsi, ed.
^ *lendvai, ernő (1971). béla bartók: analysis of music. introd. alan bush. london: kahn & averill. isbn 0-900707-04-6. oclc 240301. 
^ smith, peter f. dynamics of delight: architecture , aesthetics (new york: routledge, 2003) p. 83, isbn 0-415-30010-x
^ m. sommacal, fibonacci s piranhas - 5th movement, performed valeria di matteo
^ m. sommacal, fibonacci s piranhas - 5th movement, performed taglieri genitoni duo, live recording, concerti e colline , nizza monferrato, 31 january 2012
^ m.g. ortore, musica, fisica e matematica: intervista matteo sommacal , ticonzero, article 61, april 2015, issn 2420-8442
^ weselmann, thomas (2003) musica incrostata. poznan
^ bt - fibonacci sequence on youtube
^ fibonacci numbers: ken nordine @ amazon.com.
^ ambrose, p. elliott sharp’s instrumental vision morning news, october 4, 2005






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