## Intervals

An augmented sixth is one of three musical intervals that span six diatonic scale degrees. The prefix 'augmented' identifies it as being the largest of the three intervals; the others being the major sixth and minor sixth, which are one and two semitones smaller, respectively. ...more on Wikipedia about "Augmented sixth"

The cent is a logarithmic unit of measure used for musical intervals. Typically cents are used to measure extremely small intervals, or to compare the sizes of comparable intervals in different tuning systems, and in fact the interval of one cent is much too small to be heard between successive notes. ...more on Wikipedia about "Cent (music)"

In music theory, a comma is a small or very small interval between two enharmonic notes tuned in different ways. For example, an A flat tuned as a major third below C in just intonation, and a G sharp tuned as a major third above E, will not be exactly the same note. The difference between those notes, the diesis, is almost a quarter tone, easily audible. ...more on Wikipedia about "Comma (music)"

In traditional music theory a complement is the interval added to another, that is placed on top of another, so that their complete span is an octave. The complement of any interval is its inverse, except for the octave and the unison which are each other's complements. ...more on Wikipedia about "Complement (music)"

The word diapason ( pronounced ) is another name for the musical interval of the octave, especially in the context of Pythagorean intervals. In other contexts, it can mean the range of a musical instrument or voice. It also has more specific uses: ...more on Wikipedia about "Diapason"

The diaschisma (or diacisma) is a small musical interval defined as the difference between four perfect fifths plus two major thirds (in just intonation) and three octaves. It can be represented by the ratio 2048:2025 and is about 19.5 cents. The use of the name diaschisma for this interval is due to Helmholtz; earlier Rameau had called that interval a "diminished comma". ...more on Wikipedia about "Diaschisma"

A diesis is a musical interval, usually meaning the difference between three justly tuned major thirds (tuned in the frequency ratio 5:4) and an octave (in the ratio 2:1), equal to 128:125 or about 41.06 cents. ...more on Wikipedia about "Diesis"

In music, a dyad is any two notes or pitches, more commonly known as an interval. Three pitches is a trichord, etc. ...more on Wikipedia about "Dyad (music)"

In music or music theory an eleventh is the note eleven scale degrees from the root of chord and also the interval between the root and the eleventh. ...more on Wikipedia about "Eleventh"

In diatonic set theory a generic interval is the number of scale steps between notes of a collection or scale. The largest generic interval is one less than the number of scale members. (Johnson 2003, p.26) ...more on Wikipedia about "Generic interval"

The Holdrian comma, also called Holder's comma or the Arabian comma, is a musical interval of 22.6415 cents, equal to one step of 53-tone equal temperament or 1/53 of an octave. It was first described by Ching-Fang in 45 BCE. Eight to nine Holdrian commas form a medium second (approximately a three- quarter tone). (Touma 1996, p.23) The name "Arabian comma" seems to be something of a misnomer; the division of the octave into 53 parts in fact is more characteristic of Turkish music theory, and the name of the comma is "Holder kommasi" in Turkish. It was employed in Turkish music theory by Kemal Ilerici. Turkish composer Erol Sayan has also made much of it. ...more on Wikipedia about "Holdrian comma"

In music, an interval cycle is the collection of pitches created by starting with a certain note and going up by a certain interval until the original note is reached. In other words, interval cycles "unfold a single recurrent interval in a series that closes with a return to the initial pitch class". ...more on Wikipedia about "Interval cycle"

The word limma or leimma can refer to several different musical intervals, whose only common property is their small size: ...more on Wikipedia about "Limma"

(List of musical intervals) *Equal-tempered refers to 12-tone equal temperament. ...more on Wikipedia about "List of musical intervals" Good to know www.shortopedia.com.

