User:BudjarnLambeth/1000/979: Difference between revisions
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Name
Canine comma
Color name
89u1uy31
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m Add temperament data |
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{{novelty}} | {{novelty}} | ||
{{Infobox Interval | {{Infobox Interval | ||
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| Comma = yes | | Comma = yes | ||
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'''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 fictional characters]] | [[Category:Commas named after fictional characters]] | ||
Revision as of 22:31, 14 December 2024
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
| Interval information |
1000/979, a.k.a. the canine comma, is tempered out by the Teefs temperament.
Tempering this comma on its own gives the canine temperament, a rank-3, 2.5.11.89 subgroup tuning.
Canine
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)