Heartland: Difference between revisions
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The '''heartland''' is the name given to the collection of temperaments that are children of or related to the '''heartland temperament''', the 2.3.7.11.19 subgroup temperament tempering out both [[243/242]] and [[1083/1078]], and its full 19-limit extension, heartsphere. The term "heartland" loosely means "interior part." | The '''heartland''' is the name given to the collection of temperaments that are children of or related to the '''heartland temperament''', the 2.3.7.11.19 subgroup temperament tempering out both [[243/242]] and [[1083/1078]], and its full 19-limit extension, heartsphere. The term "heartland" loosely means "interior part." | ||
For extending the heartland temperament to the 2.3.5.7.11.19 subgroup, it is natural to temper out 361/360, 441/440 or 540/539, which makes a weak extension of the [[Breed family|jove temperament]]. For extending to the 2.3.5.7.11.13.19 subgroup, tempering out 364/363 gives an excellent tuning. | |||
== Temperament data == | == Temperament data == | ||
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[[Comma list]]: 243/242, 1083/1078 | [[Comma list]]: 243/242, 1083/1078 | ||
[[Mapping]]: | [[Mapping]]: [⟨1 1 0 0 2 0 0 1], ⟨0 4 0 0 10 0 0 3], ⟨0 0 1 0 0 0 0 0], ⟨0 0 0 1 0 0 0 1], ⟨0 0 0 0 0 1 0 0], ⟨0 0 0 0 0 0 1 0]] | ||
[[Optimal tuning]] (POTE): ~2 = 1＼1, ~21/19 = 175.2713, ~5/4 = 386.0840, ~7/4 = 969.3784, ~13/8 = 840.1616, ~17/16 = 104.5510 | [[Optimal tuning]] (POTE): ~2 = 1＼1, ~21/19 = 175.2713, ~5/4 = 386.0840, ~7/4 = 969.3784, ~13/8 = 840.1616, ~17/16 = 104.5510 | ||
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== See also == | == See also == | ||
* [[Rastmic clan]] | * [[Rastmic clan]] | ||
* [[Rastmic rank | * [[Rastmic rank-3 clan]] | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||