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2026-05-07T09:11:57Z

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[[File:1-3-9-15_Stellated_Hexany.png|thumb|Circle diagram.]] [[File:1-3-9-15_Stellated_Hexany_(rotated).png|thumb|Circle diagram. (rotated)]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 135/128 9/8 45/32 3/2 405/256 27/16 15/8 2/1, with steps of 135/128 16/15 5/4 16/15 135/128 16/15 10/9 16/15. This only adds two notes to the [[1-3-9-15 hexany|base hexany]], which do increase the number of perfect fifths available to 6, but does not reduce the size of the largest step or give you a complete diatonic scale, instead adding extra notes on the opposite sides of the chains of fifths. This means this is not truly xenharmonic, as it can easily be replicated by a subset of 12edo, but it is still interesting in the same way that altered scales like melodic or hungarian minor are and quite consonant overall, as it evades the wolf fifth that is a problem in simple 5-limit diatonic scales.

<pre>
! 1-3-9-15_Stellated_Hexany.scl
!
1 3 9 15 1-3-combination Hexany
8
!
92.178
203.910
590.223
701.955
794.133
905.865
1088.268
1200
</pre>

Suggested keyboard mapping: Bb B C E F F# G A Bb. This makes the scale symmetrical around the missing D note, making it relatively intuitive to play in.

[[Category:Hexanies]]
[[Category:8-tone scales]]
[[Category:Pages with Scala files]]

1-3-9-15 stellated hexany - Revision history

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