Posted on by Bernard Bel

Musicology

Microtonality 
Microtonality
On elec­tron­ic instru­ments such as the Bol Processor asso­ci­at­ed with Csound, micro­tonal­i­ty is the mat­ter of “micro­ton­al tun­ing”, here mean­ing the con­struc­tion of musi­cal scales out­side the con­ven­tion­al one(s) …
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Just into­na­tion: a gen­er­al framework 
Just intonation: a general framework
A frame­work for con­struct­ing scales (tun­ing sys­tems) refer­ring to just into­na­tion in both clas­si­cal Indian and Western approach­es …
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The two-vina experiment 
The two-vina experiment
A com­pre­hen­sive inter­pre­ta­tion of the exper­i­ment of the two vinas described in Chapter XXVIII.24 of the Natya Shastra …
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Melodic types of Hindustan 
Melodic types of Hindustan
A scan of Bose, N.D. Melodic Types of Hindustan. Jaico, Bombay 1960 …
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A Mathematical Model of the Shruti-Swara-Grama-Murcchana-Jati System 
A Mathematical Model of the Shruti-Swara-Grama-Murcchana-Jati System
A scan of Arnold, E.J. A Mathematical mod­el of the Shruti-Swara-Grama-Murcchana-Jati System …
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A Mathematical Discussion of the Ancient Theory of Scales accord­ing to Natyashastra 
A Mathematical Discussion of the Ancient Theory of Scales according to Natyashastra
Bernard Bel Note interne, Groupe Représentation et Traitement des Connaissances (CNRS), Marseille 1988. Download this paper …
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Raga intonation 
Raga intonation
This arti­cle demon­strates the the­o­ret­i­cal and prac­ti­cal con­struc­tion of micro­ton­al scales for the into­na­tion of North Indian ragas …
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Creation of just-intonation scales 
Creation of just-intonation scales
The pro­ce­dure for export­ing just-intonation scales from murcchana-s of Ma-grama …
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A mul­ti­cul­tur­al mod­el of consonance 
A multicultural model of consonance
A frame­work for tun­ing just-intonation scales via two series of fifths For more than twen­ty cen­turies, musi­cians, instru­ment mak­ers and …
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Comparing temperaments 
Comparing temperaments
Images of tem­pered scales cre­at­ed by the Bol Processor The fol­low­ing are Bol Processor + Csound inter­pre­ta­tions of J.-S. Bach’s …
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Rationalizing musi­cal time: syn­tac­tic and symbolic-numeric approaches 
Rationalizing musical time: syntactic and symbolic-numeric approaches
Bernard Bel A con­tri­bu­tion to The Ratio Symposium, 14-16 Dec. 1992, Den Haag (The Netherlands). Published in Barlow, Clarence (ed.) …
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At the heart of Indian rhythms and their evolution 
At the heart of Indian rhythms and their evolution
An inter­view with James Kippen by Antoine Bourgeau …
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Au cœur des rythmes indiens 
Au cœur des rythmes indiens
Entretien avec James Kippen, par Antoine Bourgeau …
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Time-setting of sound-objects 
Time-setting of sound-objects
This paper deals with the sched­ul­ing of “sound-objects”, here­by mean­ing pre­de­fined sequences of ele­men­tary tasks in a sound proces­sor, with each task mapped to a time-point …
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Pattern grammars 
Pattern grammars
Bol Processor gram­mars are char­ac­ter­i­sa­tions of sequen­tial events in terms of sub­string rep­e­ti­tions, homo­mor­phisms, etc. Parsing tech­niques, sto­chas­tic pro­duc­tion and recent devel­op­ments of BP gram­mars are briefly described …
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Modelling music with grammars 
Modelling music with grammars
A lin­guis­tic mod­el of tabla impro­vi­sa­tion and eval­u­a­tion derived from pat­tern lan­guages and for­mal gram­mars has been imple­ment­ed in the Bol Processor, a soft­ware sys­tem used in inter­ac­tive field­work with expert musi­cians …
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