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A '''UD''', or '''utonal division''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning.
A '''UD''', or '''utonal division''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning.


A UD is a specific (rational) type of ELD.
Its full specification is n-UDp: n utonal divisions of rational interval p. An n-UDO is equivalent to the nth [[Overtone_scale#Next_Steps|undertone mode, or under-n scale]].


undertone mode, or under-n scale (equivalent to n-UDO)
The only difference between n-UDp and [[ELD|n-ELDp (equal length division)]] is that the p for UD is rational, while the p for ELD is irrational.


n-UDp: n utonal divisions of interval p
An [[EDL|n-EDL]] is equivalent to a 2n-UDO (therefore EDL cannot be used to represent a UDO with an odd value for n).
 
An n-EDL is equivalent to a 2n-UDO (therefore EDL cannot be used to represent a UDO with an odd value for n).


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