Penslen

In aberrismic theory, penslen (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.

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 can be interpreted as an ultrafourth 48/35 or 11/8. 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.

Interpretations

Portent

Portent is the temperament 11-lim[1029/1024, 385/384], and equates the 8-step interval interpreted as 48/35 to 11/8.

The prime interpretations are:

• 3/2 is 9 steps
• 5/4 is 4 steps
• 7/4 is 13 steps
• 11/8 is 8 steps

Example edo tunings are 46edo's 6:2:1 and 72edo's 9:3:2 tunings.