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Vor 3 Tagen · Russell and his men, talented though they are, have blown themselves into a musical cul-de-sac. Possibly, if one read Russell’s book “The Lydian Chromatic Concept of Tonal Organization”, his aims might be clarified. But the age-old test of “music must be good if it sounds good” still applies. And frankly, the contents of ...
Vor 4 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.
Vor 4 Tagen · Understanding the Basics of Musical Modes. At its core, a mode is simply a type of scale, derived from a parent scale that is rearranged to start and end on a different note. For bass guitarists, modes offer a way to approach music theory that is both intuitive and practical. The major scale, with its seven modes, is the perfect starting point.
Vor 3 Tagen · Another application of the Zernike polynomials is found in the Extended Nijboer–Zernike theory of diffraction and aberrations. Zernike polynomials are widely used as basis functions of image moments.
Depends on context. But remember that this way of building chords from non-diatonic scales isn't really how the scale is usually used. Typically, "exotic scales" are used as the basis of melody, not as the entire basis of harmony, and you would typically not use all of the chords in the scale.
Vor 5 Tagen · The Lydian scale is the brightest of all the church modes and has a distinct, modern flavor over a I chord due to the non-diatonic (in the context of a I chord) #4 chord tone. For more on the Lydian scale, check out our article on the Lydian scale in all 12 keys on guitar and piano .
Vor 3 Tagen · The characteristic polynomial of M – sometimes called the chromatic polynomial, although it does not count colorings – is defined to be p M ( λ ) := ∑ S ⊆ E ( − 1 ) | S | λ r ( E ) − r ( S ) , {\displaystyle p_{M}(\lambda ):=\sum _{S\subseteq E}(-1)^{|S|}\lambda ^{r(E)-r(S)},}
