Musical Forces and Melodic Expectations: Comparing Computer Models and Experimental Results

2004 ◽  
Vol 21 (4) ◽  
pp. 457-498 ◽  
Author(s):  
Stephen McAdams
Keyword(s):  
Computer Program ◽  
Explanatory Power ◽  
Strong Support ◽  
Computer Models ◽  
Experimental Results ◽  
Musical Structure ◽  
Tonal Music ◽  
Single Level ◽  
Musical Forces ◽  
Melodic Expectation

Recent work on "musical forces" asserts that experienced listeners of tonal music not only talk about music in terms used to describe physical motion, but actually experience musical motion as if it were shaped by quantifiable analogues of physical gravity, magnetism, and inertia. This article presents a theory of melodic expectation based on that assertion, describes two computer models of aspects of that theory, and finds strong support for that theory in comparisons of the behavior of those models with the behavior of participants in several experiments. The following summary statement of the theory is explained and illustrated in the article: Experienced listeners of tonal music expect completions in which the musical forces of gravity, magnetism, and inertia control operations on alphabets in hierarchies of embellishment whose stepwise displacements of auralized traces create simple closed shapes. A "single-level" computer program models the operation of these musical forces on a single level of musical structure. Given a melodic beginning in a certain key, the model not only produces almost the same responses as experimental participants, but it also rates them in a similar way; the computer model gives higher ratings to responses that participants sing more often. In fact, the completions generated by this model match note-for-note the entire completions sung by participants in several psychological studies as often as the completions of any one of those participants matches those of the other participants. A "multilevel" computer program models the operation of these musical forces on multiple hierarchical levels. When the multilevel model is given a melodic beginning and a hierarchical description of its embellishment structure (i.e., a Schenkerian analysis of it), the model produces responses that reflect the operation of musical forces on all the levels of that hierarchical structure. Statistical analyses of the results of a number of experiments test hypotheses arising from the computer models' algorithm (S. Larson, 1993a) for the interaction of musical forces as well as from F. Lerdahl's similar (1996) algorithm. Further statistical analysis contrasts the explanatory power of the theory of musical forces with that of E. Narmour's (1990, 1992) implication-realization model. The striking agreement between computer-generated responses and experimental results suggests that the theory captures some important aspects of melodic expectation. Furthermore, the fact that these data can be modeled well by the interaction of constantly acting but contextually determined musical forces gives support to the idea that we experience musical motions metaphorically in terms of our experience of physical motions.

Measuring Musical Forces

2005 ◽  
Vol 23 (2) ◽  
pp. 119-136 ◽  
Author(s):  
Steve Larson ◽  
Leigh Vanhandel
Keyword(s):  
Content Analysis ◽  
Computer Models ◽  
Tonal Music ◽  
Physical Motion ◽  
Musical Motion ◽  
Metaphorical Process ◽  
Psychological Experiments ◽  
Musical Forces ◽  
Melodic Expectation

RECENT STUDIES CONCERNING "musical forces" suggest that listeners of tonal music may understand, experience, and create that music (in part) through a metaphorical process that maps physical motion onto musical motion. These studies argue that musical motion is shaped by a "musical gravity," a "musical magnetism," and a "musical inertia" that are analogous to their physical counterparts. The studies also found a variety of types of evidence (the distribution of patterns within compositions, improvisations, and analyses; the behavior of computer models of melodic expectation; and the responses of participants in psychological experiments). However, none of this evidence quantifies how the interaction of musical forces might account for listeners' judgments of the dynamic tendencies of notes within heard melodic patterns. This article complements and extends these studies in three ways. First, we show how a reexamination of the metaphorical bases of the forces leads to a number of hypotheses to be tested. Second, we report an experiment that tested those hypotheses by asking listeners specifically to make judgments about the experienced "strength" of presented pattern completions. Third, we report a content analysis of the distribution of the same patterns within in Schenker's Five Graphic Music Analyses.

scholarly journals Modifications in the Topological Structure of EEG Functional Connectivity Networks during Listening Tonal and Atonal Concert Music in Musicians and Non-Musicians

2021 ◽  
Vol 11 (2) ◽  
pp. 159
Author(s):  
Almudena González ◽  
Manuel Santapau ◽  
Antoni Gamundí ◽  
Ernesto Pereda ◽  
Julián J. González
Keyword(s):  
Topological Structure ◽  
Phase Synchronization ◽  
Random Network ◽  
Small World ◽  
Surrogate Data ◽  
Musical Structure ◽  
Beta Band ◽  
Tonal Music ◽  
Frequency Bands ◽  
Concert Music

