A daffynition (derived from daffy and definition) is a pun format involving the reinterpretation of an existing word, on the basis that it sounds like another word (or group of words).They are similar to transpositional puns, but often much less complex and easier to create.…
In many musical contexts, transpositionally equivalent chords are thought to be similar.Transpositional equivalence is a feature of musical set theory.The terms transposition and transposition equivalence allow the concept to be discussed as both an operation and relation, an activity and a state of being.…
This can be considered the central postulate of musical set theory.In practice, set-theoretic musical analysis often consists in the identification of non-obvious transpositional or inversional relationships between sets found in a piece.Some authors consider the operations of complementation and multiplication as well.…
Transpositional combinatoriality is the lack of shared pitch classes between a hexachord and one or more of its transpositions.
Some words don't go far beyond this basic transpositional rule, and sound much like their English source, while others differ in ways, one of those ways being the carrying of dentals.
It is a method of creating segments from sets, most often through registral difference, the opposite of derivation used in derived rows.More generally, in musical set theory partitioning is the division of the domain of pitch class sets into types, such as transpositional type, see equivalence class and cardinality.Partition is also an old name for types of compositions in several parts; there is no fixed meaning, and in several cases the term was reportedly interchanged with various other terms.…
Sets belonging to the same transpositional set class are very similar-sounding; while sets belonging to the same transpositional/inversional set class are fairly similar sounding.Because of this, music theorists often consider set classes to be basic objects of musical interest.…
The jokes are usually told in broken English, without articles, in the way that a native Russian speaker might, which makes such reversals easier.A Russian reversal is an example of both an antimetabole and a transpositional pun.…
Also, after 1.c4 c6, White can transpose into the Polish Opening, Outflank Variation, by playing 2.b4!?, which can be used as a surprise weapon if Black does not know very much about the Polish Opening.The many different transpositional possibilities available to White make the English a slippery opening for Black to defend against, and make it necessary for him to consider carefully what move order to employ.…
The name was appropriated by Ptolemy of Alexandria for one of his seven tonoi, or transposition keys.Ptolemy's system differed from the earlier Aristoxenian model, which had thirteen transpositional levels each a semitone from its neighbours.Ptolemy substituted a diatonic sequence of seven transpositions pitched either a whole tone or a semitone apart.…
She also introduced new terminology in order to 'simplify' the labelling and categorization of the set-classes, and to draw attention to the specific transpositional properties within a field.
A transpositional pun is a complicated pun format with two aspects.It involves transposing the words in a well-known phrase or saying to get a daffynition-like clever redefinition of a well-known word unrelated to the original phrase.…
A particular transformation (prime, inversion, retrograde, retrograde-inversion) together with a choice of transpositional level is referred to as a set form or row form.
The redefinition is thus the first aspect, the transposition the second aspect.As a result, transpositional puns are considered among the most difficult to create, and commonly the most challenging to comprehend, particularly for non-native speakers of the language in which they're given (most commonly English).…
The musical operation of chromatic transposition shifts every note in a melody by the same distance in pitch class space.In general, for a given scale S, the scalar transpositions of a line L can be grouped into categories, or transpositional set classes, whose members are related by chromatic transposition.In diatonic set theory cardinality equals variety when, for any melodic line L in a particular scale S, the number of these classes is equal to the number of distinct pitch classes in the line L.…
Inversional equivalency or inversional symmetry is the concept that intervals, chords, and other sets of pitches are the same when inverted.It is similar to enharmonic equivalency and octave equivalency and even transpositional equivalency.Inversional equivalency is used little in tonal theory, though it is assumed that sets that can be inverted into each other are remotely in common.…
Howard Hanson in his Harmonic Materials of Modern Music devotes several pages to the major Locrian, or more precisely to its transpositional set class, a concept Hanson pioneered.He names this transpositional class the seven-tone impure major second scale, and notes that the various modes of the major Locrian can all be defined as the whole tone scale with one additional note, and where that note occurs does not affect the transpositional class.He also notes that the scale has the property that every three-note chord possible in the twelve tone chromatic scale already appears in the major Locrian.…
Isomorphic keyboards have the unique properties of transpositional invariance and tuning invariance when used with rank-2 temperaments of just intonation.That is, they expose a given musical interval with "the same shape" in every octave of every key of every tuning of such a temperament.…
Transpositional modulation (TM) is a proposed new RF modulation technique developed by Richard Gerdes.
Inversion about a pitch axis is a compound operation much like set theory's transpositional inversion, however in pitch axis inversion the transposition may be chromatic or diatonic transposition.