Yourmusic Productions: Create Page.

2025-10-21T17:56:58Z

Create Page.

New page

[[File:1-3-7-15_by_6-5_Bihexany.png|thumb|Circle diagram.]] The third and final [[15-odd-limit]] [[bihexany]] derived from the [[1-3-7-15_hexany]] that has both a full 12 notes and a 3/2 above the root note. This creates a scale of 1 21/20 35/32 9/8 7/6 6/5 5/4 21/16 7/5 3/2 7/4 15/8 2/1, with steps of 21/20 25/24 36/35 28/27 36/35 25/24 21/20 16/15 15/14 7/6 15/14 16/15. This is the most lopsided of the three, with a ratio of nearly 5.5:1 between the largest and smallest steps and 7 intervals that are smaller than 100 cents, so while it does still have 6 notes with perfect fifths above them and many consonant chords, it also has the greatest potential for dissonance by using cluster chords and the greatest potential for confusion when playing on a standard keyboard due to the intervals not being on the expected keys thanks to the compression. (for example, an 8:9:10:12:14 chord is C Eb Gb A Bb.)
<pre>
! 1-3-7-15_by_6/5_Bihexany.scl
!
1 3 7 15 by 6/5 2-combination Bihexany
12
!
84.467
155.139
203.910
266.870
315.641
386.313
470.780
582.512
701.955
968.825
1088.268
1200
</pre>

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

1-3-7-15 by 6/5 bihexany - Revision history

Yourmusic Productions: Create Page.