Lewis Jeremy Sykes the Augmented Tonoscope

Total Page:16

File Type:pdf, Size:1020Kb

Lewis Jeremy Sykes the Augmented Tonoscope Lewis Jeremy Sykes The Augmented Tonoscope Towards a Deeper Understanding of the Interplay between Sound and Image in Visual Music A thesis submitted in partial fulfilment of the requirements of the Manchester Metropolitan University for the degree of Doctor of Philosophy Manchester Institute for Research and Innovation in Art & Design (MIRIAD), Manchester School of Art February 2015 Abstract This thesis presents the theoretical, technical and aesthetic concerns in realising a harmonic complementarity and more intimate perceptual connection between music and moving image. It explores the inspirations and various processes involved in creating a series of artistic works - attached as a portfolio and produced as the research. This includes the Cymatic Adufe (v1.1) - a sound-responsive, audiovisual installation; Stravinsky Rose (v2.0) - an audiovisual short in Dome format; and the live performance works of Whitney Triptych (v1.2), Moiré Modes (v1.1) and Stravinsky Rose (v3.0). The thesis outlines an approach towards realising a deeper understanding of the interplay between sound and image in Visual Music - through applying: the Differential Dynamics of pioneering, computer-aided, experimental animator John Whitney Sr.; alternate musical tunings based on harmonic consonance and the Pythagorean laws of harmony; and sound’s ability to induce physical form and flow via Cymatics - the study of wave phenomena and vibration - a term coined by Dr. Hans Jenny for his seminal research into these effects in the 1960s and 70s, using a device of his own design - the ʻtonoscopeʼ. The thesis discusses the key method for this artistic investigation through the design, fabrication and crafting of a hybrid analogue/digital audiovisual instrument - a contemporary version of Jenny’s sound visualisation tool - The Augmented Tonoscope. It details the developmental process which has realised a modular performance system integrating sound making, sound analysis, analogue outputs, virtual systems, musical interface and recording and sequencing. Finally, the thesis details the impact of this system on creating audiovisualisation of a distinct quality through: a formalist, minimal, decluttered aesthetic; a direct, elemental and real-time correspondence between sound and image; a mirroring of music’s innate movement and transition within the visual domain; and an underlying concord or harmony between music and moving image. Lewis Sykes ii Table of Contents List of Figures vi Dedication & Acknowledgments viii Preface ix 1. Introduction 1 1.1 Outline 1 1.2 A Personal Research Statement 2 1.3 Visual Music 5 1.4 Stationary Waves 7 1.5 Cymatics 11 1.6 Cymatic Music 14 1.7 Pythagorean Laws of Harmony 15 1.8 John Whitney Sr. 17 1.9 Movement in Music - Musical Gestures 19 1.10 The Senses and Perception - Sensory Integration versus Synaesthesia 20 1.11 Audiovisual Composition 21 1.12 An Examination of the Senses 23 2. Literature Review 25 2.1 Introduction 25 2.2 Hans Jenny’s Cymatics 26 2.3 John Telfer’s Cymatic Music 27 2.4 Suguru Goto’s Cymatics 30 2.5 The Legacy of John Whitney Sr. 32 2.6 Musical Gestures 33 2.7 Sensory-Centric Philosophy 34 3. Methodology 36 3.1 Introduction 36 3.2 Research Frameworks 37 4. The Augmented Tonoscope 41 4.1 Introduction 41 4.2 On Making an Instrument 41 4.3 On Making An Instrument as Method 43 4.4 From Mental Model to Physical Device 45 4.5 Key Developmental Stages 47 4.6 A Modular Performance System 49 5. A Modular Performance System 51 5.1 Introduction 51 5.2 Sound Making 51 5.2.1 Sine Wave Generator (SWG) 53 5.2.2 Ronin Synth 57 5.2.3 Maximilian Library 59 5.3 Sound Analysis 