Delta-rational chord: Difference between revisions

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# A chord that has a delta signature with all entries +1 is called ''[[isoharmonic chord|isodifferential]]''.
# A chord that has a delta signature with all entries +1 is called ''[[isoharmonic chord|isodifferential]]''.


Due to the aforementioned equivalence of delta signatures under scaling, delta signatures of ''n'' terms are really elements of a projective space <math>\mathbb{R}\mathbf{P}^{n-1}</math>, specifically in the image of the all-positive orthant.
Due to the aforementioned equivalence of delta signatures under scaling, delta signatures of ''n'' terms are really elements of a projective space <math>\mathbb{R}\mathbf{P}^{n-1}</math>, specifically in the image of the all-positive {{w|orthant}}.


In practice these terms can loosely refer to approximations of mathematically exact PDR and FDR chords, for example in [[edo]] tunings.
In practice these terms can loosely refer to approximations of mathematically exact PDR and FDR chords, for example in [[edo]] tunings.