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55 relations: Augmented fifth, Augmented second, Augmented unison, Cent (music), Chromatic scale, Consonance and dissonance, Continued fraction, Diatonic scale, Diesis, Diminished fourth, Diminished second, Diminished sixth, Diminished third, Emphasis (typography), Enharmonic, Equal temperament, Francisco de Salinas, Gioseffo Zarlino, Harmonic seventh, Hertz, Interval (music), Interval ratio, Irrational number, Johann Kirnberger, Just intonation, Major chord, Major second, Major seventh, Major sixth, Major third, Meantone temperament, Minor chord, Minor seventh, Minor sixth, Minor third, Octave, Pentatonic scale, Perfect fifth, Perfect fourth, Pietro Aron, Pythagorean tuning, Red, Schisma, Semitone, Septimal diesis, Septimal minor third, Septimal whole tone, Staff (music), Superparticular ratio, Syntonic comma, ..., Transcendental number, Tritone, Unison, Wolf interval, 31 equal temperament. Expand index (5 more) »
Augmented fifth
In classical music from Western culture, an augmented fifth is an interval produced by widening a perfect fifth by a chromatic semitone.
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Augmented second
In classical music from Western culture, an augmented second is an interval that, in equal temperament, is sonically equivalent to a minor third, spanning three semitones, and is created by widening a major second by a chromatic semitone.
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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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Chromatic scale
The chromatic scale is a musical scale with twelve pitches, each a semitone above or below its adjacent pitches.
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Consonance and dissonance
In music, consonance and dissonance are categorizations of simultaneous or successive sounds.
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Continued fraction
In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.
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Diatonic scale
In western music theory, a diatonic scale is a heptatonic 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, depending on their position in the scale.
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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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Diminished fourth
In classical music from Western culture, a diminished fourth is an interval produced by narrowing a perfect fourth by a chromatic semitone.
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Diminished second
In modern Western tonal music theory, a diminished second is the interval produced by narrowing a minor second by one chromatic semitone.
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Diminished sixth
In classical music from Western culture, a diminished sixth is an interval produced by narrowing a minor sixth by a chromatic semitone.
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Diminished third
In classical music from Western culture, a diminished third is the musical interval produced by narrowing a minor third by a chromatic semitone.
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Emphasis (typography)
In typography, emphasis is the strengthening of words in a text with a font in a different style from the rest of the text, to highlight them.
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Enharmonic
In modern musical notation and tuning, an enharmonic equivalent is a note, interval, or key signature that is equivalent to some other note, interval, or key signature but "spelled", or named differently.
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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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Francisco de Salinas
Francisco de Salinas (1513, Burgos – 1590, Salamanca) was a Spanish music theorist and organist, noted as among the first to describe meantone temperament in mathematically precise terms, and one of the first (along with Guillaume Costeley) to describe, in effect, 19 equal temperament.
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Gioseffo Zarlino
Gioseffo Zarlino (31 January or 22 March 1517 – 4 February 1590) was an Italian music theorist and composer of the Renaissance.
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Harmonic seventh
The harmonic seventh interval, also known as the septimal minor seventh, or subminor seventh, is one with an exact 7:4 ratioAndrew Horner, Lydia Ayres (2002).
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Hertz
The hertz (symbol: Hz) is the derived unit of frequency in the International System of Units (SI) and is defined as one cycle per second.
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Interval (music)
In music theory, an interval is the difference between two pitches.
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Interval ratio
In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval.
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Irrational number
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.
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Johann Kirnberger
Johann Philipp Kirnberger (also Kernberg; 24 April 1721, Saalfeld – 27 July 1783, Berlin) was a musician, composer (primarily of fugues), and music theorist.
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Just intonation
In music, just intonation (sometimes abbreviated as JI) or pure intonation is any musical tuning in which the frequencies of notes are related by ratios of small whole numbers.
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Major chord
In music theory, a major chord is a chord that has a root note, a major third above this root, and a perfect fifth above this root note.
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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 seventh
In classical music from Western culture, a seventh is a musical interval encompassing seven staff positions (see Interval number for more details), and the major seventh is one of two commonly occurring sevenths.
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Major sixth
In music from Western culture, a sixth is a musical interval encompassing six note letter names or staff positions (see Interval number for more details), and the major sixth is one of two commonly occurring sixths.
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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 chord
In music theory, a minor chord is a chord having a root, a minor third, and a perfect fifth.
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Minor seventh
In music theory, a minor seventh is one of two musical intervals that span seven staff positions.
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Minor sixth
In classical music from Western culture, a sixth is a musical interval encompassing six staff positions (see Interval number for more details), and the minor sixth is one of two commonly occurring sixths.
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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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Octave
In music, an octave (octavus: eighth) or perfect octave is the interval between one musical pitch and another with half or double its frequency.
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Pentatonic scale
A pentatonic scale is a musical scale with five notes per octave, in contrast to the more familiar heptatonic scale that has seven notes per octave (such as the major scale and minor scale).
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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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Pietro Aron
Pietro Aron, also known as Pietro (or Piero) Aaron (ca. 1480 – after 1545), was an Italian music theorist and composer.
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Pythagorean tuning
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2.
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Red
Red is the color at the end of the visible spectrum of light, next to orange and opposite violet.
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Schisma
In music, the schisma (also spelled skhisma) is the interval between a Pythagorean comma (531441:524288) and a syntonic comma (81:80) and equals 32805:32768, which is 1.9537 cents.
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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 diesis
In music, septimal diesis (or slendro diesis) is an interval with the ratio of 49:48, which is the difference between the septimal whole tone and the septimal minor third.
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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 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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Staff (music)
In Western musical notation, the staff (US) or stave (UK) (plural for either: '''staves''') is a set of five horizontal lines and four spaces that each represent a different musical pitch or, in the case of a percussion staff, different percussion instruments.
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Superparticular ratio
In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is the ratio of two consecutive integer numbers.
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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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Transcendental number
In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a nonzero polynomial equation with integer (or, equivalently, rational) coefficients.
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Tritone
In music theory, the tritone is defined as a musical interval composed of three adjacent whole tones.
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Unison
In music, unison is two or more musical parts sounding the same pitch or at an octave interval, usually at the same time.
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Wolf interval
In music theory, the wolf fifth (sometimes also called Procrustean fifth, or imperfect fifth) Paul, Oscar (1885).
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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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1/4 comma meantone, 1/4-comma meantone, Quarter comma meantone, Quarter-comma meantone temperament.
References
[1] https://en.wikipedia.org/wiki/Quarter-comma_meantone
