Period: Difference between revisions

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The '''period''' of a [[MOS]] is the interval at which the MOS pattern repeats; it is the interval of equivalence (usually the octave) or a fraction of it. Along with the [[generator]], it is one of the two defining intervals of a MOS. For example:
The '''period''' of a [[MOS]] is the interval at which the MOS pattern repeats; it is the [[interval of equivalence]] (usually the octave) or a fraction of it. Along with the [[generator]], it is one of the two defining intervals of a MOS. For example:
* The diatonic scale (LLsLLLs) has period equal to the octave.
* The diatonic scale (LLsLLLs) has period equal to the octave.
* The diminished scale (sLsLsLsL) has period 1\4, because the MOS pattern sL repeats at every 300 cents.
* The diminished scale (sLsLsLsL) has period 1\4, because the MOS pattern sL repeats at every 300 cents.
The same definition applies for a [[rank]]-2 temperament, when the temperament is seen as generating a MOS.
The same definition applies for a [[rank]]-2 temperament, when the temperament is seen as generating a MOS.
[[Category:MOS]][[Category:Rank 2]]
[[Category:MOS]][[Category:Rank 2]]

Revision as of 19:26, 15 January 2021

The period of a MOS is the interval at which the MOS pattern repeats; it is the interval of equivalence (usually the octave) or a fraction of it. Along with the generator, it is one of the two defining intervals of a MOS. For example:

  • The diatonic scale (LLsLLLs) has period equal to the octave.
  • The diminished scale (sLsLsLsL) has period 1\4, because the MOS pattern sL repeats at every 300 cents.

The same definition applies for a rank-2 temperament, when the temperament is seen as generating a MOS.