Presentation: Welcome, why these papers are here
An exchange to realize
I publish this study on the web to exchange ideas about music instruments math-models, I do theoretical job in this subject. This collection of papers regards a physical model of the grand piano action mechanism.
This is an independent non-profit independent academic activity, donations for website maintenance are accepted (contact me). I've tried to build up all pages the most easy to read as possible, to render the surfing comfortable.
I am pleased to realize the work shown here has attracted so far more than one million visits over time (Ad-Sense reported). All the material consulted online, and all bibliographic references, are available in the download window in both, italian and english.
As far as academic contents concerns, the fields of study of piano playing as a physical phenomena embraces many areas of pure and applied mathematics, p.e. the flux of the point of touch is focused on the study on symmetric cones. This subject shares correspondence with many math areas such as number theory and multivariate analysis, it embraces Jordan algebra, spherical polynomials, multivariate hypergeometric functions, holomorphic functions on bounded symmetric domains of tube type, and invariant differential operators.
My model begins considering the inertial and dynamic properties of the piano Key in the dynamic threshold, therefore I go on modelling physic characterization of all the piano action structure. Finally I assume the closing of the loop with the phenomena attributed or connected to aural aspects as well, so called "flux of the point of touch". The focus regards the magnitudes that describe the acoustic stiffness of the piano action structure, considering the flow as the fundamental asset of the conceptualized theory. Undergraduate and graduate students are invited to consider this work. Related areas are as I said among others, non-commutative harmonic analysis, Jordan algebras, and multivariate statistics.
No need to mention wherever I had taken advantage of the work of others, full reference has been provided. I suggest same ethics behaviour to visitors here. So copy and paste literacy, if you need it for non-profit purposes, remembering to quote me, specially if you use the images I have created and digitized with much love and patience, spending a lot of precious time.
Distribution of the thesis is achieved under GNU GPL license agreement. The LaTeX source code is deposited on the repository archive at the Physics department of "La Sapienza" university in Rome, Italy (Apache_Red_Hat_server), it can be requested to LAN administrator for further editing, click here to visit Homepage.
I hope you will find science and music entertainment, thanks for watching.
Cesar Francisco Lopez Pineda
“ Music is an agreeable harmony for the honor of God and the permissible delights of the soul. I have always kept one end in view, namely, to conduct a well-regulated music to the honour of God. There’s nothing remarkable about it, all one has to do is hit the right keys at the right time and the instrument plays itself ... ” Johann Sebastian Bach (1685 - 1750)
