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The whole set of diatonic scales is commonly defined as the set composed of these seven natural-note scales, together with all of their possible transpositions. As discussed elsewhere, different definitions of this set are sometimes adopted in the literature. Pitch constellations of the modern musical modes
Thus, S is the greater semitone, and X is the lesser one. S is commonly called the diatonic semitone (or minor second), while X is called the chromatic semitone (or augmented unison). The sizes of S and X can be compared to the just intonated ratio 18 : 17 which is 99.0 cents. S deviates from it by +18.2 cents, and X by −22.9 cents. These two ...
The diatonic semitone, d, called S above, is the change in pitch of a sequence of six notes spaced by fifths, e.g. from E to F or B to C. For any tuning, the diatonic semitone is the relative pitch difference on a standard keyboard between two white keys that have no black key between them.
This discrepancy, of about 23.46 cents, or nearly one quarter of a semitone, is known as a Pythagorean comma. To get around this problem, Pythagorean tuning constructs only twelve notes as above, with eleven fifths between them. For example, one may use only the 12 notes from E ♭ to G ♯. This, as shown above, implies that only eleven just ...
Namely, the apotome (about 113.69 cents, e.g. from C to C ♯) is the chromatic semitone, or augmented unison (A1), while the limma (about 90.23 cents, e.g. from C to D ♭) is the diatonic semitone, or minor second (m2). A ditone (or major third) is an interval formed by two major tones. In Pythagorean tuning, a major tone has a size of about ...
The distinction between diatonic and chromatic intervals is controversial, as it is based on the definition of diatonic scale, which is variable in the literature. For example, the interval B–E ♭ (a diminished fourth, occurring in the harmonic C-minor scale) is considered diatonic if the harmonic minor scales are considered diatonic as well ...
In music, a septimal diatonic semitone (or major diatonic semitone [1]) is the interval 15:14 Play ⓘ. It is about 119.44 cents . The septimal diatonic semitone may be derived from the harmonic series as the interval between the fourteenth and fifteenth harmonics ( B7b and B ).
Meantone temperaments can be specified in various ways: By what fraction of a syntonic comma the fifth is being flattened (as above), the width of the tempered perfect fifth in cents, or the ratio of the whole tone (in cents) to the diatonic semitone.