Amity: Difference between revisions
From Xenharmonic Reference
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== Interval chain == | == Interval chain == | ||
(Note: 243/200 is 6/5 sharpened by 81/80) | (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) | * 1 gen = 128/105 ~ 243/200 ~ 39/32 ~ 11/9 (=> tempers out 5120/5103 = S8/S9 and 4096/4095 = S64) | ||
* 2 gens = 40/27 | * 2 gens = 40/27 | ||
* 3 gens = 9/5 | * 3 gens = 9/5 | ||
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 ~ 11/9 (=> 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
