How many Octatonic scales are there?
three octatonic scales
Because there are three ways to select two from three, there are three octatonic scales in the twelve-tone system. Each octatonic scale has exactly two modes: the first begins its ascent with a whole step, while the second begins its ascent with a half step (semitone).
How many diminished scales are there?
3
It is easy to prove that there are only 3 different diminished scales. Every diminished scale contains 8 consonant chords and includes, for each of them, its corresponding relative chord (Major or minor) and its parallel chord (that is, the one obtained by changing the mode).
What intervals are used in an octatonic scale?
The octatonic or diminished scale is an eight note scale in which the intervals alternate between whole and half steps. This scale is sometimes used in jazz. Similarly to the whole tone scale, octatonic scales don’t imply a particular central pitch.
How do you label an octatonic scale?
A system of naming pitch classes that treats C as 0, C♯ as 1, D as 2, etc. The octatonic collection is built with an alternation of whole steps and half steps, leading to a total of 8 distinct pitches. One example is C–C♯–D♯–E–F♯–G–A–B♭. Jazz musicians refer to this as the diminished scale.
How do you write an octatonic scale?
Octatonic Scales
- C. Notes: C, Db, Eb, E, Gb, G, A, Bb, C.
- D. Notes: D, Eb, F, F#, Ab, A, B, C, D.
- E. Notes: E, F, G, G#, Bb, B, C#, D, E.
- F# / Gb. Notes: F#, G, A, A#, C, C#, D#, E, F#
- G# / Ab. Notes: G#, A, B, C, D, D#, F, F#, G#
- A# / Bb. Notes: A#, B, Db, D, E, F, G, G#, A#
- C. Notes: C, D, Eb, F, Gb, Ab, A, B, C.
- D.
What are the 3 diminished chords?
Notice now that, as there are 12 notes on the tempered scale and a diminished chord corresponds to another 4 chords identical to it, we can conclude that there are only 3 different diminished chords. They are: C°, C#° and D°.
Are there only 3 diminished chords?
The diminished chord is built out of minor 3rds (3 semitones). Because of this the diminished chord repeats at intervals of minor thirds. This means there are only 3 unique diminished chords: Cdim7 = E♭dim7 = G♭dim7 = Adim7.
Who created the octatonic scale?
Rimski-Korsakov
An octatonic scale consists of alternating whole and half steps. It is an eight-tone scale; that is, eight tones are required to fill in the octave. According to McHose, the octatonic scale was first used by Rimski-Korsakov. His student, Igor Stravinsky used it extensively, especially in the Rite of Spring.
What notes are in the octatonic scale?
Octatonic Scales
- C. Notes: C, Db, Eb, E, Gb, G, A, Bb, C.
- D. Notes: D, Eb, F, F#, Ab, A, B, C, D.
- E. Notes: E, F, G, G#, Bb, B, C#, D, E.
- F# / Gb. Notes: F#, G, A, A#, C, C#, D#, E, F#
- G# / Ab. Notes: G#, A, B, C, D, D#, F, F#, G#
- A# / Bb. Notes: A#, B, Db, D, E, F, G, G#, A#
- C. Notes: C, D, Eb, F, Gb, Ab, A, B, C.
- D.
What is the octatonic scale?
The above scale is known as the Octatonic [0,2], or Oct 0,2 for short. The octatonic is a mode of (very) limited transposition, and there are three possible scales: Oct 0,2; Oct 0,1; and Oct 1,2.
What is the octatonic with C and D in it?
The numbers of the names indicate all that is needed to identify a particular octatonic scale: two consecutive notes within the scale. 0 is C♮, 1 is C#, and 2 is D♮. Thus, Oct 0, 2 is the octatonic with the notes C and D in it.
How is the octatonic symmetrical?
To begin, the octatonic is symmetrical. In this context, the word ‘symmetry’ means that the octatonic divides the octave into equal parts. Imagine an octatonic half-whole scale, which goes from C to C, like the one shown.
How are the three octatonic collections related?
The three octatonic collections are transpositionally and inversionally symmetric —that is, they are related by a variety of transposition and inversion operations: They are each closed under transpositions by 3, 6, or 9 semitones.