1-3-5-7 stellated hexany: Difference between revisions
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[[File:1-3-5-7_Stellated_Hexany.png|thumb|Circle diagram.]] The simplest possible stellated [[Hexany]], comprised of sum products 1-3 of the first four odd numbers. This creates a scale of 1 35/32 5/4 21/16 3/2 105/64 7/4 15/8 2/1, with steps of 35/32 8/7 21/20 8/7 35/32 16/15 15/14 16/15. As it has 1 as a factor, all the notes are otonal to the root and there are many repeated ones, leaving plenty of gaps on a standard keyboard. Every note is far enough from its neighbours to be melodically distinct, and there are a surprising number of xeharmonic ones, with 35/32 and 105/64 in particular falling almost precisely between the cracks of the 12edo keyboard. That makes this interesting melodically despite being very strongly rooted and somewhat limited in terms of modulation options. | [[File:1-3-5-7_Stellated_Hexany.png|thumb|Circle diagram.]] The simplest possible stellated [[Hexany]], comprised of sum products of multiplying out 1-3 of the first four odd numbers. This creates a scale of 1 35/32 5/4 21/16 3/2 105/64 7/4 15/8 2/1, with steps of 35/32 8/7 21/20 8/7 35/32 16/15 15/14 16/15. As it has 1 as a factor, all the notes are otonal to the root and there are many repeated ones, leaving plenty of gaps on a standard keyboard. Every note is far enough from its neighbours to be melodically distinct, and there are a surprising number of xeharmonic ones, with 35/32 and 105/64 in particular falling almost precisely between the cracks of the 12edo keyboard. That makes this interesting melodically despite being very strongly rooted and somewhat limited in terms of modulation options. | ||
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Latest revision as of 05:51, 9 January 2026
The simplest possible stellated Hexany, comprised of sum products of multiplying out 1-3 of the first four odd numbers. This creates a scale of 1 35/32 5/4 21/16 3/2 105/64 7/4 15/8 2/1, with steps of 35/32 8/7 21/20 8/7 35/32 16/15 15/14 16/15. As it has 1 as a factor, all the notes are otonal to the root and there are many repeated ones, leaving plenty of gaps on a standard keyboard. Every note is far enough from its neighbours to be melodically distinct, and there are a surprising number of xeharmonic ones, with 35/32 and 105/64 in particular falling almost precisely between the cracks of the 12edo keyboard. That makes this interesting melodically despite being very strongly rooted and somewhat limited in terms of modulation options.
! 1-3-5-7_Stellated_Hexany.scl ! 1 3 5 7 1-3-combination Hexany 8 ! 155.139 386.313 470.781 701.955 857.094 968.825 1088.268 1200
Suggested keyboard mapping: C D E F G A Bb B C