Hi Erik,

Why doesn't the first bar tie to the second?

Because there are three different Voice contexts involved here... be sure to read the documentation, especially <http://lilypond.org/doc/v2.13/Documentation/notation/Multiple- voices#Multiple-voices>

But you don't even need that much explanation — you simply need to put the first chord of the tied set outside the <<>>, e.g.

mus = \relative c {
  \autoBeamOff
  \key d \major
  \time 3/4
  \clef bass
  << { <d a' d>2 } \\ { d,2 } >> <d d'>4 ~   |
  <d d'>2.   |
}

\score { \mus }

Hope this helps,
Kieren.

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