3-5-7-11 stellated hexany: Difference between revisions

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[[File:3-5-7-11_Stellated_Hexany.png|thumb|Circle diagram.]] [[File:3-5-7-11_Stellated_Hexany_(rotated).png|thumb|Circle diagram. (rotated)]] An [[11-limit]] stellated [[Hexany]]. This creates a scale of 1 385/384 35/32 55/48 7/6 77/64 5/4 11/8 35/24 77/48 5/3 55/32 7/4 11/6 2/1, with steps of 85/384 12/11 22/21 56/55 33/32 80/77 11/10 35/33 11/10 80/77 33/32 56/55 22/21 12/11. This expands the [[3-5-7-11 hexany|base hexany]] out to a full 14 note scale with 6 perfect fifths, although it does not have one above the root and does have a very narrow comma step near the root note that produces only mild chorusing when the two notes are played together. Since it has no chains of fifths, it does not approximate common practice music, but has more than enough stable chords to be compositionally effective when used on its own terms.  
[[File:3-5-7-11_Stellated_Hexany.png|thumb|Circle diagram.]] [[File:3-5-7-11_Stellated_Hexany_(rotated).png|thumb|Circle diagram. (rotated)]] An [[11-limit]] stellated [[Hexany]]. This creates a scale of 1 385/384 35/32 55/48 7/6 77/64 5/4 11/8 35/24 77/48 5/3 55/32 7/4 11/6 2/1, with steps of 385/384 12/11 22/21 56/55 33/32 80/77 11/10 35/33 11/10 80/77 33/32 56/55 22/21 12/11. This expands the [[3-5-7-11 hexany|base hexany]] out to a full 14 note scale with 6 perfect fifths, although it does not have one above the root and does have a very narrow comma step near the root note that produces only mild chorusing when the two notes are played together. Since it has no chains of fifths, it does not approximate common practice music, but has more than enough stable chords to be compositionally effective when used on its own terms.  
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! 3-5-7-11_Stellated_Hexany.scl
! 3-5-7-11_Stellated_Hexany.scl

Latest revision as of 12:36, 12 April 2026

Circle diagram.
Circle diagram. (rotated)

An 11-limit stellated Hexany. This creates a scale of 1 385/384 35/32 55/48 7/6 77/64 5/4 11/8 35/24 77/48 5/3 55/32 7/4 11/6 2/1, with steps of 385/384 12/11 22/21 56/55 33/32 80/77 11/10 35/33 11/10 80/77 33/32 56/55 22/21 12/11. This expands the base hexany out to a full 14 note scale with 6 perfect fifths, although it does not have one above the root and does have a very narrow comma step near the root note that produces only mild chorusing when the two notes are played together. Since it has no chains of fifths, it does not approximate common practice music, but has more than enough stable chords to be compositionally effective when used on its own terms. 

! 3-5-7-11_Stellated_Hexany.scl
!
3 5 7 11 1-3-combination Hexany
14
!
4.5025
155.139
235.676
266.871
320.143
386.313
551.317
653.184
818.188
884.358
937.631
968.825
1049.362
1200
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