LEE- Müzik Lisansüstü Programı
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ÖgeComputational harmonic analysis with rhythmical weights(Graduate School, 2022-08-16) İkeda, Ayşe Ruhan ; Karadoğan, Can ; Mazzola, Guerino ; 409132003 ; MusicAnalysis of harmony is the first step in the analysis of common practice (Baroque, Classical and Romantic) period of Western music because in these genres musical structure is aligned with tonal motion and organicity is created primarily by harmony. The analysis includes finding regions of tonality/key, labeling chords and cadences, assigning functions to chords, finding prolonged harmonic functions and consequently forming a tree-like hierarchy. The result of this effort is the discovery of the harmonic motion and how musical entities function within this motion. This is how a music theorist analyses harmony based polyphonic music, i.e., music of the common practice period. A chord's function in its tonal context has an emotional projection that is perceived by the listeners: a harmonic tension that rises or falls, held in a suspension or resolved. A rise in harmonic tension raises an expectation for resolution and its resolution is an emotional relief. The fine balance between increase and decrease in harmonic tension through time is perceived by the emotionally sensitive listener. This ebb and flow in tension is a critical determinant of the aesthetics of harmonic language. In this thesis, we describe an algorithm for harmonic analysis of polyphonic music and demonstrate its implementation on the RUBATO Composer music composition and analysis environment. Our harmonic analysis model completes Riemann's unfinished program by assigning a function to any chord –not only triads and sevenths– based on the pitch content of the chord and the harmonic tension created between consecutive chords. As a background of music modeling, we overview mathematical approaches to music analysis at the symbolic level (i.e., note level and above) and then we examine how computational power can be used for modeling and analysis of music and musical processes. Then, we review similarities as well as differences between music and language and also musical structure analysis methodologies borrowed from linguistics research such as grammars and parsers. In Chapter 3, we give an overview of RUBATO Composer music composition and analysis environment including its historical line of development. We summarize its mathematical pillars and the software architecture. We also describe a number of rubettes that we designed and programmed on RUBATO for computational analysis purposes: a rubette that enables mixing of weights, and another rubette to translate a MIDI file into a MIDI denotator, and another one to be able to trim MIDI files. We also explain a rubette that translates harmonic analysis output to Lilypond, a music typesetting format. In Chapter 4, we give our motivation for computational harmonic analysis by reviewing related concepts such as tonality, harmony and tonal tension as well as a review of computational models for analysis of tonal tension and harmony. In Chapter 5, we describe our mathematical and computational models and their software implementation for analysis of harmony. During this thesis, we added some components to the Computational Harmonic Analysis Network –a suite of rubettes to analyze harmony. The additions are implementation of Viterbi algorithm for optimum path computation and direct-thirds method for Riemann Matrix computation.s The core of the thesis is however is being able to analyze harmony using also metric/rhythmic information of musical events. Our harmonic analysis model had previously assumed that chords have the same metric importance. However as musicians we know that meter in music imposes a hierarchy in perception of musical events in time, i.e., not every instant, and not every beat is equally important during perception. Thus, we extended our model to include metric importance of musical events. In Chapter 6, we give a review of recent research on perception of time and periodicity based on recent neuroscience research. Then, we focus on temporality in perception of music. We consider meter and rhythm as the skeleton system that span time, whereas melody and harmony are the flesh over the bones. This ontological order of where meter and rhythm is primordial is relevant for a vast majority of genres in music including music of the common practice period. Then, we overview metrical analysis algorithm based on Mazzola's metric analytics which reveals local (inner) meters in music and its implementation as the new MetroRubette. Finally, in Chapter 7, we describe a computational model for harmonic analysis of music where, next to pitch content and temporal position of neighboring chords, metric position of chords is also considered. Music is given to the analysis algorithm at a symbolic level as a MIDI file. We explain the new algorithm in detail and also give sample analyses with the algorithm's implementation as software on the RUBATO Composer. We compare harmonic analyses with and without metrical proximity, examine their differences and discuss results.
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ÖgeThe relationship between texture and tension in early French spectral music(Graduate School, 2022-06-21) Barış, Deniz Can ; Altınbüken, Eray ; 409191103 ; MusicThe aim of this thesis is to shed light on the relationship between texture and tension in early French spectral music and to make conclusions about the changes in texture that occur during the tension-increasing and tension-resolving processes. The analyses include excerpts from Gérard Grisey and Tristan Murail's early pieces, both of whom are well-known composers and pioneers of French spectral music. The excerpts chosen were determined by taking into account the diversity of texture and tension curves. Along with the early period, an excerpt from second-generation composer Philippe Hurel's music is analyzed. Combined with the composer's approaches, the findings of research projects, approaches to texture and tension, the classifications for the texture of the music, and some parameters impacting the tension process serve as the primary sources of analysis. The thesis's main flow includes a brief history of French spectral music, texture definitions and comparisons, common texture types, some textural developments that occurred in the first half of the twentieth century prior to the French spectral music period, the timbral approach and its use in texture, definitions of musical tension and resolution, parametric and cognitive studies applied to these concepts, and analyses applied to clarify the relationship between texture and tension based on a parametric method. The introduction, the study's purpose, and a brief history of French spectral music are included in Chapter 1. The period's approach, the process of formation, influences, composers and their compositional attitudes, and the employed composition techniques are discussed. In Chapter 2, the texture is defined in line with the different approaches and definitions in the literature. Monophony, homophony, polyphony, and heterophony are defined under the title of common texture types and exemplified under this topic. Under the next subheading, some important developments and innovations in the texture of music and its components -in the first half of the 20th century, that is from the early 1900s to the first years of the French spectral music period- are discussed and exemplified. In the last part of Chapter 2, timbre, which has an important place in French spectral music is defined in line with different approaches, and its use in texture prior to the period is briefly discussed. In Chapter 3, texture in French spectral music, its form as a result of the use of instrumental and orchestral synthesis techniques, static sound masses, micropolyphony, and the shapes of texture created by layering these forms are demonstrated with the excerpts from the music by the composers of the period. The primary source and approach utilized in this chapter is the categorization made by Kari E. Besharse on the texture of French spectral music. In Chapter 4, concepts of tension and release in literature are defined and discussed in line with cognitive and parametric studies and approaches. In addition to associating parameters such as tonal harmony and melody, the concepts of consonance and dissonance, pitch movements, dynamics, tempo, rhythm, range in Western art music, and a number of studies, draw attention to the subjectivity and multidimensionality of the concept of musical tension, are discussed. The next subheading focuses on the process of tension and release in French spectral music, the period that the thesis aims to shed light on. Some experiments and studies carried out in this field are shared. In this section, the approaches of some spectral composers to tension, the results obtained from the studies of the researchers, the contribution of some physical properties, such as the harmony created on the basis of timbre, and the roughness of the sound to the tension process are presented. Under the last heading of Chapter 4, the parameters to be used to determine the approximate tension curves and texture types in line with all these studies, the findings, and the approaches to be considered are specified. Selected excerpts of early French spectral music are analyzed with the help of the composers' notes, information gathered from the scores, parametric transcriptions, spectrograms, quotations, figures, and tables. In the conclusion part, the data obtained as a result of the analyses are discussed, and the findings on the relationship between texture and tension are shared. The thesis is concluded with an overall assessment of the applied analyses and suggestions for possible further studies.