350. Sound Synthesis: Musical Acoustics

You are here: Home / 350. Sound Synthesis: Musical Acoustics

350. Sound Synthesis: Musical Acoustics

 

 

CATEGORY:Music, Mastering,Mixing & Writing – 400 Courses

COURSE NUMBER: 350

FEES: 555/- INR only

CERTIFICATE VALIDITY: Lifetime

CERTIFICATES DELIVERY: In 48 hours

BOOKS/ MANUALS: Pages

Syllabus

Preface ix
1 Sound synthesis and physical modeling 1
1.1 Abstract digital sound synthesis 2
1.2 Physical modeling 8
1.3 Physical modeling: a larger view 18
2 Time series and difference operators 25
2.1 Time series 26
2.2 Shift, difference, and averaging operators 27
2.3 Frequency domain analysis 31
2.4 Energetic manipulations and identities 38
2.5 Problems 42
3 The oscillator 45
3.1 The simple harmonic oscillator 46
3.2 A finite difference scheme 49
3.3 Other schemes 55
3.4 Lumped mass–spring networks 61
3.5 Loss 63
3.6 Sources 67
3.7 Problems 68
3.8 Programming exercises 71
4 The oscillator in musical acoustics 73
4.1 Nonlinear oscillators 74
4.2 Lossless oscillators 74
4.3 Lossy oscillators 82
4.4 Problems 87
4.5 Programming exercises 90
5 Grid functions and finite difference operators in 1D 93
5.1 Partial differential operators and PDEs 93
5.2 Grid functions and difference operators 98
5.3 Coordinate changes 112
5.4 Problems 113
5.5 Programming exercises 115
6 The 1D wave equation 117
6.1 Definition and properties 118
6.2 A simple finite difference scheme 131
6.3 Other schemes 148
6.4 Modal synthesis 152
6.5 Loss 153
6.6 Comparative study I 155
6.7 Problems 157
6.8 Programming exercises 161
7 Linear bar and string vibration 163
7.1 The ideal uniform bar 163
7.2 Stiff strings 174
7.3 Frequency-dependent loss 177
7.4 Coupling with bow models 180
7.5 Coupling with hammer and mallet models 183
7.6 Multiple strings 185
7.7 Prepared strings 187
7.8 Coupled bars 194
7.9 Helical springs 199
7.10 Spatial variation and stretched coordinates 206
7.11 Problems 213
7.12 Programming exercises 218
8 Nonlinear string vibration 221
8.1 The Kirchhoff–Carrier string model 221
8.2 General planar nonlinear string motion 232
8.3 Non-planar string motion 242
8.4 Problems 244
8.5 Programming exercises 247
9 Acoustic tubes 249
9.1 Webster’s equation 249
9.2 The vocal tract and speech synthesis 258
9.3 Reed wind instruments 265
9.4 Other wind instruments 278
9.5 Problems 278
9.6 Programming exercises 283
10 Grid functions and finite difference operators in 2D 287
10.1 Partial differential operators and PDEs in two space variables 288
10.2 Grid functions and difference operators: Cartesian coordinates 291
10.3 Grid functions and difference operators: radial coordinates 299
10.4 Problems 301
10.5 Programming exercises 303
11 The 2D wave equation 305
11.1 Definition and properties 305
11.2 A simple finite difference scheme 310
11.3 Other finite difference schemes 312
11.4 Digital waveguide meshes 315
11.5 Lumped mass–spring networks 316
11.6 Modal synthesis 317
11.7 Finite difference schemes in radial coordinates 318
11.8 Comparative study II 321
11.9 Problems 322
11.10 Programming exercises 327
12 Linear plate vibration 331
12.1 The Kirchhoff thin plate model 331
12.2 Loss and tension 341
12.3 Plate excitation 341
12.4 Plate–string connections 346
12.5 Anisotropic plates 349
12.6 The thin plate in radial coordinates 352
12.7 Problems 355
12.8 Programming exercises 357
13 Nonlinear plate vibration 361
13.1 The Berger plate model 361
13.2 The von Karm ́ an plate model 363 ́
13.3 Spherical shell vibration 371
13.4 Problems 376
13.5 Programming exercises 378
14 Conclusion and perspectives 379
14.1 A family of musical systems 379
14.2 Comparative study III 382
14.3 Beyond finite difference methods 386
A Matlab code examples 391
A.1 The simple harmonic oscillator 391
A.2 Hammer collision with mass–spring system 392
A.3 Bowed mass–spring system 393
A.4 The 1D wave equation: finite difference scheme 394
A.5 The 1D wave equation: digital waveguide synthesis 395
A.6 The 1D wave equation: modal synthesis 397
A.7 The ideal bar 398
A.8 The stiff string 399
A.9 The Kirchhoff–Carrier equation 401
A.10 Vocal synthesis 402
A.11 The 2D wave equation 403
A.12 Thin plate 405
B List of symbols 407
Bibliography 411
Index 427

