364edo

364edo is the equal division of the octave into 364 parts of 3.2963 cents each.

Theory

364edo is consistent through the 21-odd-limit, tempering out 1600000/1594323 (amity comma) and [-65 0 28⟩; (28-5-comma) in the 5-limit; 65625/65536 (horwell), 390625/388962 (dimcomp), and 420175/419904 (wizma) in the 7-limit (supporting fifthplus and oquatonic); 1375/1372, 6250/6237, 19712/19683, and 41503/41472 in the 11-limit (as well as 9801/9800); 625/624, 1716/1715, 2080/2079, 2200/2197, and 14641/14625 in the 13-limit (as well as 4096/4095, 4225/4224, and 10985/10976); 715/714, 1089/1088, 1225/1224, 1275/1274, 2025/2023, and 8624/8619 in the 17-limit (as well as 2431/2430, 4914/4913, and 5832/5831); 1216/1215, 1331/1330, 1540/1539, and 1729/1728 in the 19-limit.

Regular temperament properties

Subgroup	Comma list	Mapping	Optimal 8ve stretch (¢)	Tuning error
				Absolute (¢)	Relative (%)
2.3	[577 -364⟩	[⟨364 577]]	-0.0766	0.0766	2.32
2.3.5	1600000/1594323, [-65 0 28⟩	[⟨364 577 845]]	+0.0350	0.1698	5.15
2.3.5.7	65625/65536, 390625/388962, 420125/419904	[⟨364 577 845 1022]]	-0.0098	0.1662	5.04
2.3.5.7.11	1375/1372, 6250/6237, 19712/19683, 41503/41472	[⟨364 577 845 1022 1259]]	+0.0366	0.1753	5.32
2.3.5.7.11.13	625/624, 1375/1372, 2080/2079, 2200/2197, 14641/14625	[⟨364 577 845 1022 1259 1347]]	+0.0245	0.1622	4.92
2.3.5.7.11.13.17	625/624, 715/714, 1089/1088, 1225/1224, 2025/2023, 2200/2197	[⟨364 577 845 1022 1259 1347 1488]]	+0.0022	0.1599	4.85
2.3.5.7.11.13.17.19	625/624, 715/714, 1089/1088, 1216/1215, 1225/1224, 1331/1330, 1729/1728	[⟨364 577 845 1022 1259 1347 1488 1546]]	+0.0257	0.1620	4.91

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per octave	Generator (reduced)	Cents (reduced)	Associated ratio	Temperaments
1	103\364	339.56	243/200	Amity / paramity
1	125\364	412.09	80/63	Witch
1	149\364	491.21	3645/2744	Fifthplus
1	151\364	497.80	4/3	Gary
2	57\364	187.91	49/44	Semiwitch
28	151\364 (5\364)	497.80 (16.48)	4/3 (105/104)	Oquatonic