The present work aims to demonstrate the hypothesis that atonal music modifies the topological structure of electroencephalographic (EEG) connectivity networks in relation to tonal music. To this, EEG monopolar records were taken in musicians and non-musicians while listening to tonal, atonal, and pink noise sound excerpts. EEG functional connectivities (FC) among channels assessed by a phase synchronization index previously thresholded using surrogate data test were computed. Sound effects, on the topological structure of graph-based networks assembled with the EEG-FCs at different frequency-bands, were analyzed throughout graph metric and network-based statistic (NBS). Local and global efficiency normalized (vs. random-network) measurements (NLE|NGE) assessing network information exchanges were able to discriminate both music styles irrespective of groups and frequency-bands. During tonal audition, NLE and NGE values in the beta-band network get close to that of a small-world network, while during atonal and even more during noise its structure moved away from small-world. These effects were attributed to the different timbre characteristics (sounds spectral centroid and entropy) and different musical structure. Results from networks topographic maps for strength and NLE of the nodes, and for FC subnets obtained from the NBS, allowed discriminating the musical styles and verifying the different strength, NLE, and FC of musicians compared to non-musicians.

Stick-Slip, Imposition-Removal of Constraints and the Spinning Ball Problem

2000 ◽  
Vol 67 (4) ◽  
pp. 720-726
Author(s):  
S. Djerassi
Keyword(s):  
Computer Program ◽  
Experimental Results ◽  
Stick Slip ◽  
Elastic Bodies ◽  
Cyclic Motion ◽  
Ball Problem

It has been observed that balls pressed between elastic bodies spin when subjected to linear, cyclic motion. This paper proposes an explanation to this phenomenon, based upon the stick-slip theory. To this end, a modified, vectorial formulation of the stick-slip theory is presented. The formulation is applied to a model comprising a ball pressed between pairs of springs and dampers. A computer program based on this formulation is used to predict the resulting motion. Predictions are shown to agree with experimental results. [S0021-8936(01)00701-2]

scholarly journals Decoding the Musical Message via the Structural Analogy between Verbal and Musical Language

2018 ◽  
Vol 18 (1) ◽  
pp. 151-160
Author(s):  
Rosina Caterina Filimon
Keyword(s):  
Cognitive Psychology ◽  
Musical Structure ◽  
Musical Language ◽  
Tonal Music ◽  
Verbal Language ◽  
Musical Perception ◽  
Language And Music ◽  
Structural Analogy ◽  
Human Intellect ◽  
Universal Nature

Abstract The topic approached in this paper aims to identify the structural similarities between the verbal and the musical language and to highlight the process of decoding the musical message through the structural analogy between them. The process of musical perception and musical decoding involves physiological, psychological and aesthetic phenomena. Besides receiving the sound waves, it implies complex cognitive processes being activated, whose aim is to decode the musical material at cerebral level. Starting from the research methods in cognitive psychology, music researchers redefine the process of musical perception in a series of papers in musical cognitive psychology. In the case of the analogy between language and music, deciphering the musical structure and its perception are due, according to researchers, to several common structural configurations. A significant model for the description of the musical structure is Noam Chomsky’s generative-transformational model. This claimed that, at a deep level, all languages have the same syntactic structure, on account of innate anatomical and physiological structures which became specialized as a consequence of the universal nature of certain mechanisms of the human intellect. Chomsky’s studies supported by sophisticated experimental devices, computerised analyses and algorithmic models have identified the syntax of the musical message, as well as the rules and principles that underlie the processing of sound-related information by the listener; this syntax, principles and rules show surprising similarities with the verbal language. The musicologist Heinrich Schenker, 20 years ahead of Chomsky, considers that there is a parallel between the analysis of natural language and that of the musical structure, and has developed his own theory on the structure of music. Schenker’s structural analysis is based on the idea that tonal music is organized hierarchically, in a layering of structural levels. Thus, spoken language and music are governed by common rules: phonology, syntax and semantics. Fred Lerdahl and Ray Jackendoff develop a musical grammar where a set of generating rules are defined to explain the hierarchical structure of tonal music. The authors of the generative theory propose the hypothesis of a musical grammar based on two types of rules, which take into account the conscious and unconscious principles that govern the organization of the musical perception. The structural analogy between verbal and musical language consists of several common elements. Among those is the hierarchical organization of both fields, a governance by the same rules – phonology, syntax, semantics – and as a consequence of the universal nature of certain mechanisms of the human intellect, decoding the transmitted message is accomplished thanks to some universal innate structures, biologically inherited. Also, according to Chomsky's linguistics model a musical grammar is configured, one governed by wellformed rules and preference rules. Thus, a musical piece is not perceived as a stream of disordered sounds, but it is deconstructed, developed and assimilated at cerebral level by means of cognitive pre-existing schemes.

