1kHz is quite fast , do you have such fast temperature changes on your cylinder ?
(How big is your cylinder? A big oven pipe of 20m or a small combustion element? )
What is your temperature range of interest?
You wouldn't need 9 TCs if you don't have temp gradients on your cylinder.
If you have a conducting (metal) cylinder with a temperature gradient and multiple point not isolated TCs you might get error EMFs (e.g.. error voltages) by your cylinder material !
A good source for TC knowledge:
Manual on the use of thermocouples in temperature measurement,
ASTM PCN: 28-012093-40,
ISBN 0-8031-1466-4
(Page1)'Regardless of how many facts are presented herein and regardless of the percentage retained, all will be for naught unless one simple important fact is kept firmly in mind. The thermocouple reports only what it "feels." This may or may not the temperature of interest"
Greetings from Germany
Henrik
LV since v3.1
“ground” is a convenient fantasy
'˙˙˙˙uıɐƃɐ lɐıp puɐ °06 ǝuoɥd ɹnoʎ uɹnʇ ǝsɐǝld 'ʎɹɐuıƃɐɯı sı pǝlɐıp ǝʌɐɥ noʎ ɹǝqɯnu ǝɥʇ'