User:BudjarnLambeth/1000/979: Difference between revisions
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{{novelty}} | |||
{{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 = | | Name = Canine comma | ||
| Ratio = 1000/979 | |||
| Color name = 89u1uy<sup>3</sup>1 | |||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
1000/979, a.k.a. the | '''1000/979''', a.k.a. the '''canine comma''', is tempered out by the [[Batch_89_temperaments#Teefs|Teefs]] temperament. | ||
Tempering this comma ''on its own'' gives the canine temperament, a [[rank-3]], 2.5.11.89 [[subgroup]] tuning. | |||
== Canine == | |||
<pre> | |||
Equal Temperament Mappings | |||
2 5 11 89 | |||
[ ⟨ 9 21 31 59 ] | |||
⟨ 6 14 21 39 ] | |||
⟨ 7 16 24 45 ] ⟩ | |||
Reduced Mapping | |||
2 5 11 89 | |||
[ ⟨ 1 0 0 3 ] | |||
⟨ 0 1 0 3 ] | |||
⟨ 0 0 1 -1 ] ⟩ | |||
TE Generator Tunings (cents) | |||
⟨1199.0107, 2780.9802, 4155.2644] | |||
TE Step Tunings (cents) | |||
⟨32.41194, 92.72700, 50.13446] | |||
TE Tuning Map (cents) | |||
⟨1199.011, 2780.980, 4155.264, 7784.708] | |||
TE Mistunings (cents) | |||
⟨-0.989, -5.333, 3.946, 13.828] | |||
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 0.025366 | |||
Adjusted Error 11.270504 cents | |||
TE Error 1.740421 cents/octave | |||
Unison Vector | |||
[3, 3, -1, -1⟩ (1000:979) | |||
</pre> | |||
[[Category:Commas named after mythology or literature]] | |||