Quartismic family: Difference between revisions
No edit summary |
m Moving from Category:Temperament family to Category:Temperament families using Cat-a-lot |
||
Line 20: | Line 20: | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament | [[Category:Temperament families]] | ||
[[Category:Microtemperament]] | [[Category:Microtemperament]] | ||
[[Category:Quartismic]] | [[Category:Quartismic]] | ||
[[Category:Rank 4]] | [[Category:Rank 4]] |
Revision as of 17:16, 28 February 2022
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 [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.
Quartismic
The 11-limit parent comma for the quartismic family is the the quartisma with a ratio of 117440512/117406179 and a monzo of [24 -6 0 1 -5⟩. As the quartisma is an unnoticeable comma, this rank-4 temperament is a microtemperament.
Subgroup: 2.3.5.7.11
Comma list: 117440512/117406179
Mapping: [⟨1 0 0 1 5], ⟨0 1 0 1 -1], ⟨0 0 1 0 0], ⟨0 0 0 5 1]]
Wedgie: ⟨⟨⟨⟨ 5 1 0 -6 -24 ]]]]
POTE generators: ~3/2 = 701.9826, ~5/4 = 386.3427, ~33/32 = 53.3748
Badness: 0.274 × 10-6