Cartoonismic temperaments

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

This family tempers out the cartoonisma, 165288374272/164794921875 with monzo [12 -3 -14 9⟩.

Temperaments discussed elsewhere include:

• Deca, {165288374272/164794921875, [11 -10 -10 10⟩} → Ragismic microtemperaments

Hydrogen

Hydrogen is described as the 111 & 1111 temperament, using only the number 1, which is the atomic number of hydrogen.

Subgroup: 2.3.5.7

Comma list: 165288374272/164794921875, 206244329553920/205891132094649

Mapping: [⟨1 1 0 -1], ⟨0 65 258 423]]

Mapping generators: ~2/1 = 1\1, 1605632/1594323 = 10.800

Optimal tuning (CTE): 1605632/1594323 = 10.800

Optimal ET sequence: 111, 1000, 1111

11-limit

Subgroup: 2.3.5.7.11

Comma list: 3025/3024, 422576/421875, 83886080000000/83881572334857

Mapping: [⟨1 1 0 -1 3], ⟨0 65 258 423 51]]

Mapping generators: ~2/1 = 1\1, 32000000/31827411 = 10.801

Optimal tuning (CTE): 32000000/31827411 = 10.801

Optimal ET sequence: 111, 1000, 1111

Deuterium

Subgroup: 2.3.5.7.11

Comma list: 200704/200475, 104162436/103984375, 246071287/246037500

Mapping: [⟨1 1 0 -1 4], ⟨0 65 258 423 -60]]

Mapping generators: ~2/1 = 1\1, 2200/2187 = 10.801

Optimal tuning (CTE): 2200/2187 = 10.801

Optimal ET sequence: 111, 1000e, 1111e