User:BudjarnLambeth/729/712: Difference between revisions

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 {{novelty}}
-'''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 2.3.89 [[subgroup]] tuning.
 {{Infobox Interval
 | Name = Oxidizer comma
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 | 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
+	3	89
+[ ⟨	7	11	45	]
+⟨	5	8	33	] ⟩
+Reduced Mapping
+	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]]