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3-5-15-21 hexany: Difference between revisions

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A 7-limit [[Hexany]]. This creates a scale of 1 21/20 5/4 21/16 3/2 7/4 2/1, with steps of 21/20 25/21 21/20 8/7 7/6 8/7. Since all but one of the notes are pure otonalities of the root, this scale is particularly solidly rooted and consonant, with all notes playable at once without clashing in the correct voicing. It contains 5-limit major and minor chords that extend naturally to 4:5:6:7 and 12/12 12/10 12/8 12/7 tetrads.  
[[File:Hexany 3 5 15 21.png|thumb|Circle diagram (rotated).]] A 7-limit [[Hexany]]. This creates a scale of 1 21/20 5/4 21/16 3/2 7/4 2/1, with steps of 21/20 25/21 21/20 8/7 7/6 8/7. Since all but one of the notes are pure otonalities of the root, this scale is particularly solidly rooted and consonant, with all notes playable at once without clashing in the correct voicing. It contains 5-limit major and minor chords that extend naturally to 4:5:6:7 and 12/12 12/10 12/8 12/7 tetrads.  


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