Hemimage family: Difference between revisions
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The '''hemimage family''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the [[hemimage comma]] ({{monzo|legend=1| 5 -7 -1 3 }}, [[ratio]]: 10976/10935). | The '''hemimage family''' of [[rank-3 temperament]]s [[tempering out|tempers out]] the [[hemimage comma]] ({{monzo|legend=1| 5 -7 -1 3 }}, [[ratio]]: 10976/10935). | ||
== Hemimage | == Hemimage == | ||
Hemimage is generated by a [[3/2|perfect fifth]] and a [[~]][[28/27]] subminor second. Two of the subminor seconds make ~[[15/14]], and three make ~[[10/9]]. The ubiquitous presence of this little interval gives rise to the highly intense [[hemimage bleeding chord]]s. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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Comma list: 352/351, 364/363, 540/539 | Comma list: 352/351, 364/363, 540/539 | ||
{{Mapping|legend=0| 1 0 -1 -2 5 10 | 0 1 2 3 -1 -4 | 0 0 3 1 1 1 }} | |||
Optimal tunings: | Optimal tunings: | ||
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Comma list: 144/143, 196/195, 729/728 | Comma list: 144/143, 196/195, 729/728 | ||
{{Mapping|legend=0| 1 0 -1 -2 5 -1 | 0 1 2 3 -1 3 | 0 0 3 1 1 -1 }} | |||
Optimal tunings: | Optimal tunings: | ||
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[[Badness]] (Sintel): 1.13 | [[Badness]] (Sintel): 1.13 | ||
[[Category:Hemimage family| ]] <!-- main article --> | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category: | [[Category:Catalogs of rank-3 temperaments]] | ||