1-3-5-9 hexany

The second simplest possible Hexany, comprised of two-combination sum products of the first four 5-limit odd numbers. This creates a scale of 1 9/8 5/4 3/2 5/3 15/8 2/1, with steps of 9/8 10/9 6/5 10/9 9/8 16/15. This is particularly notable because it maps unambiguously to 6 out of 7 notes of the standard diatonic scale, giving you justly tuned C, Em, G & Am chords, although the D has a wolf fifth above it and no third available. This makes it a solid base for building dekanies, as adding a single other number will give you a 10 note scale that can contrast familiar and xenharmonic chords in a compositionally effective way in many cases.

! 1-3-5-9_Hexany.scl
!
1 3 5 9 2-combination Hexany
6
!
9/8
5/4
3/2
5/3
15/8
2/1

Suggested keyboard mapping: Start on C, using all white notes except the F.

Music

Phexioenesystems

• Conversant/Expansive

Sevish

• Murmurations (1st and 6th parts)