Metallic MOS: Difference between revisions

Cmloegcmluin (talk | contribs)
μ notation: use LaTeX tau
Cmloegcmluin (talk | contribs)
Levels of metallicity: correction (thanks Dave) plus typo Chrome caught
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So if we want a golden scale, and we also happen to want a generator near <math>0.276393</math>, then we’re in luck. But if we want a golden generator that is close to <math>0.275267</math>, we may be disappointed to hear that it is not “golden” enough for us.
So if we want a golden scale, and we also happen to want a generator near <math>0.276393</math>, then we’re in luck. But if we want a golden generator that is close to <math>0.275267</math>, we may be disappointed to hear that it is not “golden” enough for us.


Wilson [http://www.anaphoria.com/hrgm.PDF documented noble scale sequences through the sixth level of the Stern-Brocot tree] (or as he called it, the “scale tree” or “Peirce Series”), totalling 32 noble generators. He also [http://anaphoria.com/sctree.pdf recorded just the generator values down to the eleventh level] for a total of 1024 generators. Exploring generators beyond that was probably just not worth it, because their metallicity levels are too low. We will cut ourselves off at the seventh level in our scale trees, as we depict generators for the silver and bronze means, and their isotopes too.
Wilson [http://www.anaphoria.com/hrgm.PDF documented noble scale sequences through the seventh level of the Stern-Brocot tree] (or as he called it, the “scale tree” or “Peirce Series”), totaling 64 noble generators. He also [http://anaphoria.com/sctree.pdf recorded just the generator values down to the eleventh level] for a total of 1024 generators. Exploring generators beyond that was probably just not worth it, because their metallicity levels are too low. We will cut ourselves off at the seventh level in our scale trees, as we depict generators for the silver and bronze means, and their isotopes too.


=== Naming generators ===
=== Naming generators ===