User:BudjarnLambeth/7921/7776: Difference between revisions

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{{novelty}}
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{{editable user page|Do not remove anything, but feel free to add stuff (e.g. music, instruments, modes, subsets, tables, diagrams, any other observations.)}}


7936/7921, a.k.a. the attic comma, is tempered out by the [[Batch_89_temperaments#Floor|Floor]] temperament.
Tempering this comma ''on its own'' gives the attic temperament, a 2.3.89 [[subgroup]] tuning.


{{Infobox Interval
{{Infobox Interval
| Name = Attic comma
| Name = Attic comma
| Ratio = 7921/7776
| Color name = 89oo1
| Color name = 89oo1
| Comma = yes
| Comma = yes
}}
}}


[[Category:Commas named after individuals]]
'''7936/7921''', a.k.a. the '''attic comma''', is tempered out by the [[Batch_89_temperaments#Floor|Floor]] temperament.
 
Tempering this comma ''on its own'' gives the attic temperament, a [[rank-2]], 2.3.89 [[subgroup]] tuning.
 
== Attic ==
<pre>
Equal Temperament Mappings
2 3 89
[ ⟨ 7 11 45 ]
⟨ 17 27 110 ] ⟩
Reduced Mapping
2 3 89
[ ⟨ 1 1 5 ]
⟨ 0 2 5 ] ⟩
TE Generator Tunings (cents)
⟨1200.6258, 351.4507]
TE Step Tunings (cents)
⟨28.46792, 58.90296]
TE Tuning Map (cents)
⟨1200.626, 1903.527, 7760.382]
TE Mistunings (cents)
⟨0.626, 1.572, -10.498]
 
These calculations use inharmonic TE. Subgroup TE will not work because the basis is not a subgroup of the rational numbers or has a redundant entry or something else is wrong.
Complexity 0.519162
Adjusted Error 7.480760 cents
TE Error 1.155199 cents/octave
Unison Vector
[-5, -5, 2⟩ (7921:7776)
</pre>
 
[[Category:Commas named after mythology or literature]]