63 5.3.1 Frequency Measurement Device v1.0 and v2.0 63 5.3.2 Minim library in Processing 64 5.3.3 MaxMSP fiddle~ object 64 iii Lewis Sykes 5.4 Analogue Outputs 65 5.4.1 Early Studio Prototypes 66 5.4.2 16” Floor Tom 67 5.4.3 13” Piccolo Snare 69 5.4.4 Drum Tuner 71 5.4.5 Comparative Tests to Virtual Drum Skin 71 5.5. Virtual Systems 72 5.5.1 Virtual Drum Skin 73 5.5.2 Superformula 75 5.5.3 John Whitney Sr.’s Differential Dynamics 75 5.6 Musical Interface 77 5.6.1 Sine Wave Generator (SWG) 79 5.6.2 Lamdoma Matrix & monome64 79 5.7. Recording & Sequencing 81 5.7.1 Ki-No-Seq (Kinetic Nodal Sequencer) 81 5.7.2 Ableton Live Suite 9.1 83 5.7.3 Recording Pitch Bend Data 83 5.7.4 Max4Live Pitch Bend Device 85 5.7.5 Micro-tuning Software 85 5.7.6 Custom Micro-tuning Hardware 87 5. 8 Conclusions 88 6. Creative Outputs 89 6.1 Introduction 89 6.2 Submitted Works 89 6.3 A Note on Naming Convention 91 6.4 Creative Output Timeline 91 6.5 On Description, Context, Technical Realisation and Critical Reflection 91 6.6 A Note on Formalism 93 6.7 Gallery Installation - The Cymatic Adufe 93 6.7.1 Description 93 6.7.2 Context 94 6.7.3 Technical Realisation 95 6.7.4 Critical Reflection 97 6.8 Screening - Stravinsky Rose (v2.0) 99 6.8.1 Description 99 6.8.2 Context 100 6.8.3 Technical Realisation 100 6.8.4. Critical Reflection 103 6.9. Live performance - Moiré Modes (v1.1), Whitney Triptych (v1.2) 105 and Stravinsky Rose (v3.0) 6.9.1 Description 105 6.9.2 Context 106 6.9.3 Technical Realisation 107 6.9.4 Critical Reflection 111 6.10 Conclusions 113 Lewis Sykes iv 7. Conclusions 115 7.1 Introduction 115 7.2 Shifting Emphasis 115 7.3 Key Research Question 117 7.4 Cymatics 117 7.5 Cymatic Limitations 118 7.6 Cymatic Art 120 7.7 Cymatic Music 121 7.8 Whitney’s Differential Dynamics 123 7.9 Perception and the Senses 123 7.10 An Emerging Aesthetic and Form 124 7.11 Impact of the Research on Personal Practice 126 7.12 Future Trajectories 127 Appendices 131 Appendix 1 A Visual Music Manifesto 132 Appendix 2 Automating Portamento 134 Appendix 3 Comparative Tests of Drum Based Analogue Tonoscopes 137 to Virtual Drum Skin Appendix 4 Adapting John Whitney Sr.’s Differential Dynamics 141 Appendix 5 Analysis of the Lamdoma Monome 143 Appendix 6 Cymatic Art & Creative Coding Examples 147 Appendix 7 Glossary of Terms 148 Appendix 8 Stationary Wave 150 Bibliography 151 v Lewis Sykes List of Figures Figure 1 - Generating stationary wave patterns 8 Figure 2 - Illustration of harmonic overtones 8 Figure 3 - Modes of vibration of a circular membrane, showing nodal lines 10 Figure 4 - The third mode (2,1) of a drum skin 10 Figure 5.1 - The fourth mode (0,2) of a drum skin - on a 16” floor tom 12 Figure 5.2 - The fourth mode (0,2) of a drum skin - via the through the 12 Virtual Drum Skin Figure 6 - The Pythagorean Lamdoid 28 Figure 7 - Lamdoma - the Pythagorean Lambdoid in its completed form 28 Figure 8 - Telfer’s 16-limit Lamdoma Matrix 28 Figure 9 - A SketchUp ‘mock-up’ of The Augmented Tonoscope 44 Figure 10 - The Augmented Tonoscope showcased at Brighton Mini 46 Maker Faire 2012, UK, 8th September 2012 Figure 11 - The Augmented Tonoscope showcased at BEAM 2012, 46 Brunel University, UK, 22nd-24th June 2012 Figure 12 - AD9835 Signal Generator with Sparkfun Breakout Board 52 Figure 13 - SWG breadboard prototype 52 Figure 14 - SWG v1.0 52 Figure 15 - SWG v2.0 52 Figure 16 - SWG v3.0 54 Figure 17 - SWG v4.0 54 Figure 18 - Arduino Ethernet Shield R3 54 Figure 19 - SWG v4.0 TouchOSC 54 Figure 20 - Ronin 802 stand alone digital synthesiser 56 Figure 21 - Ronin TouchOSC interface 56 Figure 22 - KORG MS2000 synthesiser 58 Figure 23 - Maximilian KORG MS2000 Emulator 60 Figure 24 - Frequency Measurement Device v1.0 62 Figure 25 - Frequency Measurement Device