Gamelismic and portent
Gamelismic is a rank-3 temperament generated by a supermajor second of ~8/7, three of them stacking to ~3/2, and an independent dimension for prime 5. Thus it tempers out 1029/1024, the gamelisma, in the 7-limit, which means it is an expansion of slendric, the rank-2 2.3.7-subgroup temperament that tempers out the same comma. It has an obvious extension to the 11-limit tempering out 385/384 and 441/440, called portent, as 1029/1024 = (385/384)(441/440).
See Gamelismic family #Gamelismic and Gamelismic family #Portent for technical data.
Interval lattice
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11-limit portent
Chords
Portent enables essentially tempered chords of gamelismic, keenanismic, and werckismic.
Scales
- Portent11tri – 11-tone trivalent scale in 190edo tuning
- Portent26 – 26-tone hobbit scale in 11-odd-limit minimax tuning
Tunings
| Euclidean | |||
|---|---|---|---|
| Constrained | Constrained & skewed | Destretched | |
| Tenney | CTE: ~8/7 = 233.8889 ¢, ~5/4 = 385.3137 ¢ | CWE: ~8/7 = 233.7474 ¢, ~5/4 = 385.5205 ¢ | POTE: ~8/7 = 233.6875 ¢, ~5/4 = 385.1853 ¢ |
| Euclidean | |||
|---|---|---|---|
| Constrained | Constrained & skewed | Destretched | |
| Tenney | CTE: ~8/7 = 233.9922 ¢, ~5/4 = 385.7972 ¢ | CWE: ~8/7 = 233.7616 ¢, ~5/4 = 385.3149 ¢ | POTE: ~8/7 = 233.6884 ¢, ~5/4 = 385.1618 ¢ |