Diatonic Sets A set is a collection of like objects, a class of elements. The set can be made up of pitches as easily as any other kind of object.
A scale
can be seen as a collection of pitch objects that form a pitch set.
What is a pitch class collection?
A pitch class is
a set of all pitches that share the same chroma
, just like “the set of all white things” is the collection of all white objects. all refer to the same pitch, hence share the same chroma, and therefore belong to the same pitch class; a phenomenon called enharmonic equivalence.
What is a collection of pitches called?
Pitch is a word used to refer to the frequency of a musical note. …
A pitch collection
is, as the name suggests, a collection of pitches used in a composition. This definition includes some familiar materials: the major scale and the minor scale are pitch collections, as are major chords and minor chords.
What is an Octatonic collection?
octatonic collection:
an eight-note collection that is formed by alternating whole- and half-steps
. hexatonic collection: a six-note collection generated with the pitch interval pattern 1–3–1–3–1–3.
What are pitch sets?
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.
What does Tetrachords mean in music?
Tetrachord,
musical scale of four notes, bounded by the interval of a perfect fourth
(an interval the size of two and one-half steps, e.g., c–f). … In Western music, the tetrachord is an ascending series of four notes.
Is a set of pitches arranged in ascending order?
Is a set of pitches arranged in ascending order? Answer. In music theory, a scale is any set of musical notes ordered by fundamental frequency or pitch.
A scale ordered by increasing pitch is
an ascending scale, and a scale ordered by decreasing pitch is a descending scale.
What are the 12 pitch classes?
There are 12 pitch classes in standard Western music:
C, C#, D, D#, E, F, F#, G, G#, A, A# and B
. Every pitch that can be called “an F”, say, is collected together into the pitch class that we just call “F”.
What is the difference between pitch and pitch class?
Pitch is
relative highess or lowness of sound
. Individual pitches are specifically located and notated on the staff. Pitch-classes are all those pitches which share the same letter name, or share the same “pitch-space” but have different spellings.
What is Lydian mixolydian?
The C Lydian-Mixolydian uses
eight notes per octave
. Because of this same reason it is a member of the so called Octatonic -scales that have Eight-note (or Eight-tone). On the piano keyboard, it is made up of two black keys: F#, and Bb and five white keys: C, D, E, G, and A.
What are the 3 diminished scales?
The Diminished Scale
Because it is a symmetrical scale (and much like the diminished chord) there are only three unique diminished scales:
C = E♭ = G♭ = A diminished scale
.
D♭ = E = G = B♭ diminished scale
.
D = F = A♭ = B diminished scale
.
What are the two most common scales used in music?
In the musical traditions of the western hemisphere, the most common scales today are
major and minor scales
. But they are actually only two out of many, many other fantastic scales!
How do you identify an octatonic scale?
The numbers of the names indicate all that is needed to identify a particular octatonic scale:
two consecutive notes within the scale
. 0 is C♮, 1 is C#, and 2 is D♮. Thus, Oct 0, 2 is the octatonic with the notes C and D in it.
What is an ordered pitch class interval?
Ordered pitch-class intervals
measure the distance between pitch classes, always ascending
. This is visualized most easily by picturing the twelve tones around a clock face, and measuring the interval by going around the circle clockwise. Thus, from C to E = 4, but E to C = 8 (Example 4).
What is the formula of set?
What Is the Formula of Sets? The set formula is given in general as
n(A∪B) = n(A) + n(B) – n(A⋂B)
, where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.
What Is set theory?
Set theory is
the mathematical theory of well-determined collections, called sets
, of objects that are called members, or elements, of the set. … So, the essence of set theory is the study of infinite sets, and therefore it can be defined as the mathematical theory of the actual—as opposed to potential—infinite.
