harmonic theory V


symmetric scales

symmetric scales arises by repeated intervall distances.


Using rotating half-tone and whole-tone steps leads to the half-ton-whole-tone-scale (htgt).
htgt : A - Bb - C - C# - D# - E - F# - G
It suits to A7 and A-7 and their options.


If this scale starts with a whole-tone the scale whole-ton-half-tone arises. (gtht).
gtht : A - B - C - D - Eb - F - F# - G#
Both scales contain 2 different small-third-acccords. On gtht they are A0 and B0.


The interval steps small-third and half-tone leads to the following scale
Scale : A - C - C# - E - F - G#
It contains 2 big-third-scales: A+ and C+.

bebop scale

The bebop scale extends the 7 tones of the church modi with one 'transit'-tone. Therefore the scale matches 8 units with matches good to 4/4 bar. If it is played linear in eighth starting on a accord tone on first eighth the scale allways falls on heavy times (1,2,3,4) on a accord-tone and on light times (1+,2+,3+,4+) on an option tone.
The accord C7 arises:

Tone                C     Db    D     Eb    E     F     Gb    G     Ab    A     Bb    B     C

Accord              C     -     -     -     E     -     -     G     -     -     Bb    -     C

Mixolydic           C     -     D     -     E     F     -     G     -     A     Bb    -     C

Bebop scale         C     -     D     -     E     F     -     G     -     A     Bb    B     C

On a majaor accord Cmaj7 the 6th will be seen as accord-ton:

Tone                C     C#    D     D#    E     F     F#    G     G#    A     A#    B     C

Accord              C     -     -     -     E     -     -     G     -     A     -     -     C

Ionic               C     -     D     -     E     F     -     G     -     A     -     B     C

Bebop scale         C     -     D     -     E     F     -     G     G#    A     -     B     C

A minor accord C-7 develops to:

Tone                C     Db    D     Eb    E     F     Gb    G     Ab    A     Bb    B     C

Accord              C     -     -     Eb    -     -     -     G     -     -     Bb    -     C

Aolic               C     -     D     Eb    -     F     -     G     Ab    -     Bb    -     C

Bebop scale         C     -     D     Eb    -     F     -     G     Ab    -     Bb    B     C

Analogically on every step a new Bebop scale arises.