……………………………………………………………………………………………………………………………………………………………………………………………………………………

 

Medifit  Courses Demo Certificate 

48 hours delivery

| International acceptance | Medical based | Job oriented | Lifetime validity | Most economical |

 

555 INR Demo Certificate – 2 months duration

Demo Certificate – 6 months duration

48 hours delivery after fees payment

48 hours delivery after fees payment

 

Medifit 48 hours Delivery

  Get your Certificates delivered by online mode in 48 hours after Fees payment. We try to deliver certificates in 24 hours, but the committed delivery hours are 48. Its,

Pay Today &
get Tomorrow

procedure, only by Medifit.

LIFETIME VALIDITY

Medifit issues Lifetime validity certificates for all Online Courses provided. No need to renew the certificates every 2 or 3 years. All Courses Certificates of Medifit are having Lifetime Validity. No need to renew these certificates every 2 or 3 years.

 

What makes the certificates of Medifit to get it recognized Internationally?

Vast number of students applying for Job in international market of Fitness through Medifits Online Courses Certificates. And most importantly, the Medical standards maintained, helps to acquire jobs internationally. This gives very strong International acceptance to Certificates of Medifit Courses.

 

ABOUT MEDIFIT ACADEMY CERTIFICATION COURSE:

Medifit Education Online Academy is an innovative, digital and engaging education platform that delivers fast track accredited courses and skills development courses instantly online, with no time limits, enabling individuals to study anywhere and anytime. We are proud to offer international standard courses that have helped our students build their careers across the globe.

HOW DO MEDIFIT ONLINE CERTIFICATE COURSES HELP?

Short term Professional Courses International Standards courses Opens Global opportunities Career defining Courses Skill Development Programmes Knowledge in short span Learn at your own pace Certification of Completion Immediate Earning Opportunities Positive Social Impact Optimistic Psychological Benefits Improved Standard of Living Study from anywhere & anytime Very Economical Fees

 

 

CATEGORY:Music, Mastering,Mixing & Writing – 400 Courses

COURSE NUMBER: 30

FEES: 555/- INR only

CERTIFICATE VALIDITY: Lifetime

CERTIFICATES DELIVERY: In 48 hours

……………………………………………………………………………………………………………………………………………………………………………………………………………………

 

Medifit  Courses Demo Certificate 

48 hours delivery

| International acceptance | Medical based | Job oriented | Lifetime validity | Most economical |

 

555 INR Demo Certificate – 2 months duration

Demo Certificate – 6 months duration

48 hours delivery after fees payment

48 hours delivery after fees payment

 

Medifit 48 hours Delivery

  Get your Certificates delivered by online mode in 48 hours after Fees payment. We try to deliver certificates in 24 hours, but the committed delivery hours are 48. Its,

Pay Today &
get Tomorrow

procedure, only by Medifit.

LIFETIME VALIDITY

Medifit issues Lifetime validity certificates for all Online Courses provided. No need to renew the certificates every 2 or 3 years. All Courses Certificates of Medifit are having Lifetime Validity. No need to renew these certificates every 2 or 3 years.

 

What makes the certificates of Medifit to get it recognized Internationally?

Vast number of students applying for Job in international market of Fitness through Medifits Online Courses Certificates. And most importantly, the Medical standards maintained, helps to acquire jobs internationally. This gives very strong International acceptance to Certificates of Medifit Courses.

 

ABOUT MEDIFIT ACADEMY CERTIFICATION COURSE:

Medifit Education Online Academy is an innovative, digital and engaging education platform that delivers fast track accredited courses and skills development courses instantly online, with no time limits, enabling individuals to study anywhere and anytime. We are proud to offer international standard courses that have helped our students build their careers across the globe.

HOW DO MEDIFIT ONLINE CERTIFICATE COURSES HELP?

Short term Professional Courses International Standards courses Opens Global opportunities Career defining Courses Skill Development Programmes Knowledge in short span Learn at your own pace Certification of Completion Immediate Earning Opportunities Positive Social Impact Optimistic Psychological Benefits Improved Standard of Living Study from anywhere & anytime Very Economical Fees