A major second is one of three commonly occurring musical intervals that span two diatonic scale degrees; the others being the minor second, which is one semitone smaller, and the augmented second, which is one semitone larger. The major second is abbreviated as M2 and its inversion is the minor seventh. It occurs naturally and most memorably between the 1st and 2nd degrees of a major scale, as the tonic rising melodically to the supertonic (the familiar Do-Re sung in solfege). ...more on Wikipedia about "Major second"

A major seventh is the larger of two commonly occurring musical intervals that span seven diatonic scale degrees. The prefix 'major' identifies it as being the larger of the two (by one semitone); its smaller counterpart being a minor seventh. The major seventh is abbreviated as M7 and its inversion is the minor second. It occurs most commonly built on the root of major triads, resulting in the chord type also known as major seventh. ...more on Wikipedia about "Major seventh"

A major sixth is the larger of two commonly occurring musical intervals that span six diatonic scale degrees. The prefix 'major' identifies it as being the larger of the two (by one semitone); its smaller counterpart being, a minor sixth. The major 6th is abbreviated as M6, and its inversion is the minor third. Its most common occurrence is between the third and (upper) root of minor chords. ...more on Wikipedia about "Major sixth"

A major third is the larger of two commonly occurring musical intervals that span three diatonic scale degrees. The prefix 'major' identifies it as being the larger of the two (by one semitone); its smaller counterpart being, a minor third. The major third is abbreviated as M3 and its inversion is the minor sixth. ...more on Wikipedia about "Major third"

A minor second is the smallest of three commonly occurring musical intervals that span two diatonic scale degrees; the others being the major second and the augmented second, which are larger by one and two semitones respectively. The minor second is abbreviated as m2 and its inversion is the major seventh. It occurs naturally and most memorably between the 7th and 8th degrees of a major scale, as the leading note rising melodically to the upper tonic (the familiar ti-do sung in solfege}. ...more on Wikipedia about "Minor second"

A minor seventh is the smaller of two commonly occurring musical intervals that span seven diatonic scale degrees. The prefix 'minor' identifies it as being the smaller of the two (by one semitone); its larger counterpart being a major seventh. The minor seventh is abbreviated as m7 and its inversion is the Major second. Its most common occurrence is built on the root of the prevailing key's dominant triad, producing the all-important dominant seventh chord. ...more on Wikipedia about "Minor seventh"

A minor sixth is the smaller of two commonly occurring musical intervals that span six diatonic scale degrees. The prefix 'minor' identifies it as being the smaller of the two (by one semitone); its larger counterpart being a major sixth. The minor 6th is abbreviated as m6, its inversion is the Major third and its enharmonic equivalent is the augmented fifth. Its most common occurrence is between the third and (upper) root of major chords. ...more on Wikipedia about "Minor sixth"

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A minor third is the smaller of two commonly occurring musical intervals that span three diatonic scale degrees. The prefix 'minor' identifies it as being the smaller of the two (by one semitone); its larger counterpart being a major third. The minor third is abbreviated as m3 and its inversion is the major sixth. ...more on Wikipedia about "Minor third"

A neutral second or medium second is a musical interval half-way between a minor second and a major second. It is thus a quarter tone sharp from the minor and a quarter tone flat from the major and is found in the quarter tone scale and Arab music and tuning. It may correspond to a three-quarter-tone. ...more on Wikipedia about "Neutral second"

In music or music theory a ninth is the note nine scale degrees from the root of chord and also the interval between the root and the ninth. ...more on Wikipedia about "Ninth"

In music, an octave (sometimes abbreviated 8ve or 8va) is the interval between one musical note and another with half or double the frequency. For example, if one note has a frequency of 400 Hz, the note an octave above it is at 800 Hz, and the note an octave below is at 200 Hz. The ratio of frequencies of two notes an octave apart is therefore 2:1. Further octaves of a note occur at $2^n$ times the frequency of that note (where n is an integer), such as 2, 4, 8, 16, etc. and the reciprocal of that series. For example, 50 Hz and 400 Hz are one and two octaves away from 100 Hz because they are $1/2$ ($1/2^1$) and 4 ($2^2$) times the frequency, respectively, however 300 Hz is not a whole number octave above 100 Hz, despite being a harmonic of 100 Hz. ...more on Wikipedia about "Octave"