Odd-regular MV3 scale: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
|||
| (One intermediate revision by the same user not shown) | |||
| Line 2: | Line 2: | ||
== Properties == | == Properties == | ||
Odd-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. | ||
* Odd-regular MV3 scales have a [[generator sequence]] of period 2 ''where both generators subtend the same step class'' (unlike in even-regular MV3 scales). | |||
* Odd-regular MV3 scales are [[chirality|chiral]]. Ignoring chirality, there is at most one odd-regular MV3 scale pattern for a given step signature. | |||
== See also == | == See also == | ||
* [[Even-regular MV3 scale]] | * [[Even-regular MV3 scale]] | ||
* [[Ternary scale theorems]] | * [[Ternary scale theorems]] | ||
[[Category:Terms]][[Category:Scale]][[Category:Aberrismic theory]] | [[Category:Terms]][[Category:Scale]][[Category:Aberrismic theory]] | ||
Latest revision as of 15:37, 4 January 2025
An 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 aXaYbZ 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.
Properties
- Odd-regular MV3 scales always satisfy all 3 of the monotone-MOS conditions.
- Odd-regular MV3 scales have a generator sequence of period 2 where both generators subtend the same step class (unlike in even-regular MV3 scales).
- Odd-regular MV3 scales are chiral. Ignoring chirality, there is at most one odd-regular MV3 scale pattern for a given step signature.