Showing posts with label Subdivided Scales. Show all posts
Showing posts with label Subdivided Scales. Show all posts

Monday, July 28, 2008

Scale of the Day: E Octave Subdivided: 2 equal [2 equal/2 equal] 1% wide

EOctaveSubdivided2Equal-2Equal2Equal-1PercentWide

The E Octave subdivided: 2 equal [2 equal/2 equal] 1% wide Scale. In practice, an equal tempered full diminished chord with intervals expanded to fit a stretched octave.

Sunday, July 27, 2008

Scale of the Day: E Triative subdivided: 2 equal [2 equal/2 equal]

ETriativeSubdivided2Equal2Equal2Equal

The E Triative subdivided: 2 equal [2 equal/ 2 equal] Scale. In practice, this is the same as dividing the triative into four equal parts.

Saturday, July 26, 2008

Scale of the Day: E Square-root-of-2 subdivided: 2 equal [2 equal/2 equal] inversion

ESquareRootOf2Subdivided2Equal-2Equal2EqualInversion

The E Square-root-of-2 subdivided: 2 equal [2 equal/2 equal] - inversion - Scale. Like most equal divisions of an interval, the inversion of this scale is identical to its non-inverted form.

Friday, July 25, 2008

Scale of the Day: E Octave Subdivided: 2 just [2 just/2 just]

EOctaveSubdivided2Just-2Just2Just

The E Octave Subdivided: 2 just [2 just/2 just] Scale. Take the octave, divide it into two just parts (that gives you the 3/2 just perfect fifth). Then divide the intervals on either side into two just parts. This gives you the 5/4 major third (to divide the 3/2 between the root and fifth) and the 7/4 minor seventh (the 7/6 of the 4/3 interval size found between the fifth and the octave). This scale happens to line up with the 4:5:6:7:8 of the overtone series - a supremely consonant seven chord.

Friday, April 11, 2008

Scale of the Day: E Square-root-of-2 subdivided: 2 equal [NULL/2 equal]

ESquareRootOf2Subdivided2EqualNULL2Equal

The E Square-root-of-2 subdivided: 2 equal [NULL/2 equal] Scale. The E diminished triad is again present in this scale, but this time that "tritone" is now the interval of harmonic equivalence. This means that the E natural and B flat are regarded as the same pitch-class in a true, square-root-of-2-space harmonic context.

Thursday, April 10, 2008

Scale of the Day: E Octave Subdivided: 2 equal [NULL, 2 equal] - inversion

EOctaveSubdivided2Equal-NULL2EqualInversion

The E Octave subdivided: 2 equal [NULL/2 equal] - Inversion - Scale as one would find it on any conventionally tuned, equal tempered instrument. This is essentially an equal tempered diminished triad on E.

Monday, February 11, 2008

Scale of the Day: F Sharp Square-root-of-2 subdivided: 2 equal [2 equal/2 equal]

FSharpSquareRootOf2Subdivided-2Equal-2Equal2Equal

The F Sharp Square-root-of-2 subdivided: 2 equal [2 equal/2equal] Scale. Take an equal tempered "tritone," divide it in half, and divide the respective halves in half. This gives four consecutive 150-cent steps (an interval exactly half-way between an equal tempered minor third, or one quarter-tone less than a whole-tone) for a sequence that cycles at the "tritone."

Sunday, February 10, 2008

Scale of the Day: E Octave Subdivided: 2 equal [2 equal/2 equal]

EOctaveSubdivided2Equal-2Equal2Equal-interval-analysis

The intervallic content of the E Octave Subdivided: 2 equal[2 equal/2 equal] Scale. The intervallic content being extremely limited given that this scale is little more than an equal tempered full-diminished chord.

Saturday, February 09, 2008

Scale of the Day: F Sharp Octave Subdivided: 2 equal [2 equal, 2 equal] - inversion

FSharpOctaveSubdivided2Equal2Equal2EqualInversion

The F Sharp Octave Subdivided: 2 Equal [2 equal, 2 equal] - inversion - Scale. As an equal tempered scale of even divisions, this scale is self-inverting.

Thursday, November 01, 2007

Scale of the Day: F Sharp Octave subdivided: 2 equal [NULL/2 equal]

FSharpOctaveSubdivided2EqualNULL2Equal

The F Sharp Octave subdivided: 2 equal [NULL/2 equal] Scale as one would find it on any conventionally tuned, equal tempered instrument. The scale name is the formula of its origin: divide an octave into two equal parts - resulting in a "tritone" between the octave. As this is a subtractive scale, the first tritone is not divided (hence the 'NULL' value) while the second is cut into two 300-cent minor thirds - resulting in a diminished triad leading up to the tonic. This is a particularly sparse example of a scale where all the tonal energy pulls upward toward the tonic because of the relative density of notes grouped in the later half of the octave.

Thursday, September 13, 2007

Scale of the Day: A Flat Octave subdivided: 2 equal [2 equal/2 equal]

AFlatOctaveSubdivided2e2e2e

The A Flat Octave subdivided: 2 equal [2 equal/2 equal] Scale as one would find it on any conventionally tuned, equal tempered instrument. This scale happens to trace out the harmony of the A flat diminished chord. Which is not surprising given that a sequence of equal tempered minor thirds divides the octave into four equal segments.