Generator: Difference between revisions
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"formal fifth" has 12 results on the xen discord server, several of which are referring to something completely different ("a fifth tuned differently from 3/2") Not a useful term to include |
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{{Expert|Periods and generators}} | {{Expert|Periods and generators}} | ||
A '''generator''' | A '''generator''' is an interval which is [[Stacking|stacked]] repeatedly to create pitches in a [[tuning system]] or a [[scale]]. | ||
In [[MOS scale]]s, the generator is an interval that you stack up and reduce by the [[period]] of the mos to construct the MOS pattern within each period. Along with the [[period]], it is one of two defining intervals of the MOS. For example: | In [[MOS scale]]s, the generator is an interval that you stack up and reduce by the [[period]] of the mos to construct the MOS pattern within each period. Along with the [[period]], it is one of two defining intervals of the MOS. For example: | ||
* In [[diatonic]] (LLLsLLs), the perfect fifth is a generator: stacking 6 fifths up from the tonic and reducing by the octave produces the pattern LLLsLLs, the Lydian mode. Note that the perfect fourth and the perfect twelfth can also work as generators. | * In [[diatonic]] (LLLsLLs), the perfect fifth is a generator: stacking 6 fifths up from the tonic and reducing by the octave produces the pattern LLLsLLs, the Lydian mode. Note that the perfect fourth and the perfect twelfth can also work as generators. | ||
* In [[ | * In [[2L 8s|jaric]] (ssLssssLss), the perfect fifth ([[~]][[3/2]]) is a generator and the half-octave is the period. | ||
== Mathematical definition == | == Mathematical definition == | ||