Table2. 2. Each note consists of three partials. If the sequence is played ascending, then the ?rst virtual pitch tends to be perceived, whereas if played descending, the second, lower virtual pitch tends to be heard. Only one virtual pitch is audible at a time. This can be heard in sound examples S: 6] and S: 7]. Note First Second Third Virtual Pitch Virtual Pitch partial partial partial ascending descending 1 600 800 1000 200. 0 158. 9 2 620 820 1020 205. 2 163. 0 3 640 840 1040 210. 4 167. 1 4 660 860 1060 215. 6 171. 2 5 680 880 1080 220. 9 175. 3 6 700 900 1100 226. 1 179. 4 7 720 920 1120 231. 3 183. 6 8 740 940 1140 236. 6 187. 7 9 760 960 1160 241. 8 191. 8 10 780 980 1180 247. 0 195. 9 11 800 1000 1200 252. 2 200. 0 Pitch and virtual pitch are properties of a single sound. For instance, a chord played by the violin, viola, and cello of a string quartet is not usually thoughtofashavingapitch;rather, pitchisassociatedwitheachinstrumental tone separately. Thus, determining the pitch or pitches of a complex sound source requires that it ?rst be partitioned into separate perceptual entities. Only when a cluster of partials fuse into a single sound can it be assigned a pitch. When listening analytically, for instance, there may be more "notes" presentthaninthesamesoundwhenlisteningholistically.

The only things truly universal in music are those that are based on biological and/or perceptual facts. Tuning Timbre Spectrum Scale focuses on perceptions of consonance and dissonance, which are defined in the Harvard Dictionary of Music: "Consonance is used to describe the agreeable effect produced by certain intervals as against the disagreeable effect produced others. Consonance and dissonance are the very foundation of harmonic music... consonance represents the element of smoothness and repose, while dissonance represents the no less important elements of roughness and irregularity.a Tuning Timbre Spectrum Scale begins by asking (and answering) the question: How can we build a device to measure consonance and dissonance? The remainder of the book describes the impact of such a "dissonance metera on music theory, on synthesizer design, on the construction of musical scales and tunings, on the design of musical instruments, and introduces related compositional techniques and new methods of musicological analyses. This new and greatly revised edition of William Sethares' classic book includes an attached CD-ROM that contains over three hours of sound examples that demonstrate the ideas in action, as well as computer programs that enable readers to conduct their own explorations. A new chapter contains a detailed explanation of how the software works. It incorporates several important simplifications over the full presentation in the current Chapter 7 in order to allow it to function in real time. Another new chapter describes the various ways that the software can be used. New sections throughout the book bring it up to date with the current state of the subject. Tuning TimbreSpectrum Scale offers a unique analysis of the relationship between the structure of sound and the structure of scale and will be useful to musicians and composers who use inharmonic tones and sounds. This includes a large percentage of people composing and performing with modern musical synthesizers. It will be of use to arrangers, musicologists, and others interested in musical analysis. Tuning Timbre Spectrum Scale provides a unique approach to working with environmental sounds, and there are clear applications for the use of inharmonic sounds in film scoring. The book will also be of interest to engineers and others interested in the design of audio devices such as musical synthesizers, special effects devices, and keyboards.

Have you ever wanted to know how modern digital communications systems work? Find out with this step-by-step guide to building a complete digital radio that includes every element of a typical, real-world communication system. Chapter by chapter, you will create a MATLAB realization of the various pieces of the system, exploring the key ideas along the way, as well as analyzing and assessing the performance of each component. Then, in the final chapters, you will discover how all the parts fit together and interact as you build the complete receiver. In addition to coverage of crucial issues, such as timing, carrier recovery and equalization, the text contains over 400 practical exercises, providing invaluable preparation for industry, where wireless communications and software radio are becoming increasingly important. A variety of extra resources are also provided online, including lecture slides and a solutions manual for instructors.

Have you ever wanted to know how modern digital communications systems work? Find out with this step-by-step guide to building a complete digital radio that includes every element of a typical, real-world communication system. Chapter by chapter, you will create a MATLAB realization of the various pieces of the system, exploring the key ideas along the way, as well as analyzing and assessing the performance of each component. Then, in the final chapters, you will discover how all the parts fit together and interact as you build the complete receiver. In addition to coverage of crucial issues, such as timing, carrier recovery and equalization, the text contains over 400 practical exercises, providing invaluable preparation for industry, where wireless communications and software radio are becoming increasingly important. A variety of extra resources are also provided online, including lecture slides and a solutions manual for instructors.