Inversionally equivalent pc sets relation with transposition?



Asked by: Palden Washington

How to transpose pitch class set?





To transpose a pitch class set up n semitones, simply add n to each pitch class number. So, if we’re playing a major triad at the root note we have {0, 4, 7}, and if we move it up two semitones we get {2, 6, 9}. To transpose down n semitones it’s easier if we transpose up 12 – n instead.

How do you transpose a computer set?

A pitch class set (pc set) is a group of pitch classes. Normal order is a way of naming a pitch class set. Normal order is the smallest possible arrangement of pitch classes, in ascending order. To transpose a set by Tn, add n to each integer of the set.

How to invert pc sets?

The TnI operation can be broken down into four stages: Make sure the given set is in normal form. Invert the pcs of the set around 0, using the consistent mapping given above.



1. Place the set in normal form: [3,5,8]
2. Invert its pcs around 0: 3 5 8 9 7 4
3. Place the resulting set in normal form: [4,7,9]

How to invert pitch class sets?

Half the amount of the transposition to be applied. For example to transpose the inversion by eight semitones rotate the access to half that value for 2 transpose x 7 semitones rotate.

What is pitch class set?





More exactly, a pitch-class set is a numerical representation consisting of distinct integers (i.e., without duplicates). The elements of a set may be manifested in music as simultaneous chords, successive tones (as in a melody), or both.

How do you find the pitch of a class set?

This is the largest interval in the trike board our wraparound interval the next step reading clockwise start on 0 and build a pitch class set using the intervals in the given.

What is octave equivalence?

Octave equivalence describes the perceived similarity of notes separated by an octave or a doubling in frequency. In humans, octave equivalence perception is used in vocal learning, enabling young children to approximate adult sounds where the pitch lies outside of their vocal range.

Is B3 a pitch class?

A pitch class appears within a set at most once; we may have pitches A3, B3, C4, and B4, but the pitch-class set they represent is {A B C}.

Is Forte a pitch?

In musical set theory, a Forte number is the pair of numbers Allen Forte assigned to the prime form of each pitch class set of three or more members in The Structure of Atonal Music.



What are crescendos and decrescendos?

crescendo (abbreviated cresc.) translates as “increasing” (literally “growing”) decrescendo (abbreviated to decresc.) translates as “decreasing”. diminuendo (abbreviated dim.) translates as “diminishing”.

Is legato a dynamic?

Dynamics refers to the volume of a sound or note, but can also refer to every aspect of the execution of a given piece, either stylistic (staccato, legato etc.) or functional (velocity).