3-5-7-9-15 dekany: Difference between revisions
Jump to navigation
Jump to search
Create Page. |
m Fix math error. |
||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
[[File:3-5-7-9-15_Dekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[dekany]]. This creates a scale of 1 21/20 9/8 7/6 5/4 7/5 3/2 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 28/25 15/14 | [[File:3-5-7-9-15_Dekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[dekany]]. This creates a scale of 1 21/20 9/8 7/6 5/4 7/5 3/2 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 28/25 15/14 7/6 36/35 10/9. (3/2 appears twice as the reduced product of 3x15 and 5x9) While slightly reduced in compositional options compared to the average dekany, the ones it does have are filled with simple ratios and easy to use chords, including four perfect fifths and the full harmonic series up to 10 above the root note, making it highly accessible to casual users. | ||
<pre> | <pre> | ||
| Line 5: | Line 5: | ||
! | ! | ||
3 5 7 9 15 2-combination Dekany | 3 5 7 9 15 2-combination Dekany | ||
9 | |||
! | ! | ||
84.467 | 84.467 | ||
Latest revision as of 16:17, 28 February 2026
A 15-odd-limit dekany. This creates a scale of 1 21/20 9/8 7/6 5/4 7/5 3/2 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 28/25 15/14 7/6 36/35 10/9. (3/2 appears twice as the reduced product of 3x15 and 5x9) While slightly reduced in compositional options compared to the average dekany, the ones it does have are filled with simple ratios and easy to use chords, including four perfect fifths and the full harmonic series up to 10 above the root note, making it highly accessible to casual users.
! 3-5-7-9-15_Dekany.scl ! 3 5 7 9 15 2-combination Dekany 9 ! 84.467 203.910 266.871 386.313 582.512 701.955 968.825 1017.596 1200
Suggested keyboard mapping: Start on C, Skipping the F, Ab and B notes.