Odd-regular MV3 scale: Difference between revisions
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An [[Interval variety| | 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]]. | ||
Revision as of 14:04, 11 August 2024
An 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 aXaYbZ 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.