Division of octave

[bluesky]

Hi there, have been hearing alot about division of octaves soun equal parts e.g in the case of tritone sub. My worry is the techniques employed in the division of octave; how's the division done. Thanks

[brwnhornet59]

The octave is comprised of twelve 1/2 step intervals. If you divide the octave in half, you get six 1/2 steps, that would be a tritone sub. It is a b5, (#4), interval.

If you divide it in 1/3's then you have three groups of notes, four 1/2 step intervals, which is a major 3rd. This is augmented, commonly known as the Coltrane intervals. It is how the augmented scale is built.

If you divide the octave in 1/4's then you have 4 groups of notes that are a minor 3rd apart, (three 1/2 steps), this is how the h/w and w/h, diminished scale works.

See the symmetry?

[bako]

m2nd-----12 parts
Ma2nd-----6 parts
m3rd-------4 parts
Ma3rd------3 parts
P4th--------5 octaves into 12 parts
b5/#4------2 parts
P5th--------7 octaves into 12 parts
m6th-------2 octaves into 3 parts
Ma6th------3 octaves into 4 parts
m7th-------5 octaves into 6 parts
Ma7th------11 octaves into 12 parts
8ve---------1 part

My principle guitar has 3 + 1/3 octaves, oh well.
Interval cycles can be used to arrive at a place at a certain time.

[bluesky]

Thanks guys, I'm begining to get it bit by bit. I'll work on it.