Open-string harmonics in tablature

This snippet demonstrates open-string harmonics.

\version "2.24"

% LSR modified by P.P.Schneider on Feb.2014

openStringHarmonics = {
  \textSpannerDown
  \override TextSpanner.staff-padding = 3
  \override TextSpanner.dash-fraction = 0.3
  \override TextSpanner.dash-period = 1
  
  % first harmonic
  \override TextSpanner.bound-details.left.text =
    \markup\small "1st harm. "
  \harmonicByFret 12 e,2\6\startTextSpan
  \harmonicByRatio #1/2 e,\6\stopTextSpan
  
  % second harmonic
  \override TextSpanner.bound-details.left.text =
    \markup\small "2nd harm. "
  \harmonicByFret 7 e,\6\startTextSpan
  \harmonicByRatio #1/3 e,\6
  \harmonicByFret 19 e,\6
  \harmonicByRatio #2/3 e,\6\stopTextSpan
  %\harmonicByFret 19 < e,\6 a,\5 d\4 >
  %\harmonicByRatio #2/3 < e,\6 a,\5 d\4 >
  
  % third harmonic
  \override TextSpanner.bound-details.left.text =
    \markup\small "3rd harm. "
  \harmonicByFret 5 e,\6\startTextSpan
  \harmonicByRatio #1/4 e,\6
  \harmonicByFret 24 e,\6
  \harmonicByRatio #3/4 e,\6\stopTextSpan
  \break
  
  % fourth harmonic
  \override TextSpanner.bound-details.left.text =
    \markup\small "4th harm. "
  \harmonicByFret 4 e,\6\startTextSpan
  \harmonicByRatio #1/5 e,\6
  \harmonicByFret 9 e,\6
  \harmonicByRatio #2/5 e,\6
  \harmonicByFret 16 e,\6
  \harmonicByRatio #3/5 e,\6\stopTextSpan
  
  % fifth harmonic
  \override TextSpanner.bound-details.left.text =
    \markup\small "5th harm. "
  \harmonicByFret 3 e,\6\startTextSpan
  \harmonicByRatio #1/6 e,\6\stopTextSpan
  \break
  
  % sixth harmonic
  \override TextSpanner.bound-details.left.text =
    \markup\small "6th harm. "
  \harmonicByFret 2.7 e,\6\startTextSpan
  \harmonicByRatio #1/7 e,\6\stopTextSpan
  
  % seventh harmonic
  \override TextSpanner.bound-details.left.text =
    \markup\small "7th harm. "
  \harmonicByFret 2.3 e,\6\startTextSpan
  \harmonicByRatio #1/8 e,\6\stopTextSpan
  
  % eighth harmonic
  \override TextSpanner.bound-details.left.text =
    \markup\small "8th harm. "
  \harmonicByFret 2 e,\6\startTextSpan
  \harmonicByRatio #1/9 e,\6\stopTextSpan
}

\score {
  <<
    \new Staff \with { \omit StringNumber } {
      \new Voice {
        \clef "treble_8"
        \openStringHarmonics
      }
    }
    \new TabStaff {
      \new TabVoice {
        \openStringHarmonics
      }
    }
  >>
}