Developing a Flexible and Expressive Realtime Polyphonic Wave Terrain Synthesis Instrument Based on a Visual and Multidimensional Methodology
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Theory and Practice of Modified Frequency Modulation Synthesis*
PAPERS Theory and Practice of Modified Frequency Modulation Synthesis* VICTOR LAZZARINI AND JOSEPH TIMONEY ([email protected]) ([email protected]) Sound and Music Technology Group, National University of Ireland, Maynooth, Ireland The theory and applications of a variant of the well-known synthesis method of frequency modulation, modified frequency modulation (ModFM), is discussed. The technique addresses some of the shortcomings of classic FM and provides a more smoothly evolving spectrum with respect to variations in the modulation index. A complete description of the method is provided, discussing its characteristics and practical considerations of instrument design. A phase synchronous version of ModFM is presented and its applications on resonant and formant synthesis are explored. Extensions to the technique are introduced, providing means of changing spectral envelope symmetry. Finally its applications as an adaptive effect are discussed. Sound examples for the various applications of the technique are offered online. 0 INTRODUCTION tion we will examine further applications in complement to the ones presented in [11]. We will also look at exten- The elegance and efficiency of closed-form formulas, sions to the basic technique as well as its use as an adap- which arise in various distortion synthesis algorithms, rep- tive effect. resent a resource for instrument design that is explored too rarely. Among the many techniques in this group there 1 SIMPLE MODFM SYNTHESIS are frequency modulation synthesis [1], summation formula method [2], nonlinear waveshaping [3], [4], and phase dis- ModFM synthesis represents an interesting alternative tortion [5]. Some of these techniques remain largely for- to the well-known FM [1] (or phase-modulation) synthe- gotten, even when many useful applications for them can sis. -
Vector Synthesis: a Media Archaeological Investigation Into Sound-Modulated Light
VECTOR SYNTHESIS: A MEDIA ARCHAEOLOGICAL INVESTIGATION INTO SOUND-MODULATED LIGHT Submitted for the qualification Master of Arts in Sound in New Media, Department of Media, Aalto University, Helsinki FI April, 2019 Supervisor: Antti Ikonen Advisor: Marco Donnarumma DEREK HOLZER [BLANK PAGE] Aalto University, P.O. BOX 11000, 00076 AALTO www.aalto.fi Master of Arts thesis abstract Author Derek Holzer Title of thesis Vector Synthesis: a Media-Archaeological Investigation into Sound-Modulated Light Department Department of Media Degree programme Sound in New Media Year 2019 Number of pages 121 Language English Abstract Vector Synthesis is a computational art project inspired by theories of media archaeology, by the history of computer and video art, and by the use of discarded and obsolete technologies such as the Cathode Ray Tube monitor. This text explores the military and techno-scientific legacies at the birth of modern computing, and charts attempts by artists of the subsequent two decades to decouple these tools from their destructive origins. Using this history as a basis, the author then describes a media archaeological, real time performance system using audio synthesis and vector graphics display techniques to investigate direct, synesthetic relationships between sound and image. Key to this system, realized in the Pure Data programming environment, is a didactic, open source approach which encourages reuse and modification by other artists within the experimental audiovisual arts community. Keywords media art, media-archaeology, audiovisual performance, open source code, cathode- ray tubes, obsolete technology, synesthesia, vector graphics, audio synthesis, video art [BLANK PAGE] O22 ABSTRACT Vector Synthesis is a computational art project inspired by theories of media archaeology, by the history of computer and video art, and by the use of discarded and obsolete technologies such as the Cathode Ray Tube monitor. -
Plotting the Spirograph Equations with Gnuplot
