Temperament, Music Theory and Tuning

Book description
J. Javier Goldáraz, profesor de Organología y Acústica en el Conservatorio Superior de Música de Madrid, presenta una guía histórica detallada y en su propio contexto de aquellos sistemas de afinación y temperamento que más éxito han tenido a lo largo de nuestra historia musical, algunos de los cuales están en uso hoy día. J. Javier Goldáraz Gainza es profesor de Organología y Acústica en el Conservatorio Superior de Música de Madrid

Rústica con solapas: 271 pages.
Publisher: Alianza Editorial ( Colección ALIANZA MÚSICA / Madrid)
Language: Castellano

Book description
This is a practical handbook for every clavichord player, amateur or professional; written in a conversational style, it assumes no previous knowledge or experience. Every aspect of caring for a clavichord is covered, including: how to prepare the instrument for tuning; how to choose and set a temperament by ear or machine; how to hear beats; how to tune and check octaves; how to replace broken strings; how to deal with sticking keys and extraneous noise; and where to obtain tools and supplies. The theory and history of temperament are explained in plain language without any complex mathematics, and twenty detailed schemes for tuning various temperaments are presented, including special schemes for fretted clavichords. There is a comprehensive glossary of technical terms. The first edition, which appeared in 2007, was based on a series of articles published in the British Clavichord Society Newsletter between 1995 and 2001. In this second edition, the whole text has been carefully revised. Some minor errors have been corrected, and a few additional comments, suggested by experience, have been added; one tuning scheme has been completely revised; the bibliography and the information on suppliers of materials and equipment have been brought up to date. The author, Peter Bavington, has been making and caring for keyboard instruments for over twenty-five years, and recently he has concentrated exclusively on the clavichord. He has worked as a professional tuner, and has taught tuning to classes and individual pupils. He also has a wide experience of repairing and regulating clavichords, and knows pretty well every kind of trouble they can get into: experience which he draws on in this book. He lives and works in London.

: pages.
Publisher: Keyword Press (June 2, 2007)
Language:

Book description
This is a practical handbook for every clavichord player, amateur or professional; written in a conversational style, it assumes no previous knowledge or experience. Every aspect of caring for a clavichord is covered, including: how to prepare the instrument for tuning; how to choose and set a temperament by ear or machine; how to hear beats; how to tune and check octaves; how to replace broken strings; how to deal with sticking keys and extraneous noise; and where to obtain tools and supplies. The theory and history of temperament are explained in plain language without any complex mathematics, and twenty detailed schemes for tuning various temperaments are presented, including special schemes for fretted clavichords. There is a comprehensive glossary of technical terms. The first edition, which appeared in 2007, was based on a series of articles published in the British Clavichord Society Newsletter between 1995 and 2001. In this second edition, the whole text has been carefully revised. Some minor errors have been corrected, and a few additional comments, suggested by experience, have been added; one tuning scheme has been completely revised; the bibliography and the information on suppliers of materials and equipment have been brought up to date. The author, Peter Bavington, has been making and caring for keyboard instruments for over twenty-five years, and recently he has concentrated exclusively on the clavichord. He has worked as a professional tuner, and has taught tuning to classes and individual pupils. He also has a wide experience of repairing and regulating clavichords, and knows pretty well every kind of trouble they can get into: experience which he draws on in this book. He lives and works in London.

Paperback: 224 pages.
Publisher: Keyword Press; 2nd Revised edition edition (September 20, 2010)
Language:

Book description
A discussion on how to needle, file, and voice a new set of hammers. 16 instructive photographs.

: 32 pages.
Publisher: Verlag das Musikinstrument (1968)
Language:

Book description
Juan María Gallaga Sabín explica magistralmente en este libro de texto y consulta la Acústica musical, o parte de la música que trata de las relaciones entre los datos científicos y su aplicación práctica y técnica en el arte, adentrándose en los principios básicos de los cuatro sistemas de afinación principales, el de Pitágoras, el de Giuseppe Zarlino, el de William Holder y el temperado, todos ellos con representación en los instrumentos musicales en uso, y obteniendo los valores acústico-musicales de gran cantidad de intervalos en cada uno de los sistemas, entre lo que, como es lógico, se incluyen las doce clases de comas acústicas existentes, o intervalos más pequeños que el semitono. El libro incorpora una gran profusión de cálculos acústicos (muchos de ellos inéditos), con la particularidad de que no aparece en él un solo resultado -ya sea expresado en quebrados, en forma de potencia o en savarts- que no vaya acompañado de su correspondiente demostración matemática.

