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The ABACABA pattern is a recursive fractal pattern that shows up in many places in the real world (such as in geometry, art, music, poetry, number systems, literature and higher dimensions). Patterns often show a DABACABA type subset.
Generating the pattern
A ABA ABACABA ABACABADABACABA ABACABADABACABAEABACABADABACABA ABACABADABACABAEABACABADABACABAFABACABADABACABAEABACABADABACABA ...
- The strength, emphasis, or importance of the beginning of each duration the length of a single measure in 4/4 (eighth-notes) is, divisively (, , ), determined by each eighth-note's position in a DABACABA structure, while the eighth notes of two measures grouped, additively (), are determined by an EABACABADABACABA structure.
- Naylor, Mike (February 2013). "ABACABA Amazing Pattern, Amazing Connections". Math Horizons. Retrieved June 13, 2019.
- SheriOZ (2016-04-21). "Exploring Fractals with ABACABA". Chicago Geek Guy. Retrieved 2017-10-06.
- Naylor, Mike (2011). "Abacaba! – Using a mathematical pattern to connect art, music, poetry and literature" (PDF). Bridges. Retrieved October 6, 2017.
- Conley, Craig (2008-10-01). Magic Words: A Dictionary. Weiser Books. p. 53. ISBN 9781609250508.
- Wright, Craig (2012). The Essential Listening to Music. Cengage Learning. p. 45. ISBN 9781111342029.
- Naylor, Mike: abacaba.org
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