Porcusmine

Porcusmine is a max-variety-3, generator-offset scale with step pattern 4L 3M 1s. It is equivalent to the porcupine (7L 1s) mos with 4 of the large steps made bigger and the other 3 made smaller, or to the smitonic (4L 3s) with an extra-small step added. Porcusmine is not chiral. 19edo is the smallest edo to support a non-degenerate porcusmine.

Porcusmine can be tuned as a 5-limit JI scale or a tempered version thereof, where L represents 10/9, M represents 27/25, and s represents 25/24.

"Porcusmine" is a name given by cellularAutomaton, who discovered it as a detempering of porcupine, although the scale has also been discussed by Kite Giedraitis and possibly others. The name is a portmanteau of "porcupine" and "smitonic", since its step sizes are intermediate between those of the 8-note porcupine and 7-note smitonic mosses.

Modes

Porcusmine has 8 modes. Names are provided based on porcupine (tuning-neutral) and smitonic (for tunings where s is small), as well as a unique portmanteau name. When M and s are close, the scale approaches diminshed (4L 4s), which has two distinct modes and is therefore not useful for naming. The porcupine mode names refer to William Lynch's names, and the smitonic mode names refer to Alexandru Ianu's names. Below are the modes arranged in cyclic order:

Modes in cyclic order
LMLMLMLs Porcusmine Octopus Porcusmine Sothic Ascending Octzothic
MLMLMLsL Porcusmine Mantis Porcusmine Dagothic Mandagothic
LMLMLsLM Porcusmine Dolphin Porcusmine Lorkhanic Dolkhanic
MLMLsLML Porcusmine Crab Porcusmine Almalexian Crablexian
LMLsLMLM Porcusmine Tuna Porcusmine Vivecan Tunivecan
MLsLMLML Porcusmine Salmon Porcusmine Kagrenacan Salmenacan
LsLMLMLM Porcusmine Starfish Porcusmine Nerevarine Starevarine
sLMLMLML Porcusmine Whale Porcusmine Sothic Descending Whothic