The Quartercache: Difference between revisions
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Optimal GPV sequence: {{val list| 832, 1619 }} | Optimal GPV sequence: {{val list| 832, 1619 }} | ||
== Prequartismic == | |||
Named because 3125edo was the only one confirmed for tempering out the quartisma before it's discovery as significance of the difference between 5 33/32s and 7/6. Defined upon the 33/32 (or 64/33) generator in 3125edo, in terms of patent vals it can be described as 3125 & 4991 or 3125 & 1866. | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: {{monzo|24, -6, 0, 1, -5}}, {{monzo|-1, 4, 11, -11, 0}}, {{monzo|-19 -25 14 13 -3}} | |||
[[Mapping]]: [{{val|1 1389 890 1395 -1383}}, {{val|0 -1452 -929 -1457 1451}}] | |||
[[Optimal tuning]] ([[CTE]]): ~64/33 = 1146.624 | |||
Vals: {{EDOs|1259e, 1866, 3125, 4384e, 4991, 6250e, 8116d, 7509ee, 9375e, 11241de}} | |||
=== 13-limit === | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Comma list]]: 1990656/1990625, 14236560/14235529, 117440512/117406179, 1181640625/1181599328 | |||
[[Mapping]]: [{{val|1 1389 890 1395 -1383 -282}}, {{val|0 -1452 -929 -1457 1451 299 }}] | |||
[[Optimal tuning]] (CTE): ~64/33 = 1146.624 | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||