Frameshift clan

These are rank-2 temperaments that temper out the frameshift comma, 22876792454961/22866405883904 = [-34 28 0 0 -3⟩.

Temperaments discussed elsewhere include:

• Guiron, {385/384, 441/440, 10976/10935} → Gamelismic clan
• Quarterframe, {3025/3024, 26214400/26198073, 29296875/29218112} → The Quartercache
• Tritricot, {4000/3993, 166698/166375, 200704/200475} → Tricot family

Auric

This temperament has a single step of 159edo as a period, with the generator for the 7-prime being independent

Subgroup: 2.3.5.7.11

Comma list: 4000/3993, 15625/15552, 32805/32768

Mapping: [⟨159 252 369 446 550], ⟨0 0 0 1 0]]

POTE generator: 1\159, ~768/767 = 2.2565

Badness:

400 & 159

Subgroup: 2.3.5.7.11

Comma list: 200704/200475, 160083/160000, 166698/166375

Mapping: [⟨1 4 47 66 26], ⟨0 -6 -111 -157 -56]]

POTE generator: ~2707/2048 = 483.0025

Badness:

Brief

This temperament's name comes from the fact that it tempers out both the Breedsma and the reef comma.

Subgroup: 2.3.5.7.11

Comma list: 2401/2400, 131072/130977, 200704/200475

Mapping:

Wedgie: ⟨⟨  ]]

POTE generator:

Badness:

118 & 400

Subgroup: 2.3.5.7.11

Comma list: 5632/5625, 9801/9800, 200704/200475

Mapping: [⟨2 5 8 23 24], ⟨0 -6 -11 -57 -56]]

POTE generator: ~11585/8192 = 600, ~329/296 = 183.0023

Badness: