User:AthiTrydhen/11-Hendrix diamond

The 11-Hendrix diamond is the tonality diamond generated from the ratios 1/1, 5/4, 11/8, 3/2 and 11/6.

	1/1	5/4	11/8	3/2	11/6
	8/5	1/1	11/10	6/5	22/15
	16/11	20/11	1/1	12/11	4/3
	4/3	5/3	11/6	1/1	11/9
	12/11	15/11	3/2	18/11	1/1

All notes in the Hendrix diamond are also found in the 15-limit tonality diamond, because 1/1:5/4:11/8:3/2:11/6 is a 15-limit anomalous saturated suspension.

Symmetry group

The symmetry group of the 11-Hendrix diamond has 16 elements. Its generators are:

• 3:2, 5:4, 11:8 → 11:6, 5:3, 11:9
• 3:2, 5:4, 11:8 → 3:2, 15:11, 18:11
• 3:2, 5:4, 11:8 → 4:3, 8:5, 16:11

Orbits and Invariant Subsets

[to be included]