Gamelismic and portent: Difference between revisions

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| Odd limit 2 = 11-limit 21 | Mistuning 2 = 2.81 | Complexity 2 = ?

}}

'''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) }}.

'''Gamelismic''' is a [[rank-3 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.

@@ Line 11: / Line 11: @@
 | Odd limit 2 = 11-limit 21 | Mistuning 2 = 2.81 | Complexity 2 = ?
 }}
-'''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) }}.
+'''Gamelismic''' is a [[rank-3 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.