Experimental Validation of Computer Models for Food and Polymer Extrusion

2003 ◽  
Author(s):  
Yogesh Jaluria
Keyword(s):  
Numerical Modeling ◽  
Numerical Models ◽  
Strong Support ◽  
Chemical Conversion ◽  
Operating Conditions ◽  
Experimental Results ◽  
Twin Screw Extruders ◽  
Twin Screw ◽  
Temperature Dependent Properties ◽  
Good Agreement

The accuracy and validity of the mathematical and numerical modeling of extruders for polymers and for food are considered in terms of experimental results obtained on typical full-size single and twin-screw extruders. The fluid is treated as non-Newtonian and with strong temperature-dependent properties. The chemical conversion of food during extrusion is also considered. The numerical modeling is employed for steady-state transport, for a range of operating conditions. Following grid-independence studies, the results obtained are first considered in terms of the expected physical behavior of the process, yielding good agreement with observations presented in the literature. The results are then compared with detailed and qualitative experimental results available from previous investigations to evaluate their accuracy. Good agreement with experimental data is obtained, lending strong support to the mathematical and numerical models.

Prediction of the Phase Behavior Generated by the Enriched-Gas-Drive Process

1965 ◽  
Vol 5 (02) ◽  
pp. 160-166 ◽  
Author(s):  
A.M. Rowe ◽  
I.H. Silberberg
Keyword(s):  
Computer Program ◽  
Phase Behavior ◽  
Oil Recovery ◽  
Miscible Displacement ◽  
Phase Changes ◽  
Experimental Results ◽  
High Concentration ◽  
Gas Drive ◽  
Non Equilibrium ◽  
Vapor Liquid

Abstract A computer program was written to predict the phase behavior generated by the enriched-gas-drive process. This program is based, in part, on a new concept of convergence pressure, which is then used to select vapor-liquid equilibrium ratios (K-factors) for performing a series of flash calculations. The results of these calculations are the equilibrium vapor and liquid phase compositions which define the phase envelopes. The program was used to predict phase envelopes for 11 different hydrocarbon systems on which published experimental data were available. The predicted and experimental results compare favorably. Introduction The reservoir engineer is frequently faced with the problem of predicting what will happen if gas is injected into a reservoir. One aspect of this general problem is predicting the phase changes that will occur when a non-equilibrium gas displaces a reservoir fluid. In particular, a "dry" gas, upon displacing a volatile oil will pick up intermediate components from the oil. On the other hand, a "wet" gas, containing a high concentration of intermediates, will lose some of these components to a relatively low-gravity, non-equilibrium crude. It is this latter process, occurring in the enriched-gas displacement, which is treated in this paper. In the past, these phase changes have been determined experimentally and the results incorporated into various modifications of the Buckley-Leverett analysis. Such experimental work is time consuming, and the results are sensitive to numerous experimental errors. With the wide availability of high-speed digital computing equipment and numerous correlations pertaining to the vapor-liquid equilibria of hydrocarbon systems, it is now practical to calculate such phase behavior. This paper describes a computer program for performing these calculations. THE ENRICHED GAS DISPLACEMENT PROCESS Experimental results have shown that oil recovery can be significantly increased by enriching the displacing gas with intermediate hydrocarbon components. The essential features of the phase behavior generated by this enriched-gas-drive process are commonly illustrated with ternary diagrams such as Fig. 1. In this figure, Gas D, which contains a high concentration of intermediate hydrocarbons with respect to the undersaturated Crude A, is injected into the reservoir. When D contacts A, gas goes into solution until the oil becomes saturated (Point. B). Further contacting of Gas D and saturated Oil B results in a Mixture C which separates into Vapor Y(c) and Liquid X(c). Liquid X(c) is contacted by additional Gas D, resulting in Mixture E which separates into Vapor Y(e) and Liquid X(e). Repeated contacts of the liquid by the injected gas will eventually result in Liquid X(d) of maximum enrichment existing in equilibrium with Gas Y(d). The equilibrium tie-line X(d) Y(d), when extended, passes through the Point D representing the enriched injection gas. For systems of more than three components, the predicted equilibrium states are dependent upon not only reservoir temperature and pressure, but also the compositions of the crude oil and injected gas. If the gas is sufficiently enriched, a miscible displacement is generated. Line is tangent to the phase envelope at the critical point (Point Z) and represents the limiting slope of the tie-lines as the critical state is approached. Point I therefore represents the minimum enrichment of injection gas required to generate a miscible displacement. Point G represents the minimum enrichment required for initial miscibility of the injection gas with Crude A.Attra has presented a method to be used for prediction of oil recovery by the enriched gas displacement process. To develop the phase behavior data needed, he designed the experimental procedure described in the following quotation from his paper SPEJ P. 160ˆ

