In Appalachian Spring, Aaron Copland creates a unique tonal environment. Although often considered a tonal work, it contains many non-functional progressions and techniques that belie common-practice norms. The entire first movement, and sections of other movements contain no harmonic motion, in part because tonic and dominant chords sound together as a single sonority. In other movements, harmonic motion, in part because tonic and dominant chords sound together as a single sonority. In other movements, harmonic motion is increased by shifts to third-related keys, and non-functional progressions. Also, the variations on the melody "Simple Gifts" never employ common-practice techniques. Through the free use of materials, Copland creates an individualistic example of tonality in twentieth-century music.

The thesis speculates upon the source of Scriabin's pitch selection in several of his atonal works, concluding that Scriabin's "principle" stems from his own "mystic chord," its inversion at the major third, and the transposition of these two chords at the tritone. These four chords share the same invariant harmonic basis, Scriabin's characteristic French-sixth sonority. The quartet of chords combine to form two nine-note scales, each containing as a subset the octatonic scale. The thesis demonstrates how Scriabin composed his works in harmonic blocks, utilizing only the notes from these scales. The thesis traces Scriabin's atonal style back to his tonal period. His fascination with tritone adjacencies and relationships is discussed, and serves to support the theory. Other harmonic and linear theories are discussed. Also, the thesis shows how Scriabin used these scales structurally in his works.

Chinese music has one of the longest histories of development of all music cultures of the world. A system of music (theory) was formulated, in its unique way, but is differed fundamentally from its occidental counterpart. The discussion of this thesis focuses on the following two aspects: (1) the observations on those musical and non-musical factors, which had conditioned the course of development of Chinese music and (2) the analysis of selected examples to summarize the tonal structures and modal patterns, particularly, on the modal and modulatory analysis. A comparison of similarities and differences on melodic gesture between Chinese and Western tonal practice is also included in this study.

The purpose of this study is to examine Sonata No. 2 in detail from many analytical perspectives including melodies, rhythms, harmonic progressions, tonal plans, voice leading, and cadential patterns on macro- and micro-levels. It is believed that a more in-depth discussion of the composition from the perspective of harmony and voice leading may provide answer for the questions raised, and correct some misinterpretations in the works of certain writers. Furthermore, through analysis of Sonata No. 2. this study will show the relationship of the use of formal, stylistic, harmonic features between Mendelssohn and other composers of the eighteenth and nineteenth centuries.

This thesis examines the relationships between popular contemporary musical styles and classic-era art music. Analysis of pop-rock songs, and their referential treatment in art rock, classical music, and society will be examined. Pop-rock musicians borrow from the masters of the past and from each other. Rock guitarists such as Eddie Van Halen employ a virtuosic technique suggestive of Liszt and Paganini. The group Rush borrowed freely from opera seria. Frank Zappa referenced contemporary musicians as well as classical techniques. Referential treatment in popular music and the recent advancements in technology, have challenged copyright law. How these treatments and technologies affect copyright legislators and musicians will be discussed.