User:BudjarnLambeth/979/972: 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 = Basement comma | | Name = Basement comma | ||
| Ratio = 979/972 | |||
| Color name = 89o1o1 | | Color name = 89o1o1 | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''979/972''', a.k.a. the '''basement comma''', is tempered out by the [[Batch_89_temperaments#Floor|Floor]] temperament. | |||
Tempering this comma ''on its own'' gives the basement temperament, a [[rank-3]], 2.3.11.89 [[subgroup]] tuning. | |||
== Basement == | |||
<pre> | |||
Equal Temperament Mappings | |||
2 3 11 89 | |||
[ ⟨ 22 35 76 143 ] | |||
⟨ 7 11 24 45 ] | |||
⟨ 17 27 59 110 ] ⟩ | |||
Reduced Mapping | |||
2 3 11 89 | |||
[ ⟨ 1 0 0 2 ] | |||
⟨ 0 1 0 5 ] | |||
⟨ 0 0 1 -1 ] ⟩ | |||
TE Generator Tunings (cents) | |||
⟨1200.2058, 1903.2477, 4150.0862] | |||
TE Step Tunings (cents) | |||
⟨15.86039, 33.10329, 36.44437] | |||
TE Tuning Map (cents) | |||
⟨1200.206, 1903.248, 4150.086, 7766.564] | |||
TE Mistunings (cents) | |||
⟨0.206, 1.293, -1.232, -4.316] | |||
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 0.038678 | |||
Adjusted Error 3.661204 cents | |||
TE Error 0.565373 cents/octave | |||
Unison Vector | |||
[-2, -5, 1, 1⟩ (979:972) | |||
</pre> | |||
[[Category:Commas named after mythology or literature]] | |||