Gamelismic and portent: Difference between revisions

Revision as of 09:55, 12 May 2025

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).

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-'''Gamelismic''' is the [[rank-3 temperament|rank-3]] [[temperament]] [[tempering out]] [[1029/1024]], the gamelisma. 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).
+'''Gamelismic''' is a [[rank-3 temperament|rank-3]] [[regular temperament|temperament]] [[generator|generated]] by a supermajor second of [[~]][[8/7]], three of them stacking to ~[[3/2]], and an independent dimension for [[prime interval|prime]] [[5/1|5]]. Thus it [[tempering out|tempers out]] [[1029/1024]], the gamelisma, in the [[7-limit]], which means it is an [[expansion]] of [[slendric]], the [[rank-2 temperament|rank-2]] [[2.3.7 subgroup|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 {{nowrap| 1029/1024 {{=}} (385/384)(441/440) }}.
 See [[Gamelismic family #Gamelismic]] and [[Gamelismic family #Portent]] for technical data.
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 == Scales ==
-* [[Portent11tri]] – 11-tone trivalence scale in 190edo tuning
+* [[Portent11tri]] – 11-tone [[trivalent scale]] in 190edo tuning
-* [[Portent26]] – 26-tone hobbit scale in 11-odd-limit minimax tuning
+* [[Portent26]] – 26-tone [[hobbit scale]] in 11-odd-limit minimax tuning
 [[Category:Portent| ]] <!-- main article -->