User:VIxen/Cemetery
Spog
This temperament produces superpelog-like semiquartal scales while being more accurate (see rational approximations to their intervals).
Subgroup: 2.15.55
Comma list: 100663296/100656875
Subgroup-val mapping: [⟨1 0 5], ⟨0 5 1]]
Optimal tuning (subgroup CTE): ~55/32 = 937.655
Optimal ET sequence: 5, 9, 23, 32, 151, 183, 215, 247, 956, 1203, 1450, 3147, 4597
2.15.55.325
Subgroup: 2.15.55.325
Comma list: 4225/4224, 6656/6655
Subgroup-val mapping: [⟨1 0 5 6], ⟨0 5 1 3]]
Optimal tuning (subgroup CTE): ~55/32 = 937.647
Supporting ETs: 5, 9, 13[-15], 14, 23, 32, 37, 41, 50, 55, 64, 73, 78, 87, 96, 101, 105, 119, 128, 151, 183, 206, 311
2.15.189.55.325
Related temperament: lux
Subgroup: 2.15.189.55.325
Comma list: 2080/2079, 3025/3024, 4096/4095
Subgroup-val mapping: [⟨1 0 6 5 6], ⟨0 5 2 1 3]]
Optimal tuning (subgroup CTE): ~55/32 = 937.677
Supporting ETs: 5, 9, 14, 23, 32, 37, 41, 50, 55, 64, 73, 78, 87, 96, 101, 105, 119, 128, 151, 183, 206, 311
2.15.189.55.325.725
Subgroup: 2.15.189.55.325.725
Comma list: 1625/1624, 2080/2079, 3025/3024, 4096/4095
Subgroup-val mapping: [⟨1 0 6 5 6 -3], ⟨0 5 2 1 3 16]]
Optimal tuning (subgroup CTE): ~55/32 = 937.649
Supporting ETs: 9[-725], 14[+725], 23, 32, 41[-725], 55, 73[-725], 87, 105[-725], 119, 142[+725], 151, 183, 206[+725], 311
2.15.189.55.325.725.279
Here are rational approximations to the intervals of the semiquartal scale.
Sharp: 12/11, 25/21, 33/26, 18/13, 31/21 ~ 65/44 ~ 96/65, 50/31 ~ 29/18, 55/32, 15/8.
Flat: 16/15, 64/55, 31/25 ~ 36/29, 42/31 ~ 65/48 ~ 88/65, 13/9, 52/33, 42/25, 11/6.
Subgroup: 2.15.189.55.325.725.279
Comma list: 1625/1624, 2016/2015, 2080/2079, 3025/3024, 4096/4095
Subgroup-val mapping: [⟨1 0 6 5 6 -3 5], ⟨0 5 2 1 3 16 4]]
Optimal tuning (subgroup CTE): ~55/32 = 937.638
Supporting ETs: 9[-725], 14[+725], 23, 32, 41[-725], 55, 73[-725], 87, 105[-725], 119, 151, 183, 206[+725], 311