UD: Difference between revisions

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== Relationship to other tunings ==
== Relationship to other tunings ==


=== vs ED ===  
=== Vs ED ===  


It is possible to — instead of equally dividing the octave in 12 equal parts by pitch — divide it into 12 equal parts by length. You will have 12-ELDO.  
It is possible to — instead of equally dividing the octave in 12 equal parts by pitch — divide it into 12 equal parts by length. You will have 12-ELDO.  


=== vs under-n series ===
=== Vs under-n series ===


An n-UDO is equivalent to the nth [[Overtone_scale#Next_Steps|undertone mode, or under-n scale]].
An n-UDO is equivalent to the nth [[Overtone_scale#Next_Steps|undertone mode, or under-n scale]].


=== vs ELD ===
=== Vs ELD ===


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.
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.


=== vs US ===
=== Vs US ===


A UD will be equivalent to some [[US|US (utonal sequence)]]. E.g. 8-UD7 = 8-US3/4, because to get from 1 to 7 you cover 6 undertones, and 6 divided by 8 is 3/4.
A UD will be equivalent to some [[US|US (utonal sequence)]]. E.g. 8-UD7 = 8-US3/4, because to get from 1 to 7 you cover 6 undertones, and 6 divided by 8 is 3/4.


=== vs EDL ===
=== Vs EDL ===


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 [[EDL|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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