Plotting the spirograph equations with gnuplot V´ıctor Lua˜na∗ Universidad de Oviedo, Departamento de Qu´ımica F´ısica y Anal´ıtica, E-33006-Oviedo, Spain. (Dated: October 15, 2006) gnuplot1 internal programming capabilities are used to plot the continuous and segmented ver- sions of the spirograph equations. The segmented version, in particular, stretches the program model and requires the emmulation of internal loops and conditional sentences. As a final exercise we develop an extensible minilanguage, mixing gawk and gnuplot programming, that lets the user combine any number of generalized spirographic patterns in a design. Article published on Linux Gazette, November 2006 (#132) I. INTRODUCTION S magine the movement of a small circle that rolls, with- ¢ O ϕ Iout slipping, on the inside of a rigid circle. Imagine now T ¢ 0 ¢ P ¢ that the small circle has an arm, rigidly atached, with a plotting pen fixed at some point. That is a recipe for β drawing the hypotrochoid,2 a member of a large family of curves including epitrochoids (the moving circle rolls on the outside of the fixed one), cycloids (the pen is on ϕ Q ¡ ¡ ¡ the edge of the rolling circle), and roulettes (several forms ¢ rolling on many different types of curves) in general. O The concept of wheels rolling on wheels can, in fact, be generalized to any number of embedded elements. Com- plex lathe engines, known as Guilloch´e machines, have R been used since the XVII or XVIII century for engrav- ing with beautiful designs watches, jewels, and other fine r p craftsmanships. Many sources attribute to Abraham- Louis Breguet the first use in 1786 of Gilloch´eengravings on a watch,3 but the technique was already at use on jew- elry. -
Around and Around ______
Andrew Glassner’s Notebook http://www.glassner.com Around and around ________________________________ Andrew verybody loves making pictures with a Spirograph. The result is a pretty, swirly design, like the pictures Glassner EThis wonderful toy was introduced in 1966 by Kenner in Figure 1. Products and is now manufactured and sold by Hasbro. I got to thinking about this toy recently, and wondered The basic idea is simplicity itself. The box contains what might happen if we used other shapes for the a collection of plastic gears of different sizes. Every pieces, rather than circles. I wrote a program that pro- gear has several holes drilled into it, each big enough duces Spirograph-like patterns using shapes built out of to accommodate a pen tip. The box also contains some Bezier curves. I’ll describe that later on, but let’s start by rings that have gear teeth on both their inner and looking at traditional Spirograph patterns. outer edges. To make a picture, you select a gear and set it snugly against one of the rings (either inside or Roulettes outside) so that the teeth are engaged. Put a pen into Spirograph produces planar curves that are known as one of the holes, and start going around and around. roulettes. A roulette is defined by Lawrence this way: “If a curve C1 rolls, without slipping, along another fixed curve C2, any fixed point P attached to C1 describes a roulette” (see the “Further Reading” sidebar for this and other references). The word trochoid is a synonym for roulette. From here on, I’ll refer to C1 as the wheel and C2 as 1 Several the frame, even when the shapes Spirograph- aren’t circular. -
Computer Sound Design : Synthesis Techniques and Programming
Computer Sound Design Titles in the Series Acoustics and Psychoacoustics, 2nd edition (with website) David M. Howard and James Angus The Audio Workstation Handbook Francis Rumsey Composing Music with Computers (with CD-ROM) Eduardo Reck Miranda Digital Audio CD and Resource Pack Markus Erne (Digital Audio CD also available separately) Digital Sound Processing for Music and Multimedia (with website) Ross Kirk and Andy Hunt MIDI Systems and Control, 2nd edition Francis Rumsey Network Technology for Digital Audio Andrew Bailey Computer Sound Design: Synthesis techniques and programming, 2nd edition (with CD-ROM) Eduardo Reck Miranda Sound and Recording: An introduction, 4th edition Francis Rumsey and Tim McCormick Sound Synthesis and Sampling Martin Russ Sound Synthesis and Sampling CD-ROM Martin Russ Spatial Audio Francis Rumsey Computer Sound Design Synthesis techniques and programming Second edition Eduardo Reck Miranda Focal Press An imprint of