Metallic MOS: Difference between revisions

Cmloegcmluin (talk | contribs)
Cmloegcmluin (talk | contribs)
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We can visualize the interval pattern using what is called a horogram:
We can visualize the interval pattern using what is called a horogram:
[[File:Golden horogram.png|alt=horogram for g ≈ 0.381966, 7 iterations|right|392x392px|horogram for g ≈ 0.381966, 7 iterations]]
[[File:Golden_horogram.png|alt=horogram for g ≈ 0.381966, 7 iterations|none|frame|horogram for g ≈ 0.381966, 7 iterations]]
 
Horograms depict the scale sequences of MOS generators. To understand how the horogram illustrates the interval pattern, too, first consider just the left side of the interval pattern, for <span><math>L</math></span>:
Horograms depict the scale sequences of MOS generators. To understand how the horogram illustrates the interval pattern, too, first consider just the left side of the interval pattern, for <span><math>L</math></span>:


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=== Beyond golden cases ===
=== Beyond golden cases ===


If the golden mean is the value for which <span><math>a{:}b = (a+b){:}a</math></span>, then the silver mean is the value for which  
If the golden mean is the value for which <span><math>a{:}b = (a+b){:}a</math></span>, then the silver mean is the value for which


<math> a{:}b = (2a+b){:}a = δ_s
<math> a{:}b = (2a+b){:}a = δ_s