Kleismic rank three family: Difference between revisions

Edo lists
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These are the rank three temperaments tempering out the kleisma, [[15625/15552]]. If nothing else is tempered out we have a 7-limit [[planar temperament]], with an 11-limit comma we get an 11-limit temperament, and so forth.
These are the rank three temperaments tempering out the kleisma, [[15625/15552]]. If nothing else is tempered out we have a 7-limit [[planar temperament]], with an 11-limit comma we get an 11-limit temperament, and so forth.


= Kleismic =
== Kleismic ==


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 18: Line 18:
{{Val list|legend=1| 15, 19, 34d, 49, 53, 72, 140, 212 }}
{{Val list|legend=1| 15, 19, 34d, 49, 53, 72, 140, 212 }}


= Enlil =
== Enlil ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 37: Line 37:
[[Badness]]: 0.798 × 10<sup>-3</sup>
[[Badness]]: 0.798 × 10<sup>-3</sup>


== 13-limit ==
=== 13-limit ===


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Line 58: Line 58:
Scales: [[enlil19_13]]
Scales: [[enlil19_13]]


= Enki =
== Enki ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 77: Line 77:
[[Badness]]: 1.09 × 10<sup>-3</sup>
[[Badness]]: 1.09 × 10<sup>-3</sup>


== 13-limit ==
=== 13-limit ===


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Line 96: Line 96:
Badness: 0.874 × 10<sup>-3</sup>
Badness: 0.874 × 10<sup>-3</sup>


= Isimud =
== Isimud ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 108: Line 108:
[[Badness]]: 3.690 × 10<sup>-3</sup>
[[Badness]]: 3.690 × 10<sup>-3</sup>


== 13-limit ==
=== 13-limit ===


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13