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| == Aluminium ==
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| Aluminium is a rank-2 temperament associated with the comma, which sets a stack of 13 [[135/128]]<nowiki/>s equal to the octave. Therfore the name for the 5-limit comma is logically ''alumina''.
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| Aluminium can be extended consistently as high as the 13-limit, which is a nice coincidence.
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| Subgroup: 2.3.5
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| Comma list: [92 -39 -13]
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| Mapping: [13 13 53], [0 1 -3]
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| Mapping generators: ~135/128, ~3/2
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| Optimal tuning (CTE): ~3/2 = ...
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| Vals: 494, 1547, ...
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| == Sekaceauikuk-tritrizo equivalence continuum == | | == Sekaceauikuk-tritrizo equivalence continuum == |
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| Vals: 14, 43, 100 | | Vals: 14, 43, 100 |
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| == Leaves ==
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| Defined as the 323 & 2023 temperament in the 17-limit. Originally intended to be no-11, Eliora later included the 11th harmonic.
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| Subgroup: 2.3.5.7
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| Comma list: -21 11 10 -7, 31 28 -24 -7
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| Mapping: 17 10 31 9, 0 14 7 32
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| Mapping generators: ~25/24, ~6125/5832
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| Optimal tuning (CTE): ~6125/5832 = 85.427
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| Vals: 323, 1700, 2023
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| === 13-limit ===
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| 10 generators map to 13/11.
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| Subgroup: 2.3.5.7.13
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| Comma list: 1990656/1990625, 3502727631/3500000000, 134521003125/134296804096
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| Sval mapping: 17 10 31 9 106 98, 0 14 7 32 -39 -29
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| Sval maping generators: ~25/24, ~1024/975
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| Optimal tuning (CTE): ~1024/975 = ...
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| === 17-limit ===
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| 2 generators correspond to 17/13.
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| Subgroup:
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| Comma list:
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| Sval mapping: 17 10 31 9 106 98 107, 0 14 7 32 -39 -29 -31
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| Sval mapping generators: ~25/24, ~765/728
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| Optimal tuning (CTE): ~765/728 = 85.424
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| == Lamina == | | == Lamina == |