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

Sval 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

Sval 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

Sval 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

Sval 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

Sval 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

Poggers

Related temperaments: pogo, supers

Subgroup: 2.9.7.15/11.13

Comma list: 540/539, 1716/1715, 2080/2079

Sval mapping: [⟨1 1 1 -1 -1], ⟨0 6 5 4 13]]

Optimal tuning (subgroup CTE): ~9/7 = 433.888

Supporting ETs: 8[+9, +7, +13], 11, 14[-13], 19[+9, +7, ++13], 25[-13], 36, 47, 58, 61[-13], 69[+13], 80[+13], 83, 91[+9, +7, +13], 105