Oneirotonic

Rank-2 temperaments

Sortable table of intervals in the Dylathian mode and their A-Team interpretations:

Degree	Size in 13edo	Size in 18edo	Size in 31edo	Note name on L	Approximate ratios^[1]	#Gens up
1	0\13, 0.00	0\18, 0.00	0\31, 0.00	L	1/1	0
2	2\13, 184.62	3\18, 200.00	5\31, 193.55	M	9/8, 10/9	+3
3	4\13, 369.23	6\18, 400.00	10\31, 387.10	N	5/4	+6
4	5\13, 461.54	7\18, 466.67	12\31, 464.52	O	21/16, 13/10	+1
5	7\13, 646.15	10\18, 666.66	17\31, 658.06	P	13/9, 16/11	+4
6	9\13, 830.77	13\18, 866.66	22\31, 851.61	Q	13/8, 18/11	+7
7	10\13, 923.08	14\18, 933.33	24\31, 929.03	J	12/7	+2
8	12\13, 1107.69	17\18, 1133.33	29\31, 1122.58	K		+5

↑ The harmonics over 1/1 are in bold. The ratio interpretations that are not valid for 18edo are italicized.

Sortable table of intervals in the Dylathian mode and their Petrtri interpretations:

Degree	Size in 13edo	Size in 21edo	Size in 34edo	Size in POTE tuning	Note name on L	Approximate ratios	#Gens up
1	0\13, 0.00	0\21, 0.00	0\34, 0.00	0.00	L	1/1	0
2	2\13, 184.62	3\21, 171.43	5\34, 176.47	177.45	M	10/9, 11/10	+3
3	4\13, 369.23	6\21, 342.86	10\34, 352.94	354.90	N	11/9, 16/13	+6
4	5\13, 461.54	8\21, 457.14	13\34, 458.82	459.15	O	13/10, 17/13, 22/17	+1
5	7\13, 646.15	11\21, 628.57	18\34, 635.294	636.60	P	13/9, 16/11	+4
6	9\13, 830.77	14\21, 800.00	23\34, 811.77	814.05	Q	8/5	+7
7	10\13, 923.08	16\21, 914.29	26\34, 917.65	918.30	J	17/10	+2
8	12\13, 1107.69	19\21, 1085.71	31\34, 1094.12	1095.75	K	17/9, 32/17	+5

‎(A rather classical-sounding 3-part harmonization of the ascending J Ilarnekian scale; tuning is 13edo)

(13edo, first 30 seconds is in J Celephaïsian)

(13edo, L Ilarnekian)

(by Igliashon Jones, 13edo, J Celephaïsian)