Non-uniform beams and stiff strings isospectral to axially loaded uniform beams and piano strings

In this paper, we derive analytical expressions for mass and stiffness functions of transversely vibrating clamped-clamped non-uniform beams under no axial loads, which are isospectral to a given uniform axially loaded beam. Examples of such axially loaded beams are beam columns (compressive axial load) and piano strings (tensile axial load). The Barcilon-Gottlieb transformation is invoked to transform the non-uniform beam equation into the axially loaded uniform beam equation. The coupled ODEs involved in this transformation are solved for two specific cases (pq (z) = k (0) and q = q (0)), and analytical solutions for mass and stiffness are obtained. Examples of beams having a rectangular cross section are shown as a practical application of the analysis. Some non-uniform beams are found whose frequencies are known exactly since uniform axially loaded beams with clamped ends have closed-form solutions. In addition, we show that the tension required in a stiff piano string with hinged ends can be adjusted by changing the mass and stiffness functions of a stiff string, retaining its natural frequencies.

Major and minor music compared to excited and subdued speech.

The affective impact of music arises from a variety of factors, including intensity, tempo, rhythm, and tonal relationships. The emotional coloring evoked by intensity, tempo, and rhythm appears to arise from association with the characteristics of human behavior in the corresponding condition; however, how and why particular tonal relationships in music convey distinct emotional effects are not clear. The hypothesis examined here is that major and minor tone collections elicit different affective reactions because their spectra are similar to the spectra of voiced speech uttered in different emotional states. To evaluate this possibility the spectra of the intervals that distinguish major and minor music were compared to the spectra of voiced segments in excited and subdued speech using fundamental frequency and frequency ratios as measures. Consistent with the hypothesis, the spectra of major intervals are more similar to spectra found in excited speech, whereas the spectra of particular minor intervals are more similar to the spectra of subdued speech. These results suggest that the characteristic affective impact of major and minor tone collections arises from associations routinely made between particular musical intervals and voiced speech.

Exploring Musical Diversity in the Collaborative Repertoire from 1880 through 1963

It is essential in musical performance not only to convey the unique language of the composers but also to approach each composition from the perspective of its style. During the 20th century, diverse musical idioms co-existed, sometimes mixing or fusing, yet retaining recognizable characteristics and thereby remaining distinctive. This dissertation explores myriad examples from Late Romanticism/Post- Romanticism, Naturalism, Neo-Classicism, Nationalism and Impressionism composed during this unusually rich period. In order to explore a broad range of collaborative repertoire and to deepen my knowledge of the styles and performance practices relating to these pieces, I studied and performed the repertoire with pianist Eunae Baik–Kim, clarinetist Jihoon Chang, and singers Joshua Brown and Young Joo Lee. The first program featured Post-Romantic, Neo-Classic and Impressionist two-piano works composed by Debussy, Rachmaninoff, and Stravinsky. Each of the three composers used their own distinctive harmonies, rhythms, melodic inventions, pedaling and figurations. In all of the works, both piano parts were densely interwoven, having equal importance. Lied and operatic aria was the focus of the second recital. Brahms’ Vier Ernste Gesänge Op. 121, Ravel’s Don Quichotte a Dulcineé and Italian, French and German operatic arias were the examples of Post-Romanticism and Nationalism. The representative composers were Verdi, Massenet, Korngold, Leoncavallo, Ravel and Wagner. Despite the fact that all of the repertoire was written in traditional musical forms, the composers’ unique voices mark each work as belonging to a particular genre. The third recital focused on Post-Romantic and Impressionistic music written for clarinet and piano: the Première Rhapsodie by Debussy, the Sonata by Poulenc and Brahms’ Sonata in F minor Op. 120, No. 1. These works, although profoundly different in style, share elements of simplicity, clarity and elegance as well as technical virtuosity, articulation and profound musical depth. The three recitals which comprise this dissertation project were performed at the University of Maryland Gildenhorn Recital Hall on February 27, 2010, October 25, 2010, and January 31, 2011. The recitals were recorded on compact disc and are archived within the Digital Repository at the University of Maryland (DRUM).

LUCIANO BERIO’S NATURALE: A STORY COMBINING FOLK MUSIC AND ART MUSIC

The study of a score by a serious performer is a fundamental step in the process of arriving at a knowledgeable and deeply informed approach to performing a piece of music. In order to obtain this knowledge numerous aspects of the score must be taken into consideration. It is the intent of this dissertation to gather and analyze the information concerning Naturale, a work written by Luciano Berio in 1985 for viola, percussion and recorded voice, based on Sicilian folk songs. All the aspects surrounding Naturale’s existence are taken into consideration in this study. First, it is important to reflect on Berio’s compositional style and traits, the manner in which he relates his works one to another, what he sees in folk music and his own personal desire to intertwine art music and folk music. For Berio Naturale is not an isolated venture into the realm of mixing folk music and his own avant-garde style; it is instead one of many works resulting from his long-standing relationship with folk music. Another essential aspect in this case is the study of Sicilian folk music itself, and the sources used by Berio to find the songs by which he was inspired. The work is examined section by section with figures showing both excerpts of Naturale as well as the original songs with their translations. An analysis containing harmonic, thematic and formal aspects of the score was developed in order to arrive at a better understanding of the structure and pacing of the piece. For this research the author went to Italy to conduct an interview with Maestro Aldo Bennici, the Sicilian violist for whom Naturale was composed. This interview helped in the discovery of two more songs used by Berio that have not to this point been identified in any other document. Bennici’s outstanding testimony portrayed the expressive character of this music and the evocative imagery behind this score. I hope to bring this knowledge to other performers, that they may fully understand and appreciate the unique beauty and power of Berio’s Naturale.

Juxtaposition and Non-Motion: Varese Bridges Modernism and Electroacoustic Music

Edgard Vare` se’s Poe` me e´ lectronique can be viewed as a bridge between early twentieth-century modernism and electroacoustic music. This connection to early modernism is most clearly seen in its use of musical juxtaposition, a favoured technique of early modernist composers, especially those active in Paris. Juxtaposition and non-motion are considered here, particularly in relationship to Smalley’s exposition of spectromorphology (Smalley 1986), which in its preoccupation with motion omits any significant consideration of non-motion. Juxtaposition and non-motion have an important history within twentieth-century music, and as an early classic of electroacoustic music, Poe` me e´ lectronique is a particularly striking example of a composition that is rich in juxtapositions similar to those found in passages of early modernist music. Examining Poe` me e´ lectronique through the lens of juxtaposition and non-motion reveals how the organisation of its juxtaposed sounds encourages the experience of sound structure suspended time.