Interval arithmetic: Difference between revisions
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== Enharmonic unisons == | == Enharmonic unisons == | ||
Adding together two intervals can make awkward names, e.g m3 + m2 = dim 4th. To make them less awkward, one can add or subtract an [[ | Adding together two intervals can make awkward names, e.g m3 + m2 = dim 4th. To make them less awkward, one can add or subtract an [[enharmonic unison]], EU for short, which changes the spelling but not the tuning. | ||
EUs can be essential for microtonal interval arithmetic. For example, the Porcupine/Triyoti genchain can instead be named using [[Pergen|ups and downs]]. This preserves the three foundational properties of conventional notation: octave-equivalent, fifth-generated, and heptatonic. | EUs can be essential for microtonal interval arithmetic. For example, the Porcupine/Triyoti genchain can instead be named using [[Pergen|ups and downs]]. This preserves the three foundational properties of conventional notation: octave-equivalent, fifth-generated, and heptatonic. | ||