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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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