v2.0 62 Figure 26 - 16” floor tom tonoscope 68 Figure 27 - 13” piccolo snare drum tonoscope Figure 28 - DrumDial drum tuner 70 Figure 29 - Virtual Drum Skin model in openFrameworks 72 Figure 30 - A sound-responsive adaptation of Reza Ali’s 2D SuperShapes 74 in Processing Figure 31 - Whitney Triptych v1.2 76 Figure 32 - John Telfer’s Lamdoma Matrix alongside a momone.org 78 walnut 64 controller Figure 33 - The Lamdoma Monome musical interface 78 Figure 34 - A nodal sequencer prototype realised in openFrameworks 80 Figure 35 - Pitch bend envelope data recorded in Ableton Live 82 Figure 36 - Adapted zb.detune Max For Live device 84 Figure 37 - Hπ Instruments Custom Scale Editor loaded with a Scala tuning file for the 12-tone 1/3-comma meantone scale (Salinas) 84 Lewis Sykes vi Figure 38 - The Teensy Weensy Micro-tuner breadboard prototype 86 Figure 39 - The Augmented Tonoscope: Creative Outputs Timeline 90 Figure 40 - Cymatic Adufe (v1.1) 92 Figure 41 - Stravinsky Rose (v2.0) via DomeTester 98 Figure 42 - Moiré Modes (v1.1) 104 Figure 43 - A table of the six ‘preferred modes’ of timpani 108 Figure 44 - The six ‘preferred modes’ of timpani 108 Figure 45 - Bézier curve controller 134 Figure 46 - Frequencies at which distinct stationary waves patterns 136 appeared on the drum skin of the 13” piccolo snare tonoscope Figure 47 - Frequencies at which distinct stationary waves patterns 138 appeared on the drum skin of the 16” floor tom tonoscope - 100Hz - 274Hz Figure 48 - Frequencies at which distinct stationary waves patterns 139 appeared on the drum skin of the 16” floor tom tonoscope - 279Hz - 490Hz Figure 3 - Modes of vibration of a circular membrane, showing nodal lines 140 Figure 49 - Cells in the Lamdoma translated in the Z-axis according to 142 their ratio Figure 50 - Numbers spreadsheet showing analysis of the Lamdoma 144 vii Lewis Sykes Dedication To my father, Brian Sykes, for teaching me that ‘being’ is as important as ‘doing’.
Recommended publications
  • Machfive 3 User Guide
    MachFive 3 User Guide 1280 Massachusetts Avenue Cambridge, MA 02138 Business voice: +1 (617) 576-2760 Business fax: +1 (617) 576-3609 Website: www.motu.com Tech support: www.motu.com/support About the Mark of the Unicorn License Agreement and About the Ultimate Sound Bank License Agreement Limited Warranty on Software DO NOT USE THIS PRODUCT UNTIL YOU HAVE READ THIS LICENSE TO PERSONS WHO PURCHASE OR USE THIS PRODUCT: carefully AGREEMENT. BY USING THIS PRODUCT YOU ACCEPT THIS LICENSE read all the terms and conditions of the “click-wrap” license agreement AGREEMENT. presented to you when you install the software. Using the software or this 1. License Grant. USB grants to you, subject to the following terms and documentation indicates your acceptance of the terms and conditions of conditions, a non-exclusive, nontransferable right to use each authorized that license agreement. copy of the enclosed product. The enclosed product is the property of USB Mark of the Unicorn, Inc. (“MOTU”) owns both this program and its and is licensed to you only for use as part of a musical performance. This documentation. Both the program and the documentation are protected license expressly forbids resale or other distribution of these Sounds or their under applicable copyright, trademark, and trade-secret laws. Your right to derivatives, either as they exist on disc, reformatted for use in another digital use the program and the documentation are limited to the terms and sampler, or mixed, combined, filtered, resynthesized or otherwise edited, for conditions described in the license agreement. use as sounds, samples, multisamples, wavetables, programs or patches in a sampler, microchip or any hardware or software sample playback device.
