Amity

Amity (from "acute minor third"), ​46 & ​53, is a complex 7-limit temperament splitting 8/3 into 5 supraminor thirds about 339c-340c in size. It has a tuning that is very accurate in the 7-limit (namely 99edo).

Amity is a 7-cluster temperament due to its generator being only slightly flatter than 2\7.

Interval chain

Notes:

• 243/200 is 6/5 sharpened by 81/80.
• The extension to 13 given is called Hitchcock, whose 13 mapping tends to be flat due to tempering out S13.

# gens up	13-lim. interpretation	Notes
1	128/105 ~ 243/200 ~ 39/32	tempers out 5120/5103 = S8/S9 and 4096/4095 = S64
2	40/27
3	9/5
4	35/32
5	4/3
6	13/8 ~ 21/13	S13 is tempered out
7	80/81 ~ 63/64 ~ 64/65
8	6/5
9	48/35
10	16/9
11	13/12 ~ 14/13
12	21/16
13	8/5
14	35/36
15	32/27
16	36/25 ~ 13/9
17	7/4
18	16/15
19	13/10
20	128/81
21	20/21 ~ 24/25
22	7/6
23	64/45
24	26/15
25	256/243
26	32/25
27	14/9

List of patent vals

Main article: Amity/Patent vals