Chirality: Difference between revisions
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== Chirality in MV3 scales == | == Chirality in MV3 scales == | ||
Assume a scale is [[MV3]] and is of the form ax by bz. Additionally assume that the mos ax 2bY that results from equating y and z is not a multimos. Then the scale must be chiral because there are no rotations that will make the two equivalent (each mode of the mos ax 2bY corresponding to two chiral variants). This defines a definition | Assume a scale is [[MV3]] and is of the form ax by bz. Additionally assume that the mos ax 2bY that results from equating y and z is not a multimos. Then the scale must be chiral because there are no rotations that will make the two equivalent (each mode of the mos ax 2bY corresponding to two chiral variants). This defines a definition of handedness specifically for MV3 scales of this type: | ||
# Identify y and z to Y to get a mos. Take the mode that has the most x's at the beginning. When you undo the identification, the mv3 mode will start with either y or z first. | # Identify y and z to Y to get a mos. Take the mode that has the most x's at the beginning. When you undo the identification, the mv3 mode will start with either y or z first. | ||
# If y is bigger than z then the chiral variant beginning with y is ''right-handed''. Otherwise, it is ''left-handed''. | # If y is bigger than z then the chiral variant beginning with y is ''right-handed''. Otherwise, it is ''left-handed''. | ||