|
music theory & history online
Description
Indexes pages concerning dolmetsch musical instruments, recorder maker, music publisher, summer courses, music theory, recorder lessons, beckfluto, blockflauta, blockfleita, blokflojte, Blockflöte, blockflöjt, blockflõték, blokfløyte, blokfluit, flauta de pico, flauta doce, flauta dulce, flauto a becco, flauto diritto, flauto dolce, flétna, fluta de bec, flûte à bec, flûte douce, furulya, egyenesfuvola, halilit, nokkauilua, rikoda, sjøfløyte, tatebue, zhi di, zobcová
music help, recorder, beckfluto, blockflauta, blockfleita, blokflojte, Blockflöte, blockflöjt, blockflõték, blokfløyte, blokfluit, flauta de pico, flauta doce, flauta dulce, flauto a becco, flauto diritto, flauto dolce, flétna, fluta de bec, flûte à bec, flûte douce, furulya, egyenesfuvola, halilit, nokkauilua, rikoda, sjøfløyte, tatebue, zhi di, zobcová, education, history, makers, MIDI, music, instruments, literature, software, technique, recordings, music, theory, dolmetsch, dolmetch, dolmesh, dolmetsh, dolmech, flute, harpsichord, clavichord, spinet, viol, arnold, carl, Haslemere, Surrey, festival, summer school, course, dance, garklein, sopranino, soprano, alto, descant, treble, tenor, bass, great, contra, school music, nova, school, academy, conservatoire, millennium, stanesby, bressan, gold, renaissance, medieval, baroque, classical, lessons, music dictionary, music lesson, music teacher,
music help, recorder, beckfluto, blockflauta, blockfleita, blokflojte, Blockflöte, blockflöjt, blockflõték, blokfløyte, blokfluit, flauta de pico, flauta doce, flauta dulce, flauto a becco, flauto diritto, flauto dolce, flétna, fluta de bec, flûte à bec, flûte douce, furulya, egyenesfuvola, halilit, nokkauilua, rikoda, sjøfløyte, tatebue, zhi di, zobcová, education, history, makers, MIDI, music, instruments, literature, software, technique, recordings, music, theory, dolmetsch, dolmetch, dolmesh, dolmetsh, dolmech, flute, harpsichord, clavichord, spinet, viol, arnold, carl, Haslemere, Surrey, festival, summer school, course, dance, garklein, sopranino, soprano, alto, descant, treble, tenor, bass, great, contra, school music, nova, school, academy, conservatoire, millennium, stanesby, bressan, gold, renaissance, medieval, baroque, classical, lessons, music dictionary, music lesson, music teacher,
Category
Keywords
Date
May 2, 2005
Contact name
Email
Link ID
8142
Write a Review
Add to My Favorite
Refer it to Friend
Report Broken Link
Other links at Theory, Tuning...
Music translated into Mathematics: Leonhard Euler: english translation;
By the middle of the 1700s, at the time when the music known as classical acquires its letters of nobility with Bach (1685-1750), Handel (1685-1759), Rameau (1683-1764), Haydn (1732-1809), Mozart (1756-1791), etc., two particularly famous mathematicians, Euler and d'Alembert, produce theories of music. This fact is obviously not the result of a "historical chance". It represents on the contrary the prolongation of one tradition.1 By the end of the previous century, several scientists had already become intrigued and put their attention on the same subject: Descartes (Compendium musicae), Galileo (end of the 1st day of Discorsi), Mersenne (the enormous work of the Universal Harmony), Leibniz "as an amateur".2 But in the 1700s, it is the music itself which changes, the traditional harmony dethroning the medieval counterpoint definitively. Thus this change had to be explained, to make the theory of it, and the task could inspire, rightly, any scientist set on music.
Euler (1707-1783) is 24 years old when he writes, in 1731, his Tentamen novae theoriae musicae ex certissimis harmoniae principiis dilucide expositae (A attempt at a new theory of music, exposed in all clearness according to the most well-founded principles of harmony). It is a work of 263 pages, written in Latin, which will be published only in 1739. It was translated into French one century later with the edition of Brussels of works of the mathematician. I will presently say some words on the quality of this translation.
In 1739 Euler is already known as a mathematician and is in St Petersburg, where he will soon occupy the Chair of mathematics. He is extremely interested by all that touches on music. He published in Basle, in 1727, a "thesis on sound" where he compares the sounds produced by the vibrating cords with those generated by the wind instruments. And about 1726 already, Euler had projected the plan of a considerable work on music. Apart from the fact that the sounds were to be noted there by sequence numbers in the scale, the object of study remained close to musical realities. The last section, for example, was to analyze the various kinds of pieces of music (saraband, courrant, etc) ...
By the middle of the 1700s, at the time when the music known as classical acquires its letters of nobility with Bach (1685-1750), Handel (1685-1759), Rameau (1683-1764), Haydn (1732-1809), Mozart (1756-1791), etc., two particularly famous mathematicians, Euler and d'Alembert, produce theories of music. This fact is obviously not the result of a "historical chance". It represents on the contrary the prolongation of one tradition.1 By the end of the previous century, several scientists had already become intrigued and put their attention on the same subject: Descartes (Compendium musicae), Galileo (end of the 1st day of Discorsi), Mersenne (the enormous work of the Universal Harmony), Leibniz "as an amateur".2 But in the 1700s, it is the music itself which changes, the traditional harmony dethroning the medieval counterpoint definitively. Thus this change had to be explained, to make the theory of it, and the task could inspire, rightly, any scientist set on music.
