Ikeda 407 Tone Arms - New or Vintage

Dear dover, you forget to name just one with 6 counterweight while

the expression ''multiple''  of them does not say exactly how

many are involved. The difference  is as by ''numerical quantifiers''

versus  ''universal'' which are not determinate.   

@nandric 

both the kuzma and moerch have at least 4 counterweights of different weights which are combined to optimise their mass and position. By my maths that equates to 24 combinations in each case 

the helius has 3 counterweights plus 2 small counterweights used in tandem. When you order a helius they ask you for the weight range of your cartridges to ensure optimisation.

the 6 counterweights for the Sumiko are quite crude by comparison

Versatile is perhaps a more appropriate term than universal. The tonearm closest to being universal is probably Audiocraft AC-3300/4400, which offers 4 different counterweights and 2 different sub counterweights but also various armpipes, including those specifically for SPU A and EMT TSD. And it offers adjustible oil damping. So far I have been unable to find a cartridge that doesn't perform well in this tonearm. That being said, there are some low compliance MC's that simply adore the FR-64/66 arm, like FR7, Ikeda 9, SPU and Miyabi. I assume the same goes for the later Ikeda arms.

Dear dover,  ''at least 4'' does not exist in the number theory.

This then must be your meta-mathematic (grin). 

edgewear, ''universal quantifiers'' are used to expres generality.

The so called ''universal satements'' are so ''composed''.

I am not aware of existance of ''verstile statements'' of any kind.