Abstract

This paper reveals the way in which musical pitch works as a peculiar form of cognition that reflects upon the organization of the surrounding world as perceived by majority of music users within a socio-cultural formation. Part-1 of this paper described the origin of tonal organization from verbal speech, its progress from indefinite to definite pitch, and the emergence of two main harmonic orders: heptatonic and pentatonic, each characterized by its own method of handling tension at both domains, of tonal and social organization. Part-2, here, completes the line of historic development from Antiquity to seventeenth century. Vast archeological data is used to identify the perception of music structures that tells apart the temple/palace music of urban civilizations and the folk music of village cultures. The “mega-pitch-set” (MPS) organization is found to constitute the principal contribution of a math-based music theory to a new diatonic order. All ramifications for psychology of music are discussed in detail. “Non-octave hypermode” is identified as a peculiar homogenous type of MPS, typical for plainchant. The origin of chromaticism is thoroughly examined as an earmark of “art-music” that opposes earlier forms of folk music. The role of aesthetic emotions in formation of chromatic alteration is defined. The development of chromatic system is traced throughout history, highlighting its modern implementation in “hemiolic modes.” The connection between tonal organization in music and spatial organization in pictorial art is established in the Baroque culture, and then tracked back to prehistoric times. Both are shown to present a form of abstraction of environmental topographic schemes, and music is proposed as the primary medium for its cultivation through the concept of pitch. The comparison of stages of tonal organization and typologies of musical texture is used to define the overall course of tonal evolution. Tonal organization of pitch reflects the culture of thinking, adopted as a standard to optimize individual perception of reality within a social group in a way optimal for one's success, thereby setting the conventions of intellectual and emotional intelligence.

Highlights

  • Part-1 of this paper presented the framework for study of tonal organization1 in any kind of music

  • Commitment to heptatony or pentatony as the principal means of tonal organization within a culture, appears to generally correspond to the preferred lifestyle in a social group. This correspondence could be the product of abstraction of individual lifestyle preferences into the tonal schemata of a musical mode, and further mediation of the multitude of such modes within a social group - until the statistically prevailing mode would establish the model of tonal organization

  • The diatonic Mediterranean MPS is cross-culturally implemented in the system of 8 modes, produced by modal transposition from each of the degrees of the principal heptatonic mode, including its intervallic reproduction an octave higher, with the tonic placed in another tetrachord

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Summary

Aleksey Nikolsky *

Edited by: Leonid Perlovsky, Harvard University and Air Force Research Laboratory, USA. This paper reveals the way in which musical pitch works as a peculiar form of cognition that reflects upon the organization of the surrounding world as perceived by majority of music users within a socio-cultural formation. The connection between tonal organization in music and spatial organization in pictorial art is established in the Baroque culture, and tracked back to prehistoric times. Both are shown to present a form of abstraction of environmental topographic schemes, and music is proposed as the primary medium for its cultivation through the concept of pitch.

INTRODUCTION
GENESIS OF MODAL FAMILY AND THE ROLE OF TETRACHORD
ALTERATION AND MODULATION
CHROMATIC POLYMODAL SYSTEM
TONALITY AND PERSPECTIVE AS MODELS OF REPRESENTATIONAL ORGANIZATION
Centrality principles
Single ratio principles
Vectorization principles
THE COURSE OF TONAL EVOLUTION
Normative tuning precision
Findings
GENERAL SUMMARY
Full Text
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