\version "2.12.1"
\include "english.ly"

#(define (circStil grob)
  (let* ((line-thickness (ly:staff-symbol-line-thickness grob))
         (width (+ line-thickness 1))
         (stem-thickness (* line-thickness 1.3))
         (radius (/ (- width stem-thickness) 2))
         (duration-log (note-head::calc-duration-log grob))
         (fill-or-stroke (if (< duration-log 2) "stroke" "fill")))
    (ly:make-stencil (list 'embedded-ps
      (ly:format "
        /line-thickness ~a def
        /stem-thickness ~a def
        /radius ~a def
        /width ~a def
        /half-width width 2 div def
        /x0 half-width def
        /y0 0 def
        /x1 width stem-thickness 2 div sub def
        /y1 half-width stem-thickness 2 div sub def
        /x2 stem-thickness 2 div def
        /y2 half-width neg stem-thickness 2 div add def

        gsave
        currentpoint translate
        stem-thickness setlinewidth
        newpath x0 y0 radius 0 360 arc ~a
        grestore"
        line-thickness stem-thickness radius width fill-or-stroke))
  (cons 0 width)
  (cons (- width) width))))

\score {
  \new StaffGroup 
  <<
  \new RhythmicStaff = "breath" \with {
    \remove "Time_signature_engraver"
    \override VerticalAxisGroup #'no-alignment = ##t
    \override StaffSymbol #'line-count = #1
    \override Stem #'direction = #DOWN
    \override Stem #'length = #10
    \override NoteHead #'stem-attachment = #'(0 . -0.75)
    \override NoteHead #'stencil = #circStil
  } 
  \relative gf'' {
    \time 3/8 \stopStaff s4 s16 \startStaff s
    \time 1/8 s8
    \time 2/8 s16 \stopStaff s
  }
  \new Staff = "pitch" \relative gf'' {
    \stemDown %% use \stemDown \stemNeutral with breath notes
    \override Beam #'damping = #+inf.0 %% completely horizontal beams
    \time 3/8 gf4(~ gf16 \change Staff = "breath" b,~ 
    \time 1/8 b8~
    \time 2/8 b16)[ \change Staff = "pitch" r c8]
    \stemNeutral
    \revert Beam #'damping
  }
  >>
}