Search results
Results from the WOW.Com Content Network
List of pitch intervals as frequency ratios in intonation and tuning of musical instruments and performances. Topics referred to by the same term This disambiguation page lists articles associated with the title List of musical intervals .
Tomlin defines the "most compact" ordering as the one where, "the largest of the intervals between any two consecutive pitches is between the first and last pitch listed". [10] For example, the set (0,2) (a major second) is in normal form while the set (0,10) (a minor seventh, the inversion of a major second) is not, its normal form being (10,0).
Example of Z-relation on two pitch sets analyzable as or derivable from Z17, [1] with intervals between pitch classes labeled for ease of comparison between the two sets and their common interval vector, 212320. Musical set theory provides concepts for categorizing musical objects and describing their relationships.
Set 3-1 has three possible versions: [0 1 1 1 2 T], [0 1 1 T E 1], and [0 T T 1 E 1], where the subscripts indicate adjacency intervals. The normal form is the smallest "slice of pie" (shaded) or most compact form, in this case: [0 1 1 1 2 T]. This is a list of set classes, by Forte number. [1]
The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).
Comparison of two sets of musical intervals. The equal-tempered intervals are black; the Pythagorean intervals are green. Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals.
In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'" (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch classes. For example ...
Successive Z-related hexachords from act 3 of Wozzeck [4]: 79 Play ⓘ. In musical set theory, a Z-relation, also called isomeric relation, is a relation between two pitch class sets in which the two sets have the same intervallic content (and thus the same interval vector) but they are not transpositionally related (are of different T n-type ) or inversionally related (are of different T n /T ...