8th-octave temperaments: Difference between revisions

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Created page with "{{Fractional-octave navigation|8}} == Octium == Octium temperament is named after an "extended provisional" name for oxygen, the 8th element. The term oxygen itself is al..."
 
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{{Fractional-octave navigation|8}}
{{Technical data page}}
{{Infobox fractional-octave|8}}
An 8th-octave temperament can be described by temperament merging of edos whose greatest common divisor is 8.


== Octium ==
Temperaments discussed elsewhere include:
Octium temperament is named after an "extended provisional" name for oxygen, the 8th element. The term [[oxygen]] itself is already the name of an exotemperament.
* ''[[Octant]]'' → [[Schismatic family #Octant|Schismatic family]]
* ''[[Octonion]]'' → [[Diminished family #Octonion|Diminished family]]
* ''[[Twilight]]'' → [[Undim family #Twilight|Undim family]]
* [[Octoid]] → [[Ragismic microtemperaments #Octoid|Ragismic microtemperaments]]
* ''[[Octatonic (temperament)|Octatonic]]'' → [[No-fives subgroup temperaments #Octatonic|No-fives subgroup temperaments]]


Subgroup: 2.3.19.23.29.31
{{Navbox fractional-octave}}
 
Comma list: 94221/94208, 419957/419904, 219501/219488, 7997934975003/7996960669696
 
{{Mapping|legend=2| 8 2 35 25 47 2 | 0 21 -2 22 -16 74 }}
 
: mapping generators: ~10051/9216 = 1\8, ~231173/221184 = 76.284
 
[[Optimal tuning]] ([[CTE]]): ~231173/221184 = 76.284
 
[[Support]]ing [[ET]]s: {{EDOs|472, 1400, 1872, 3272, 5144}}