Elsevier Science Linacre House, Jordan Hill, Oxford OX2 8DP 225 Wildwood Avenue, Woburn MA 01801-2041 First published as Computer Sound Synthesis for the Electronic Musician 1998 Second edition 2002 Copyright © 1998, 2002, Eduardo Reck Miranda. All rights reserved The right of Eduardo Reck Miranda to be identified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988 No part of this publication may be reproduced in any material form (including photocopying or storing in any medium by electronic means and whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright holder except in accordance with the provisions of the Copyright, Designs and Patents Act 1988 or under the terms of a licence issued by the Copyright Licensing Agency Ltd, 90 Tottenham Court Road, London, England W1T 4LP. -
Pdf Nord Modular
Table of Contents 1 Introduction 1.1 The Purpose of this Document 1.2 Acknowledgements 2 Oscillator Waveform Modification 2.1 Sync 2.2 Frequency Modulation Techniques 2.3 Wave Shaping 2.4 Vector Synthesis 2.5 Wave Sequencing 2.6 Audio-Rate Crossfading 2.7 Wave Terrain Synthesis 2.8 VOSIM 2.9 FOF Synthesis 2.10 Granular Synthesis 3 Filter Techniques 3.1 Resonant Filters as Oscillators 3.2 Serial and Parallel Filter Techniques 3.3 Audio-Rate Filter Cutoff Modulation 3.4 Adding Analog Feel 3.5 Wet Filters 4 Noise Generation 4.1 White Noise 4.2 Brown Noise 4.3 Pink Noise 4.4 Pitched Noise 5 Percussion 5.1 Bass Drum Synthesis 5.2 Snare Drum Synthesis 5.3 Synthesis of Gongs, Bells and Cymbals 5.4 Synthesis of Hand Claps 6 Additive Synthesis 6.1 What is Additive Synthesis? 6.2 Resynthesis 6.3 Group Additive Synthesis 6.4 Morphing 6.5 Transients 6.7 Which Oscillator to Use 7 Physical Modeling 7.1 Introduction to Physical Modeling 7.2 The Karplus-Strong Algorithm 7.3 Tuning of Delay Lines 7.4 Delay Line Details 7.5 Physical Modeling with Digital Waveguides 7.6 String Modeling 7.7 Woodwind Modeling 7.8 Related Links 8 Speech Synthesis and Processing 8.1 Vocoder Techniques 8.2 Speech Synthesis 8.3 Pitch Tracking 9 Using the Logic Modules 9.1 Complex Logic Functions 9.2 Flipflops, Counters other Sequential Elements 9.3 Asynchronous Elements 9.4 Arpeggiation 10 Algorithmic Composition 10.1 Chaos and Fractal Music 10.2 Cellular Automata 10.3 Cooking Noodles 11 Reverb and Echo Effects 11.1 Synthetic Echo and Reverb 11.2 Short-Time Reverb 11.3 Low-Fidelity -
Unity Via Diversity 81
Unity via diversity 81 Unity via diversity Unity via diversity is a concept whose main idea is that every entity could be examined by different point of views. Many sources name this conception as interdisciplinarity . The mystery of interdisciplinarity is revealed when people realize that there is only one discipline! The division into multiple disciplines (or subjects) is just the human way to divide-and-understand Nature. Demonstrations of how informatics links real life and mathematics can be found everywhere. Let’s start with the bicycle – a well-know object liked by most students. Bicycles have light reflectors for safety reasons. Some of the reflectors are attached sideway on the wheels. Wheel reflector Reflectors notify approaching vehicles that there is a bicycle moving along or across the road. Even if the conditions prevent the driver from seeing the bicycle, the reflector is a sufficient indicator if the bicycle is moving or not, is close or far, is along the way or across it. Curve of the reflector of a rolling wheel When lit during the night, the wheel’s side reflectors create a beautiful luminous curve – a trochoid . 82 Appendix to Chapter 5 A trochoid curve is the locus of a fixed point as a circle rolls without slipping along a straight line. Depending on the position of the point a trochoid could be further classified as curtate cycloid (the point is internal to the circle), cycloid (the point is on the circle), and prolate cycloid (the point is outside the circle). Cycloid, curtate cycloid and prolate cycloid An interesting activity during the study of trochoids is to draw them using software tools. -
Hypocycloid Motion in the Melvin Magnetic Universe
