User:BudjarnLambeth/7936/7921: 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.)}}
-'''7936/7921''', a.k.a. the '''lily comma''', is tempered out by the [[Batch_89_temperaments#Lylla|Lylla]] temperament.
-Tempering this comma ''on its own'' gives the lily temperament, a 2.31.89 [[subgroup]] tuning.
 {{Infobox Interval
 | Name = Lily comma
+| Ratio = 7936/7921
 | Color name = 89uu31o1
 | Comma = yes
 }}
-[[Category:Commas named after fictional characters]]
+'''7936/7921''', a.k.a. the '''lily comma''', is tempered out by the [[Batch_89_temperaments#Lylla|Lylla]] temperament.
+Tempering this comma ''on its own'' gives the lily temperament, a [[rank-2]], 2.31.89 [[subgroup]] tuning.
+== Lily ==
+<pre>
+Equal Temperament Mappings
+	31	89
+[ ⟨	21	104	136	]
+⟨	23	114	149	] ⟩
+Reduced Mapping
+	31	89
+[ ⟨	1	4	6	]
+⟨	0	2	1	] ⟩
+TE Generator Tunings (cents)
+⟨1199.8978, 572.5654]
+TE Step Tunings (cents)
+⟨29.87046, 24.89644]
+TE Tuning Map (cents)
+⟨1199.898, 5944.722, 7771.952]
+TE Mistunings (cents)
+⟨-0.102, -0.314, 1.072]
+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	0.166333
+Adjusted Error	0.764933 cents
+TE Error	0.118123 cents/octave
+Unison Vector
+[8, 1, -2⟩ (7936:7921)
+</pre>
+[[Category:Commas named after mythology or literature]]