The Mathematical Theory of Tone Systems (original) (raw)

On the Perception of Tone

Richard Krantz

2003

View PDFchevron_right

Recapitulation of an approach to mathematical models of musical scales and notes on an analogous approach in regard to musical meter

Mark Lindley

View PDFchevron_right

A Mathematical Model Of Tonal Function

Robert Kelley

2006

View PDFchevron_right

Perceptually Based Theory for World Music Tunings

Jay Rahn

View PDFchevron_right

Interval-class content in equally tempered pitch-class sets: Common scales exhibit optimum tonal consonance

David Huron

Music Perception: An Interdisciplinary Journal, 1994

View PDFchevron_right

On the Geometric Realisation of Equal Tempered Music

Dr Tavis Ashton-Bell, Robert L T Ashton-Bell

On the Geometric Realisation of Equal Tempered Music, 2019

View PDFchevron_right

A Classification of Seven Tone Scales

atilla sağlam

View PDFchevron_right

The Sounds of Music : Science of Musical Scales

Sushan Konar

Resonance, 2019

View PDFchevron_right

STRUCTURAL PROPERTIES OF MUSICAL SCALES

Norman Carey, David Clampitt

View PDFchevron_right

In search of universal properties of musical scales

Aline Honingh, Rens Bod

View PDFchevron_right

The Sounds of Music : Science of Musical Scales I – Human Perception of Sound

Sushan Konar

2019

View PDFchevron_right

Perfect balance: A novel principle for the construction of musical scales and meters

Andrew Milne, William Sethares, Steffen A . Herff

In T. Collins, D. Meredith, and A. Volk (Eds.), Mathematics and Computation in Music—MCM 2015, volume 9110 of LNAI, pages 97–108, Heidelberg. Springer.

View PDFchevron_right

Equal Temperament Tuning: The Nature, Cause and Effect

Kaliopi Stavropoulos

View PDFchevron_right

The Mathematics of Musical Instruments

Gokul Pawar

View PDFchevron_right

The processing of pitch combinations

Diana Deutsch

2013

View PDFchevron_right

Defining the Perimeters of Specific Frequencies of Notes by Their Color-Light Octaves

Dameon Keller

View PDFchevron_right

Musical Microtonal Scales based in the quantitative measurement of the sensory dissonance of Sethares

Antonio Quintero-Rincón

SSIP'08 Proceedings of the 8th conference on Signal, Speech and image processing. ISBN:978-960-6474-008-6

View PDFchevron_right

Construction and interpretation of equal-tempered scales using frequency ratios, maximally even sets, and P-cycles

Richard Krantz

2000

View PDFchevron_right

A New Model of Perception in Music Acoustics: The Equiangular Spiral Pathway

alina abraham

⦁ Abraham [aka: Novac, L. A.], & Charalambides, S. (2003). A New Model of Perception in (Music) Acoustics: The Equiangular Spiral Pathway, in P. Slezak (Ed.), Proceedings of the Joint International Conference on Cognitive Science with the Australasian Society for Cognitive Science. Sydney: Uni..., 2003

View PDFchevron_right

THE CONCEPT OF TIMBRE AND ITS NUMERICAL FOUNDATIONS -www.serdaryilmaz.uk-

Serdar Yilmaz

www.serdaryilmaz.uk

View PDFchevron_right

Linguistic and musical scaling of Cantonese tones

Suki S.Y. Yiu

Proceedings of the 13th Biennial International Conference on Music Perception and Cognition and the 5th Triennial Conference for the Asian-Pacific Society for Cognitive Sciences of Music, 2014

View PDFchevron_right

SEARCH FOR THE OPTIMAL TONE-SYSTEM FOR AN AUTHENTIC TURKISH SOUNDSCAPE: WEIGHING SEVERAL MORE THEORETICAL MODELS ON MAKAM MUSIC AGAINST PITCH-HISTOGRAMS

Ozan Yarman

2020

View PDFchevron_right

Quarter-Tone Music: A Tuning System Rooted in Natural Harmonic Series

Aziz IFZARNE

Mathematics and Computation in Music, 9th International Conference, MCM 2024 Coimbra, Portugal, June 18–21, 2024 Proceedings, 2024

View PDFchevron_right

Fixed average spectra of orchestral instrument tones

David Huron

View PDFchevron_right

Music creation based on the golden ratio: a theoretical and practical approach to the 34-tone equal-tempered scale

Julio E . Marco-Franco

2020

View PDFchevron_right

A harmonious note on pitch: Scales of pitch derived from subtractive model of comparison agree with the musical scale

Michael Birnbaum

Perception & Psychophysics, 1984

View PDFchevron_right

Musical Scales from Pythagoras to Les gammes musicales de Pythagore à Spencer Lewis

Rose+Croix Journal

View PDFchevron_right

A Short Theory about Tones

Jonathan Kaye

View PDFchevron_right

Uncertainty and tuning in music

Jan Haluska

View PDFchevron_right

A Concept for Exploring Western Music Tonality in Physical Space

Reinhold Behringer

2009

View PDFchevron_right

Towards a new model for microtonal music: The regular temperaments of 22TET

Lillian M Hearne

View PDFchevron_right

Tuning of Musical Notes through Mathematics

Saurabh Rawat

2012

View PDFchevron_right

Designing a Pleasing Sound Mathematically

E. Neuwirth

Mathematics Magazine, 2001

View PDFchevron_right

Approaches to tuning and temperament

Rudolf Rasch

The Journal of the Acoustical Society of America

View PDFchevron_right

Aesthetics, Dynamics, and Musical Scales: A Golden Connection

Julyan Cartwright

Journal of New Music …, 2002

View PDFchevron_right