Hindustani heptatonic theory additionally stipulates that the second, third, sixth and
seventh degrees of heptatonic scale forms (septak) are also allowed only two
inflections each, in this case, one natural position, and one lowered (komal) position.
Arithmetically this produces 25, or thirty-two, possibilities, but Hindustani theory, in
contradistinction to Carnatic theory, excludes scale forms not commonly used.
Showing posts with label diatonic scale. Show all posts
Showing posts with label diatonic scale. Show all posts
Friday, November 6, 2009
Heptonia Tertia
The last group of seven note tone/semitone scales are known as Heptonia Tertia and
consist of scales with two adjacent semitones which amounts to a whole-tone scale
but with an additional note somewhere in its sequence e.g. b c d e f# g# a#.
consist of scales with two adjacent semitones which amounts to a whole-tone scale
but with an additional note somewhere in its sequence e.g. b c d e f# g# a#.
Heptonia Prima and Secunda
Heptonia Prima and Secunda
The rather unwieldy name of Heptonia Prima and Heptonia Secunda are given to the
various seven-note scales which can be formed using tones and semitones but
without two semi-tones appearing in succession. Some are more theoretical than
others. They are
Heptonia Prima
Beginning on keynote A and working up the notes of the 'natural minor' scale
(A,B,C,D,E,F,G,A), the seven modes are:
Aeolian mode (natural minor)
Locrian mode
Ionian Mode (major)
Dorian Mode
Phrygian Mode
Lydian Mode
Mixolydian Mode
It may be noted that the Dorian is exactly the same descending as ascending. The
less common series is
Heptonia Secunda
The difference between this and the diatonic modes is that they have two and three
tones between each semitone, while these latter modes have one and four. These
are sometimes called modes of the melodic ascending minor since that is the most
commonly used scale of this type, but other modes can be produced by starting on
the different scale notes in turn. Thus starting on keynote A as above and following
the notes of the ascending melodic minor (A,B,C,D,E,F#,G#) yields these seven
modes:
'Melodic ascending minor'
'Phrygian raised sixth' combines the Phrygian flat second and Dorian raised sixth
'Lydian raised fifth' combines the Lydian fourth with a raised fifth
'Acoustic' or 'Lydian-Myxolydian' Scale So-called because close to the scale built
on natural overtones and combines Lydian raised fourth with Myxolydian flat
seventh
'Major minor' scale Like natural minor (aeolian) but with a major third
'Half diminished' or 'Locrian sharp 2' scale This is like the Locrian with a raised
second
'Altered scale' Like Locrian with flat fourth
These modes are more awkward to use than those of the diatonic scales due to the
four tones in a row yielding augmented intervals on one hand while the one tone
between two semitones gives rise to diminished intervals on the other. For example,
the last two modes listed above both have 'Locrian' diminished triads built on their
tonics given them unstable tonality while the fourth mode not only has an augmented
fourth a la the Lydian mode but also an augmented fifth making the dominant and
subdominant unusable.
The rather unwieldy name of Heptonia Prima and Heptonia Secunda are given to the
various seven-note scales which can be formed using tones and semitones but
without two semi-tones appearing in succession. Some are more theoretical than
others. They are
Heptonia Prima
Beginning on keynote A and working up the notes of the 'natural minor' scale
(A,B,C,D,E,F,G,A), the seven modes are:
Aeolian mode (natural minor)
Locrian mode
Ionian Mode (major)
Dorian Mode
Phrygian Mode
Lydian Mode
Mixolydian Mode
It may be noted that the Dorian is exactly the same descending as ascending. The
less common series is
Heptonia Secunda
The difference between this and the diatonic modes is that they have two and three
tones between each semitone, while these latter modes have one and four. These
are sometimes called modes of the melodic ascending minor since that is the most
commonly used scale of this type, but other modes can be produced by starting on
the different scale notes in turn. Thus starting on keynote A as above and following
the notes of the ascending melodic minor (A,B,C,D,E,F#,G#) yields these seven
modes:
'Melodic ascending minor'
'Phrygian raised sixth' combines the Phrygian flat second and Dorian raised sixth
'Lydian raised fifth' combines the Lydian fourth with a raised fifth
'Acoustic' or 'Lydian-Myxolydian' Scale So-called because close to the scale built
on natural overtones and combines Lydian raised fourth with Myxolydian flat
seventh
'Major minor' scale Like natural minor (aeolian) but with a major third
'Half diminished' or 'Locrian sharp 2' scale This is like the Locrian with a raised
second
'Altered scale' Like Locrian with flat fourth
These modes are more awkward to use than those of the diatonic scales due to the
four tones in a row yielding augmented intervals on one hand while the one tone
between two semitones gives rise to diminished intervals on the other. For example,
the last two modes listed above both have 'Locrian' diminished triads built on their
tonics given them unstable tonality while the fourth mode not only has an augmented
fourth a la the Lydian mode but also an augmented fifth making the dominant and
subdominant unusable.
