Diatonic set theory is a subdivision or application of musical set theory which applies the techniques and analysis of discrete mathematics to properties...

In music theory, a diatonic scale is any heptatonic scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in...

function of the extent of intersection between diatonic PC collections of tonal systems". In diatonic set theory the common tone theorem explains that scales...

In diatonic set theory a generic interval is the number of scale steps between notes of a collection or scale. The largest generic interval is one less...

In diatonic set theory structure implies multiplicity is a quality of a collection or scale. For collections or scales which have this property, the interval...

Diatonic and chromatic are terms in music theory that are used to characterize scales. The terms are also applied to musical instruments, intervals, chords...

algorithm Equidistant set Bisect (philately), the use of postage stamp halves Bisector (music), a half octave in diatonic set theory Bisection (software...

The Ionian mode is a musical mode or, in modern usage, a diatonic scale also called the major scale. It is named after the Ionian Greeks. It is the name...

Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts...

and Interval Cycles", 79. Johnson, Timothy (2003). Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals. Key College...

as 0. For unordered pitch-class intervals, see interval class. In diatonic set theory, specific and generic intervals are distinguished. Specific intervals...

semantically meaningful Coherence (music theory), a synonym for strict Rothenberg propriety in diatonic set theory Coherent optical module, a hot-pluggable...

categories, or transpositional set classes, whose members are related by chromatic transposition. In diatonic set theory cardinality equals variety when...

the tonic of a major or minor key, and each of these keys will have a diatonic scale associated with it. The circle diagram shows the number of sharps...

chromatic as well as diatonic relationships to a tonic, in contrast to the usual diatonic concept of Tonart. In the neo-Riemannian theory of the late 20th...

In diatonic set theory, a bisector divides the octave approximately in half (the equal tempered tritone is exactly half the octave) and may be used in...

Musicology (Palacký University, Faculty of Philosophy) Claudio Di Veroli Diatonic set theory Dickinson classification Documentation Centre for Music Ecomusicology...

the mathematical foundations of diatonic scale theory. Jack Douthett and Richard Krantz introduced maximally even sets to the mathematics literature. A...

G major.") While traditional musical set theory focuses on the makeup of musical objects, transformational theory focuses on the intervals or types of...

like this implies that a tonic is specified. For instance, the 7-tone diatonic scale may become the major scale once the proper degree has been chosen...

so far are several accordion layouts. Tonnetz Spiral array model Diatonic set theory Emancipation of the dissonance Unified field Vowel space Color space...

or scale; one of the medieval church modes; or a modern musical mode or diatonic scale, related to the medieval mode. (The Hypomixolydian mode of medieval...

semitones, one obtains the pitches E4–G♯4–B4. Diatonic transposition is scalar transposition within a diatonic scale (the most common kind of scale, indicated...

Westergaardian theory consists of the following two claims about notes: Starting from a specific type of primitive structure (a diatonic collection with...

In diatonic set theory, Rothenberg propriety is an important concept, lack of contradiction and ambiguity, in the general theory of musical scales which...

subsets of the chromatic scale such as diatonic scales. While the chromatic scale is fundamental in western music theory, it is seldom directly used in its...

any note of a musical scale. Therefore, a seven-note diatonic scale allows seven basic diatonic triads, each degree of the scale becoming the root of...

carried out after inversion. However, unlike in set theory, the transposition may be a chromatic or diatonic transposition. Thus, if D-A-G (P5 up, M2 down)...

a particular set of octave species or scales; the medieval Phrygian mode, and the modern conception of the Phrygian mode as a diatonic scale, based on...

illusion Diapason Diaschisma * Diatessaron Diatonic and chromatic Diatonic hexachord Diatonic scale Diatonic set theory Didymus the Musician Diegetic music Diesis...