Formulas

A user-defined formula in the EaganMatrix

A matrix is a flexible and compact patching system, allowing every source patchable to every destination. The implementation in the EaganMatrix is an expanded concept to this analog matrix model. In the EaganMatrix each of those possible matrix points can be connected by a highly flexible and powerful Matrix Formula. This formula is primarily a mathematically stylized interpretation of the Continuum playing surface, as well as other control inputs like knobs and performance pedals. So, unlike a matrix patch pin that could only potentially pass the Source to the Destination at full, or perhaps half level, an EaganMatrix patching “pin” can be dynamically altered in real time through a player’s interaction with the Continuum Fingerboard.

On the surface, this could be compared to a modulation parameter used on many other synthesizer software products. However, the EaganMatrix has a far greater flexible architecture. Marrying this architecture to a high speed expressive controller like the Continuum further differentiates the EaganMatrix patch point from other software (or hardware, for that matter) musical instruments.

A matrix formula is divided into four primary components: W, X, Y, and Z. These four components relate to the possible finger position in relation to the Continuum Fingerboard playing surface.

W is a representation of whether or not the finger is in contact with the surface, and X, Y, and Z are the positional information based on the finger’s position in three dimensional space. These four basic sub-blocks of the formula can be used in any combination uniquely within each formula. Using this information, a finger can act as a volume control, a pitch modifier, a filter cutoff set point, etc. Presets for the Formulas are available making it easy to get started influencing the design of a sound. Another convenience factor is that the same formula can be used multiple times, saving time for repetitive patching.

Each formula can use a unique LFO shape with any LFO. Formulas can be modified to have a global effect on the column that they are influencing. As well, every formula can reference another formula, such that limits within one formula can influence the output of another. All this happens at high speed with direct interaction of the Continuum playing surface, creating musical performance that feels more acoustic than electronic: immediate, controllable, and expressive.

Much like a musician will choose a musical instrument based on preferences of bridge height, body shape, tonal balance and a myriad of other subtle factors, the EaganMatrix formula structure makes it possible to impose subtle (or dramatic, for that matter) changes to sounds to personalize the experience of playing a Continuum Fingerboard.

EaganMatrix

Examples