5-7-9-15 hexany: Difference between revisions
Jump to navigation
Jump to search
Create Page. |
Derived bihexanies. |
||
| Line 1: | Line 1: | ||
[[File:5-7-9-15_Hexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[Hexany]]. This creates a scale of 1 15/14 9/7 3/2 9/5 27/14 2/1, with steps of 15/14 6/5 7/6 6/5 15/14 28/27. This is a detemper of [[starling]] temperament, a near equal chain of minor thirds with a cluster of smaller intervals at one end. It has two perfect fifths and both of those have a consonant septimal third between them, giving it decent compositional possibility, but because of the way it clusters, expanding it out to a bihexany without introducing microtonal intervals is challenging. | [[File:5-7-9-15_Hexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[Hexany]]. This creates a scale of 1 15/14 9/7 3/2 9/5 27/14 2/1, with steps of 15/14 6/5 7/6 6/5 15/14 28/27. This is a detemper of [[starling]] temperament, a near equal chain of minor thirds with a cluster of smaller intervals at one end. It has two perfect fifths and both of those have a consonant septimal third between them, giving it decent compositional possibility, but because of the way it clusters, expanding it out to a bihexany without introducing microtonal intervals is challenging, as the following examples demonstrate. | ||
* [[5-7-9-15 by 5/4 bihexany]] | |||
* [[5-7-9-15 by 7/4 bihexany]] | |||
* [[5-7-9-15 by 9/8 bihexany]] | |||
* [[5-7-9-15 by 11/9 bihexany]] | |||
* [[5-7-9-15 by 29/18 bihexany]] | |||
<pre> | <pre> | ||
Latest revision as of 19:13, 18 November 2025
A 15-odd-limit Hexany. This creates a scale of 1 15/14 9/7 3/2 9/5 27/14 2/1, with steps of 15/14 6/5 7/6 6/5 15/14 28/27. This is a detemper of starling temperament, a near equal chain of minor thirds with a cluster of smaller intervals at one end. It has two perfect fifths and both of those have a consonant septimal third between them, giving it decent compositional possibility, but because of the way it clusters, expanding it out to a bihexany without introducing microtonal intervals is challenging, as the following examples demonstrate.
- 5-7-9-15 by 5/4 bihexany
- 5-7-9-15 by 7/4 bihexany
- 5-7-9-15 by 9/8 bihexany
- 5-7-9-15 by 11/9 bihexany
- 5-7-9-15 by 29/18 bihexany
! 5-7-9-15_Hexany.scl ! 5 7 9 15 2-combination Hexany 6 ! 119.442 435.084 701.955 1017.596 1137.039 1200
Suggested keyboard mapping: C Db E G Bb B C