User:BudjarnLambeth/7921/7776: Difference between revisions
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Name
Attic comma
Color name
89oo1
mNo edit summary |
m Temper data |
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{{novelty}} | {{novelty}} | ||
{{Infobox Interval | {{Infobox Interval | ||
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| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''7936/7921''', a.k.a. the '''attic comma''', is tempered out by the [[Batch_89_temperaments#Floor|Floor]] temperament. | |||
Tempering this comma ''on its own'' gives the attic temperament, a [[rank-2]], 2.3.89 [[subgroup]] tuning. | |||
== Attic == | |||
<pre> | |||
Equal Temperament Mappings | |||
2 3 89 | |||
[ ⟨ 7 11 45 ] | |||
⟨ 17 27 110 ] ⟩ | |||
Reduced Mapping | |||
2 3 89 | |||
[ ⟨ 1 1 5 ] | |||
⟨ 0 2 5 ] ⟩ | |||
TE Generator Tunings (cents) | |||
⟨1200.6258, 351.4507] | |||
TE Step Tunings (cents) | |||
⟨28.46792, 58.90296] | |||
TE Tuning Map (cents) | |||
⟨1200.626, 1903.527, 7760.382] | |||
TE Mistunings (cents) | |||
⟨0.626, 1.572, -10.498] | |||
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 0.519162 | |||
Adjusted Error 7.480760 cents | |||
TE Error 1.155199 cents/octave | |||
Unison Vector | |||
[-5, -5, 2⟩ (7921:7776) | |||
</pre> | |||
[[Category:Commas named after fictional characters]] | [[Category:Commas named after fictional characters]] | ||
Revision as of 22:41, 14 December 2024
|
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 |
7936/7921, a.k.a. the attic comma, is tempered out by the Floor temperament.
Tempering this comma on its own gives the attic temperament, a rank-2, 2.3.89 subgroup tuning.
Attic
Equal Temperament Mappings 2 3 89 [ ⟨ 7 11 45 ] ⟨ 17 27 110 ] ⟩ Reduced Mapping 2 3 89 [ ⟨ 1 1 5 ] ⟨ 0 2 5 ] ⟩ TE Generator Tunings (cents) ⟨1200.6258, 351.4507] TE Step Tunings (cents) ⟨28.46792, 58.90296] TE Tuning Map (cents) ⟨1200.626, 1903.527, 7760.382] TE Mistunings (cents) ⟨0.626, 1.572, -10.498] 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 0.519162 Adjusted Error 7.480760 cents TE Error 1.155199 cents/octave Unison Vector [-5, -5, 2⟩ (7921:7776)