Rústica: 106 pages.
Publisher: Ediciones Beta III Milenio, S.L.
Language: Castellano

Book description
La supuesta facilidad con que hoy en día una persona, con muy poco o escaso entrenamiento técnico-auditivo, puede realizar la afinación de un piano utilizando la asistencia de instrumental electrónico o de un software de computadora especialmente diseñado para ello, ha dado por resultado que la gran mayoría de los afinadores de pianos autodenominados “profesionales”, solo hayan podido simular serlo casi sin dedicarse a aprender a realizar la actividad auralmente y, por ende, sin someterse al riguroso entrenamiento que tal aprendizaje requiere.Muchos pueden celebrar esto como un logro de la tecnología, pero lamento decirles que la finalidad de este trabajo radica, justamente, en tratar de brindar apoyo a la conjetura que lleva como título y subtítulo este libro: que hay (y siempre habrá) una primacía cualitativa de la afinación aural de pianos por sobre la electrónica o la asistida por computadora. La riqueza de la creatividad y de la inteligencia humana puestas en acción a la hora de afinar un piano en forma aural no podrá nunca ser reemplaza por actividades análogas realizadas por computadoras o por cualquier otro tipo de aparatos.Hoy en día encontramos a la mayoría de los afinadores de pianos utilizando casi exclusivamente el tipo de instrumental electrónico o software de computadora mencionados y, con escaso o nulo entrenamiento en afinación de pianos estrictamente aural, los resultados de su trabajo dejan mucho que desear. Muchos músicos de escaso entrenamiento auditivo y de torpe sensibilidad musical han sido, tal vez sin saberlo, cómplices de esto, al darles cabida en sus vidas musicales al trabajo de afinadores de piano escasamente entrenados, muchos de los cuales, si les quitáramos su instrumental electrónico de soporte, no podrían afinar torpemente más que unas pocas notas. Por tal motivo, creemos que un trabajo de revalorización de la afinación aural de pianos debe ser acometido con urgencia, trabajo sobre el cual intentaremos trazar algunas líneas generales y fundar algunos pilares conceptuales mediante el presente trabajo.Tenemos la esperanza que las páginas de este texto puedan arrojar luz sobre este controvertido tema a la vez que permita ayudar a recuperar la calidad de los afinadores profesionales de piano a los niveles de excelencia de antaño.

: 248 pages.
Publisher: Editorial Dunken (2014)
Language: Castellano

Book description

Unknown Binding: 30 pages.
Publisher: Werkplaats voor clavecimbelbouw (1974)
Language: English

Book description
A captivating look at how musical temperament evolved, and how we could (and perhaps should) be tuning differently today. Ross W. Duffin presents an engaging and elegantly reasoned exposé of musical temperament and its impact on the way in which we experience music. A historical narrative, a music theory lesson, and, above all, an impassioned letter to musicians and listeners everywhere, How Equal Temperament Ruined Harmony possesses the power to redefine the very nature of our interactions with music today. For nearly a century, equal temperament—the practice of dividing an octave into twelve equally proportioned half-steps—has held a virtual monopoly on the way in which instruments are tuned and played. In his new book, Duffin explains how we came to rely exclusively on equal temperament by charting the fascinating evolution of tuning through the ages. Along the way, he challenges the widely held belief that equal temperament is a perfect, "naturally selected" musical system, and proposes a radical reevaluation of how we play and hear music. 48 illustrations.

Hardcover: 160 pages.
Publisher: W. W. Norton
Language:

Book description
By a dedicated member of the Piano Technicians Guild. Designed as a textbook covering all phases of the piano industry from the technician's point of view. Contains 18 chapters, 375 pages with over 270 illustrations, charts and pictures. A few interesting chapter headings are: Elements of Sound Relationships," "Beats," "Techniques of the Tuning Hammer," "Keeping of Records." The novice and the most experienced technician will benefit from having this book in his library.

