Origin of large and small seconds and thirds (including 7:6) in harmonic series.[1]
In music, a subminor interval is an interval that is noticeably wider than a diminished interval but noticeably narrower than a minor interval. It is found in between a minor and diminished interval, thus making it below, or subminor to, the minor interval. A supermajor interval is a musical interval that is noticeably wider than a major interval but noticeably narrower than an augmented interval. It is found in between a major and augmented interval, thus making it above, or supermajor to, the major interval. The inversion of a supermajor interval is a subminor interval, and there are four major and four minor intervals, allowing for eight supermajor and subminor intervals, each with variants.
diminished
subminor
minor
neutral
major
supermajor
augmented
seconds
D
≊ D
D♭
D
D
≊ D
D♯
thirds
E
≊ E
E♭
E
E
≊ E
E♯
sixths
A
≊ A
A♭
A
A
≊ A
A♯
sevenths
B
≊ B
B♭
B
B
≊ B
B♯
Traditionally, "supermajor and superminor, [are] the names given to certain thirds [9:7 and 17:14] found in the justly intoned scale with a natural or subminor seventh."[2]
^Miller, Leta E., ed. (1988). Lou Harrison: Selected keyboard and chamber music, 1937-1994. p. XLIII. ISBN 978-0-89579-414-7..
^Brabner, John H. F. (1884). The National Encyclopaedia, vol. 13, p. 182. London. [ISBN unspecified]
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is found in between a minor and diminished interval, thus making it below, or subminor to, the minor interval. A supermajor interval is a musical interval...
approximations to the subminorandsupermajor thirds and corresponding triads. These thirds therefore hardly deserve the appellation of wolf, and in fact historically...
minor sixth note from E and E will only appear in C, D, E, F, G, A and B major scales). In addition, the subminor sixth, is a subminor interval which includes...
separated out and reconstituted into various sequences of two or more intervals that arrive at the comma, such as 81/1 × 1/80 or (fully expanded and sorted by...
note D lies two semitones above C, and the two notes are notated on adjacent staff positions. Diminished, minor and augmented seconds are notated on adjacent...
and is created by widening a major second by a chromatic semitone. For instance, the interval from C to D is a major second, two semitones wide, and the...
prime, or perfect prime) may refer to the (pseudo-)interval formed by a tone and its duplication (in German, Unisono, Einklang, or Prime), for example C–C...
(617.49 cents). They are also known as the sub-fifth and super-fourth, or subminor fifth andsupermajor fourth, respectively. The 7:5 interval (diminished...
encompassing four staff positions in the music notation of Western culture, and a perfect fourth (Play) is the fourth spanning five semitones (half steps...
(also spelled skhisma) is the interval between the syntonic comma (81:80) and the Pythagorean comma ( 531 441 : 524 288 ), which is slightly larger. It...
is possible to play subminor chords (where the first third is subminor) andsupermajor chords (where the first third is supermajor). It is also possible...
octave by 50 cents each, and have 24 different pitches. Quarter tones have their roots in the music of the Middle East and more specifically in Persian...
as the note G lies ten semitones above A, and there are seven staff positions from A to G. Diminished and augmented sevenths span the same number of...
the diapason) is a series of eight notes occupying the interval between (and including) two notes, one having twice the frequency of vibration of the...
or 611.73 cents (Play), formed from the perfect fourth and the apotome. Subminorandsupermajor Neutral interval Skinner, Miles Leigh (2007). Toward a...
the bass clarinet, the baritone/euphonium when written in treble clef, and the trombone when written in treble clef (British brass band music). When...
2nd degrees (in C major, between F and D). Play Another major sixth is the 12:7 septimal major sixth or supermajor sixth, the inversion of the septimal...
music, the septimal whole tone, septimal major second, supermajor second, or septimal supermajor second play is the musical interval exactly or approximately...
to C. Diminished and augmented thirds span the same number of staff positions, but consist of a different number of semitones (two and five). The minor...
tritone as it can be decomposed into the three adjacent whole tones F–G, G–A, and A–B. Narrowly defined, each of these whole tones must be a step in the scale...
cents wider than the 15:8 major seventh. In 24-tone equal temperament a supermajor seventh, semiaugmented seventh or, semidiminished octave, 23 quarter-tones...
the note eleven scale degrees from the root of a chord and also the interval between the root and the eleventh. The interval can also be described as a...
encompassing three staff positions (see Interval number for more details), and the major third (Play) is a third spanning four half steps or two whole steps...
perfect fifth below the lower of the two notes. Major fourth and minor fifth Subminorandsupermajor List of pitch intervals Microtonal music Haluska, Jan (2003)...
other interval except the unison and the octave. It occurs above the root of all major and minor chords (triads) and their extensions. Until the late...
is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically. It is defined...
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