Aberrismic theory
In groundfault's aberrismic theory, an aberrisma is a type of scale step which can be added to a scale pattern to turn it into a scale of one rank higher. Aberrismas are a new category of melodic steps that are smaller than the steps in the original scale, which are prototypically whole tones and semitones; the typical range for an aberrisma is 20 to 60 cents, with optimal size approximately 40 cents according to groundfault. Examples of ternary patterns that can be made by adding aberrismas to diatonic scales are:
Aberrismic theory and RTT
Scales with aberrismas may be given JI interpretations via RTT temperaments, which may then be tempered to edos. Under an RTT interpretation, the aberrisma tends to become 81/80 in a 2.3.5 context and a 64/63 in a 2.3.7 context. Thus an aberrismic scale that admits a 2.3.5.7 temperament interpretation tends to identify 81/80 and 64/63, tempering out 5120/5103.