    [Show full text]
  • Green Belt Slowly Coming Together
    Kemano, Kemano, Kemano She loved the outdoors 1 I Bountiful harvest Reaction to the death of the ~ Vicki Kryklywyj, the heart and soul / /Northern B.C, Winter Games project keeps rolling in by,fax, mail of local hikers, is / / athletes cleaned up in Williams,, and personal delivery/NEWS A5 : remembered/COMMUNITY B1 j /Lake this year/SPORTS Cl I • i! ':i % WEDNESDAY FEBROARY 151 1995 I'ANDAR. /iiii ¸ :¸!ilii if!// 0 re n d a t i p of u n kn own ice b e rg" LIKE ALL deals in the world of tion Corp. effective April 30, the That title is still held by original "They've phoned us and have and the majority of its services, lulose for its Prince Rupert pulp high finance, the proposed amal- transfer of Orenda's forest licorice owners Avenor Inc. of Montreal requested a meeting but there's induding steam and effluent mill for the next two years. gamation of Orenda Forest Pro- must be approved by the provin- and a group of American newspa- been no confirmation of a time treaUnent, are tied to the latter. Even should all of the Orenda duels with a mostly American cial government. per companies. for that meeting," said Archer Avenor also owns and controls pulp fibre end up at Gold River, it company is more complicated There's growing opposition to The partuership built the mill in official Norman Lord from docking facilities and a chipper at still will fall short of the 5130,000 than it first seems. the move to take wood from the the late 1980s but dosed it in the Montreal last week.
    [Show full text]
  • Catalog INTERNATIONAL
    اﻟﻤﺆﺗﻤﺮ اﻟﻌﺎﻟﻤﻲ اﻟﻌﺸﺮون ﻟﺪﻋﻢ اﻻﺑﺘﻜﺎر ﻓﻲ ﻣﺠﺎل اﻟﻔﻨﻮن واﻟﺘﻜﻨﻮﻟﻮﺟﻴﺎ The 20th International Symposium on Electronic Art Ras al-Khaimah 25.7833° North 55.9500° East Umm al-Quwain 25.9864° North 55.9400° East Ajman 25.4167° North 55.5000° East Sharjah 25.4333 ° North 55.3833 ° East Fujairah 25.2667° North 56.3333° East Dubai 24.9500° North 55.3333° East Abu Dhabi 24.4667° North 54.3667° East SE ISEA2014 Catalog INTERNATIONAL Under the Patronage of H.E. Sheikha Lubna Bint Khalid Al Qasimi Minister of International Cooperation and Development, President of Zayed University 30 October — 8 November, 2014 SE INTERNATIONAL ISEA2014, where Art, Science, and Technology Come Together vi Richard Wheeler - Dubai On land and in the sea, our forefathers lived and survived in this environment. They were able to do so only because they recognized the need to conserve it, to take from it only what they needed to live, and to preserve it for succeeding generations. Late Sheikh Zayed bin Sultan Al Nahyan viii ZAYED UNIVERSITY Ed unt optur, tet pla dessi dis molore optatiist vendae pro eaqui que doluptae. Num am dis magnimus deliti od estem quam qui si di re aut qui offic tem facca- tiur alicatia veliqui conet labo. Andae expeliam ima doluptatem. Estis sandaepti dolor a quodite mporempe doluptatus. Ustiis et ium haritatur ad quaectaes autemoluptas reiundae endae explaboriae at. Simenis elliquide repe nestotae sincipitat etur sum niminctur molupta tisimpor mossusa piendem ulparch illupicat fugiaep edipsam, conecum eos dio corese- qui sitat et, autatum enimolu ptatur aut autenecus eaqui aut volupiet quas quid qui sandaeptatem sum il in cum sitam re dolupti onsent raeceperion re dolorum inis si consequ assequi quiatur sa nos natat etusam fuga.
