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solomon's music theory & composition resources
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Resources for composers, music theory, and researchers of music, with personal contributions, sound files, analysis, composers and compositions; resources in: Musicology, Music Theory, Music Instruction, Music research, notation, recordings.
Solomon, Solomons, Solomon's, music theory, music compositions, music notation, music, bibliography, Cage, music education, music instruction, Mozart, symmetry, music analysis, music software, ear training,composers, aleatory, sound files, music glossary, Cage, Solomon, midi, contemporary music, books, out of print, cds, scores, sheet music
Solomon, Solomons, Solomon's, music theory, music compositions, music notation, music, bibliography, Cage, music education, music instruction, Mozart, symmetry, music analysis, music software, ear training,composers, aleatory, sound files, music glossary, Cage, Solomon, midi, contemporary music, books, out of print, cds, scores, sheet music
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May 2, 2005
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Other links at Theory, Tuning...
Hans Straub's MaMuTh Page:
What is "MaMuTh"?
This word, invented by Guerino Mazzola, is a shortcut for "Mathematical Music Theory" and stands for any use of mathematical methods in music theory or music generally.
If you think it is rather a prehistoric shaggy elephant and should be spelled differently, you are partly right. To see a picture of the elephant, click here. (But about the spelling, I have to insist...)
About the author
From 1984 to 1989, I studied mathematics and computer science at the Swiss Federal Institute of Technology (ETH). During this time I came in contact with the amazing theories of Guerino Mazzola which fascinated me right away - one reason being the possibility to combine my profession with music, one of my great private passions. I then had the opportunity to write my thesis in this field. Nowadays it has been some years since I left the university and went into software development (the place I work is here); mathematics as well as music are now just hobbies - and not the least important effect of MaMuTh is now that it has inspired me to some of my recent musical compositions - On-To-Sû, So-Na-Ta and Asîmchômsaia are two examples presented on this site. Concerning theory, my writings serve merely as an introduction to the subject; for current academic research I recommend the links section.
What is "MaMuTh"?
This word, invented by Guerino Mazzola, is a shortcut for "Mathematical Music Theory" and stands for any use of mathematical methods in music theory or music generally.
If you think it is rather a prehistoric shaggy elephant and should be spelled differently, you are partly right. To see a picture of the elephant, click here. (But about the spelling, I have to insist...)
About the author
From 1984 to 1989, I studied mathematics and computer science at the Swiss Federal Institute of Technology (ETH). During this time I came in contact with the amazing theories of Guerino Mazzola which fascinated me right away - one reason being the possibility to combine my profession with music, one of my great private passions. I then had the opportunity to write my thesis in this field. Nowadays it has been some years since I left the university and went into software development (the place I work is here); mathematics as well as music are now just hobbies - and not the least important effect of MaMuTh is now that it has inspired me to some of my recent musical compositions - On-To-Sû, So-Na-Ta and Asîmchômsaia are two examples presented on this site. Concerning theory, my writings serve merely as an introduction to the subject; for current academic research I recommend the links section.
Category:
Welcome to the home page of the Technical Committee on Musical Acoustics (TCMU) of the Acoustical Society of America (ASA). The TCMU is concerned with the application of science and technology to the field of music. Of particular current interest are the following:
Physics of musical sound production
Psychoacoustics of musical perception
Music cognition
Analysis and synthesis of musical sounds and composition
Physics of musical sound production
Psychoacoustics of musical perception
Music cognition
Analysis and synthesis of musical sounds and composition
Category:
Mikrotonale Differenzen in den Bach-Stimmungen;
Dr. Jürgen Grönewald.
Mit dem "Wohltemperierten Clavier" hat J.S.BACH nicht nur eine geniale Komposition geschaffen,
er hat damit gleichfalls eine gewisse Stimmung für Tasteninstrumente, eine "Temperierung" mit einer Bezeichnung benannt und charakterisiert. Er hat jedoch nicht anzugeben, wie sich diese von anderern Temperierungen unterscheidet.
