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28 relations: Augmented unison, Cent (music), Cyriakus Schneegass, Diatonic and chromatic, Diesis, Equal temperament, Harmonic series (music), James Murray Barbour, Major second, Major third, Meantone temperament, Minor third, Modulation (music), Musical temperament, Neutral interval, Neutral third, Perfect fifth, Perfect fourth, Semitone, Septimal major third, Septimal minor third, Septimal third tone, Septimal tritone, Septimal whole tone, Syntonic comma, 19 equal temperament, 31 equal temperament, 53 equal temperament.
Augmented unison
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.
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Cent (music)
The cent is a logarithmic unit of measure used for musical intervals.
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Cyriakus Schneegass
Cyriakus Schneegass (Schneegaß; Snegassius, 5 October 1546 – 23 October 1597) was a German Lutheran pastor, hymn writer, composer and music theorist.
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Diatonic and chromatic
Diatonic (διατονική) and chromatic (χρωματική) are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony.
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Diesis
In classical music from Western culture, a diesis ("difference"; Greek: δίεσις "leak" or "escape"Benson, Dave (2006). Music: A Mathematical Offering, p.171.. Based on the technique of playing the aulos, where pitch is raised a small amount by slightly raising the finger on the lowest closed hole, letting a small amount of air "escape".) is either an accidental (see sharp), or a very small musical interval, usually defined as the difference between an octave (in the ratio 2:1) and three justly tuned major thirds (tuned in the ratio 5:4), equal to 128:125 or about 41.06 cents.
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Equal temperament
An equal temperament is a musical temperament, or a system of tuning, in which the frequency interval between every pair of adjacent notes has the same ratio.
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Harmonic series (music)
A harmonic series is the sequence of sounds—pure tones, represented by sinusoidal waves—in which the frequency of each sound is an integer multiple of the fundamental, the lowest frequency.
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James Murray Barbour
James Murray Barbour (1897-1970) is an American acoustician, musicologist, and composer best known for his work Tuning and Temperament: A Historical Survey (1951, 2d ed. 1953).
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Major second
In Western music theory, a major second (sometimes also called whole tone) is a second spanning two semitones.
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Major third
In classical music from Western culture, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third is a third spanning four semitones.
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Meantone temperament
Meantone temperament is a musical temperament, that is a tuning system, obtained by slightly compromising the fifths in order to improve the thirds.
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Minor third
In the music theory of Western culture, a minor third is a musical interval that encompasses three half steps, or semitones.
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Modulation (music)
In music, modulation is most commonly the act or process of changing from one key (tonic, or tonal center) to another.
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Musical temperament
In musical tuning, a temperament is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements.
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Neutral interval
In music theory, a neutral interval is an interval that is neither a major nor minor, but instead in between.
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Neutral third
A neutral third is a musical interval wider than a minor third but narrower than a major third, named by Jan Pieter Land in 1880; the name has been taken over by Alois Hába.
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Perfect fifth
In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.
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Perfect fourth
In classical music from Western culture, a fourth spans exactly four letter names (staff positions), while a perfect fourth (harmonic series) always involves the same interval, regardless of key (sharps and flats) between letters. A perfect fourth is the relationship between the third and fourth harmonics, sounding neither major nor minor, but consonant with an unstable quality (additive synthesis). In the key of C, the notes C and F constitute a perfect fourth relationship, as they're separated by four semitones (C, C#, D, D#, E, F). Up until the late 19th century, the perfect fourth was often called by its Greek name, diatessaron. A perfect fourth in just intonation corresponds to a pitch ratio of 4:3, or about 498 cents, while in equal temperament a perfect fourth is equal to five semitones, or 500 cents. The perfect fourth is a perfect interval like the unison, octave, and perfect fifth, and it is a sensory consonance. In common practice harmony, however, it is considered a stylistic dissonance in certain contexts, namely in two-voice textures and whenever it appears above the bass. If the bass note also happens to be the chord's root, the interval's upper note almost always temporarily displaces the third of any chord, and, in the terminology used in popular music, is then called a suspended fourth. Conventionally, adjacent strings of the double bass and of the bass guitar are a perfect fourth apart when unstopped, as are all pairs but one of adjacent guitar strings under standard guitar tuning. Sets of tom-tom drums are also commonly tuned in perfect fourths. The 4:3 just perfect fourth arises in the C major scale between G and C.
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Semitone
A semitone, also called a half step or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically.
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Septimal major third
In music, the septimal major third, also called the supermajor third (by Hermann Helmholtz among othersHermann L. F Von Helmholtz (2007). On the Sensations of Tone, p.187..) and sometimes Bohlen–Pierce third is the musical interval exactly or approximately equal to a just 9:7 ratioAndrew Horner, Lydia Ayres (2002).
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Septimal minor third
In music, the septimal minor third, also called the subminor third (e.g., by Ellis), is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies.
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Septimal third tone
A septimal 1/3-tone (in music) is an interval with the ratio of 28:27, which is the difference between the perfect fourth and the supermajor third.
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Septimal tritone
A septimal tritone is a tritone (about one half of an octave) that involves the factor seven.
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Septimal whole tone
In music, the septimal whole tone, septimal major second, or supermajor second is the musical interval exactly or approximately equal to an 8/7 ratio of frequencies.
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Syntonic comma
In music theory, the syntonic comma, also known as the chromatic diesis, the comma of Didymus, the Ptolemaic comma, or the diatonic comma is a small comma type interval between two musical notes, equal to the frequency ratio 81:80 (.
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19 equal temperament
In music, 19 equal temperament, called 19 TET, 19 EDO ("Equal Division of the Octave"), or 19 ET, is the tempered scale derived by dividing the octave into 19 equal steps (equal frequency ratios).
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31 equal temperament
In music, 31 equal temperament, 31-ET, which can also be abbreviated 31-TET, 31-EDO (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equal-sized steps (equal frequency ratios).
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53 equal temperament
In music, 53 equal temperament, called 53 TET, 53 EDO, or 53 ET, is the tempered scale derived by dividing the octave into 53 equal steps (equal frequency ratios).
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References
[1] https://en.wikipedia.org/wiki/34_equal_temperament