Hypocycloid motion in the Melvin magnetic universe Yen-Kheng Lim∗ Department of Mathematics, Xiamen University Malaysia, 43900 Sepang, Malaysia May 19, 2020 Abstract The trajectory of a charged test particle in the Melvin magnetic universe is shown to take the form of hypocycloids in two different regimes, the first of which is the class of perturbed circular orbits, and the second of which is in the weak-field approximation. In the latter case we find a simple relation between the charge of the particle and the number of cusps. These two regimes are within a continuously connected family of deformed hypocycloid-like orbits parametrised by the magnetic flux strength of the Melvin spacetime. 1 Introduction The Melvin universe describes a bundle of parallel magnetic field lines held together under its own gravity in equilibrium [1, 2]. The possibility of such a configuration was initially considered by Wheeler [3], and a related solution was obtained by Bonnor [4], though in today’s parlance it is typically referred to as the Melvin spacetime [5]. By the duality of electromagnetic fields, a similar solution consisting of parallel electric fields can be arXiv:2004.08027v2 [gr-qc] 18 May 2020 obtained. In this paper, we shall mainly be interested in the magnetic version of this solution. The Melvin spacetime has been a solution of interest in various contexts of theoretical high-energy physics. For instance, the Melvin spacetime provides a background of a strong magnetic field to induce the quantum pair creation of black holes [6, 7]. Havrdov´aand Krtouˇsshowed that the Melvin universe can be constructed by taking the two charged, accelerating black holes and pushing them infinitely far apart [8]. -
The Math in “Laser Light Math”
The Math in “Laser Light Math” When graphed, many mathematical curves are beautiful to view. These curves are usually brought into graphic form by incorporating such devices as a plotter, printer, video screen, or mechanical spirograph tool. While these techniques work, and can produce interesting images, the images are normally small and not animated. To create large-scale animated images, such as those encountered in the entertainment industry, light shows, or art installations, one must call upon some unusual graphing strategies. It was this desire to create large and animated images of certain mathematical curves that led to our design and implementation of the Laser Light Math projection system. In our interdisciplinary efforts to create a new way to graph certain mathematical curves with laser light, Professor Lessley designed the hardware and software and Professor Beale constructed a simplified set of harmonic equations. Of special interest was the issue of graphing a family of mathematical curves in the roulette or spirograph domain with laser light. Consistent with the techniques of making roulette patterns, images created by the Laser Light Math system are constructed by mixing sine and cosine functions together at various frequencies, shapes, and amplitudes. Images created in this fashion find birth in the mathematical process of making “roulette” or “spirograph” curves. From your childhood, you might recall working with a spirograph toy to which you placed one geared wheel within the circumference of another larger geared wheel. After inserting your pen, then rotating the smaller gear around or within the circumference of the larger gear, a graphed representation emerged of a certain mathematical curve in the roulette family (such as the epitrochoid, hypotrochoid, epicycloid, hypocycloid, or perhaps the beautiful rose family). -
MTEC 474B Electronic Synthesizer Techniques S 2021
Electronic Synthesizer Techniques, MTEC 474b Course Syllabus Spring 2021 Timo Preece E-mail: [email protected] Website: gravityterminal.com Mailbox: TMC G118 Office Hours: TBA Course Goals It is the goal of this course that each student—upon successful completion—gains a theoretical and practical understanding of intermediate electronic synthesizer and sampling techniques. These will include a working knowledge of electronic synthesizers, effect processors and the components of the synthesis process. To reach this goal, each student must successfully accomplish the objectives described below. Course Objectives • Using contemporary production techniques, demonstrate proficiency of fundamental concepts in sound theory by applying them to practical real-world examples • Create original presets, patches