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In music theory a diatonic scale is a heptatonic (seven-note) scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps.
Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...
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 ...
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 ...
Melodies can be based on a diatonic scale and maintain its tonal characteristics but contain many accidentals, up to all twelve tones of the chromatic scale, such as the opening of Henry Purcell's "Thy Hand, Belinda" from Dido and Aeneas (1689) with figured bass), which features eleven of twelve pitches while chromatically descending by half steps, [1] the missing pitch being sung later.
For the ordinary diatonic scales described here, the T-s are tones and the s-s are semitones which are half, or approximately half the size of the tone.But in the more general regular diatonic tunings, the two steps can be of any relation within the range between T = 171.43 ¢ (for s = T at the high extreme) and T = 240 ¢ (for s = 0 at the low extreme) in musical cents (fifth, p5, between 685 ...
In music theory, a distinction is made [7] between a diatonic semitone, or minor second (an interval encompassing two different staff positions, e.g. from C to D ♭) and a chromatic semitone or augmented unison (an interval between two notes at the same staff position, e.g. from C to C ♯).
Although closer in size to the Pythagorean apotome than to the limma, it has been so called because of its function as a diatonic semitone rather than a chromatic one. The 5-limit limma (now a diesis ), 128 / 125 , the amount by which three just major thirds fall short of an octave ( play ⓘ ).