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Diminished Fourth
In classical music from Western culture, a diminished fourth () is an Interval (music), interval produced by Diminution, narrowing a perfect fourth by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . Specific example of an d4 not given but general example of perfect intervals described. For example, the interval from C to F is a perfect fourth, five semitones wide, and both the intervals from C to F, and from C to F are diminished fourths, spanning four semitones. Being diminished, it is considered a consonance and dissonance, dissonant interval. A diminished fourth is enharmonically equivalent to a major third; that is, it spans the same number of semitones, and they are physically the same pitch in twelve-tone equal temperament. For example, B–D is a major third; but if the same pitches are spelled B and E, as occurs in the C harmonic minor scale, the interval is instead a diminished fourth. In other tunings, however, they are no ...
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Augmented Fifth
In Western classical music, an augmented fifth () is an interval produced by widening a perfect fifth by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . For instance, the interval from C to G is a perfect fifth, seven semitones wide, and both the intervals from C to G, and from C to G are augmented fifths, spanning eight semitones. Being augmented, it is considered a dissonant interval. Its inversion is the diminished fourth, and its enharmonic equivalent is the minor sixth. The augmented fifth only began to make an appearance at the beginning of the common practice period of music as a consequence of composers seeking to strengthen the normally weak seventh degree when composing music in minor modes. This was achieved by chromatically raising the seventh degree (or subtonic) to match that of the unstable seventh degree (or leading tone) of the major mode (an increasingly widespread practice that led to the creation ...
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Enharmonically Equivalent
In music, two written notes have enharmonic equivalence if they produce the same pitch but are notated differently. Similarly, written intervals, chords, or key signatures are considered enharmonic if they represent identical pitches that are notated differently. The term derives from Latin , in turn from Late Latin , from Ancient Greek (), from ('in') and ('harmony'). Definition The predominant tuning system in Western music is twelve-tone equal temperament (12 ), where each octave is divided into twelve equivalent half steps or semitones. The notes F and G are a whole step apart, so the note one semitone above F (F) and the note one semitone below G (G) indicate the same pitch. These written notes are ''enharmonic'', or ''enharmonically equivalent''. The choice of notation for a pitch can depend on its role in harmony; this notation keeps modern music compatible with earlier tuning systems, such as meantone temperaments. The choice can also depend on the note's readab ...
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Schismatic Temperament
A schismatic temperament is a musical tuning system that results from tempering the schisma of 32805:32768 (1.9537 cents) to a unison. It is also called the schismic temperament, Helmholtz temperament, or quasi-Pythagorean temperament. Construction In Pythagorean tuning all notes are tuned as a number of perfect fifths (701.96 cents ). The major third above C, E, is considered four fifths above C. This causes the Pythagorean major third, E (407.82 cents ), to differ from the just major third, E (386.31 cents ): the Pythagorean third is sharper than the just third by 21.51 cents (a syntonic comma ). :C — G — D — A — E Ellis's "skhismic temperament". instead uses the note eight fifths ''below'' C, F (384.36 cents ), the Pythagorean diminished fourth or schismatic major third. Though spelled "incorrectly" for a major third, this note is only 1.95 cents (a schisma) flat of E, and thus more in tune than the Pythagorean major third. As Ellis puts it, "the Fifths should be ...
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Septimal Major Third
In music, the septimal major third , also called the supermajor third (by Hermann von Helmholtz among others Hermann L. F. von Helmholtz (2007). ''Sensations of Tone'', p. 187. .), septimal supermajor third, and sometimes '' Bohlen–Pierce third'' is the musical interval exactly or approximately equal to a just 9:7 ratioAndrew Horner, Lydia Ayres (2002). ''Cooking with Csound: Woodwind and Brass Recipes'', p. 131. . "Super-Major Second". of frequencies, or alternately 14:11. It is equal to 435 cents, sharper than a just major third (5:4) by the septimal quarter tone (36:35) (). In 24-TET the septimal major third is approximated by 9 quarter tones, or 450 cents (). Both 24 and 19 equal temperament map the septimal major third and the septimal narrow fourth (21:16) to the same interval. This interval has a characteristic brassy sound which is much less sweet than a pure major third, but is classed as a 9-limit consonance. Together with the root 1:1 and the perfect fifth of 3:2 ...
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31 Equal Temperament
In music, 31 equal temperament, which can also be abbreviated (31 tone ) or (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equally-proportioned steps (equal frequency ratios). Each step represents a frequency ratio of , or 38.71  cents (). is a very good approximation of quarter-comma meantone temperament. More generally, it is a regular diatonic tuning in which the tempered perfect fifth is equal to 696.77 cents, as shown in Figure 1. On an isomorphic keyboard, the fingering of music composed in is precisely the same as it is in any other syntonic tuning (such as so long as the notes are spelled properly—that is, with no assumption of enharmonicity. History and use Division of the octave into 31 steps arose naturally out of Renaissance music theory; the lesser diesis – the ratio of an octave to three major thirds, 128:125 or 41.06 cents – was app ...
