Metallic intonation: Difference between revisions

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== Harmony ==
== 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 in metallic intonation systems, but not [[2/1|octave]]s, similarly to the [[Carlos Alpha]] tuning. [[6edφ]] offers a basic equal-tempered approximation of the metallic major triad by steps 0-3-5 (0¢-416.5¢-694.2¢), although the sharpness of the major third is more apparent here and it may sound "more xenharmonic".
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 in metallic intonation systems, but not [[2/1|octave]]s, similarly to the [[Carlos Alpha]] tuning. [[6edφ]] offers a basic equal-tempered approximation of the metallic major triad by steps 0-3-5 (0¢-416.5¢-694.2¢), although with a noticeably sharp third. Systems containing "quasi-equalized" versions of 6edφ, such as [[17edφ]] and [[23edφ]] include more accurate approximations.
[[Category:Tuning]]




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