TLS

[frameshift]

5d Roman measures how twenty-three can equal twelve? (5) M - D - I
7d Answer criticism after final change to neighbour's channels (5) A - L - J
The 'J' isn't a typo. Thanks.

[Wharton]

5d modii

[bibblebub]

7d) aflaj

[dannyk13]

Aflaj (irrigation system)

[frameshift]

Thanks, don't understand them though.

[bibblebub]

answer = A
criticism after final change = change the last letter of flak = FLAJ

[factor-fiction]

A= Answer
FLAK- criticism
Change letter K to its neighbour (j)
=AFLAJ

[factor-fiction]

Do wee need to know the answers to clue 23 and 12?

[factor-fiction]

We not wee!

[Wharton]

5d The only thing I could think of which fitted and made any sense!

[bibblebub]

http://www.thefreedictionary.com/modulus

modulus: an integer that can be divided exactly into the difference between two other integers

so 23 mod 11 = 2,3,4,6 or 12

and mod 11 could be written as mod ii

[Wharton]

I don't think I'll argue with that b/b!!

[factor-fiction]

modii is the plural of modius which is a Roman measure, so it's probably correct, but I can't see the wordplay. Roman numerals don't explain it. Does anyone know what the answers to 23 and 12 were?

[bibblebub]

not sure that it should be written as 23 mod 11 since that usually means something different

[factor-fiction]

Didn't see yours bibblebub while I was too busy researching my Roman measures.
As a mathematician I should have spotted that!

[factor-fiction]

I need to look up my mod stuff (we actually did it in primary school as part of some modern maths) but I thought it was something to do with remainders

[factor-fiction]

They are both multiples of 11 with remainders of one