Uranium-lead (U-Pb) geochronology and Hafnium (Hf) isotope geochemistry of detrital zircons of the Harmony Formation of north central Nevada provide new insights into the tectonic evolution of the Late Paleozoic western Laurentian margin. Using laser-ablation inductively coupled plasma mass spectrometry, 10 arenite samples were analyzed for U-Pb ages, and 8 of these samples were further analyzed for Hf isotope ratios. Three of the sampled units have similar U-Pb age peaks and Hf isotope ratios, including a 1.0-1.4Ga peak with epsilon Hf values of +12 to -3 and a 2.5-2.7Ga peak with epsilon Hf values of +7 to -5. The remaining seven samples differ significantly from these three, but are similar to one another; having age peaks of 1.7-1.9Ga with epsilon Hf of +10 to -20 and age peaks of 2.3-2.7Ga with epsilon Hf of +6 to -8. The data confirm the subdivision of the Harmony Formation into two petrofacies: quartzose (Harmony A) and feldspathic (Harmony B). The three samples with 1.0-1.4 and 2.5-2.7Ga peaks are the Harmony A, which originated in the central Laurentian craton. The other seven samples are the Harmony B, which originated in eastern Alberta-western Saskatchewan, north of the Harmony A source. We propose that all Harmony Formation strata were deposited near eastern Alberta and subsequently tectonically interleaved with Roberts Mountains allochthon strata. We interpret that the entire package was tectonically transported south along the western Laurentian margin and then emplaced eastward onto the craton during the Late Devonian-Early Mississippian Antler orogeny.

The extended Lydian Locrian theory of harmony (ELL) is a system of analyzing harmonies and progressions according to their position along a vast spectrum of colors. The musical premise is that chords and progressions spanning upwards around the circle of fifths sound brighter, whereas chords and progressions spanning downwards around the circle of fifths sound darker. This simple premise gives rise to a complex but unified system of harmonic structures and relations, a system which provides a valuable tool for analyzing and composing music, especially of advanced tonal genres. ELL not only provides fruitful techniques for analyzing certain kinds of traditional harmonies and progressions but also provides a framework for discovering more exotic and colorful harmonies and progressions.

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This bachelor thesis explores the relationship between jazz and harmony from contemporary musical theatre through harmonic transcription and composing new music based on a specific type of harmonic language, to eventually result in a concert performed by jazz musicians. The study includes the historical differences of jazz and musical harmony, transcriptions of several harmonic movements from different contemporary musicals and my own compositional process. It will also describe the process of rehearsing and arranging the music, resulting in a live concert performed on March 20th 2023.  Concludingly, I have found that applying contemporary musical harmony to a jazz setting have resulted in a style of music where the rhythmical approach to the music is amplified due to the simplification of harmonic voices. I also found that it affected the musicians’ rhythmical phrasing into more of a straight eights style of playing.

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The design of many engineering systems can be a complex process, which means many possibilities and factors must be considered during problem formulation. The process of searching for a design that meets both performance and safety standards with reliable impact is the goal of structural optimization. Structural optimization is an approach whereby the structural design is subjected to being optimized in terms of weight while maintaining all design constraints such as stress, strain, and stability. Structural design optimization problems involve searching for the minimum of the stated objective function, usually the weight of the structure and constructability. Trusses are triangular frame works in which the members are subjected to essentially axial forces due to externally applied load at the joints only. Truss structures can be optimized by varying the structure’s size, shape, and topology. Although combining these three prototypes of optimization can ultimately a yield better result, the underlying mathematical model becomes complicated. Over the last decade, new optimization strategies based on metaheuristic algorithms have been devised to obtain the optimal design for structural systems. Harmony search (HS) is a metaheuristic algorithm proposed by Geem et al., inspired by the observation that the aim of music is to search for a perfect state of harmony. In this research, the implementation of HS algorithm has been applied to optimize the size of truss structures that results in the weight reduction of the truss members. The results obtained with HS were compared to those obtained from the original sizes before optimization, to verify the influence on the optimal design of truss structures subjected to stresses, deflections, vertical and lateral displacements, and buckling constrains. / Civil Engineering

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This thesis seeks to explore how geometry, music, and architecture can all interweave with each other. Music is based on the harmonic ratios of geometry. These relationships can also be used to inform the geometries of architecture. As with the aesthetics of music, architecture, too, is not an exact science that must follow rigid geometric rules. A work of music is made more beautiful when it smartly breaks the rules of order and gracefully bends the rules of harmony. Similarly, architecture can bend and break the rules. This is an academic exploration of creating a building form that starts with the rigid set of rules of harmonic geometry, but bends and breaks them by passing them through a filter of perspective to derive a new set of rules. / Master of Architecture