This example eschews numbers for the irrational tuplets in favor of Greek letters, or at least the Greek names for the symbols. I'm not sure how to get a Greek font in Lilypond. It might not be possible. In any case it's not important, since that can always be fixed in the mix with photoshop. e is the familiar constant 2.71828... while phi is the golden section, 1.6180339...
Technically speaking, we're also dealing with transcendental tuplets rather than irrationals here, since the square root of pi is a transcendental number (I think. Pi is known to be transcendental, but is the square of pi proven to be transcendental?). Anyway, for extra fun, this is done inside a regular plain-vanilla 14/8 meter, so any other type of tuplet or polyrhythm can be laid on top as desired without any particular trouble. <http://lilypond.1069038.n5.nabble.com/file/n196325/EXAMPLE_106-e_in_time_of_phi_tuplets_in_14-8_meter.gif> And here's the Lilypond code: \version "2.18.2" above = { \once \override Script #'script-priority = #-100 } below = { \once \override TextScript #'script-priority = #-100 } irrtupleta = \once \override TupletNumber.text = \markup \concat { "e:phi" } irrtupletb = \once \override TupletNumber.text = \markup \concat { \tiny "√" \hspace #-0.15 \override #'(offset . -16) \override #'(thickness . 1.6) \underline "pi" ":" "1" } << \new Staff { \clef "treble" \time 14/8 \relative c' \override TupletNumber #'text = #tuplet-number::calc-fraction-text { c''8[ c''8] \irrtupleta \tuplet 1000/595{c''8[ c''8 c''8]} c''8[ c''8] \irrtupletb \tweak direction #up \tuplet 1000/564{c''8[ c''8]} c''8 c''8 \irrtupleta \tuplet 1000/595{c''8[ c''8 c''8]} c''8[ c''8] \irrtupletb \tweak direction #up \tuplet 1000/564{c''8 c''8} \tweak direction #down \tuplet 1000/174{ r8} } \relative c' \override TupletNumber #'text = #tuplet-number::calc-fraction-text { c''8[ c''8] \irrtupleta \tuplet 1000/595{c''8[ c''8 c''8]} c''8[ c''8] \irrtupletb \tweak direction #up \tuplet 1000/564{c''8[ c''8]} c''8 c''8 \irrtupleta \tuplet 1000/595{c''8[ c''8 c''8]} c''8[ c''8] \irrtupletb \tweak direction #up \tuplet 1000/564{c''8 c''8} \tweak direction #down \tuplet 1000/174{ r8} } } >> -- View this message in context: http://lilypond.1069038.n5.nabble.com/e-in-the-time-of-phi-and-square-root-of-pi-tuplet-hijinks-tp196325.html Sent from the User mailing list archive at Nabble.com. _______________________________________________ lilypond-user mailing list lilypond-user@gnu.org https://lists.gnu.org/mailman/listinfo/lilypond-user