: pages.
Publisher: John W. Travis (1974)
Language:

Book description
By a dedicated member of the Piano Technicians Guild. Designed as a textbook covering all phases of the piano industry from the technician's point of view. Contains 18 chapters, 375 pages with over 270 illustrations, charts and pictures. A few interesting chapter headings are: Elements of Sound Relationships," "Beats," "Techniques of the Tuning Hammer," "Keeping of Records." The novice and the most experienced technician will benefit from having this book in his library.

Paperback: pages.
Publisher: Self Published; Second Print edition (1974)
Language:

Book description

Unknown Binding: pages.
Publisher:
Language: English

Book description
Compares the basic scale structures of India, China, and ancient Greece, relating each to the philosophical worldview of its parent culture.

Hardcover: 192 pages.
Publisher: Inner Traditions; Rep Sub edition (August 1, 1995)
Language:

Book description
This multimedia product (book and CD-ROM) lets the reader investigate the mathematical foundations of musical tuning systems as theory and as audible experience. The embedded acoustical examples help to establish immediate connection between the formulas and the acoustical characteristics of different musical scales. The musical temperaments covered in the document are Pure, Pythagorean, Meantone, and Equal, the historically most important tuning systems. For each one of these temperaments the construction principles are explained in detail and with interactive visual aids...

: 77 pages.
Publisher: Springer; 1997 edition (March 4, 2004)
Language:

Book description
"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music--a commonsense, self-contained introduction for the nonspecialist reader.Volume 2 of Musimathics continues the story of music engineering begun in volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The material in volume 1 is all preparatory to the subjects presented in this volume, although either volume can be read independently. Cross-references to volume 1 are provided for concepts introduced in the earlier volume, and additional mathematical orientation is offered where necessary. The topics are all subjects that contemporary composers, musicians, and music engineers have found to be important. The examples given are all practical problems in music and audio. The level of scholarship and the pedagogical approach also make Musimathics ideal for classroom use. Additional material can be found at a companion web site.

Hardcover: 562 pages.
Publisher: Mit Pr (1 de mayo de 2007)
Language: English

Book description
"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music--a commonsense, self-contained introduction for the nonspecialist reader.Volume 2 of Musimathics continues the story of music engineering begun in volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The material in volume 1 is all preparatory to the subjects presented in this volume, although either volume can be read independently. Cross-references to volume 1 are provided for concepts introduced in the earlier volume, and additional mathematical orientation is offered where necessary. The topics are all subjects that contemporary composers, musicians, and music engineers have found to be important. The examples given are all practical problems in music and audio. The level of scholarship and the pedagogical approach also make Musimathics ideal for classroom use. Additional material can be found at a companion web site.

Softcover: 584 pages.
Publisher: The Mit Press (1 de septiembre de 2011)
Language: English

Book description
"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music--a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In this volume, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Musimathics is carefully structured so that new topics depend strictly on topics already presented, carrying the reader progressively from basic subjects to more advanced ones. Cross-references point to related topics and an extensive glossary defines commonly used terms. The book explains the mathematics and physics of music for the reader whose mathematics may not have gone beyond the early undergraduate level. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The topics are all subjects that contemporary composers, musicians, and musical engineers have found to be important. The examples given are all practical problems in music and audio. The level of scholarship and the pedagogical approach also make Musimathics ideal for classroom use. Additional material can be found at a companion web site.

Hardcover: 482 pages.
Publisher: Mit Pr (1 de junio de 2006)
Language: English

Book description
"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music--a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In this volume, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Musimathics is carefully structured so that new topics depend strictly on topics already presented, carrying the reader progressively from basic subjects to more advanced ones. Cross-references point to related topics and an extensive glossary defines commonly used terms. The book explains the mathematics and physics of music for the reader whose mathematics may not have gone beyond the early undergraduate level. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The topics are all subjects that contemporary composers, musicians, and musical engineers have found to be important. The examples given are all practical problems in music and audio. The level of scholarship and the pedagogical approach also make Musimathics ideal for classroom use. Additional material can be found at a companion web site.

Softcover: 504 pages.
Publisher: The Mit Press; Edición: Reprint (1 de septiembre de 2011)
Language:

Book description
This book is the classic manual for Piano Technicians and enthusiasts the world over. Here is all the information essential to the art of restoring and maintaining a piano; from minor repairs and cleaning to major tuning and complete restoration techniques. A fine, specific reference, with hundreds of illustrations and photos.

