WebJun 30, 2024 · Ordered Pitch-Class Intervals; Interval Classes (IC) Summary; Pitch-Class Sets, Normal Order, and Transformations. Brian Moseley and Megan Lavengood. Pitch-Class Sets; Normal Order; Transposition; Inversion; Using the Clock Face to Transpose and Invert; Set Class and Prime Form. http://openmusictheory.github.io/normalOrder.html
22b Lesson - Pitch-class integer notation - Integrated Music Theory
The unordered pitch class interval i(a, b) may be defined as where i⟨a, b⟩ is an ordered pitch-class interval (Rahn 1980, 28). While notating unordered intervals with parentheses, as in the example directly above, is perhaps the standard, some theorists, including Robert Morris (1991), prefer to use braces, as in i{a, b}. Both notations are considered acceptable. WebPage 2. 2. Intervals and interval classes. Like the traditional pitch-class names, the traditional names of intervals are also biased by notions of tonal context; for instance, in tonal music, a minor 7th (say, C up to B-flat) and an augmented 6th (C up to A-sharp) are different intervals. Since such contexts are absent in non-tonal music ... notmycar game
23b Lesson - Pitch-class integer notation - Integrated Music Theory
WebJul 19, 2024 · Ordered pitch intervals should always have a “+” or “-” sign appended to them, representing the direction we have to travel. The ordered pitch interval from G4 to B-flat5 … WebJul 19, 2024 · In order for a pitch-class set to be transpositionally or inversionally related to some other pitch class set, they must share the same collection of intervals. This is most easily grasped by remembering that all major and minor triads have the same interval content (M3, m3, and P5). The ordered pitch interval. is the number of semitones that separates one pitch from another, upward or downward. It is thus more specific than the unordered pitch interval in that it represents the directionality of the interval. An ordered pitch interval always includes a plus or minus sign. Thus this interval type can describe a melodic as well as a harmonic interval. The unordered pitch interval does not include directionality information and is thus less specific … how to sharpen a peeler