Harmonic minor scale
The harmonic minor scale is so called because in tonal music of the “common
practice period” (from approximately 1600 to approximately 1900) chords or
harmonies are more commonly derived from it than from either the natural minor
scale or the melodic minor scale. The augmented second between its sixth degree
and its raised (“leading tone”) seventh degree, usually traditionally considered
undesirable, is easily avoided by distributing these pitches among voices. In the
chord progression, D F A(flat), B F G, C E(flat) G, (ii0, V7, i in C minor) for example,
the Ab in the upper voice never ascends to B, and the B in the lower voice never
descends to Ab.
practice period” (from approximately 1600 to approximately 1900) chords or
harmonies are more commonly derived from it than from either the natural minor
scale or the melodic minor scale. The augmented second between its sixth degree
and its raised (“leading tone”) seventh degree, usually traditionally considered
undesirable, is easily avoided by distributing these pitches among voices. In the
chord progression, D F A(flat), B F G, C E(flat) G, (ii0, V7, i in C minor) for example,
the Ab in the upper voice never ascends to B, and the B in the lower voice never
descends to Ab.
Melodic minor scale
In traditional classical theory the melodic minor scale has two forms, as noted
above, an ascending form and a descending form. Although each of these forms of
itself comprises seven pitches, together they comprise nine, which might seem to
call into question the scale’s status as a heptatonic scale. In certain twentieth-century
music, however, it became common systematically to use the ascending form for
both ascending and descending passages. Such a use has been notably ascribed to
the works of Bela Bartok and to bop and post-bop jazz practice. The traditional
descending form of the melodic minor scale is equivalent to the natural minor scale in
both pitch collection (which is diatonic) and tonal center.
above, an ascending form and a descending form. Although each of these forms of
itself comprises seven pitches, together they comprise nine, which might seem to
call into question the scale’s status as a heptatonic scale. In certain twentieth-century
music, however, it became common systematically to use the ascending form for
both ascending and descending passages. Such a use has been notably ascribed to
the works of Bela Bartok and to bop and post-bop jazz practice. The traditional
descending form of the melodic minor scale is equivalent to the natural minor scale in
both pitch collection (which is diatonic) and tonal center.
Diatonic scale
The term diatonic scale refers to a pitch collection and does not imply any particular
tonal center or note of especial emphasis. It is in this respect different from the term
major scale, which does imply a tonal center.
tonal center or note of especial emphasis. It is in this respect different from the term
major scale, which does imply a tonal center.
Heptatonic scale
A heptatonic scale is a musical scale with seven pitches per octave. Among the
most famous of these are the diatonic scale, C D E F G A B C; the melodic minor
scale, C D E(flat) F G A B C ascending, C B(flat) A(flat) G F E(flat) D C descending;
the harmonic minor scale, C D E(flat) F G A(flat) B C; and a scale variously known
as the Byzantine, Hungarian, gypsy, or Egyptian scale, C D E(flat) F(sharp) G A(flat)
B C. South Indian (Carnatic music) classical theory postulates seventy-two
melakarta, seven-tone scale types, whereas Hindustani classical music postulates
twelve or ten (depending on the theorist) seven-tone scale types collectively called
thaat.
most famous of these are the diatonic scale, C D E F G A B C; the melodic minor
scale, C D E(flat) F G A B C ascending, C B(flat) A(flat) G F E(flat) D C descending;
the harmonic minor scale, C D E(flat) F G A(flat) B C; and a scale variously known
as the Byzantine, Hungarian, gypsy, or Egyptian scale, C D E(flat) F(sharp) G A(flat)
B C. South Indian (Carnatic music) classical theory postulates seventy-two
melakarta, seven-tone scale types, whereas Hindustani classical music postulates
twelve or ten (depending on the theorist) seven-tone scale types collectively called
thaat.
SCALES
In music, a scale is a group of musical notes collected in ascending and descending order, that provides material for or is used to conveniently represent part or all of a musical work including melody and/or harmony. Scales are ordered in pitch or pitch class, with their ordering providing a measure of musical distance.
Scales are typically listed from low to high. Most scales are octave-repeating, meaning their pattern of notes is the same in every octave. An octave-repeating scale can be represented as a circular arrangement of pitch classes, ordered by increasing (or decreasing) pitch class. For instance, the increasing C major scale is, C-D-E-F-G-A-B-[C], with the bracket indicating that the last note is an octave higher than the first note. Or C-B-A-G-F-E-D-[C], with the bracket indicating an octave lower than the first note in the scale.
Scales are typically listed from low to high. Most scales are octave-repeating, meaning their pattern of notes is the same in every octave. An octave-repeating scale can be represented as a circular arrangement of pitch classes, ordered by increasing (or decreasing) pitch class. For instance, the increasing C major scale is, C-D-E-F-G-A-B-[C], with the bracket indicating that the last note is an octave higher than the first note. Or C-B-A-G-F-E-D-[C], with the bracket indicating an octave lower than the first note in the scale.
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