Glee.md

Glee

Glee is a low frequency (and ultra-low frequency) chaotic oscillator.

Demo video

Omri Cohen gives a tutorial of using Frolic and Glee to generate chaotic modulation:

Mathematical basis

Glee is based on the Aizawa Attractor, a system of three differential equations

$$ \frac{\mathrm{d}x}{\mathrm{d}t} = (z - B)x - D y $$

$$ \frac{\mathrm{d}y}{\mathrm{d}t} = D x + (z - B)y $$

$$ \frac{\mathrm{d}z}{\mathrm{d}t} = C + A z - \frac{z^3}{3} - (x^2+y^2)(1 + E z) + F z x^3 $$

The right sides of these equations are all linear functions of $x$, $y$, and $z$. The left sides are all rates of change of these variables with time.

The equations above convert the current location of a particle into a velocity vector that points in the direction the particle must move. No matter where the particle is, Glee calculates its velocity vector and uses it to update the particle's position vector.

Outputs

The outputs are available in two different forms, for convenience:

1. Three separate monophonic output ports for X, Y, and Z respectively. These ports support voltage flipping.
2. A polyphonic port P that represents the vector (X, Y, Z) using 3 channels.

Knobs

SPEED: This knob allows varying how fast the simulation runs. The default speed is 0, but speed may be set anywhere from −7 to +7. Each unit on this knob's scale represents a factor of 2. That means when you change SPEED from 0 to +3, it will be $2^3=8$ times faster. Thus the speed can made $2^7=128$ times slower than the default by turning the SPEED knob all the way to the left, or 128 times faster than the default by turning it all the way to the right.

However, at the risk of using a LOT more CPU time, you can right-click on the SPEED knob and toggle "Turbo Mode", which adds a +5 bonus to the SPEED value. This is the same as multiplying the effective speed by 32.

CHAOS: This knob controls the value of a constant in the Aizawa attractor in a way that varies the nature of its chaotic orbit.

Glee supports 4 distinct chaos modes that are named after kinds of fruit. Each fruit name starts with the same letter as the Aizawa parameter being controlled:

• Apple for $A$.
• Banana for $B$.
• Cantaloupe for $C$. (This mode is boring, but kept for backward compatibility.)
• Elderberry for $E$.

When loading patches that were made before Glee supported chaos modes, Glee preserves backward compatibility by using Cantalope mode.

However, because any of the other three modes is far more interesting than Cantaloupe, the default for newly created instances of Glee is Apple.

You can change the chaos mode by right-clicking on the CHAOS knob and selecting one of the chaos mode options:

Both Turbo Mode and Chaos Mode are also available in the right-click menu of the Glee panel.

CV input

The SPEED and CHOAS knobs have associated attenuverters and CV input ports. Both can be operated over the full knob range using a wide enough attenuverter setting.

Graphing with Tricorder

Tricorder is a 3D oscilloscope designed for compatibility with Glee. If you place a Glee immediately to the left of a Tricorder, Glee will start to feed data into Tricorder, which will plot a 3D graph: