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A phonon is a collective excitation in a periodic, elastic arrangement of atoms or molecules in condensed matter, specifically in solids and some liquids.A type of quasiparticle in physics, [1] a phonon is an excited state in the quantum mechanical quantization of the modes of vibrations for elastic structures of interacting particles.
The primary difference between these two scales is the seventh degree, with the double harmonic majorb7 scale having a flat seventh (♭7) and the Double Harmonic Major having a natural seventh (7). The scale contains a built-in tritone substitution , a dominant seventh chord a half step above the root, with strong harmonic movement towards the ...
Schematic representation of the absorption line shape of an electronic excitation. The narrow component at the frequency ω′ is the zero-phonon line and the broader feature is the phonon sideband. In emission, the relative positions of the two components are mirrored about the center of the zero-phonon line at ω′.
The term "chiral" in general is used to describe the object that is non-superposable on its mirror image. [18] In chemistry, chirality usually refers to molecules. Two mirror images of a chiral molecule are called enantiomers or optical isomers. Pairs of enantiomers are often designated as "right-", "left-handed" or, if they have no bias ...
A narrower undecimal major fourth is found at 537 cents (the ratio 15:11). 31 equal temperament has an interval of 542 cents, which lies in between the two types of undecimal major fourth. The term may also be applied to the "comma-deficient major fourth" (or "chromatic major fourth" [3]), which is the ratio 25:18, or 568.72 cents (F ♯). [4]
In the key of C major, these would be: D minor, E minor, F major, G major, A minor, and C minor. Despite being three sharps or flats away from the original key in the circle of fifths, parallel keys are also considered as closely related keys as the tonal center is the same, and this makes this key have an affinity with the original key.
As in the case of Emil Sjögren's Legends for organ, the collection is divided in two volumes, where the first has the pieces ordered in a perfect half-circle of fifths from C major to G# minor, and the second volume is ordered in a half-circle of fifths backwards, i.e. starting with F major and ending with E♭ minor.
Apotome and limma are the two kinds of semitones defined in Pythagorean tuning. 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).