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1-3-7-9-13 dekany: Difference between revisions

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[[File:1-3-7-9-13_Dekany.png|thumb|Circle diagram.]]  The simplest possible [[No-fives_subgroup_temperaments|no-5's]] [[dekany]]. This creates a scale of 1 13/12 9/8 7/6 39/32 21/16 3/2 13/8 7/4 91/48 2/1, with steps of 13/12 27/26 28/27 117/112 14/13 8/7 13/12 14/13 13/12 96/91. This extends the basic [[archy]] scale of the [[1-3-7-9 hexany]] into a 10 note scale with 6 perfect 5ths and plenty of consonant chords, with no intervals smaller than a third-tone, making it both melodically strong and easily accessible while still having quite a few obviously xenharmonic notes.
[[File:1-3-7-9-13_Dekany.png|thumb|Circle diagram.]]  A [[13-odd-limit]] [[dekany]]. This creates a scale of 1 13/12 9/8 7/6 39/32 21/16 3/2 13/8 7/4 91/48 2/1, with steps of 13/12 27/26 28/27 117/112 14/13 8/7 13/12 14/13 13/12 96/91. This extends the basic [[archy]] scale of the [[1-3-7-9 hexany]] into a 10 note scale with 6 perfect 5ths and plenty of consonant chords, with no intervals smaller than a third-tone, making it both melodically strong and easily accessible while still having quite a few obviously xenharmonic notes.


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