Odd-regular MV3 scale: Difference between revisions

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	An [[Interval variety\|MV3]] (maximum variety 3) scale is '''odd-regular''' if it has an odd number of notes per period and has a step signature of the form a'''X'''a'''Y'''b'''Z''' where b is odd. All [[balanced]] SV3 (strict variety 3) scales are odd-regular with the sole exception of the ternary [[Fraenkel word]] '''XYXZXYX''' up to ~~permutation~~. A non-Fraenkel balanced MV3 (maximum variety 3) scale is odd-regular (equivalently SV3) if and only if it is not [[even-regular MV3 scale\|even-regular]].		An [[Interval variety\|MV3]] (maximum variety 3) scale is '''odd-regular''' if it has an odd number of notes per period and has a step signature of the form a'''X'''a'''Y'''b'''Z''' where b is odd. All [[balanced]] SV3 (strict variety 3) scales are odd-regular with the sole exception of the ternary [[Fraenkel word]] '''XYXZXYX''' up to letter reassignments. A non-Fraenkel balanced MV3 (maximum variety 3) scale is odd-regular (equivalently SV3) if and only if it is not [[even-regular MV3 scale\|even-regular]].

	== Properties ==		== Properties ==