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Mobs

🔗Gene Ward Smith <gwsmith@svpal.org>

6/29/2004 4:39:40 PM

Let us say that a set of three or more 7-limit linear temperaments
forms a mob if each pair in the set is related by the same union and
intersection of their kernels. For example, ennealimmal,
hemiwuerscmidt and hemififths form a mob, with et 99 and comma
2401/2400. If we switch to et 72 and 2401/2400, we get another mob
from ennealimmal, miracle and harry (the 2401/2400 and 19683/19600
temperament.) A mob can have many members; meantone, miracle, orwell,
wuerschmidt, tritonic (meaning the <<5 -11 -12 -29 -33 3||
temperament) and slender are all mobbed up around 225/224 and 31 taken
together, a mob obviously supplied with some serious muscle.