Penslen: Difference between revisions

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== Interpretations ==
== Interpretations ==
=== Portent ===
=== Portent ===
[[Portent]] is the temperament 11-lim[1029/1024, 385/384], and interprets the 8-step interval as an [[Interseptimal interval|ultrafourth]] [[48/35]] or [[11/8]].  
[[Portent]] is the temperament 11-lim[1029/1024, 385/384], and interprets the 8-step interval as an [[Interseptimal interval|ultrafourth]] [[48/35]] or [[11/8]]. This is the interpretation originally found by groundfault.


A 7-limit JI detempering of Portent penslen is:
A 7-limit JI detempering of Portent penslen (the mode msLsmLsmLsmsLmsL) is:


  36/35
  36/35
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* 11/8 is 8 scale steps
* 11/8 is 8 scale steps


Example edo tunings are [[46edo]]'s 6:2:1 and [[72edo]]'s 9:3:2 tunings.
Example edo tunings are:
* [[41edo]], 5:2:1
* [[46edo]], 6:2:1
* [[72edo]], 9:3:2
* [[87edo]], 11:4:2
* [[159edo]], 20:7:4


=== 2.3.5.7.13.17.23[46&67] ===
=== 2.3.5.7.13.17.23[46&67] ===
In this temperament, the 8-step offset is ~23/16 tempered together with 10/7 by tempering out 161/160.
In this temperament, the 8-step offset is ~23/16 tempered together with 10/7 by tempering out 161/160.


A 7-limit JI detempering of this penslen is:
A 7-limit JI detempering of this penslen (the mode msLmsLsmLsmLsmsL) is:
  21/20
  21/20
  16/15
  16/15