Metallic intonation: Difference between revisions
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The metallic means are taken as [[basis element]]s of [[subgroup]]s rather than [[prime]]s, but not all metallic means are included because some can be expressed in terms of other metallic means, similar to how some integers are composite. For example, the fourth metallic harmonic is a redundant generator because it is the golden ratio (the first metallic harmonic) cubed. | The metallic means are taken as [[basis element]]s of [[subgroup]]s rather than [[prime]]s, but not all metallic means are included because some can be expressed in terms of other metallic means, similar to how some integers are composite. For example, the fourth metallic harmonic is a redundant generator because it is the golden ratio (the first metallic harmonic) cubed. | ||
== Harmony == | |||
If reduced with acoustic phi as the period, the chord formed by the silver and bronze ratios above the root is, coincidentally, a fairly conventional major triad (0-402.2¢-692.7¢). This makes it so traditional chord types are easily accessible but not octaves, similarly to the [[Carlos Alpha]] tuning. | |||
[[Category:Tuning]] | [[Category:Tuning]] | ||
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