Mystery

Mystery is the regular temperament which takes 1\29 period and adds a single generator to correct the harmonic 5, 7, 11, and 13 to almost just versions. It tempers out the 29-comma in the 5-limit, 5120/5103 in the 7-limit, 441/440, 896/891, 3388/3375, and 4000/3993 in the 11-limit, 196/195, 352/351, 364/363, 676/675, and 847/845 in the 13-limit.

See Hemifamity temperaments #Mystery for more technical details.

Interval chain

Period	Generator 0		Generator 1
	Cents	Approx. Ratios	Cents	Approx. Ratios
0	0.00	1/1	15.94	91/90, 100/99, 105/104, 121/120
1	41.38	40/39, 45/44, 50/49	57.32	28/27, 33/32
2	82.76	21/20	98.70	35/33
3	124.14	14/13, 15/14	140.08	13/12
4	165.52	11/10	181.46	10/9
5	206.90	9/8	222.84	25/22
6	248.28	15/13	264.22	7/6
7	289.66	13/11, 32/27, 33/28	305.60	25/21
8	331.03	40/33	346.97	11/9, 39/32
9	372.41	26/21	388.35	5/4
10	413.79	14/11, 33/26, 80/63	429.73
11	455.17	13/10	471.11	21/16
12	496.55	4/3	512.49	35/26, 75/56
13	537.93	15/11	553.87	11/8
14	579.31	7/5	595.25	45/32
15	620.69	10/7	636.63	13/9
16	662.07	22/15	678.01	40/27
17	703.45	3/2	719.39	50/33
18	744.83	20/13	760.77	14/9
19	786.21	11/7, 52/33, 63/40	802.15	35/22
20	827.59	21/13	843.53	13/8, 44/27
21	868.97	33/20	884.91	5/3
22	910.34	22/13, 27/16, 56/33	926.29
23	951.72	26/15	967.66	7/4
24	993.10	16/9	1009.04	25/14, 70/39
25	1034.48	20/11	1050.42	11/6
26	1075.86	13/7, 28/15	1090.80	15/8
27	1117.24	40/21	1133.18	25/13, 52/27
28	1158.62	39/20, 49/25, 88/45	1174.56	63/32, 65/33, 77/39, 160/81
29	1200.00	2/1

* in 13-limit POTE tuning