Odd-regular MV3 scale: Difference between revisions

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An [[Interval variety|MV3]] (maximum variety 3) scale is '''regular''' if it has an odd number of notes per equave 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 regular with the sole exception of the ternary [[Fraenkel word]] '''XYXZXYX''' up to permutation. A balanced MV3 (maximum variety 3) scale is regular (equivalently SV3) if and only if it is not [[diregular scale|diregular]].
An [[Interval variety|MV3]] (maximum variety 3) scale is '''odd-regular''' if it has an odd number of notes per equave 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 balanced MV3 (maximum variety 3) scale is odd-regular (equivalently SV3) if and only if it is not [[even-regular MV3 scale|even-regular]].


Regular MV3 scales always satisfy all 3 of the [[monotone-MOS scale|monotone-MOS]] conditions.
Odd-regular MV3 scales always satisfy all 3 of the [[monotone-MOS scale|monotone-MOS]] conditions.
[[Category:Terms]][[Category:Scale]]
[[Category:Terms]][[Category:Scale]]