    [Show full text]
  • Universal Tuning Editor
    Universal Tuning Editor Ηπ INSTRUMENTS Aaron Andrew Hunt Ηπ INSTRUMENTS hpi.zentral.zone · Universal Tuning Editor · documentation v11 1.May.2021 Changes from Previous Documentation 5 Current Version, v11 — 1. May 2021 ....................................................................5 Previous Versions ............................................................................................5 Introduction 9 Features List .................................................................................................9 User Interface Basics ......................................................................................11 Maximising the Detail View ..............................................................................12 Maximising the Tuning List ..............................................................................13 Toolbar .......................................................................................................13 Bug Reporting & Feedback ...............................................................................14 Feature Requests ..........................................................................................14 File Handling 15 Preferences ..................................................................................................15 Auto store unsaved projects internally ...............................................................15 Restore external projects at next session ...........................................................15 Prompt to handle each open project
    [Show full text]
  • Collected Writings
    THE DOCUMENTS O F TWENTIETH CENTURY ART General Editor, Jack Flam Founding Editor, Robert Motherwell Other titl es in the series available from University of California Press: Flight Out of Tillie: A Dada Diary by Hugo Ball John Elderfield Art as Art: The Selected Writings of Ad Reinhardt Barbara Rose Memo irs of a Dada Dnnnmer by Richard Huelsenbeck Hans J. Kl ein sc hmidt German Expressionism: Dowments jro111 the End of th e Wilhelmine Empire to th e Rise of National Socialis111 Rose-Carol Washton Long Matisse on Art, Revised Edition Jack Flam Pop Art: A Critical History Steven Henry Madoff Co llected Writings of Robert Mothen/le/1 Stephanie Terenzio Conversations with Cezanne Michael Doran ROBERT SMITHSON: THE COLLECTED WRITINGS EDITED BY JACK FLAM UNIVERSITY OF CALIFORNIA PRESS Berkeley Los Angeles Londo n University of Cali fornia Press Berkeley and Los Angeles, California University of California Press, Ltd. London, England © 1996 by the Estate of Robert Smithson Introduction © 1996 by Jack Flam Library of Congress Cataloging-in-Publication Data Smithson, Robert. Robert Smithson, the collected writings I edited, with an Introduction by Jack Flam. p. em.- (The documents of twentieth century art) Originally published: The writings of Robert Smithson. New York: New York University Press, 1979. Includes bibliographical references and index. ISBN 0-520-20385-2 (pbk.: alk. paper) r. Art. I. Title. II. Series. N7445.2.S62A3 5 1996 700-dc20 95-34773 C IP Printed in the United States of Am erica o8 07 o6 9 8 7 6 T he paper used in this publication meets the minimum requirements of ANSII NISO Z39·48-1992 (R 1997) (Per111anmce of Paper) .
    [Show full text]
  • 2014 Children and Teens Department Summer Favorites
    2014 CHILDREN AND TEENS DEPARTMENT SUMMER FAVORITES , copyright 2014 with permission from Candlewick from with permission 2014 , copyright Firefly July Firefly Illustration from from Illustration 1 PICTURE BOOKS Never turn the page too quickly. Never assume you know what happens next. These are the rules for reading Rules of Summer (Arthur A. Levine, $18.99). In this tale of two brothers’ summertime adventures and mistakes, Shaun Tan creates a world in which meteors are caught like fireflies, robots populate parades, Kazuno Kohara animates the sleeping hours in and a giant rabbit menaces those who leave The Midnight Library (Roaring Brook, $16.99), red socks on the clothesline. Tan’s sweeping a charming tale of the nocturnal life of a library surreal paintings pair with sparse text to create and the librarian who shepherds its animal a world of commonplace marvels that invite patrons. Characters will inspire giggles in young the full participation of the reader. His work readers and ring true to daytime librarians: never confines a reader to a single, easily the loud squirrel musicians, the tortoise who interpretable narrative. Its appeal is part wonder, has plodded only halfway through his tome by part adventure, and part lurking menace. Wildly closing (sunrise). The linocut illustrations’ bold inventive and richly layered, this meditation outlines and minimal color palette add a layer on friendship, childhood, and imagination will of nighttime fantasy and heighten the book’s engage a wide range of readers. The book’s an magic. A sweet homage to librarians, the book adventure in itself, the kind to which one returns also works as a bedtime read, closing with a again and again.