Die Analyse der Notation von zweimal 24 Präludien und Fugen in allen Dur- und Molltonarten allein wird
keine befriedigenden Erkenntnisse bringen können. Mehr Aussicht auf Erfolg bei der Beantwortung der
Frage, was das Besondere an der "Wohltemperierung" sei, ist durch die Untersuchung der Tonskalen zu erwarten, die von Experten Bach zugeschrieben werden.
Der Begriff der "Wohltemperierung" wird in der musiktheoretischen Literatur mit der "Gleichstufigkeit"
gleichgesetzt, ist doch in beiden Systemen das "Spiel durch den Quintenzirkel" problemlos möglich.
Neue Erkenntnisse zur "Wohltemperierung" werden im Vergleich zu anderen Tonleiterskalen präsentiert.
Daraus ergeben sich sehr wohl Unterschiede zwischen "gleichstufigen" und "wohltemperierten" Tonsystemen. (Angemerkt sei in diesem Zusammenhang, daß von diesen Systemen aufgrund charakteristischer Merkmale noch zwei weitere, "reine" und "mitteltönige" Tonsysteme sich abgrenzen lassen.) ...
Dr. Jürgen Grönewald.
Mit dem "Wohltemperierten Clavier" hat J.S.BACH nicht nur eine geniale Komposition geschaffen,
er hat damit gleichfalls eine gewisse Stimmung für Tasteninstrumente, eine "Temperierung" mit einer Bezeichnung benannt und charakterisiert. Er hat jedoch nicht anzugeben, wie sich diese von anderern Temperierungen unterscheidet.
Die Analyse der Notation von zweimal 24 Präludien und Fugen in allen Dur- und Molltonarten allein wird
keine befriedigenden Erkenntnisse bringen können. Mehr Aussicht auf Erfolg bei der Beantwortung der
Frage, was das Besondere an der "Wohltemperierung" sei, ist durch die Untersuchung der Tonskalen zu erwarten, die von Experten Bach zugeschrieben werden.
Der Begriff der "Wohltemperierung" wird in der musiktheoretischen Literatur mit der "Gleichstufigkeit"
gleichgesetzt, ist doch in beiden Systemen das "Spiel durch den Quintenzirkel" problemlos möglich.
Neue Erkenntnisse zur "Wohltemperierung" werden im Vergleich zu anderen Tonleiterskalen präsentiert.
Daraus ergeben sich sehr wohl Unterschiede zwischen "gleichstufigen" und "wohltemperierten" Tonsystemen. (Angemerkt sei in diesem Zusammenhang, daß von diesen Systemen aufgrund charakteristischer Merkmale noch zwei weitere, "reine" und "mitteltönige" Tonsysteme sich abgrenzen lassen.) ...
Category:
by edward g. dunne.
It is an old (and well-understood) problem in music that you can't tune a piano perfectly. To understand why takes a tiny bit of mathematics and a smattering of physics (acoustics, namely).
Let me begin by explaining the way a scale is constructed. To avoid sharps and flats (and to make the diagrams easier to draw), I'll use the key of C.
So-called middle C represents a particular frequency. There are various standards for fixing the starting frequency...
It is an old (and well-understood) problem in music that you can't tune a piano perfectly. To understand why takes a tiny bit of mathematics and a smattering of physics (acoustics, namely).
Let me begin by explaining the way a scale is constructed. To avoid sharps and flats (and to make the diagrams easier to draw), I'll use the key of C.
So-called middle C represents a particular frequency. There are various standards for fixing the starting frequency...
Category:
In this article we will journey up the harmonic series step by step, discussing the special properties of each harmonic in turn. I'll also mention the intervals included in the harmonics up to that point. As we go up the series, we will be tracing musical history in that the simplest harmonies were the first to be used and those higher up came later. (Unfortunately, Western music effectively stopped at harmonic 5.)....
Category:
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