User:BudjarnLambeth/8000/7921: Difference between revisions
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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]] | ||