    [Show full text]
  • Newsletter Fall2006 Gen.Pmd
    PIMS Magazine Vol. 10 Fall 2006 Alberta Government contributes $1.147- million to PIMS for 2006-2009 The Pacific Institute for the Mathematical Sciences (PIMS) has received a renewal of support from the Alberta Innovation and Science (AIS) for PIMS mathematical activities in Alberta. PIMS will receive $1.147-million over three years from the Alberta government agency. AIS focused on PIMS’ established record in mathematical research and education in Western Canada as the reason to renew and increase funding to $1.147-million between 2006 and 2009. With the initial AIS funding in 2004, PIMS developed activities towards mathematical education and outreach in Alberta, demonstrating PIMS’ dedication to developing inclusive programmes for Alberta’s mathematical commu- nity. With the new funding, PIMS plans to increase its commitment to education and outreach in Alberta, and will participate in the AIS’ three major research priorities: life sciences, energy research, and information and communication technologies. Interview with Ingrid Institutional Autonomy mittee and the SAB. The requirement to have a Canadian and American organizer for each five- Daubechies Consecrates BIRS’s day workshop has been removed, and the The Princeton pro- Role as World competition is now open to all. fessor speaks with Resource The new organizational structure of BIRS PIMS about math- ensures a transparent and uniform governance The Banff International ematics, research in structure that will enable BIRS to attract the industry, and being a Research Station (BIRS) — best proposals from all over the world. PIMS, woman in a male- which was launched in September, 2001, and dominated field. MSRI and MITACS congratulate BIRS on its inaugurated in March, 2003 — was the Interview on Page renewal and on the new era of scientific excel- fulfillment of a remarkable international effort 15 lence upon which it is about to embark.
    [Show full text]
  • W E S T C O a S T a R T S a N D C U L T U
    free SWEST COAST ARTS AND CULTUREFAQ Jay DeFeo Jens Hoffmann Kathan Brown Bay Area Latino Arts Part 1: Enrique Chagoya - MENA Report Part 1: Istanbul Biennial with Jens Hoffmann - Scales Fall From My Eyes: Bay Area Beat Generation Visual Art as told to Paul Karlstrom - Peter Selz - Crown Point Press: Kathan Brown SFAQ Artist Spread - Paulson Bott Press - Collectors Corner: Peter Kirkeby Flop Box Zine Reviews - Bay Area Event Calendar: August, September, October West Coast Residency Listing SAN FRANCISCO ARTS QUARTERLY ISSUE.6 ROBERT BECHTLE A NEW SOFT GROUND ETCHING Brochure available Three Houses on Pennsylvania Avenue, 2011. 30½ x 39", edition 40. CROWN POINT PRESS 20 Hawthorne Street San Francisco, CA 94105 www.crownpoint.com 415.974.6273 3IGNUPFOROURE NEWSLETTERATWWWFLAXARTCOM ,IKEUSON&ACEBOOK &OLLOWUSON4WITTER 3IGNUPFOROURE NEWSLETTERATWWWFLAXARTCOM ,IKEUSON&ACEBOOK &OLLOWUSON4WITTER berman_sf_quarterly_final.pdf The Sixth Los Angeles International Contemporary Art Fair September 30 - October 2, 2011 J.W. Marriott Ritz Carlton www.artla.net \ 323.965.1000 Bruce of L.A. B. Elliott, 1954 Collection of John Sonsini Ceramics Annual of America 2011 October 7-9, 2011 ART FAIR SAN FRANCISCO FORT MASON | FESTIVAL PAVILION DECEMBER 1 - 4, 2011 1530 Collins Avenue (south of Lincoln Road), Miami Beach $48$$570,$0,D&20 VIP Preview Opening November 30, 2011 For more information contact: Public Hours December 1- 4, 2011 [email protected] 1.877.459.9CAA www.ceramicsannual.org “The best hotel art fair in the world.” DECEMBER 1 - 4, 2011 1530 Collins Avenue (south of Lincoln Road), Miami Beach $48$$570,$0,D&20 VIP Preview Opening November 30, 2011 Public Hours December 1- 4, 2011 “The best hotel art fair in the world.” Lucas Soi ìWe Bought The Seagram Buildingî October 6th-27th For all your art supply needs, pick Blick.
