User:BudjarnLambeth/Nimona: Difference between revisions

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-Nimona is a 2.15.23 [[Just intonation subgroup|subgroup]] temperament. It has the lowest [[complexity]] of any temperament in the 2.15.23 subgroup (for a target error of 10 [[Cent|cents]]), according to x31eq.com.
+'''Nimona''' is a 2.15.23 [[just intonation subgroup|subgroup]] [[temperament]] that [[tempering out|tempers out]] the 2.23 subgroup comma [[529/512]] with the addition of an independent [[generator]] for harmonic [[15/1|15]]. As a result of tempering out 529/512, [[23/16]] is tuned to the semioctave. It has the lowest [[complexity]] of any temperament in the 2.15.23 subgroup for a target error of 10 [[cent]]s, according to [[Graham Breed]]'s [http://x31eq.com/temper/ temeprament finder].
-It was described to celebrate the release of the film ''Nimona''. The 15th and 23rd harmonics represent that the film was first announced in 2015, and was released in 2023. The 2nd harmonic represents that the film had a second chance at life, since it was cancelled by Disney but later picked up and resurrected by Netflix.
+It was named by [[Budjarn Lambeth]] in 2023 after the film ''Nimona''. The 15th and 23rd harmonics represent that the film was first announced in 2015, and was released in 2023. The 2nd harmonic represents that the film had a second chance at life, since it was cancelled by Disney but later picked up and resurrected by Netflix.
 == Temperament data ==
+[[Subgroup]]: 2.15.23
+[[Comma list]]: 529/512
-Equal Temperament Mappings
+{{Mapping|legend=1| 2 0 9 | 0 1 0 }}
-{| class="wikitable"
-!
-!2
-!15
-!23
-!
-|-
-|[ ⟨
-|2
-|8
-|9
-|]
-|-
-|⟨
-|10
-|39
-|45
-|] ⟩
-|}
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~15/8 = 1088.2687
+* [[CWE]]: ~2 = 1\1, ~15/8 = 1080.1288
-Reduced Mapping
+{{Optimal ET sequence|legend=1| 2, 6, 8, 10, 38*, 48*, 58* }}
-{| class="wikitable"
-!
-!2
-!15
-!23
-!
-|-
-|[ ⟨
-|2
-|8
-|9
-|]
-|-
-|⟨
-|0
-| -1
-|0
-|] ⟩
-|}
+<nowiki>*</nowiki> nonpatent val
-Unison Vector
+== Scales ==
+* Nimona[18] in TE tuning
-[-9, 0, 2⟩ (529:512)
+<pre>
+! nimona18.scl
-</br>
+Nimona[18] in TE tuning
-{| class="wikitable"
+!
-|Complexity
+.635
-|0.240692
+.232
-|-
+.867
-|Adjusted Error
+.464
-|11.573055 cents
+.099
-|-
+.696
-|TE Error
+.331
-|2.558394 cents/octave
+.928
-|}
+.563
+.197
-== TE tunings ==
+.795
+.429
+.027
+.661
-[[Tenney-Euclidean tuning|TE]] Generator Tunings (cents)
+.259
+.893
-⟨601.5626, 124.2320]
+.491
+.125
+</pre>
-TE Step Tunings (cents)
-⟨-19.59759, 124.23204]
-TE Tuning Map (cents)
-⟨1203.125, 4688.269, 5414.063]
-TE Mistunings (cents)
-⟨3.125, -0.000, -14.211]
-== POTE tunings ==
-[[POTE tuning|POTE]] Generator Tunings (cents)
-⟨600.0000, 123.9093]
-POTE Step Tunings (cents)
-⟨-19.54668, 123.90934]
-POTE Tuning Map (cents)
-⟨1200.000, 4676.091, 5400.000]
-POTE Mistunings (cents)
-⟨0.000, -12.178, -28.274]
-== Example MOS scale: TE Nimona[18] ==
-(Intervals given in cents)
-* 104.635
-* 124.232
-* 228.867
-* 248.464
-* 353.099
-* 372.696
-* 477.331
-* 496.928
-* 601.563
-* 706.197
-* 725.795
-* 830.429
-* 850.027
-* 954.661
-* 974.259
-* 1078.893
-* 1097.491
-* 1203.125
-[[Category:23-limit]]
 [[Category:Temperaments]]
 [[Category:Subgroup temperaments]]
 [[Category:18-tone scales]]
+[[Category:MOS scales]]
 [[Category:Tempered scales]]
+[[Category:Pages with Scala files]]