Topmusicanswers
Neo-Riemannian transformations can be modeled with several interrelated geometric structures. The Riemannian Tonnetz ("tonal grid," shown on the right) is a planar array of pitches along three simplicial axes, corresponding to the three consonant intervals.
- What is Tonnetz in music?
- What is triadic movement?
- What is parsimonious voice leading?
- What is Hexatonic pole?
What is Tonnetz in music?
A Tonnetz is a visual representation of pitches arranged such that perfect fifths are read from left to right, major thirds are read diagonally from the top left to the bottom right, and minor thirds are read diagonally from the bottom left to the top right. Any three pitches in a triangle form a major or minor triad.
What is triadic movement?
Music A chord of three tones, especially one built on a given root tone plus a major or minor third and a perfect fifth.
What is parsimonious voice leading?
Moreover, these transformations relate the important pairs of such triad relationships such as Parallel, Relative, or Leading-Tone Exchange. These types of voice-leading involving small steps between voices are often called parsimonious.
What is Hexatonic pole?
Hexatonic Poles and the Uncanny in Parsifal. richard cohn Example 1, reproduced from a 1930 harmony treatise of Sigfrid Karg-Elert, depicts a hexatonic pole, a progression (in either direction) between a major and a minor triad that features semitonal motion in each of the three upper voices.
