scholarly journals Zur Visualisierung harmonischer Prozesse mithilfe des Circular Pitch-Class Space am Beispiel der Tristan-Sequenz

10.31751/1016 ◽  
2019 ◽  
Vol 16 (2) ◽  
pp. 167-177
Author(s):  
Ansgar Jabs ◽  
Pascal Rudolph
Keyword(s):  
Pitch Class ◽  
Circular Pitch

Pitch-Class Set Multiplication in Theory and Practice

1998 ◽  
Vol 20 (1) ◽  
pp. 72-96 ◽  
Author(s):  
Stephen Heinemann
Keyword(s):  
Theory And Practice ◽  
Pitch Class

Pitch-Class Consciousness

1975 ◽  
Vol 13 (2) ◽  
pp. 30 ◽  
Author(s):  
Paul Lansky
Keyword(s):  
Class Consciousness ◽  
Pitch Class

Pitch-Class Set Multiplication in Theory and Practice

1998 ◽  
Vol 20 (1) ◽  
pp. 72-96 ◽  
Author(s):  
Stephen Heinemann
Keyword(s):  
Theory And Practice ◽  
Pitch Class

Book Review: Pitch Class Constellations: Studies in the Perception of Tonal Centricity

2004 ◽  
Vol 8 (2) ◽  
pp. 292-296
Author(s):  
Niall Griffith
Keyword(s):  
Pitch Class

Use of the Exclusion Relation to Profile Pitch-Class Sets

1983 ◽  
Vol 27 (2) ◽  
pp. 181 ◽  
Author(s):  
John Clough
Keyword(s):  
Pitch Class ◽  
Pitch Class Sets

An Algorithm for Harmonic Analysis

1997 ◽  
Vol 15 (1) ◽  
pp. 31-68 ◽  
Author(s):  
David Temperley
Keyword(s):  
Harmonic Analysis ◽  
Spatial Representation ◽  
Tonal Music ◽  
Pitch Class

An algorithm is proposed for performing harmonic analysis of tonal music. The algorithm begins with a representation of a piece as pitches and durations; it generates a representation in which the piece is divided into segments labeled with roots. This is a project of psychological interest, because much evidence exists that harmonic analysis is performed by trained and untrained listeners during listening; however, the perspective of the current project is computational rather than psychological, simply examining what has to be done computationally to produce "correct" analyses for pieces. One of the major innovations of the project is that pitches and chords are both represented on a spatial representation known as the "line of fifths"; this is similar to the circle of fifths except that distinctions are made between different spellings of the same pitch class. The algorithm uses preference rules to evaluate different possible interpretations, selecting the interpretation that most satisfies the preference rules. The algorithm has been computationally implemented; examples of the program's output are given and discussed.

scholarly journals VIBRATION RESISTANCE AT PROCESSING BY END MILLS WITH VARIABLE PITCH

2018 ◽  
Vol 2018 (8) ◽  
pp. 14-24
Author(s):  
Михаил Журавлев ◽  
Mihail Zhuravlev ◽  
Константин Кравченко ◽  
Konstantin Kravchenko ◽  
Дмитрий Элькинд ◽  
...  
Keyword(s):  
Technological System ◽  
Variable Pitch ◽  
Vibration Resistance ◽  
Resonance Frequencies ◽  
Constant Pitch ◽  
Oscillation Process ◽  
End Mills ◽  
System Vibration ◽  
Circular Pitch ◽  
Resonance Oscillations

In this work there is carried out an investigation of tooth different pitches with the purpose to increase a technological system vibration resistance at processing by end mills with a variable pitch and using elements of an operation modal analysis (OMA). An experiment is carried out in the course of which there are performed tests for the level definition of vibrations and resonance frequencies of technological system oscillations at cutting by an end mill with a constant and varied pitch. The work results show that the average level of vibrations at the work with a mill with a constant pitch is higher than at the work with a mill with a varied one. The existence of some own frequencies in one direction for a mill with a constant pitch of teeth is defined that is possible in the systems with a great number of degrees of mobility. At the same time for a mill with a varied pitch the oscillations were observed only at one frequency of own oscillations in one direction. In this connection a possibility of resonance oscillations decreases. During the work of the mill with a varied pitch the vibration waves with different length appear on the surfaces of cutting. A developed physical model of a technological system oscillation process at the work with a mill with a varied pitch shows that with the increase of a circular pitch the resultant oscillation displacements decrease.

scholarly journals Absolute Pitch in Oral Transmission of Folk Tunes as Constrained Random Walks

2015 ◽  
Vol 10 (3) ◽  
pp. 178
Author(s):  
Klaus Frieler
Keyword(s):  
Random Walks ◽  
Empirical Research ◽  
Empirical Data ◽  
Absolute Pitch ◽  
Folk Songs ◽  
Pitch Class ◽  
Oral Transmission

In this commentary, I would like to add a few of our own, still unpublished, empirical observations concerning the possible role of absolute pitch memory (APM) in the oral transmission of folksongs. This empirical data poses some questions on the likelihood of the observed inter-recording tonic pitch consistency of Olthof, Janssen & Honing (2015) and how these could come about. Based on simulations of absolute pitch class of tonics during oral transmission of folk songs, I argue that the interplay of melodic range and vocal range might actually be the main reason for the observed non-uniformity, in contrast to the conclusions presented in Olthof et al. (2015). However, this does not invalidate the therein presented evidence, but makes the case more puzzling, consequently calling for more empirical research on the interaction of melodic and vocal range and latent APM as well as for more detailed modeling of oral transmission of folk songs.

Analyzing Atonal Music: Pitch-Class Set Theory and Its Contexts. By Michiel Schuijer.

2009 ◽  
Vol 90 (4) ◽  
pp. 722-725
Author(s):  
M. Russ
Keyword(s):  
Set Theory ◽  
Pitch Class
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