1-5-9-13 by 3/2 bihexany: Difference between revisions

Yourmusic Productions (talk | contribs)
Elaborating on the basic 1 5 9 13 hexany as a demonstration.
 
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A [[13-limit]] [[bihexany]]. This creates a scale of 1 351/320 9/8 39/32 13/10 27/20 117/80 3/2 13/8 27/16 9/5 39/20 2/1, with steps of 351/320 40/39 13/12 16/15 27/26 13/12 40/39 13/12 27/26 16/15 13/12 40/39. While sharp-trending, this does map unambiguously to a 12-tone keyboard and no notes are smaller than a fifth-tone, making all the steps melodically usable, and 8 of the notes have a 3/2 above them to create stable chords with, a few of which also have [[5-limit]] major or minor chords, giving it a wide selection of both familiar and xenharmonic harmonies.
[[File:Bihexany 1 5 9 13 by 3over2.png|thumb|Circle diagram.]] A [[13-limit]] [[bihexany]]. This creates a scale of 1 351/320 9/8 39/32 13/10 27/20 117/80 3/2 13/8 27/16 9/5 39/20 2/1, with steps of 351/320 40/39 13/12 16/15 27/26 13/12 40/39 13/12 27/26 16/15 13/12 40/39. While sharp-trending, this does map unambiguously to a 12-tone keyboard and no notes are smaller than a fifth-tone, making all the steps melodically usable, and 8 of the notes have a 3/2 above them to create stable chords with, a few of which also have [[5-limit]] major or minor chords, giving it a wide selection of both familiar and xenharmonic harmonies.


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