User:BudjarnLambeth/7921/7776: Difference between revisions
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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.)}} | |||
{{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 | '''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]] | |||