and recorded audio sound-sets using electronic synthesis including: subtractive, additive, physical modeling, frequency modulation, sample-based, wavetable and granular • Synthesize, process and catalog sounds for personal music libraries • Describe, explain, and demonstrate the process of making musical sounds with electronic synthesizers and various additional tools and technology • Create and produce musical compositions and arrangements with synthesized and processed sounds Requirements, Exams and Grading Information Student assessment in MTEC 474b will consist of exercises, mid-term, final project and a final exam. Unless otherwise noted, all exercises are due one week from the date assigned. All assignments are to be turned in to the class DropBox, accessed through Blackboard, and must carefully follow file naming conventions, file management and format guidelines. The final project will consist of a musical sound design sequence, 3 to 4 minutes in length. Students will document their workflow and explain it in a, no longer than 7 minute, screen capture. -
Engineering Curves and Theory of Projections
ME 111: Engineering Drawing Lecture 4 08-08-2011 Engineering Curves and Theory of Projection Indian Institute of Technology Guwahati Guwahati – 781039 Distance of the point from the focus Eccentrici ty = Distance of the point from the directric When eccentricity < 1 Ellipse =1 Parabola > 1 Hyperbola eg. when e=1/2, the curve is an Ellipse, when e=1, it is a parabola and when e=2, it is a hyperbola. 2 Focus-Directrix or Eccentricity Method Given : the distance of focus from the directrix and eccentricity Example : Draw an ellipse if the distance of focus from the directrix is 70 mm and the eccentricity is 3/4. 1. Draw the directrix AB and axis CC’ 2. Mark F on CC’ such that CF = 70 mm. 3. Divide CF into 7 equal parts and mark V at the fourth division from C. Now, e = FV/ CV = 3/4. 4. At V, erect a perpendicular VB = VF. Join CB. Through F, draw a line at 45° to meet CB produced at D. Through D, drop a perpendicular DV’ on CC’. Mark O at the midpoint of V– V’. 3 Focus-Directrix or Eccentricity Method ( Continued) 5. With F as a centre and radius = 1–1’, cut two arcs on the perpendicular through 1 to locate P1 and P1’. Similarly, with F as centre and radii = 2– 2’, 3–3’, etc., cut arcs on the corresponding perpendiculars to locate P2 and P2’, P3 and P3’, etc. Also, cut similar arcs on the perpendicular through O to locate V1 and V1’. 6. Draw a smooth closed curve passing through V, P1, P/2, P/3, …, V1, …, V’, …, V1’, … P/3’, P/2’, P1’. -
Product Informations Product Informations
Product Informations Product Informations A WORD ABOUT SYNTHESIS A - Substractive (or analog) synthesis (usually called “Analog” because it was the synthesis you could find on most of the first analog synthesizers). It starts out with a waveform rich in harmonics, such as a saw or square wave, and uses filters to make the finished sound. Here are the main substractive synthesis components : Oscillators: The device creating a soundwave is usually called an oscillator. The first synthesizers used analog electronic oscillator circuits to create waveforms. These units are called VCO's (Voltage Controlled Oscillator). More modern digital synthesizers use DCO's instead (Digitally Controlled Oscillators). A simple oscillator can create one or two basic waveforms - most often a sawtooth-wave - and a squarewave. Most synthesizers can also create a completely random waveform - a noise wave. These waveforms are very simple and completely artificial - they hardly ever appear in the nature. But you would be surprised to know how many different sounds can be achieved by only using and combining these waves. 2 / 17 Product Informations Filters: To be able to vary the basic waveforms to some extent, most synthesizers use filters. A filter is an electronic circuit, which works by smoothing out the "edges" of the original waveform. The Filter section of a synthesizer may be labled as VCF (Voltage Controlled Filter) or DCF (Digitally Controlled Filter). A Filter is used to remove frequencies from the waveform so as to alter the timbre. •Low-Pass Filters allows the lower frequencies to pass through unaffected and filters out (or blocks out) the higher frequencies.