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| The '''quartismic family''' is a family of rank-4 temperaments tempers out the [[quartisma]]- the unnoticeable comma with the ratio 117440512/117406179, and a monzo of {{monzo|24 -6 0 1 -5}}, however, most of the members of this rank-4 family currently have yet to be explored. For other families that are defined by the tempering of this comma, see [[the Quartercache]].
| | #redirect [[Catalog of rank-4 temperaments #Quartismic (117440512/117406179)]] |
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| == Quartismic ==
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| The 11-limit parent comma for the quartismic family is the the quartisma with a ratio of 117440512/117406179 and a monzo of {{monzo| 24 -6 0 1 -5 }}. As the quartisma is an unnoticeable comma, this rank-4 temperament is a [[microtemperament]].
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| Subgroup: 2.3.5.7.11
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| [[Comma list]]: 117440512/117406179
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| [[Mapping]]: [{{val| 1 0 0 1 5 }}, {{val| 0 1 0 1 -1 }}, {{val| 0 0 1 0 0 }}, {{val| 0 0 0 5 1 }}]
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| {{Multival|legend=1|rank=4| 5 1 0 -6 -24 }}
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| [[POTE generator]]s: ~3/2 = 701.9826, ~5/4 = 386.3427, ~33/32 = 53.3748
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| {{Val list|legend=1| 21, 22, 43, 46, 65d, 68, 89, 111, 159, 202, 224, 270, 494, 742, 764, 966, 1236, 1506, 2159, 2653, 3125, 3395, 7060, 7554, 10949e, 14614e, 15850ee, 22168bdee, 23404bcdee, 26799bcdeee, 34353bcdeeee }}
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| [[Badness]]: 0.274 × 10<sup>-6</sup>
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| [[Category:Temperament families]]
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| [[Category:Microtemperaments]]
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| [[Category:Quartismic]]
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| [[Category:Rank 4]]
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