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]] | 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 | ||
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28/15 | 28/15 | ||
2/1 | 2/1 | ||
(However, Inthar recommends interpreting the scale in 2.3.7.13.17.23 for higher accuracy, interpreting the ~5/4 as ~64/51 and not as ~5/4.) | |||
Penslen in this temperament is represented by [[46edo]]'s 5:3:1 and [[67edo]]'s 7:4:2 tunings. | Penslen in this temperament is represented by [[46edo]]'s 5:3:1 and [[67edo]]'s 7:4:2 tunings. | ||