Euler (1707-1783) is 24 years old when he writes, in 1731, his Tentamen novae theoriae musicae ex certissimis harmoniae principiis dilucide expositae (A attempt at a new theory of music, exposed in all clearness according to the most well-founded principles of harmony). It is a work of 263 pages, written in Latin, which will be published only in 1739. It was translated into French one century later with the edition of Brussels of works of the mathematician. I will presently say some words on the quality of this translation.
In 1739 Euler is already known as a mathematician and is in St Petersburg, where he will soon occupy the Chair of mathematics. He is extremely interested by all that touches on music. He published in Basle, in 1727, a "thesis on sound" where he compares the sounds produced by the vibrating cords with those generated by the wind instruments. And about 1726 already, Euler had projected the plan of a considerable work on music. Apart from the fact that the sounds were to be noted there by sequence numbers in the scale, the object of study remained close to musical realities. The last section, for example, was to analyze the various kinds of pieces of music (saraband, courrant, etc) ...
Category:
A practice in the mathematics of tuning instruments and analyzing scales.
The Chrysalis Foundation.
We are a 501(c)3 nonprofit arts and education foundation that supports the work of master builder, writer, and composer Cris Forster, whose original acoustic instruments facilitate new tunings in just intonation.
Cris Forster, Chrysalis Foundation, Musical Mathematics, just intonation, intonation, new music, microtone, microtonal music, tuning, scales, harmonic series, temperament, meantone, music history, tuning history, acoustic instrument, instrument construction, musical acoustics, musical glass, simple flute, marimba, canon, Marin Mersenne, Max F. Meyer, Harry Partch, Al-Jurjani, Ishaq Al-Kindi, Al-Farabi, Bharata, Ramamatya, Philolaus, Euclid, Safi Al-Din, Bartolomeo Ramis, Chris Forster.
The Chrysalis Foundation.
We are a 501(c)3 nonprofit arts and education foundation that supports the work of master builder, writer, and composer Cris Forster, whose original acoustic instruments facilitate new tunings in just intonation.
Cris Forster, Chrysalis Foundation, Musical Mathematics, just intonation, intonation, new music, microtone, microtonal music, tuning, scales, harmonic series, temperament, meantone, music history, tuning history, acoustic instrument, instrument construction, musical acoustics, musical glass, simple flute, marimba, canon, Marin Mersenne, Max F. Meyer, Harry Partch, Al-Jurjani, Ishaq Al-Kindi, Al-Farabi, Bharata, Ramamatya, Philolaus, Euclid, Safi Al-Din, Bartolomeo Ramis, Chris Forster.
Category:
online hyperlinked dictionary
of terms commonly encountered in musical tuning theory.
Just intonation provides us with a potentially infinite set of pitches. Whether we are considering
a one-dimensional string of perfect fifths (Pythagorean tuning or 3-limit JI), a two-dimensional grid of perfect fifths and major thirds (5-limit JI), a three-dimensional lattice of perfect fifths, major thirds, and harmonic sevenths (7-limit JI), or any other set of mutually prime intervals, the set of pitches will be infinite, with number of dimensions equal to the number of primary intervals....
of terms commonly encountered in musical tuning theory.
Just intonation provides us with a potentially infinite set of pitches. Whether we are considering
a one-dimensional string of perfect fifths (Pythagorean tuning or 3-limit JI), a two-dimensional grid of perfect fifths and major thirds (5-limit JI), a three-dimensional lattice of perfect fifths, major thirds, and harmonic sevenths (7-limit JI), or any other set of mutually prime intervals, the set of pitches will be infinite, with number of dimensions equal to the number of primary intervals....
Category:
Learn how to identify the basic music notations e.g. music staff, ledger lines, measure, clef, treble clef, bass clef, bar lines.
flashcards,print ready,
printable,
tempo,
dynamics,
note and rest values,
elements of music,treble clef, bass clef,
diagram of staff,define bar lines,
define measure in music,
introduction to music writing,
worksheet,
assignment,
blank sheet music
flashcards,print ready,
printable,
tempo,
dynamics,
note and rest values,
elements of music,treble clef, bass clef,
diagram of staff,define bar lines,
define measure in music,
introduction to music writing,
worksheet,
assignment,
blank sheet music
Category:
TmiWeb:
Thesaurus musicarum italicarum.
TmiWeb is the online version of Thesaurus musicarum italicarum, an electronic corpus of Italian music treatises from the Renaissance and early Baroque. It contains the works of two of Italy’s most important authors on music theory, Pietro Aaron (c. 1480-c.1545) and Gioseffo Zarlino (1570-1590), as well as to a number of writings by their contemporaries. Nearly 30 works are online on TmiWeb in a full-text, searchable multimedial edition. More information about TMI is available in the Project Description.
Thesaurus musicarum italicarum.
TmiWeb is the online version of Thesaurus musicarum italicarum, an electronic corpus of Italian music treatises from the Renaissance and early Baroque. It contains the works of two of Italy’s most important authors on music theory, Pietro Aaron (c. 1480-c.1545) and Gioseffo Zarlino (1570-1590), as well as to a number of writings by their contemporaries. Nearly 30 works are online on TmiWeb in a full-text, searchable multimedial edition. More information about TMI is available in the Project Description.
Category:
Main Category
8
1996
553
332
212
6
788
52
2257
361
411
189
140
210
18
2320
74
119
3
172
34
145
105
31
14
14
1034
157
233
87
267
9
1051
148
243
132
312
247
346
15
73
212
127
68
407
533
2601
86
Top 10
Statistics
Links: 17335
Categories: 1112
Unique Outgoing Hits: 3977894
Pagerank Statistics
