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2026-01-25T11:13:07Z

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[[File:1-3-5-7_by_80-63_bihexany.png|thumb|Circle diagram.]] [[File:1-3-5-7_by_80-63_bihexany_(rotated).png|thumb|Circle diagram. (rotated)]] The [[1-3-5-7 hexany|simplest possible]] [[Hexany]], offset by a gentle major third. This creates a scale of 1 200/189 10/9 7/6 5/4 80/63 35/24 40/27 100/63 5/3 7/4 50/27 2/1, with steps of 200/189 21/20 21/20 15/14 64/63 147/128 64/63 15/14 21/20 21/20 200/189 27/25. This does not have a 3/2 above the root, but does have 5 other perfect fifths, all mapped to 7 steps above their roots, including three in a chain which form a I IV V chord sequence in the correct mode, although the thirds are not what you would expect and there is a melodically strange large step bookended by two comma steps in the middle of the scale. Even with those oddities, this still looks like one of the easier combination product sets to compose recognisable songs in.

<pre>
! 1-3-5-7_by_80/63_Bihexany.scl
!
1 3 5 7 by 80/63 2-combination bihexany
12
!
97.936
182.403
266.871
386.313
413.577
653.184
680.488
799.891
884.358
968.825
1066.762
1200
</pre>

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

1-3-5-7 by 80/63 bihexany - Revision history

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