User:BudjarnLambeth/8000/7921: Difference between revisions

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'''7936/7921''', a.k.a. the '''incisor comma''', is tempered out by the [[Batch_89_temperaments#Teefs|Teefs]] temperament.
Tempering this comma ''on its own'' gives the incisor temperament, a 2.5.89 [[subgroup]] tuning.


{{Infobox Interval
{{Infobox Interval
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'''8000/7921''', a.k.a. the '''incisor comma''', is tempered out by the [[Batch_89_temperaments#Teefs|Teefs]] temperament.
Tempering this comma ''on its own'' gives the incisor temperament, a [[rank-2]], 2.5.89 [[subgroup]] tuning.
<pre>
Equal Temperament Mappings
2 5 89
[ ⟨ 1 2 6 ]
⟨ 3 7 20 ] ⟩
Reduced Mapping
2 5 89
[ ⟨ 1 2 6 ]
⟨ 0 1 2 ] ⟩
TE Generator Tunings (cents)
⟨1194.0223, 366.0414]
TE Step Tunings (cents)
⟨95.89814, 366.04140]
TE Tuning Map (cents)
⟨1194.022, 2754.086, 7896.217]
TE Mistunings (cents)
⟨-5.978, -32.228, 125.337]
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 0.182135
Adjusted Error 91.808421 cents
TE Error 14.177301 cents/octave
Unison Vector
[2, 2, -1⟩ (100:89)
</pre>


[[Category:Commas named after fictional characters]]
[[Category:Commas named after fictional characters]]