1-3-5-7-13 dekany: Difference between revisions
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The simplest [[13-odd-limit]] [[dekany]]. This creates a scale of 1 13/12 7/6 5/4 65/48 35/24 13/8 5/3 7/4 91/48, with steps of 13/12 14/13 15/14 13/12 14/13 39/35 40/39 21/20 13/12 96/91. Since every step is a quartertone or larger, it can be mapped unambiguously to a standard 12-tone keyboard. Although there is no 3/2 above the root note, there are ones above 5/3, 13/12 and 7/6 that create a warped version of a I IV V chord sequence and give those notes greater stability as roots. | [[File:Dekany 1 3 5 7 13.png|thumb|Circle diagram (rotated).]] The simplest [[13-odd-limit]] [[dekany]]. This creates a scale of 1 13/12 7/6 5/4 65/48 35/24 13/8 5/3 7/4 91/48, with steps of 13/12 14/13 15/14 13/12 14/13 39/35 40/39 21/20 13/12 96/91. Since every step is a quartertone or larger, it can be mapped unambiguously to a standard 12-tone keyboard. Although there is no 3/2 above the root note, there are ones above 5/3, 13/12 and 7/6 that create a warped version of a I IV V chord sequence and give those notes greater stability as roots. | ||
<pre> | <pre> | ||
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[[Category:Dekanies]] | [[Category:Dekanies]] | ||
[[Category:10-tone scales]] | [[Category:10-tone scales]] | ||
[[Category:Pages with Scala files]] | [[Category:Pages with Scala files]] | ||
Latest revision as of 08:55, 5 October 2025
The simplest 13-odd-limit dekany. This creates a scale of 1 13/12 7/6 5/4 65/48 35/24 13/8 5/3 7/4 91/48, with steps of 13/12 14/13 15/14 13/12 14/13 39/35 40/39 21/20 13/12 96/91. Since every step is a quartertone or larger, it can be mapped unambiguously to a standard 12-tone keyboard. Although there is no 3/2 above the root note, there are ones above 5/3, 13/12 and 7/6 that create a warped version of a I IV V chord sequence and give those notes greater stability as roots.
! 1-3-5-7-13_Dekany.scl ! 1 3 5 7 13 2-combination Dekany 10 ! 13/12 7/6 5/4 65/48 35/24 13/8 5/3 7/4 91/48 2/1
Suggested keyboard mapping: Start on C, skipping the D and F# notes.