: 354 pages.
Publisher: L'Entretemps éditions (15 avril 2005)
Language:

Book description
This book is the classic manual for Piano Technicians and enthusiasts the world over. Here is all the information essential to the art of restoring and maintaining a piano; from minor repairs and cleaning to major tuning and complete restoration techniques. A fine, specific reference, with hundreds of illustrations and photos.

Paperback: pages.
Publisher:
Language:

Book description

: 134 pages.
Publisher: American Printing House for the Blind (1982)
Language: English

Book description
This book explains a simple straight forward method of setting the basic equal temperament in tuning a piano- without higher mathematics.

: 135 pages.
Publisher: Stauffer Pr (December 29, 1989)
Language:

Book description

Paperback: 202 pages.
Publisher: Dover Publications; First Thus edition (June 1, 1975)
Language: English

Book description

: 1288 pages.
Publisher: Tesis. Université de Montréal
Language:

Book description
The author is a Craftsman member of the Piano Technicians Guild, and a past president of the Connecticut Chapter, with more than forty years of tuning experience. Here is a fresh and authoritative text in ten chapters. A few interesting items covered include: HOW TO-- cope with harmonic problems in the little piano--use a tuning touch tester-tune new strings-- raise pitch to A-440-- Lower pitch to A-440-- Finish tune any piano to sound its best-- tune two or more pianos together. Published by American Piano Supply Co. -- 127 pages

: 136 pages.
Publisher: American Piano Supply Co; 2nd edition (1969)
Language:

Book description
The author is a Craftsman member of the Piano Technicians Guild, and a past president of the Connecticut Chapter, with more than forty years of tuning experience. Here is a fresh and authoritative text in ten chapters. A few interesting items covered include: HOW TO-- cope with harmonic problems in the little piano--use a tuning touch tester-tune new strings-- raise pitch to A-440-- Lower pitch to A-440-- Finish tune any piano to sound its best-- tune two or more pianos together. Published by American Piano Supply Co. -- 127 pages

: pages.
Publisher: New Era Print. Co; First Edition edition (1966)
Language:

Book description
Monographs By Alexander J. Ellis & Arthur Mendel (1948; 1955). With errata sheet. Este libro es una recopilación de artículos escritos por los autores. La mayor parte están en inglés, pero hay alguno en alemán.

Hardcover: 238 pages.
Publisher: Perseus Books
Language: English-German

Book description
Monographs By Alexander J. Ellis & Arthur Mendel (1948; 1955). With errata sheet. Este libro es una recopilación de artículos escritos por los autores. La mayor parte están en inglés, pero hay alguno en alemán.

Hardcover: 238 pages.
Publisher: Frits Knuf
Language: English-German

Book description
Monographs By Alexander J. Ellis & Arthur Mendel (1948; 1955). With errata sheet. Este libro es una recopilación de artículos escritos por los autores. La mayor parte están en inglés, pero hay alguno en alemán.

Hardcover: 238 pages.
Publisher: Frits Knuf, Netherlands
Language: English-German

Book description
Monographs By Alexander J. Ellis & Arthur Mendel (1948; 1955). With errata sheet. Este libro es una recopilación de artículos escritos por los autores. La mayor parte están en inglés, pero hay alguno en alemán.

Hardcover: 238 pages.
Publisher: Frits Knuf- Amsterdam
Language: English-German

Book description
Rodney Myrvaagnes is a harpsichord maker

Unknown Binding: pages.
Publisher: Myrvaagnes (1978)
Language: English

Book description
Isacoff, editor-in-chief of Piano Today magazine, tells the worthy tale of how musical temperament the familiar, seemingly fixed relationships between notes on an instrumental scale came to be taken for granted. After centuries of an accepted belief in the mathematical and divine governance of music, the 17th century saw the growth of a fierce debate over experimental new tuning methods. In the 18th century, the modern keyboard allowed for a new kind of tuning, known as equal temperament, whereby each pitch is equally distanced. New musical possibilities opened up, changing composition forever. Isacoff traces music theory contributions by da Vinci, Newton, Descartes, Kepler and Rameau. Unfortunately, he sometimes clumsily attempts to keep his audience's attention with irrelevant, if salacious, gossip e.g., philosopher Robert Hooke "recorded his orgasms in a diary," and King Louis XIV refused to eat with a fork. Meanwhile, he gives relatively short shrift to Kepler and Galileo. His ambitious historical canvas uses extensive secondary sources, but there are research gaps, such as his outdated portrait of Isaac Newton as a total "ascetic." Nevertheless, this harmonics drama will excite music geeks and music historians. (Nov. 24)Forecast: Knopf's prestige guarantees sales to major music collections, and Isacoff's national media appearances (NPR, etc.) may mean good general sales.

