[DisCHORDDubstep]

I went through a few pages and didn't find it.

I thought you might call it the iMpede, but that's pretty long and someone already suggested it.

How about the 

iFi iMp

Seems appropriate, small impedance matching adapter.

hehehe.... It was me that said it first right?

 

[Garraty]

How about...
 
iAries
iTaurus
iVigro
iCapricorn
iAquarius
iOphiuchus
XImpetus (how it seems to make the headphones sound better with the driving amp)
XImpulse
iReticent (how quiet it makes the background noise so headphones/IEM's sound clearer)
iFi Drive 
iFi Taciturn
iFi Laconic
iFi Revelation
iFi Harmony
iFi Melody
iFi Choir
iSiren (how it reduces the buzz to make music sound even better so the music is like a siren)
iMute
iSilence
iQuietude
 
Feel free to change the first parts (iFi, i,etc...) as you see fit, if needed.
 
On the side, simply kudos to iFi for making such a contest! Good luck to all and cheers! 

 

 

[Ableza]

iTenuator 12 and iTenuator 24

 

[Lornecherry]

Well, if you want the same meaning with some distinction that people will remember, how 'bout: "i-tenuator"
 
Other candidates: "HissyFit"  (i.e. it fits IEMs).
 
"Hiss Harvester"
 
"Shiss Happens"
 
"QuietDown"
 
"iCANb Quiet"
 
"Quite Quiet" (QQ for short)

 

[phara0hseye]

iCalibrator

 

[Turn&cough]

How 'bout...
 
iMumbler
 
iMuffler
 
iMuffdiver

 

[bentobox]

iRadicator
iSans
iRedux
iSilk
iLush
iLux
Buzzkill

 

[65535]

Alternatively, 
 
iFi iDapt if not already suggested.

 

[DigitalFreak]

I still hope iFi calls these attenuators the iMP. It has the I in front so it meshes with the naming scheme of everything else and the name is easy to remember. You need something to hear your IEMs on your iCAN you just buy the iCAN iMP. Easy as that.

 

[usmin]

I-qualify, iFi clean, iFi clear, iFi silver 

 

[hugoboss]

i thinking of  "I-Tune" and " I-Tuner"

 

[hugoboss]

and also X-TUNE, X-TUNER

 

[Sherwood]

Powered products use the CamelCase "i" designation, but not passive ones.  I don't think the cable should start with "i" at all.
 
How about the "iFi Magnifier"?  Or perhaps better yet, "magniFier"?
 
It gives the impression of being more detailed, rather than simply quieter.  That's exactly what lowering noise floor and matching impedance should do, but everyone wants their sound to be magnified!

 

[DMax99]

iSpy

 

[Grey Owl]

iNight