Penslen: Difference between revisions
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In [[aberrismic theory]], '''penslen''' (from ''pentawood'' and ''slendric''; in aberrismic systematic nomenclature '''slen5m''') is the 16-note ternary scale step pattern LmsLmsLsmLsmLsms with [[step signature]] 5L5m6s. It is the only [[diregular]] scale with this step signature (since the diregular scale with a given step signature is always unique if it exists). | In [[aberrismic theory]], '''penslen''' (from ''pentawood'' and ''slendric''; in aberrismic systematic nomenclature '''slen5m''') is the 16-note ternary scale step pattern LmsLmsLsmLsmLsms with [[step signature]] 5L5m6s. It is the only [[diregular]] scale with this step signature (since the diregular scale with a given step signature is always unique if it exists). | ||
Penslen is comprised of two 8-note generator arcs. Each generator is a 3-step supermajor second (L + m + s), interpreted as 8/7, and the offset | Penslen is comprised of two 8-note generator arcs. Each generator is a 3-step supermajor second (L + m + s), interpreted as 8/7, and the offset is an 8-step interval. The fifth is 9 steps and is a stack of three 8/7 generators. When you temper out [[1029/1024]], this fifth is interpreted as [[3/2]]. | ||
A 7-limit JI detempering of penslen is: | == Interpretations == | ||
=== 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]]. | |||
A 7-limit JI detempering of Portent penslen is: | |||
36/35 | 36/35 | ||
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64/35 | 64/35 | ||
2/1 | 2/1 | ||
The prime interpretations are: | The prime interpretations are: | ||