Paperback: 288 pages.
Publisher: Vintagebooks
Language:

Book description
Involving mathematics, philosophy, aesthetics, religion, politics, and physics, Stuart Isacoff's Temperament invokes the tone of a James Burke documentary. However, the focus is not on a modern invention, but rather a modern convention: that of tuning keyboards so that every key is equally in tune--and equally out of tune.

Hardcover: 272 pages.
Publisher: Knopf; 1st edition (November 13, 2001)
Language:

Book description

Paperback: pages.
Publisher: Hal Leonard Co.
Language:

Book description
This 120 page book is a revised version of the articles of the same title in the Piano Technicians Journal. Roberts develops formulas for calculating tension, inharmonicity, breaking point and elongation for all strings. While this book gives information necessary to design new scales, it helps technicians rescale bad spots at the break of small older grands. Published by The Piano Technicians Guild.

Paperback: pages.
Publisher: THE PIANO TECHNICIANS GUILD FOUNDATION (1990)
Language:

Book description
Parecen acordes para guitarra. Seventeen of the most popular alternate tunings for guitar are explained in depth. History, how to tune, scales, chords, and songs that use the tuning are explained in each chapter. Additional chapters cover slide tunings, Hawaiian slack key tunings, and how to invent your own tuning. Also includes 40 pages of tune and artist listings that use alternate tunings.

Paperback: pages.
Publisher: Accent on Music (December 31, 1995)
Language: English

Book description
A handbook for tuning harpsichords and fortepianos, with tuning techniques and tables of fifteen historical temperaments. While one can purchase electronic tuning aids that provide most of the useful temperaments in this book, one does, by learning to set them by ear, open up a vast field of possibilities. Good harpsichords simply sound best when tuned in a favorable temperament and equal temperament ain't it.

Unknown Binding: 36 pages.
Publisher: Sunbury Press (1981)
Language: English

Book description
Thomas Donahue integrates available historical evidence and modern physical principles—from both musicological and scientific literature—to provide practical quantitative information about the stringing of this instrument. The Harpsichord Stringing Handbook covers the composition and properties of iron and brass wire, the interrelationship of frequency to string length, safety factors involved with stringing, the scaling of string lengths, the calculation of diameters, and the determination of the transition from iron to brass in mixed-strung instruments. Supplemental topics include the elasticity and plasticity of wire, inharmonicity, tension and stress, and the interpolation of string lengths. Additional material includes data on selected historical harpsichords, absolute diameters of historical gauge numbering systems, a generated list of tensile strength values for historical wire, and sizes and tensile strengths of currently available wire. This book offers specific guidance for instrument makers, restorers, curators, technicians, musicians, kit builders, wire manufacturers, and acousticians, filling in critical details that historical treatises and surviving instruments may not clearly address.

Hardcover: 260 pages.
Publisher: Rowman & Littlefield Publishers (June 11, 2015)
Language: English

Book description
The Mathematical Theory of Tone Systems patterns a unified theory defining the tone system in functional terms based on the principles and forms of uncertainty theory. This title uses geometrical nets and other measures to study all classes of used and theoretical tone systems, from Pythagorean tuning to superparticular pentatonics. Hundreds of examples of past and prevalent tone systems are featured. Topics include Fuzziness and Sonance, Wavelets and Nonspecificity, Pitch Granulation and Ambiguity, Equal Temperaments, Mean Tone Systems. Well Tempered Systems, Ptolemy Systems, and more. Appendices include extended lists of tone systems and a catalogue of historical organs with subsemitones.

