Aberrismic theory: Difference between revisions
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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: | 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: | ||
* [[pinedye]] (5L2m1s) | * [[pinedye]] (5L2m1s or 1s) | ||
* [[diasem]] (5L2m2s) | * [[diasem]] (5L2m2s or 2s) | ||
* [[blackdye]] (5L2m3s) | * [[blackdye]] (5L2m3s or 3s) | ||
* [[diamech]] (5L2m4s) | * [[diamech]] (5L2m4s or 4s) | ||
* 5L2m5s | * 5L2m5s (or 5s) | ||
== Aberrismic theory and RTT == | == Aberrismic theory and RTT == | ||
Certain scales with aberrismas may be endowed with JI interpretations via RTT temperaments, such as [[equal temperament]]s. Under groundfault's 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 aberrismic scales that admit more accurate 2.3.5.7 temperament interpretations, such as 5L2m5s, tend to identify 81/80 and 64/63, tempering out [[5120/5103]]. | Certain scales with aberrismas may be endowed with JI interpretations via RTT temperaments, such as [[equal temperament]]s. Under groundfault's 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 aberrismic scales that admit more accurate 2.3.5.7 temperament interpretations, such as 5L2m5s, tend to identify 81/80 and 64/63, tempering out [[5120/5103]]. | ||