Zur Bestimmung der optischen Konstanten stark absorbierender Substanzen mit kleinen Probenabmessungen

1981 ◽  
Vol 36 (6) ◽  
pp. 662-664 ◽  
Author(s):  
Alexander v. Petersenn ◽  
Hans-Uwe Schuster
Keyword(s):  
Computer Program ◽  
Optical Constants ◽  
Experimental Results ◽  
Experimental Arrangement ◽  
Small Samples ◽  
Absolute Value ◽  
The Absolute

Abstract To determine the optical constants of small samples a method described by Avery is suitable insofar as it is not necessary to know the absolute value of the reflected intensity of light. The problem of beam-drift during the rotation of the polarizer is solved with a modified experimental arrangement. A computer program for the evaluation of experimental results is outlined. The optical constants of gold as taken from a crystal 0.2 mm in diameter have been measured to check the accuracy of the system

Prediction of Bend Allowance and Springback in Air Bending

2006 ◽  
Vol 129 (2) ◽  
pp. 342-351 ◽  
Author(s):  
Hyunok Kim ◽  
Ninad Nargundkar ◽  
Taylan Altan
Keyword(s):  
Computer Program ◽  
Analytical Model ◽  
Elastic Recovery ◽  
Experimental Results ◽  
Air Bending ◽  
Acceptable Accuracy ◽  
Geometric Tolerances ◽  
Plastic Elongation ◽  
Bending Process ◽  
User Friendly

In the fabrication industry, one of the critical challenges is to maintain close geometric tolerances in finished products, particularly in the air bending process. In many cases, this problem is related to springback and plastic elongation/compression of the sheet, as it undergoes deformation in bending. Springback refers to the elastic recovery of the bent sheet after unloading, whereas bend allowance refers to the elongation of the sheet during bending. Both factors, if not predicted properly, may lead to dimensional inaccuracies in the finished product and cause difficulties in the assembly. Therefore, it is essential to predict springback and bend allowance in order to obtain the final desired geometry. A new analytical model was developed to predict springback and bend allowance simultaneously in air bending, and a user-friendly computer program, BEND (Version 3.0), was developed. Results obtained from the BEND program were compared to other analytical predictions and experimental results available in the literature. It was concluded that the proposed analytical model and the computer program predicted bend allowance and springback within acceptable accuracy.

The Application of Finite Element Techniques to the Analysis of an Automobile Structure: First Paper: Static Analysis of an Automobile Chassis Frame

1970 ◽  
Vol 185 (1) ◽  
pp. 665-674 ◽  
Author(s):  
R. Ali ◽  
J. L. Hedges ◽  
B. Mills
Keyword(s):  
Finite Element ◽  
Computer Program ◽  
Static Analysis ◽  
Cross Sections ◽  
Experimental Results ◽  
Finite Element Technique ◽  
Beam Elements ◽  
Manufacturing Tolerances ◽  
Element Technique

The finite element technique has been used for the static analysis of a chassis structure. A computer program was developed to predict static deflections under bending and torsion loads. The program is quite general, but its use has been restricted to structures consisting of beam elements only. The effects of shear deflections and tapered beams and manufacturing tolerances of cross sections are also considered. Predictions of static deflections are compared with experimental results.

Numerical Simulation of Mould Filling in Rheo-Diecasting Process of Semi-Solid Magnesium Alloys

2006 ◽  
Vol 116-117 ◽  
pp. 554-557 ◽  
Author(s):  
Shu Sen Wu ◽  
Jun Wen Zhao ◽  
Li Wan ◽  
Jirong Luo
Keyword(s):  
Numerical Simulation ◽  
Magnesium Alloy ◽  
Computer Program ◽  
Magnesium Alloys ◽  
Experimental Results ◽  
Air Entrapment ◽  
Mould Filling ◽  
Slurry Flows ◽  
Semi Solid ◽  
Numeral Simulation

The mould-filling behavior of rheo-diecasting of semi-solid magnesium alloy and diecasting of liquid magnesium alloy has been simulated with the computer program of numerical simulation developed by the authors. Results show that, under the same diecasting conditions, the filling behavior of rheo-diecasting of semi-solid metals is similar to the liquid diecasting, but mould filling of semi-solid slurry is steadier, and the slurry flows into the mould in a state similar to lamellar flow. The air entrapment in semi-solid process is much smaller than that of liquid diecasting, and the castings made with semi-solid rheo-diecasting excel those with liquid diecasting in quality. Experimental results are in accord with the results of numeral simulation.

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