    [Show full text]
  • Science Fiction
    Science Fiction Location Author Title J AND Anderson, M.T. He Laughed With His Other Mouths Boy Technonaut Jasper Dash enlists the help of his friends to find his missing father in this science fiction adventure chock-full of aliens, spaceships, friendship, and plenty of death rays. J AND Anderson, M. T. Whales on Stilts Racing against the clock, shy middle-school student Lily and her best friends, Katie and Jasper, must foil the plot of her father's conniving boss to conquer the world using an army of whales. J ANG Angleberger, Tom Fuzzy When Max (Maxine Zealster) befriends her new robot classmate Fuzzy, she helps him navigate Vanguard Middle School and together they reveal the truth behind the Robot Integration Program. SERIES Applegate, Katherine The Hork-Bajir Chronicles ANIMORPHS Before the Animorphs, on another world, the fight began. Prior to their invasion of Earth, the Yeerks attacked a gentle and docile species known as the Hork-Bajir. This is the story of a special Hork-Bajir, his Andalite friend, and their future enemy, Visser Three. J APP Appleton II, Victor Tom Swift and His Airship, or, The Stirring Cruise of the Red Cloud Originally published in 1910. In this classic series of adventures, the young inventor builds an airship, makes a trial trip, and experiences a smash-up in midair. J ASC Asch, Frank Star Jumper : Journal of a Cardboard Genius Determined to get far away from his evil little brother, Alex works to design a spaceship that will take him so far away from Earth that not even the NASA experts can find him, yet when his brother catches on to his plan, Alex fears that his nearly finished project may be ruined before he gets his chance to take-off.
    [Show full text]
  • Why Math Works So Well
    Fractals, such as this stack of spheres created using 3-D modeling software, are one of the mathematical structures that were invent- ed for abstract reasons yet manage to capture reality. 80 Scientific American, August 2011 © 2011 Scientific American Mario Livio is a theoretical astrophysicist at the Space Telescope Science Institute in Baltimore. He has studied a wide range of cosmic phenomena, ranging from dark energy and super nova explosions to extrasolar planets and accretion onto white dwarfs, neutron stars and black holes. PHILOSOPHY OF SCIENCE Why Math Wo r k s Is math invented or discovered? A leading astrophysicist suggests that the answer to the millennia-old question is both By Mario Livio ost of us take it for granted German physicist Heinrich Hertz detected them. Very that math works—that sci­ few languages are as effective, able to articulate vol­ entists can devise formulas umes’ worth of material so succinctly and with such to describe subatomic events precision. Albert Einstein pondered, “How is it possi­ or that engineers can calcu­ ble that mathematics, a product of human thought late paths for spacecraft. We that is independent of experience, fits so excellently accept the view, initially es­ the objects of physical reality?” poused by Galileo, that mathematics is the language of As a working theoretical astrophysicist, I encoun­ Mscience and expect that its grammar explains experi­ ter the seemingly “unreasonable effectiveness of math­ mental results and even predicts novel phenomena. ematics,” as Nobel laureate physicist Eugene Wigner The power of mathematics, though, is nothing short of called it in 1960, in every step of my job.
