Amity
From Xenharmonic Reference
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