Hardcover: 380 pages.
Publisher: CRC Press; 1 edition (December 19, 2003)
Language: English

Book description

Hardcover: 236 pages.
Publisher: Merchant Books (September 12, 2006)
Language: English

Book description

Hardcover: 232 pages.
Publisher: Wexford College Press (March 2003)
Language: English

Book description

: pages.
Publisher: UMI (1997)
Language:

Book description

Hardcover: 247 pages.
Publisher: A C N Mackenzie of Ord (May 2007)
Language:

Book description
Published and printed in Germany, 5-1/2" x 8-1/4", 56 page paper back. This treatise on how to tune your harpsichord addresses its advice more to musicians as amateurs and connoisseurs rather than professional tuners. Due to their limited tuning stability, most harpsichords are not regularly serviced by piano technicians. This book will assist in learning proper harpsichord tuning techniques.

Paperback: pages.
Publisher: Bold Strummer (August 1995)
Language:

Book description

Paperback: 54 pages.
Publisher: Bold Strummer Ltd (December 1986)
Language:

Book description
The Treatise on Harpsichord Tuning (1643/50) was the first French document to discuss keyboard performance practice in any detail. Jean Denis was both a harpsichord builder of renown and the organist of a prominent Parisian church, and he thus qualifies as an authority worthy of careful study. The treatise addresses numerous matters of interest to both scholars and performers, including temperament, ornamentation, fugue, and the use of the organ in liturgical practice. Also included in the treatise are a keyboard prelude designed to reveal errors in tuning and two delightful anecdotes attesting to the power of music. The forthright character of Denis's writing lends a unique and distinctly enjoyable tone to the work. Vincent Panetta's edition of Denis's treatise includes a generously annotated English translation of the original, along with an extensive Introduction that places Denis and his treatise in a historical context.

Paperback: 136 pages.
Publisher: Cambridge University Press (April 19, 1987)
Language: English

Book description

Unknown Binding: pages.
Publisher:
Language: English

Book description
The demands of tuning and temperament have challenged musicians from the earliest civilizations onward. This guide surveys these problems, devoting a chapter to each principal theory and offering a complete history of tuning and temperament. Requires minimal background in music theory. Includes 9 figures and 180 tables.

Paperback: 240 pages.
Publisher: Dover Publications (May 20, 2004)
Language: English

Book description

Unknown Binding: 435 pages.
Publisher: Northern Michigan University Press (1977)
Language: English

Book description
Tuning, Timbre, Spectrum, Scale focuses on perceptions of consonance and dissonance, and how these are dependent on timbre. This also relates to musical scale: certain timbres sound more consonant in some scales than others. Sensory consonance and the ability to measure it have important implications for the design of audio devices and for musical theory and analysis. Applications include methods of adapting sounds for arbitrary scales, ways to specify scales for nonharmonic sounds, and techniques of sound manipulation based on maximizing (or minimizing) consonance. Special consideration is given here to a new method of adaptive tuning that can automatically adjust the tuning of a piece based its timbral character so as to minimize dissonance. Audio examples illustrating the ideas presented are provided on an accompanying CD. This unique analysis of sound and scale will be of interest to physicists and engineers working in acoustics, as well as to musicians and psychologists.

Paperback: 345 pages.
Publisher: Springer; 1 edition (January 15, 1998)
Language: English

Book description
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.? TTSS 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 meter' 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.

Hardcover: 430 pages.
Publisher: Springer; 2nd edition (November 4, 2004)
Language:

Book description
This absolutely enormous book is one of the classics on musical temperament; for some reason most such books are out of print and hard to get hold of, and this is no exception. The title has got cut off in the Amazon entry - the full title is: "Tuning: Containing the Perfection of Eighteenth-Century Temperament, the Lost Art of Nineteenth-Century Temperment and the Science of Equal Temperment, Complete with Instructions for Aural and Electronic Tuning." It is a mixture of history of tunings and temperaments, and explicit tuning instructions for various temperaments. An interesting thread running through the book is a detailed argument to the effect that equal temperament was not commonplace until the twentieth century. If you're interested in this book, you might want to get hold of the recordings by Enid Katahn, "Six degrees of Tonality" and "Beethoven in the Temperaments." The former consists of recordings of a number of pieces from different periods of musical history, played on a piano tuned by Edward Foote in temperaments appropriate to the era. Also included are three different takes of the Mozart Fantasie Kv.397 in meantone, "Prelleur" temperament and equal temperament. Other books you might want to check out are Barbour's "Tuning and Temperament" and Dominique Devie's "Le Tempérament Musical."

Hardcover: 821 pages.
Publisher: Michigan State Univ Pr
Language: English