    [Show full text]
  • Bibliography
    Bibliography A. Aaboe, Episodes from the Early History of Mathematics (Random House, New York, 1964) A.D. Aczel, Fermat’s Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem (Four Walls Eight Windows, New York, 1996) D. Adamson, Blaise Pascal: Mathematician, Physicist, and Thinker About God (St. Martin’s Press, New York, 1995) R.P. Agarwal, H. Agarwal, S.K. Sen, Birth, Growth and Computation of Pi to ten trillion digits. Adv. Differ. Equat. 2013, 100 (2013) A.A. Al-Daffa’, The Muslim Contribution to Mathematics (Humanities Press, Atlantic Highlands, 1977) A.A. Al-Daffa’, J.J. Stroyls, Studies in the Exact Sciences in Medieval Islam (Wiley, New York, 1984) E.J. Aiton, Leibniz: A Biography (A. Hilger, Bristol, Boston, 1984) R.E. Allen, Greek Philosophy: Thales to Aristotle (The Free Press, New York, 1966) G.J. Allman, Greek Geometry from Thales to Euclid (Arno Press, New York, 1976) E.N. da C. Andrade, Sir Issac Newton, His Life and Work (Doubleday & Co., New York, 1954) W.S. Anglin, Mathematics: A Concise History and Philosophy (Springer, New York, 1994) W.S. Anglin, The Queen of Mathematics (Kluwer, Dordrecht, 1995) H.D. Anthony, Sir Isaac Newton (Abelard-Schuman, New York, 1960) H.G. Apostle, Aristotle’s Philosophy of Mathematics (The University of Chicago Press, Chicago, 1952) R.C. Archibald, Outline of the history of mathematics.Am. Math. Monthly 56 (1949) B. Artmann, Euclid: The Creation of Mathematics (Springer, New York, 1999) C.N. Srinivasa Ayyangar, The History of Ancient Indian Mathematics (World Press Private Ltd., Calcutta, 1967) A.K. Bag, Mathematics in Ancient and Medieval India (Chaukhambha Orientalia, Varanasi, 1979) W.W.R.
    [Show full text]
  • I Temperamenti L'incontro Fra Suoni Ed Esigenze Compositive
    I Temperamenti L'incontro fra suoni ed esigenze compositive PDF generato attraverso il toolkit opensource ''mwlib''. Per maggiori informazioni, vedi [[http://code.pediapress.com/ http://code.pediapress.com/]]. PDF generated at: Thu, 01 Mar 2012 14:54:56 UTC Indice Voci Premessa 1 Prerequisiti 3 Intervallo 3 Semitono 6 Tono 7 Cent 8 Scala musicale 9 Scala diatonica 11 Scala cromatica 14 Circolo delle quinte 15 Dalla fisica alla musica 18 Rapporto tra musica e matematica 18 Battimenti 25 Consonanza e dissonanza 28 Temperamenti 33 Temperamento 33 Armonici naturali 39 Armonici artificiali 41 Comma 42 Scala pitagorica 43 Temperamento equabile 46 Temperamento mesotonico 50 Temperamento naturale 52 Esempi di musica di diversi temperamenti 53 Musica nell'antica Grecia 53 Il clavicembalo ben temperato 59 Musica microtonale 63 Appendice 72 Onda sonora 72 Altezza dei suoni 74 Accordatura 79 Intonazione 81 Principio di indeterminazione tonale 83 Andreas Werckmeister 84 Note Fonti e autori delle voci 86 Fonti, licenze e autori delle immagini 87 Licenze della voce Licenza 88 Premessa 1 Premessa Cos'è questo libro Questo è un libro di Wikipedia. È una raccolta di voci tratte dall'edizione italiana dell'enciclopedia online Wikipedia [1]. Le voci di Wikipedia sono scritte collettivamente e i lettori sono anche gli autori. Nessuno è stato pagato per scrivere questo libro. Come usare questo libro Quest'opera può essere liberamente utilizzata, riprodotta, modificata, distribuita per qualsiasi scopo (anche commerciale), a patto di attribuire correttamente la provenienza dei contenuti e citare gli autori, nel rispetto della licenza Creative Commons Attribuzione-Condividi allo stesso modo (CC-BY-SA) 3.0 [2] per quanto riguarda i testi.
    [Show full text]