Amity: Difference between revisions
From Xenharmonic Reference
Created page with "'''Amity''' (46 & 53) is a complex 7-limit temperament splitting 8/3 into 5 supraminor thirds about 339c-340c in size. Its 11 and 13 mappings tend to be flat due to tempering out S11 and S13. == Interval chain == (Note: 243/200 is 6/5 sharpened by 81/80) * 1 gen = 128/105 ~ 243/200 ~ 39/32 (=> tempers out 5120/5103 = S8/S9 and 4096/4095 = S64) * 2 gens = 40/27 * 3 gens = 9/5 * 4 gens = 35/32 ~ 12/11 ~ 11/10 * 5 gens = '''4/3''' * 6 gens = '''13/8''' ~ 21/13 (=> S13 is t..." |
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* 13 gens = '''8/5''' | * 13 gens = '''8/5''' | ||
* 14 gens = 2/1-complement of 36/35 ~ 33/32 | * 14 gens = 2/1-complement of 36/35 ~ 33/32 | ||
* 15 gens = 32/27 | * 15 gens = 32/27 ~ 13/11 | ||
* 16 gens = 36/25 ~ 13/9 | * 16 gens = 36/25 ~ 13/9 | ||
* 17 gens = '''7/4''' | * 17 gens = '''7/4''' | ||
Revision as of 04:40, 22 March 2026
Amity (46 & 53) is a complex 7-limit temperament splitting 8/3 into 5 supraminor thirds about 339c-340c in size. Its 11 and 13 mappings tend to be flat due to tempering out S11 and S13.
Interval chain
(Note: 243/200 is 6/5 sharpened by 81/80)
- 1 gen = 128/105 ~ 243/200 ~ 39/32 (=> tempers out 5120/5103 = S8/S9 and 4096/4095 = S64)
- 2 gens = 40/27
- 3 gens = 9/5
- 4 gens = 35/32 ~ 12/11 ~ 11/10
- 5 gens = 4/3
- 6 gens = 13/8 ~ 21/13 (=> S13 is tempered out)
- 7 gens = 2/1 complement of 81/80 ~ 64/63 ~ 65/64
- 8 gens = 6/5
- 9 gens = 16/11 ~ 22/15 (=> S11 is tempered out)
- 10 gens = 16/9
- 11 gens = 13/12 ~ 14/13
- 12 gens = 21/16
- 13 gens = 8/5
- 14 gens = 2/1-complement of 36/35 ~ 33/32
- 15 gens = 32/27 ~ 13/11
- 16 gens = 36/25 ~ 13/9
- 17 gens = 7/4
- 18 gens = 16/15
- 19 gens = 13/10
- 20 gens = 128/81
