Pinetone: Difference between revisions

Lhearne (talk | contribs)
Lhearne (talk | contribs)
Tags: Mobile edit Mobile web edit
Line 3,282: Line 3,282:


== Final thoughts ==
== Final thoughts ==
I find the diatonic and the harmonic diminished to be the most desirable of the albitonic Pinetone scales as the only ones with four 3/2s with with mean variety less than or equal to 3, along with and the major and minor harmonic octatonics as they contain 5 major/minor triads (on four roots), the most of any albitonic Pinetone scale (in comparison, the [[diminished scale]] contains 8 major/minor triads on four roots, the Meantone diatonic scale contains 6 major/minor triads on 6 roots, and Porcupine[8] contains 6 major/minor triads on 4 roots). The harmonic diminished, as well as the harmonic minor and harmonic major are not built from step-nesting, but found as subsets of child step-nested scales that can be modified by chromas to give step-nested scales.  
I find the diatonic and the harmonic diminished to be the most desirable of the albitonic Pinetone scales as the only ones with four 3/2s with with mean variety less than or equal to 3, along with and the major and minor harmonic octatonics as they contain 5 major/minor triads (on 4 roots), the most of any albitonic Pinetone scale (in comparison, the [[diminished scale]] contains 8 major/minor triads on 4 roots, the Meantone diatonic scale contains 6 major/minor triads on 6 roots, and Porcupine[8] contains 6 major/minor triads on 4 roots). The harmonic diminished, as well as the harmonic minor and harmonic major are not built directly by step-nesting, but found as subsets of child step-nested scales that can be modified by chromas to give step-nested scales.  
 
[[Category:Porcupine]]
[[Category:Porcupine]]
[[Category:Meantone]]
[[Category:Meantone]]
[[Category:Essays]]
[[Category:Essays]]
[[Category:Rank-3 scales]]
[[Category:Rank-3 scales]]