Overtone scale: Difference between revisions

Sintel (talk | contribs)
Categorize modes by divisors, style, reduce solfege tables
Sintel (talk | contribs)
Remove primodality section (contains no useful information, and linked already)
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Mode 30 in particular is interesting because 30 is the product of the first three primes, so it is a fairly good choice if we want a tonic that is not a power of two. It contains modes 6 and 10 as subsets. We have the classic minor triad (from 10), the subminor triad (from 6), two major triads in 30:37:45 and 30:38:45, and the Barbados triad of 30:39:45. Chords not based on the tonic include the harmonic seventh chord (32:40:48:56). A good 13-limit subset with 16 notes in it is 30:32:33:35:36:39:40:42:44:45:48:49:50:54:55:56:60.
Mode 30 in particular is interesting because 30 is the product of the first three primes, so it is a fairly good choice if we want a tonic that is not a power of two. It contains modes 6 and 10 as subsets. We have the classic minor triad (from 10), the subminor triad (from 6), two major triads in 30:37:45 and 30:38:45, and the Barbados triad of 30:39:45. Chords not based on the tonic include the harmonic seventh chord (32:40:48:56). A good 13-limit subset with 16 notes in it is 30:32:33:35:36:39:40:42:44:45:48:49:50:54:55:56:60.
== Primodality ==
[[Primodality]] is a compositional, theoretical and philosophical framework built around the use of large prime modes of the harmonic series. It has its own article, because it is too extensive to do justice here.


== Solfege systems ==
== Solfege systems ==