Another dissertation on tuning and perception

The author's web pages look interesting, but I haven't time to read them
in detail today.\

--John

Djordjevic, Michael, L. "Discrete Tone Relations Determined by the
Hearing Phenomenon within Five-Dimensional Sound-Musical Continuum"

AUTHOR: Djordjevic, Michael, L.
TITLE: Discrete Tone Relations Determined by the Hearing Phenomenon
within Five-Dimensional Sound-Musical Continuum
INSTITUTION: Radio Belgrade, Hilandarska 2, 11000 Belgrade, Serbia, YU
BEGUN: January, 1990
COMPLETITION: June, 1995
ABSTRACT:
I. Theory
Five-Dimensional Sound-Musical Continuum materializes itself into
objective Sound Space and subjective Musical Space defined as MOS-Musical
Organisation of Sound. Sound-Musical Space is defined as union of the
sets: A the set of parameters related to the sound signal at its source,
B the set of
parameters of the sound signal with a listener. A and B interactions
with binary relations of ordered pairs represents the new set C. MOS
defined as set X
implicates Y as set of aural, final psychological perception of music.

II. Experiments
Quantum of Hearing Discrimination was elaborated in experiments MATEST 1
and 2 with values in cents ranged from 3-7, extreme 2, being constant along
the greater part of the frequency spectrum, 4 cents. Unit called Unitary
Distance was defined. Phase Space Cell signifies distribution of DTR
within the
Sound-Musical Space as matrix. MATEST 2 included several different tonal
systems for comparison and DTR system justification.

III. Practice DTR-Discrete
Tone Relations: 1. Hearing discrimination 2. Temperament 3. Intonation
4. Musical abilities 5. Compositional organization of DTR 6.Ortography
and notation
7. Reproductive medium with its limits 8. Constructing new musical
instruments 9. Aesthetics and axiology

KEYWORDS: discrete, tone, relations, DTR, UD, unitary, distance, STTR,
PSC, phase, space, cells, QHd, quantum, hearing, discrimination, phenomenon,
sound, musical, continuum, fivedimensional, matest, system

TOC:
Introduction
I. Theoretical aspects:

1. General conception of universal sound-musical manifestation
2. Materialization of sound-musical continuum into union
of sets of all musical parameters,
3. Defining of tone pitches and their relations on the
base of quantum theory i.e. discrete atributs of sound-musical space,
4. Presentation of discrete tone relations system and its
implications in regard to hearing phenomenon

II. Experimental aspects:

5. Experimental determination of hearing threshold value
and quantum of hearing discrimination within the range of discrete tone
pitches and their
relations
6. Projection of discrete tone relation systems and
selection of its optimal variants
7. Testing of discrete tone relations system in relation
to already existing tone systems and proofs of its universality,
validity and practical benefits

III. Practical aspects:

8. Practical application of discrete tone relations from
the aspect of contemporary musical science
9. Discrete tone relations application from the aspect of
reproductive musical media,
10. Systematization of theoretical and practical results
of discrete tone relations phenomenon research, Summary, Literature,
Application of
references towards fundamental theses of dissertation.

CONTACT:
P. Lekovica 44/4
11000 Belgrade
Serbia, YU
phone: 381-11-3546262
e-mail: mihajlod@EUnet.yu
URL: http://SOLAIR.EUnet.yu/~mihajlod