User:BudjarnLambeth/729/712: Difference between revisions
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Name
Oxidizer comma
Color name
L89u1
mNo edit summary |
m Temper info |
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{{novelty}} | {{novelty}} | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = Oxidizer comma | | Name = Oxidizer comma | ||
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| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''729/712''', a.k.a. the '''oxidizer comma''', is tempered out by the [[Batch 89 temperaments#Rocket|Rocket]] temperament. | |||
Tempering this comma ''on its own'' gives the oxidizer temperament, a [[rank-2]], 2.3.89 [[subgroup]] tuning. | |||
== Oxidizer == | |||
<pre> | |||
Equal Temperament Mappings | |||
2 3 89 | |||
[ ⟨ 7 11 45 ] | |||
⟨ 5 8 33 ] ⟩ | |||
Reduced Mapping | |||
2 3 89 | |||
[ ⟨ 1 2 9 ] | |||
⟨ 0 -1 -6 ] ⟩ | |||
TE Generator Tunings (cents) | |||
⟨1200.8669, 504.1340] | |||
TE Step Tunings (cents) | |||
⟨118.93652, 73.66225] | |||
TE Tuning Map (cents) | |||
⟨1200.867, 1897.600, 7782.997] | |||
TE Mistunings (cents) | |||
⟨0.867, -4.355, 12.117] | |||
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 0.386145 | |||
Adjusted Error 12.845148 cents | |||
TE Error 1.983582 cents/octave | |||
Unison Vector | |||
[-3, 6, -1⟩ (729:712) | |||
</pre> | |||
[[Category:Commas named after fictional characters]] | [[Category:Commas named after fictional characters]] | ||
Revision as of 22:39, 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 |
729/712, a.k.a. the oxidizer comma, is tempered out by the Rocket temperament.
Tempering this comma on its own gives the oxidizer temperament, a rank-2, 2.3.89 subgroup tuning.
Oxidizer
Equal Temperament Mappings 2 3 89 [ ⟨ 7 11 45 ] ⟨ 5 8 33 ] ⟩ Reduced Mapping 2 3 89 [ ⟨ 1 2 9 ] ⟨ 0 -1 -6 ] ⟩ TE Generator Tunings (cents) ⟨1200.8669, 504.1340] TE Step Tunings (cents) ⟨118.93652, 73.66225] TE Tuning Map (cents) ⟨1200.867, 1897.600, 7782.997] TE Mistunings (cents) ⟨0.867, -4.355, 12.117] 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 0.386145 Adjusted Error 12.845148 cents TE Error 1.983582 cents/octave Unison Vector [-3, 6, -1⟩ (729:712)