Syntonic–kleismic equivalence continuum: Difference between revisions
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{{Technical data page}} | |||
The '''syntonic–kleismic equivalence continuum''' (or '''syntonic–enneadecal equivalence continuum''') is a [[equivalence continuum|continuum]] of 5-limit temperaments which equate a number of [[81/80|syntonic commas (81/80)]] with the 19-comma ({{monzo| -30 19 }}). | The '''syntonic–kleismic equivalence continuum''' (or '''syntonic–enneadecal equivalence continuum''') is a [[equivalence continuum|continuum]] of 5-limit temperaments which equate a number of [[81/80|syntonic commas (81/80)]] with the 19-comma ({{monzo| -30 19 }}). | ||
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| [[Mowgli]] || 15/2 = 7.5 || {{monzo| 0 22 -15 }} | | [[Mowgli]] || 15/2 = 7.5 || {{monzo| 0 22 -15 }} | ||
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== Negri (5-limit) == | |||
: ''For extensions, see [[Semaphoresmic clan #Negri]].'' | |||
The 5-limit version of negri tempers out the [[negri comma]], spliting a perfect fourth into four ~16/15 generators. It corresponds to {{nowrap| ''n'' {{=}} 4 }}. The only 7-limit extension that make any sense to use is to map the hemifourth to 7/6~8/7. | |||
[[Subgroup]]: 2.3.5 | |||
[[Comma list]]: 16875/16384 | |||
{{Mapping|legend=1| 1 2 2 | 0 -4 3 }} | |||
: mapping generators: ~2, ~16/15 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1202.3403{{c}}, ~16/15 = 126.0002{{c}} | |||
: [[error map]]: {{val| +2.340 -1.275 -3.633 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 125.6610{{c}} | |||
: error map: {{val| 0.000 -4.599 -9.331 }} | |||
{{Optimal ET sequence|legend=1| 9, 10, 19, 67c, 86c, 105c }} | |||
[[Badness]] (Sintel): 2.04 | |||
== Lalasepyo (8c & 11) == | == Lalasepyo (8c & 11) == | ||