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Harmonic Minor Scale
The harmonic minor scale (or Aeolian ♮7 scale) is a Scale (music), musical scale derived from the natural minor scale, with the minor seventh degree raised by one semitone to a major seventh, creating an augmented second between the sixth and seventh degrees. : Thus, a harmonic minor scale is represented by the following notation: : 1, 2, 3, 4, 5, 6, 7, 8 A harmonic minor scale can be built by lowering the 3rd and 6th degrees of the parallel major scale by one semitone. Because of this construction, the 7th degree of the harmonic minor scale functions as a leading tone to the Tonic (music), tonic because it is a ''semitone'' lower than the tonic, rather than a ''whole tone'' lower than the tonic as it is in natural minor scales. The Interval (music), intervals between the notes of a harmonic minor scale follow the sequence below: : whole, half, whole, whole, half, augmented second, half While it evolved primarily as a basis for chords, the harmonic minor with its augment ...
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Equal Temperament
An equal temperament is a musical temperament or Musical tuning#Tuning systems, tuning system that approximates Just intonation, just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequency, frequencies of any adjacent pair of notes is the same. This system yields Pitch (music), pitch steps perceived as equal in size, due to the logarithmic changes in pitch frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been 12 equal temperament (also known as ''12 tone equal temperament'', ' or ', informally abbreviated as ''12 equal''), which divides the octave into 12 parts, all of which are equal on a logarithmic scale, with a ratio equal to the twelfth root of two, 12th root of 2, (\sqrt[12] ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western world, Western countries the term ''equal temperamen ...
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Major Third
In music theory, a third is a Interval (music), musical interval encompassing three staff positions (see Interval (music)#Number, Interval number for more details), and the major third () is a third spanning four Semitone, half steps or two Whole step, whole steps. Along with the minor third, the major third is one of two commonly occurring thirds. It is described as ''major'' because it is the larger interval of the two: The major third spans four semitones, whereas the minor third only spans three. For example, the interval from C to E is a major third, as the note E lies four semitones above C, and there are three staff positions from C to E. Diminished third, Diminished and augmented thirds are shown on the musical staff the same number of lines and spaces apart, but contain a different number of semitones in pitch (two and five). Harmonic and non-harmonic thirds The major third may be derived from the harmonic series (music), harmonic series as the interval be ...
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Consonance And Dissonance
In music, consonance and dissonance are categorizations of simultaneous or successive sounds. Within the Western tradition, some listeners associate consonance with sweetness, pleasantness, and acceptability, and dissonance with harshness, unpleasantness, or unacceptability, although there is broad acknowledgement that this depends also on familiarity and musical expertise. The terms form a structural dichotomy in which they define each other by mutual exclusion: a consonance is what is not dissonant, and a dissonance is what is not consonant. However, a finer consideration shows that the distinction forms a gradation, from the most consonant to the most dissonant. In casual discourse, as German composer and music theorist Paul Hindemith stressed, : "The two concepts have never been completely explained, and for a thousand years the definitions have varied". The term ''sonance'' has been proposed to encompass or refer indistinctly to the terms ''consonance'' and ''dissonance''. ...
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Diminished Fourth On C
Diminished may refer to: *Diminution in music * "Diminished" (R.E.M. song), from the 1998 album ''Up'' *''Diminished'', a 2024 album by twlv Jo Hyun-soo (; born September 29, 1993), better known by his stage name twlv (, pronounced "twelve"), is a South Korean singer-songwriter and record producer. He began his music career by uploading songs onto music sharing website SoundCloud an ...
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Chromatic Semitone
In modern Western tonal music theory an augmented unison or augmented prime is the interval between two notes on the same staff position, or denoted by the same note letter, whose alterations cause them, in ordinary equal temperament, to be one semitone apart. In other words, it is a unison where one note has been altered by a half-step, such as B and B or C and C. The interval is often described as a chromatic semitone. The term, in its French form ''unisson superflu'', appears to have been coined by Jean-Philippe Rameau in 1722, who also called this interval a minor semitone (''semiton mineur'').Gene Henry Anderson, "Musical Terminology in J.-P. Rameau's ''Traité de l'harmonie'': A Study and Glossary Based on an Index". PhD diss. (Iowa City: University of Iowa, 1981): 196. Historically, this interval, like the tritone, is described as being "mi contra fa", and therefore is the "diabolus in musica" (the Devil in music). In 12-tone equal temperament, it is the enharmonic equiv ...
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Perfect Fourth
A fourth is a interval (music), musical interval encompassing four staff positions in the music notation of Western culture, and a perfect fourth () is the fourth spanning five semitones (half steps, or half tones). For example, the ascending interval from C to the next F is a perfect fourth, because the note F is the fifth semitone above C, and there are four staff positions between C and F. Diminished fourth, Diminished and Tritone, augmented fourths span the same number of staff positions, but consist of a different number of semitones (four and six, respectively). The perfect fourth may be derived from the Harmonic series (music), harmonic series as the interval between the third and fourth harmonics. The term ''perfect'' identifies this interval as belonging to the group of perfect intervals, so called because they are neither major nor minor. A perfect fourth in just intonation corresponds to a pitch ratio of 4:3, or about 498 cent (music), cents (), while in equal temperam ...
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