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  1. Vor 4 Tagen · Because tritone substitute's root is chromatic, it cannot use dissonant tensions b9, b13 (because they lead the ear toward outside of the key of the song). So Lydian b7 is used for tritone substitute, while secondary dominant is free to use (alt) tension set

  2. Vor 5 Tagen · Abstract. Chapter 11 is devoted to the small chorale settings Bach composed in Weimar—miscellaneous manual works, chorale fughettas, and pieces earmarked for the accompaniment of congregational hymns: figured-bass and interlude settings. Here, too, Bach demonstrated astonishing imagination, taking the manual chorale to unparalleled heights.

  3. Vor 5 Tagen · Lerdahl’s theory of TPS is based on the notion of embeddings, which are hierarchical subsets of pitch classes ordered by their stability. The embeddings are represented by the basic space, which consists of five levels, each containing a different number of pitch classes (or pitch in the case of melodic analysis, as shown in Table 1 for the context of the tonic in Ionian mode).

  4. Vor 5 Tagen · Non-Abelian groups and Cayley graphs: Basic representation theory. Property T and its connection to eigen-values. Margulis Theorem - expansion in SL_n(p), n>2. Graphs of groups acting on sets. Property Tau and its connection to eigen-values. Selberg's theorem and Expansion in SL_2(p). Expansion for all gen sets of SL_2(Z) - is expansion a property of the group? (Lubotzky-Weiss). Elementary ...

  5. Vor 5 Tagen · Chromaticism is an approach to creating music which incorporates notes from outside of the normal scale for the music’s central tonality. In basic terms, this means that the music has notes that may sound "sour" to the ears of many listeners instead of harmonious. These notes can be incorporated as part of a chord or as an element of an ...

  6. Vor 5 Tagen · Optical aberrations are deviations from a perfect, mathematical model. It is important to note that they are not caused by any physical, optical, or mechanical flaws. Rather, they can be caused by the lens shape itself, or the placement of optical elements within a system, due to the wave nature of light. Optical systems are typically designed ...

  7. Vor einem Tag · Imperial age See also: List of Byzantine composers The tradition of eastern liturgical chant, encompassing the Greek -speaking world, developed even before the establishment of the new Roman capital, Constantinople, in 330 until its fall in 1453. Byzantine music was influenced by Hellenistic music traditions, classic Greek music as well as religious music traditions of Syriac and Hebrew ...