27ed4: Difference between revisions
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m Removing from Category:Edonoi using Cat-a-lot |
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This tuning also lends itself to Tetrarchy temperament, effectively 7-limit [[Archytas clan|Archytas temperament]] for the [[4/1|tetratave]]. In this case, the major mossecond (5 mossteps) represents [[9/7]] and the minor mossecond (3 mossteps), a very accurate [[7/6]]. The generator is a sharp diatonic fifth (711.11¢), contextually a perfect mosthird (8 mossteps). The TE tuning gives a tetratave of 2393.9334 cents. | This tuning also lends itself to Tetrarchy temperament, effectively 7-limit [[Archytas clan|Archytas temperament]] for the [[4/1|tetratave]]. In this case, the major mossecond (5 mossteps) represents [[9/7]] and the minor mossecond (3 mossteps), a very accurate [[7/6]]. The generator is a sharp diatonic fifth (711.11¢), contextually a perfect mosthird (8 mossteps). The TE tuning gives a tetratave of 2393.9334 cents. | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 27 | |||
| num = 4 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 27 | |||
| num = 4 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
== Intervals == | == Intervals == | ||
| Line 14: | Line 28: | ||
! colspan="2" |Tetrarchy 3L 4s | ! colspan="2" |Tetrarchy 3L 4s | ||
! rowspan="2" |Cents | ! rowspan="2" |Cents | ||
! ~ Ratios | ! rowspan="2" |~ Ratios | ||
|- | |- | ||
!Note | !Note | ||
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!Note | !Note | ||
!Interval name | !Interval name | ||
|- | |- | ||
| 0 | | 0 | ||
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=== Tetrarchy === | === Tetrarchy === | ||
Tetrarchy is a [[Domain basis #Canonical form|noncanonical form]] of quarchy. | |||
* [[Subgroup]]: 4.3/2.9/7 | * [[Subgroup]]: 4.3/2.9/7 | ||
* [[Comma list]]: [[64/63]] | * [[Comma list]]: [[64/63]] | ||
* | * {{Mapping|legend=1|1 0 -1|0 1 4}} | ||
* [[Support|Supporting]] ETs: [[17ed4|17]], 27 | * [[Support|Supporting]] ETs: [[17ed4|17]], 27 | ||
* [[POTE tuning]]: ~[[3/2]] = 709.3213 | * [[POTE tuning]]: ~[[3/2]] = 709.3213 | ||
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The Nelindic temperament is described in it's own article on [[Nelinda]]. | The Nelindic temperament is described in it's own article on [[Nelinda]]. | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||