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There are arguments that support a relative freedom of rhythm in Organa dupla but others refute this, saying that the interpretation of the music should always be according to modal or Franconian principles.
Two researchers, Apel and Waite, insisted upon a rigorously modal interpretation.
Though Waite in his dissertation, notably in chapter 4: The notation of organum duplum ' acknowledged that in organum duplum and monophonic conducts relative freedom may have been taken, he transcribed a selection of the Magnus Liber Organi of Leonin into strict modal rhythm.
Apel argued that the rhythms in Notre Dame organa, due to the rules of consonance are clearly non-modal.
To this day, as behooves scientists, debates on interpretation proceed as usual.
However, Waite published 54 years ago and his point of view has been superseded by ongoing research.
"... but view that the entire corpus the Magnus Liber Organi should be transcribed according to the rhythmic modes is no longer accepted " ( Peter Jeffery in the Notation Course Medieval Music 1100-1450 ( music205 ), Princeton ).

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