Mathematics and Music The Collision of Science and Art Essay

The concept of the Renaissance man is somewhat of a lost ideal, replaced by the specialized philosophy of the industrial era. From the 14th to 17th centuries; however, it would be common to find a man with a profound knowledge of both the Arts, music, poetry, literature, art, and the Sciences, mathematics, physics, chemistry, biology. The Renaissance man embraced all forms of knowledge, and through a deep passion for both the Arts and Sciences, used each discipline to expand the other. Unfortunately, in the 21st century, this same philosophy is far gone. Where these two fields once were used together to create an ultimate beauty, they are now pitted against each other by many scholars. It is not uncommon now for a mathematician or†¦show more content†¦To understand what exactly these ratios are we must first understand; what is the set of Fibonacci numbers? Mathematically, the Fibonacci Series is defined Fn = Fn-1 + Fn-2 with seed values F1 = 1 and F2 = 1. Seed values are va lues from which an equation is allowed to work. Without seed values there would be no basis for the equation, and therefore no way to expand upon it. This sequence is named after Leonardo Fibonacci who, in 1202 A.D., introduced the sequence to Europe. The first ten numbers are as follows: 1,1,2,3,5,8,13,21,34,55. These numbers are closely connected to something called the Golden Ratio, or Phi, the value of this ratio in three significant figures is 1.61. Interestingly, when dividing a Fibonacci number by the number directly before it in the sequence, the ratio of successive numbers gets closer to Phi. The Golden Ratio has been considered by many aesthetic philosophers to be the most pleasing proportion for works of art and architecture. It is well documented how the Golden Ratio has been utilized in pieces of art and architecture; however, it also finds its place in music. For example, Erik Satie, a French composer, utilized the golden ratio to write several pieces. The golden ratio is also found in the musical piece Reflections in the Water written by Debussy. In this piece the climax of the song sits at Phi, or approximately 61% into the song, and each sequences of keysShow MoreRelatedThe Importance of Philosophy to Engineering8110 Words   |  33 Pagesthe world that reduces nature to resources in a dominating Gestell or enframing3. Heidegger is perhaps more subtle on this point than is always recognized. But on one common interpretation, Heidegger can be construed to say that Herbert Simons sciences of the artificial,4 for example, promote a constrained and constraining ontol ogy of mathematical reduction and an epistemology of virtual reality. Feminist critics have even associated engineering with patriarchal domination, the death of natureRead MoreCompilation of Mathematicians and Their Contributions11615 Words   |  47 PagesBirthdate: 624 B.C. Died: 547-546 B. C. Nationality: Greek Title: Regarded as â€Å"Father of Science† Contributions: * He is credited with the first use of deductive reasoning applied to geometry. * Discovery that a circle is  bisected  by its diameter, that the base angles of an isosceles triangle are equal and that  vertical angles  are equal. * Accredited with foundation of the Ionian school of Mathematics that was a centre of learning and research. * Thales theorems used in Geometry: 1Read Morepreschool Essay46149 Words   |  185 PagesCalifornia Preschool Learning Foundations Volume 2 CALIFORNIA DEPAR TMENT OF EDUCATION †¢ SACRAMENTO, 2010 California Preschool Learning Foundations Volume 2 Visual and Performing Arts Physical Development Health Publishing Information The California Preschool Learning Foundations (Volume 2) was developed by the Child Development Division, California Department of Education. This publication was edited by Faye Ong, working in cooperation with Laura Bridges and DesireeRead MoreTraditional and Contemporary Issues and Challenges14128 Words   |  57 Pagesperspective on management, including the Hawthorne studies, human relations movement, and organizational behavior, and note its relevance to contemporary managers. 4. Summarize and evaluate the quantitative perspective on management, including management science and operations management, and note its relevance to contemporary managers. 5. Discuss the systems and contingency approaches to management and explain their potential for integrating the other areas of management. 6. Identify and describe contemporaryRead MoreOrganisational Theory230255 Words   |  922 Pagesunderstanding the diverse nature of organization theory Mapping some aspects of organization theory’s diversity Positivist protagonists: the truth is out there, and we can objectively know it Philosophical disputes around the role of the subjective in science Epistemologica l and ontolological disputes: how can we ever know the ‘truth’ and is there an ‘out there’? A few words of warning about the term postmodernism Overview of the structure and rationale of the book Chapter summaries Chapter 2: ModernistRead MoreInnovators Dna84615 Words   |  339 Pagesnew ideas that solve the important problems. Buy it now and read it tonight. Tomorrow you will learn more, create more, inspire more.† Chairman of the Executive Committee, Intuit Inc. â€Å" e Innovator’s DNA sheds new light on the once-mysterious art of innovation by showing that successful innovators exhibit common behavioral habits—habits that can boost anyone’s creative capacity.† author, e 7 Habits of Highly E ective People and e Leader in Me â€Å"Having worked with Clayton Christensen onRead More_x000C_Introduction to Statistics and Data Analysis355457 Words   |  1422 PagesAshley Summers Technology Project Manager: Colin Blake Marketing Manager: Joe Rogove Marketing Assistant: Jennifer Liang Marketing Communications Manager: Jessica Perry Project Manager, Editorial Production: Jennifer Risden Creative Director: Rob Hugel Art Director: Vernon Boes Print Buyer: Karen Hunt Permissions Editor: Isabel Alves Production Service: Newgen–Austin Text Designer: Stuart Paterson Photo Researcher: Gretchen Miller Copy Editor: Nancy Dickson Illustrator: Jade Myers; Newgen–India CoverRead MoreManaging Information Technology (7th Edition)239873 Words   |  960 PagesManager: Mary Kate Murray Editorial Assistant: Jason Calcano Director of Marketing: Patrice Lumumba Jones Senior Marketing Manager: Anne Fahlgren Production Manager: Debbie Ryan Art Director: Jayne Conte Cover Designer: Bruce Kenselaar Photo Researcher: Karen Sanatar Manager, Rights and Permissions: Hessa Albader Cover Art: Fotolia Media Editor: Denise Vaughn Media Project Manager: Lisa Rinaldi Full-Service Project Management: Integra Software Services Pvt. Ltd. Printer/Binder: Edwards Brothers Read MoreBest Practices in Inventory Management84369 Words   |  338 PagesOXFORD AMSTERDAM BOSTON LONDON NEW YORK PARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY TOKYO Butterworth-Heinemann An imprint of Elsevier Science Linacre House, Jordan Hill, Oxford OX2 8DP 225 Wildwood Avenue, Woburn, MA 01801-2041 First published by John Wiley Sons 1997 Second edition published by Elsevier Science Ltd 2002 Copyright  © 2002, Elsevier Science Ltd. All rights reserved No part of this publication may be reproduced in any material form (including photocopying or storing in any mediumRead MoreFundamentals of Hrm263904 Words   |  1056 Pagescapitalizing on the various skills and backgrounds that each member brings to the team. Consider, for example, what kind of group it takes to put together a symphony. One musician could not possibly play all the various instruments at one time. To blend the music of the orchestra, symphonies have string sections, brass instruments, percussion, and the like. At times, however, a musician may cross over these boundaries, such as the trombonist who also plays the piano. These work teams are driven by the tasks