Gunn

Gunn

Subgroups	2.3.5.7.11.13.17.19
Comma basis	729/728, 273/272, 153/152, 364/363, 1729/1728
Reduced mapping	⟨24; 0 0 1 0 0 0 0 0; 0 0 0 1 0 -1 0 0]
ET join	24c & 24 & 72
Generators (CWE)	~33/32 = 50.000 ¢, ~5/4 = 384.84 ¢, ~7/4 = 965.14 ¢
MOS scales	n/a
Ploidacot	n/a
Minimax error	-odd-limit:  ¢
Target scale size	-odd-limit: notes

Gunn temperament is a rank-3 temperament in the Compton family that tempers out 729/728, 273/272, 153/152, 364/363, and 1729/1728. This temperament is notable for acting as a high-limit map for 24edo or 72edo that maps out many interesting 19-limit commas such as the Semitonisma and Sylvisma. Furthermore, this temperament tempers out the Rastma, so it can be thought of as a very high-limit intersection of Compton and Rastmic.

Technical temperament data

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 729/728, 273/272, 153/152, 364/363, 1729/1728

Mapping: [⟨24 38 48 48 83 108 98 102], ⟨0 0 1 0 0 0 0 0], ⟨0 0 0 1 0 -1 0 0]]

Optimal tunings:

• WE: ~33/32 = 50.030 ¢, ~5/4 = 384.859 ¢, ~7/4 = 965.679 ¢

error map: ⟨+0.724 -0.809 -0.007 -1.700 +1.185 -2.949 -2.000 +5.563]

• CWE: ~33/32 = 50.000 ¢, ~5/4 = 384.837 ¢, ~7/4 = 965.136 ¢

error map: ⟨-0.000 -1.955 -1.476 -3.690 -1.318 -5.663 -4.955 2.487]

Optimal ET sequence: 24p, 72, 48f, 24c, 24df, 48cf, 48d, 96d, 48cd, 24cdf

Badness (Sintel): 3.285