The Webern in Mozart: Systems of Chromatic Harmony and Their Twelve-Tone Content

2020 ◽  
Vol 42 (2) ◽  
pp. 173-192
Author(s):  
Eytan Agmon
Keyword(s):  
Present Article ◽  
Second Order ◽  
Twelve Tone ◽  
Chromatic Harmony ◽  
Harmonic System

Abstract Toward the end of his 2012 book, Audacious Euphony, Richard Cohn asks, “how does music that is heard to be organized by diatonic tonality [as in the age of Mozart] become music that is heard to be organized in some other way [as in the age of Webern]”? In the present article, a theory different from Cohn’s is offered as answer. The theory’s three sub-theories, harmonic hierarchy, within-key chromaticism, and “solar” key distance, lead to a distinction between four types of harmonic systems: the strictly diatonic, the first- and second-order chromatic, and the restricted twelve-tone system. As its name implies, the latter harmonic system allows for twelve-tone levels, though under a restriction (termed Principle of Diatonic Fusion) that holds “the Webern in Mozart” in check.

In-between Painting and Music—or, Thinking with Paul Klee and Anton Webern

2013 ◽  
Vol 43 (3) ◽  
pp. 419-442
Author(s):  
Marcia Sá Cavalcante Schuback
Keyword(s):  
Present Article ◽  
General Purpose ◽  
Anton Webern ◽  
Main Question ◽  
Musical Structure ◽  
Twelve Tone ◽  
Paul Klee ◽  
Starting Point

Abstract The present article discusses the relation between painting and music in the work by Paul Klee, bringing it into conversation with the music by Anton Webern. It assumes, as a starting point, that the main question is not about relating painting and music but rather about the relation between moving towards painting and moving towards music, hence the relation between forming forces and not between formed forms. Since for Klee the musical structure of the pictorial is understood as “active linear polyphony,” the article develops this notion in conversation with Webern’s thoughts on the polyphonic structure of twelve-tone music. The general purpose of the article is to determine what kind of thoughts emerge from the in-between of painting and music.

scholarly journals Analysis Of Geodetic Network Established Inside The Dobšinská Ice Cave Space / Analýza Geodetickej Siete Zriadenej V Priestoroch Dobšinskej Ľadovej Jaskyne

2014 ◽  
Vol 60 (1) ◽  
pp. 45-54 ◽  
Author(s):  
Juraj Gašinec ◽  
Silvia Gašincová ◽  
Vladislava Zelizňaková ◽  
Jana Palková ◽  
Žofia Kuzevičová
Keyword(s):  
Present Article ◽  
Geodetic Network ◽  
Second Order ◽  
Underground Space ◽  
Robust Analysis ◽  
Parameter Estimations ◽  
Network Geometry ◽  
Spatial Changes ◽  
Potential Outlier ◽  
Temporal And Spatial

Abstract The present article summarizes the progress and results of geodetic works during the construction of a geodetic network inside the Dobšinská Ice Cave underground space to monitor temporal and spatial changes in its ice filling. In order to objectively evaluate the changes, parameter estimations of the first- and second-order of the geodetic network from the set of field geodetic measurements were provided, and a robust analysis of the network was applied in terms of the assessment of impacts of potential outlier measurements on the network geometry

Moment Symmetry Models and Decompositions of Symmetry for Multi-way Contingency Tables

2019 ◽  
Vol 71 (2) ◽  
pp. 83-98
Author(s):  
Takuya Yoshimoto ◽  
Kouji Tahata ◽  
Kiyotaka Iki ◽  
Sadao Tomizawa
Keyword(s):  
Present Article ◽  
Contingency Tables ◽  
Second Order ◽  
Subject Classification ◽  
Order Moment ◽  
Marginal Homogeneity ◽  
Symmetry Model

For square contingency tables, Caussinus[ 1 ] demonstrated that the symmetry model holds if and only if both the quasi-symmetry and marginal homogeneity models hold. Bishop, Fienberg, and Holland[ 2 , p. 307] and Bhapkar and Darroch[ 3 ] provided similar theorems for multi-way tables. The present article proposes a moment symmetry model and unique decompositions of the symmetry model. For two-way tables, the second-order moment symmetry model decomposes the symmetry model into the second-order moment symmetry and marginal homogeneity models, while the [Formula: see text]th-order moment symmetry model decomposes the [Formula: see text]th-order marginal symmetry model using the [Formula: see text]th-order marginal symmetry model for multi-way tables. AMS 2000 subject classification: 62H17

scholarly journals Coefficient functionals for a class of bounded turning functions related to modified sigmoid function

2021 ◽  
Vol 7 (2) ◽  
pp. 3133-3149
Author(s):  
Muhammad Ghaffar Khan ◽  
◽  
Nak Eun Cho ◽  
Timilehin Gideon Shaba ◽  
Bakhtiar Ahmad ◽  
...  
Keyword(s):  
Present Article ◽  
Fourth Order ◽  
Symmetric Functions ◽  
Second Order ◽  
Sigmoid Function ◽  
Hankel Determinant ◽  
Hankel Determinants ◽  
The Third ◽  
Bounded Turning

<abstract><p>The main objective of the present article is to define the class of bounded turning functions associated with modified sigmoid function. Also we investigate and determine sharp results for the estimates of four initial coefficients, Fekete-Szegö functional, the second-order Hankel determinant, Zalcman conjucture and Krushkal inequality. Furthermore, we evaluate bounds of the third and fourth-order Hankel determinants for the class and for the 2-fold and 3-fold symmetric functions.</p></abstract>

Disappearance Voltage Determinations Using a Convergent Beam

1971 ◽  
Vol 29 ◽  
pp. 184-185
Author(s):  
W. L. Bell
Keyword(s):  
Second Order ◽  
Objective Method ◽  
Uniform Thickness ◽  
Rocking Curve ◽  
Crystal Perfection ◽  
Kikuchi Line ◽  
Central Maximum ◽  
Diffraction Patterns ◽  
Convergent Beam ◽  
Beam Technique

Disappearance voltages for second order reflections can be determined experimentally in a variety of ways. The more subjective methods, such as Kikuchi line disappearance and bend contour imaging, involve comparing a series of diffraction patterns or micrographs taken at intervals throughout the disappearance range and selecting that voltage which gives the strongest disappearance effect. The estimated accuracies of these methods are both to within 10 kV, or about 2-4%, of the true disappearance voltage, which is quite sufficient for using these voltages in further calculations. However, it is the necessity of determining this information by comparisons of exposed plates rather than while operating the microscope that detracts from the immediate usefulness of these methods if there is reason to perform experiments at an unknown disappearance voltage.The convergent beam technique for determining the disappearance voltage has been found to be a highly objective method when it is applicable, i.e. when reasonable crystal perfection exists and an area of uniform thickness can be found. The criterion for determining this voltage is that the central maximum disappear from the rocking curve for the second order spot.

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