User:Burkhard

About me

I am Burkhard von Stackelberg, an ambitious musical hobbyist living in Stuttgart. Not the one in Kansas nor the one in Arkansas, but the much bigger one in Germany. While I mainly compose in 12edo (or, let's say, my music is mostly interpretable and understandable in 12edo), some of it is microtonal. Like most of us, I am grown up in a 12edo context culture, and most instruments I deal with strengthen a 12edo position, but in electronic music I like to use a bunch of possibilities, of which 12edo is but one.

Music you can listen to

At https://soundcloud.com/user-824310486 you find me as Muckotron with my electronic music.

Jolly Ride is a piece written in the equal-tempered Bohlen-Piercescale (13ed3). Using an eclectic musical language from baroque, jazz/ragtime, and impressionism, I tried to shed light on the possibilities of BP. Using mostly the lambda scale as a base, modulating between different tonalities, I also use False Father with its pseudo-octave at one point. BP is mostly known as a scale with low tension, I found that there is more in it. Enjoy a jolly ride on an exoplanetary camel!

Blues around Trappist-1

Would blues on an other world sound like that?

Tuning recipe: Start with a 9:10:11 chord. Repeat it all over in 7:9 periods. While giving you savvy 7:9:10:11 harmonies, it lacks a clear octave period, forcing you to seemingly polytonal settings.

Scales and tuning recipes

Interleaving scales (for no better name)

Experimenting in the neighbourhood of diatonic JI, I found some scales with astonishing similarities in the way they can be build, leading to a whole scale family with low harmonic entropy.

Diatonic JI scale

• Start with a 8:9:10 chord.
• Iterate this pattern every 6:8, i.e. 3:4.
• Stop iteration at the octave (2:1).

The scale contains a 6:8:9:10 chord, whose inversion is a (filled) major chord: 8:9:10:12. This pattern occurs twice. The third major chord contains a Pythagorean major third (diapasson).

The resulting scale:

! byzantine.scl

Byzantine Diatonic

! repeats every 4:3 until iteration stops at the octave.

7

!

9/8

5/4

4/3

3/2

5/3

6/9

2

The scale steps are: 9/8, 10/9, 16/15, 9/8, 10/9, 16/15, 9/8.

Slendro JI scale

• Start with a 6:7:8 chord.
• Iterate this pattern every 6:4, i.e. 3:2.
• Stop iteration at the octave (2:1)

The pattern contains a 4:6:7:8 chord, which can be interpreted as a 2:3:4 open-fifth chord, which is septimally filled. This pattern occurs once

The resulting scale:

! ji-slendro.scl
JI Slendro
! 
5
!
7/6
4/3
3/2
7/4
2

The scale steps are: 7/6, 8/7, 9/8, 7/6, 8/7

Sweet Nine

• Start with a 10:11:12 chord.
• Iterate this pattern every 10:8, i.e. 5:4.
• Stop iteration at the octave.

The base chord ist 8:10:11:12.

The basic scale steps are 11/10, 12/11 and 25/24. The iteration stops at a 16/15 interval.

The resulting scale:

! sweetnine.scl

Sweet Nine. Based on an 8:10:11:12 chord.

!

9

!

11/10

6/5

5/4

11/8

3/2

25/16

55/32

15/8

2

General pattern

• Choose a chord of 3 following integers, for example 3:4:5
• Double the numbers, filling the upper gap. Example: 6:8:9:10. This is your base chord.
• Start your scale with the upper triad as your chord.
• Iterate this chord, using the lower dyad as generator.
• Stop iteration at a chosen period interval. Example: 2:1