Guide frame: Difference between revisions
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Created page with "'''Guide frames''' are the most recent formulation of "nice" scales in Inthar's theory. A guide frame consists of: # a ''guided generator sequence'' (GGS) GS(g1, g2, ...), whe..." |
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'''Guide frames''' are the most recent formulation of "nice" scales in Inthar's theory. A guide frame consists of: | '''Guide frames''' are the most recent formulation of "nice" scales in Inthar's theory. A guide frame consists of: | ||
# a ''guided generator sequence'' (GGS) GS(g1, g2, ...), where each generator subtends the same fixed number of steps in the scale; | # a ''guided generator sequence'' (GGS) GS(g1, g2, ...), where each generator subtends the same fixed number of steps in the scale; | ||
# a ''polyoffset'' (offset chord) for that generator sequence where every copy of the generator sequence has the same length. This is the unison for scales with only one GGS chain and a dyad for scales with two GGS chains. LssLssLssMssLssLssMss has three GGS chains; note that the polyoffset is also GS(s). | # a ''polyoffset'' (offset chord) for that generator sequence where every copy of the generator sequence has the same length. This is the unison for scales with only one GGS chain and a dyad for scales with two GGS chains. LssLssLssMssLssLssMss has three GGS chains; note that the polyoffset is also GS(s). The size of the polyoffset is called the ''multiplicity'' of the guide frame. | ||
Scales that consist of an offset but where the two chains have different lengths can be formulated as a modification of a guide-frame scale. An example is chiral diachrome which can be modified from achiral diachrome by moving one note from one GGS chain to the other. | Scales that consist of an offset but where the two chains have different lengths can be formulated as a modification of a guide-frame scale. An example is chiral diachrome which can be modified from achiral diachrome by moving one note from one GGS chain to the other. | ||
The term is inspired by Scott Dakota's "guide generators". The idea is that a guide frame scale is a detempered MOS. | |||
Revision as of 13:30, 9 August 2024
Guide frames are the most recent formulation of "nice" scales in Inthar's theory. A guide frame consists of:
- a guided generator sequence (GGS) GS(g1, g2, ...), where each generator subtends the same fixed number of steps in the scale;
- a polyoffset (offset chord) for that generator sequence where every copy of the generator sequence has the same length. This is the unison for scales with only one GGS chain and a dyad for scales with two GGS chains. LssLssLssMssLssLssMss has three GGS chains; note that the polyoffset is also GS(s). The size of the polyoffset is called the multiplicity of the guide frame.
Scales that consist of an offset but where the two chains have different lengths can be formulated as a modification of a guide-frame scale. An example is chiral diachrome which can be modified from achiral diachrome by moving one note from one GGS chain to the other.
The term is inspired by Scott Dakota's "guide generators". The idea is that a guide frame scale is a detempered MOS.