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3-5-15-19 by 9/8 bihexany: Difference between revisions

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[[File:3-5-15-19_by_9-8_Bihexany.png|thumb|Circle diagram.]] A [[19-limit]] [[bihexany]]. This creates a scale of 1 171/160 9/8 19/16 5/4 171/128 45/32 3/2 19/12 27/16 57/32 19/10 2/1, with steps of 171/160 20/19 19/18 20/19 171/160 20/19 16/15 19/18 81/76 19/18 16/15 20/19. Since the basic hexany maps neatly to the augmented scale, this degree of offset works well to provide a just 12 note scale that fits a regular keyboard unambiguously with many consonant chords. 6 notes have perfect 3/2's above them, a 7th has a 256/171 fifth that is indistinguishable from just to most ears, 3 have flat wolf fifths and 2 have sharp wolf fifths.
[[File:3-5-15-19_by_9-8_Bihexany.png|thumb|Circle diagram.]] A [[19-limit]] [[bihexany]]. This creates a scale of 1 171/160 9/8 19/16 5/4 171/128 45/32 3/2 19/12 27/16 57/32 19/10 2/1, with steps of 171/160 20/19 19/18 20/19 171/160 20/19 16/15 19/18 81/76 19/18 16/15 20/19. Since the [[3-5-15-19 hexany|base hexany]] maps neatly to the augmented scale, this degree of offset works well to provide a just 12 note scale that fits a regular keyboard unambiguously with many consonant chords. 6 notes have perfect 3/2's above them, a 7th has a 256/171 fifth that is indistinguishable from just to most ears, 2 are sharp and 1 is flat by [[76/75]], and 2 are flat by a [[syntonic comma]], creating obvious wolves if used to create chords.


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