Metallic MOS: Difference between revisions
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We’ve stated that <span><math>L{:}s = φ</math></span> for every golden scale, while <span><math>L{:}s</math></span> for noble scales eventually do, just not at first. Noble <span><math>L{:}s</math></span> sequences lock onto <span><math>φ</math></span> at the point where depleting the continued fraction more no longer changes it (removing a <span><math>1</math></span> from the beginning of an infinite string of <span><math>1</math></span>’s is a no-op). | We’ve stated that <span><math>L{:}s = φ</math></span> for every golden scale, while <span><math>L{:}s</math></span> for noble scales eventually do, just not at first. Noble <span><math>L{:}s</math></span> sequences lock onto <span><math>φ</math></span> at the point where depleting the continued fraction more no longer changes it (removing a <span><math>1</math></span> from the beginning of an infinite string of <span><math>1</math></span>’s is a no-op). | ||
Thus it makes sense that logarithmic phi’s <span><math>L{:}s</math></span> sequence remains fixed from the beginning, because with a continued fraction of <span><math>[0; 1]</ | Thus it makes sense that logarithmic phi’s <span><math>L{:}s</math></span> sequence remains fixed from the beginning, because with a continued fraction of <span><math>[0; 1]</math></span> we get the <span><math>L{:}s</math></span> sequence | ||
<math> | <math> | ||