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2026-01-06T08:36:24Z

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[[File:3-5-7-15_Stellated_Hexany.png|thumb|Circle diagram.]] [[File:3-5-7-15_Stellated_Hexany_(rotated).png|thumb|Circle diagram. (rotated)]] A [[7-limit]] Stellated [[Hexany]]. This creates a scale of 1 35/32 7/6 75/64 5/4 175/128 35/24 25/16 105/64 5/3 7/4 15/8 2/1, with steps of 35/32 16/15 225/224 16/15 35/32 16/15 15/14 21/20 64/63 21/20 15/14 16/15. (5/4 and 35/24 each appear twice as the reduced products of 15 & 3x5 and 7x15 & 3x5x7). Due to the repeated notes, this can be mapped onto a standard keyboard. Unlike the [[3-5-7-15_hexany|base hexany]], this does not put a 3/2 above the root and so is best used in a rotated mode that has the greatest number of simple ratios. It does have 6 perfect fifths and a decent number of highly consonant chords, but it also has two comma sized steps that are well below useful size for melody, making it not particularly optimal as a 12-note scale.

<pre>
! 3-5-7-15_Stellated_Hexany.scl
!
3 5 7 15 1-3 combination Hexany
12
!
155.139
266.870
274.582
386.313
541.453
653.184
772.627
857.094
884.358
968.825
1088.268
1200
</pre>

[[Category:Hexanies]]
[[Category:12-tone scales]]
[[Category:Pages with Scala files]]

3-5-7-15 stellated hexany - Revision history

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