3-11-13-15 by 24/17 bihexany: Difference between revisions
Jump to navigation
Jump to search
Create Page. |
m Fix math error. |
||
| Line 1: | Line 1: | ||
[[File:3-11-13-15_by_24-17_Bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 195/187 13/12 13/11 5/4 15/11 24/17 65/44 26/17 312/187 30/17 360/187 2/1, with steps of 195/187 187/180 12/11 55/52 12/11 88/85 1105/1056 88/85 12/11 55/52 12/11 187/180. While it does not have any perfect fifths, this is pretty much the optimal way to expand the [[3-11-13-15_hexany|base hexany]] outward on a melodic level, and does cancel out at least some of the factors to produce simpler intervals as well, although others remain complex. It does have one fifth above the | [[File:3-11-13-15_by_24-17_Bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 195/187 13/12 13/11 5/4 15/11 24/17 65/44 26/17 312/187 30/17 360/187 2/1, with steps of 195/187 187/180 12/11 55/52 12/11 88/85 1105/1056 88/85 12/11 55/52 12/11 187/180. While it does not have any perfect fifths, this is pretty much the optimal way to expand the [[3-11-13-15_hexany|base hexany]] outward on a melodic level, and does cancel out at least some of the factors to produce simpler intervals as well, although others remain complex. It does have one fifth above the A which is only flat by [[936/935]], which provides probably the clearest point of stability. | ||
<pre> | <pre> | ||
Latest revision as of 12:46, 17 November 2025
A 17-limit bihexany. This creates a scale of 1 195/187 13/12 13/11 5/4 15/11 24/17 65/44 26/17 312/187 30/17 360/187 2/1, with steps of 195/187 187/180 12/11 55/52 12/11 88/85 1105/1056 88/85 12/11 55/52 12/11 187/180. While it does not have any perfect fifths, this is pretty much the optimal way to expand the base hexany outward on a melodic level, and does cancel out at least some of the factors to produce simpler intervals as well, although others remain complex. It does have one fifth above the A which is only flat by 936/935, which provides probably the clearest point of stability.
! 3-11-13-15_by_24_17-Bihexany.scl ! 3 11 13 15 by 24/17 2-combination Hexany 12 ! 72.523 138.572 289.209 386.313 536.950 596.999 675.523 735.572 886.209 983.313 1133.950 1200