User:Unque/Redeye scale

The Redeye scale is a ternary scale proposed by Michael, Wad Wizard, and Unque. The scale is defined by the 14-note sequence sLmLsLmLsLmLsL; it has 7 large steps, 3 medium steps, and 4 small steps.

Name

The name "Redeye" comes from a portmanteau of "Red" and "Di-," from the names of the Redwood and Dicot temperaments, due to its extrema being generated by those two temperaments. This naming scheme was originally chosen by comparison to another ternary scale, Blackdye.

Scale Properties

The following Binary scales can be made by collapsing the Redeye scale:

• 10L4s (m = L)
  • Note: Not MV2, and thus not a MOS scale

• 7L7s (m = s)
• 7L3s (s = 0c)

Modes of Redeye

Pattern	Brightness Quotient	Rotational Order
sLmLsLmLsLmLsL	4	1
LmLsLmLsLmLsLs	13	2
mLsLmLsLmLsLsL	7	3
LsLmLsLmLsLsLm	10	4
sLmLsLmLsLsLmL	3	5
LmLsLmLsLsLmLs	12	6
mLsLmLsLsLmLsL	6	7
LsLmLsLsLmLsLm	9	8
sLmLsLsLmLsLmL	2	9
LmLsLsLmLsLmLs	14	10
mLsLsLmLsLmLsL	5	11
LsLsLmLsLmLsLm	8	12
sLsLmLsLmLsLmL	1	13
LsLmLsLmLsLmLs	11	14

Sample Tuning Ranges

L	m	s	Hardness	Notes
1\14	1\14	1\14	1:1:1	Collapsed: L=s
2\24	2\24	1\24	2:2:1	Collapsed: L=m
4\45	3\45	2\45	4:3:2
4\41	3\41	1\41	4:3:1
2\21	1\21	1\21	2:1:1	Collapsed: m=s
3\31	2\31	1\31	3:2:1	Basic
4\38	2\38	1\38	4:2:1
2\17	1\17	0	2:1:0	Collapsed: s=0c

Note that this is not a comprehensive list of all tunings that support the Redeye scale.