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 documented 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 due to its pro-LGBT messaging, but then 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 ==
== 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
|] ⟩
|}


: mapping generators: ~23/16, ~15


Reduced Mapping
[[Optimal tuning]]s:
{| class="wikitable"
* [[CTE]]: ~2 = 1\1, ~15/8 = 1088.2687
!
* [[CWE]]: ~2 = 1\1, ~15/8 = 1080.1288
!2
!15
!23
!
|-
|[ ⟨
|2
|8
|9
|]
|-
|⟨
|0
| -1
|0
|] ⟩
|}


{{Optimal ET sequence|legend=1| 2, 6, 8, 10, 38*, 48*, 58* }}


Unison Vector
<nowiki>*</nowiki> nonpatent val


[-9, 0, 2⟩ (529:512)
== Scales ==
 
* Nimona[18] in TE tuning
</br>
<pre>
 
! nimona18.scl
{| class="wikitable"
Nimona[18] in TE tuning
|Complexity
18
|0.240692
!
|-
104.635
|Adjusted Error
124.232
|11.573055 cents
228.867
|-
248.464
|TE Error
353.099
|2.558394 cents/octave
372.696
|}
477.331
 
496.928
== TE tunings ==
601.563
 
706.197
 
725.795
 
830.429
[[Tenney-Euclidean tuning|TE]] Generator Tunings (cents)
850.027
 
954.661
⟨601.5626, 124.2320]
974.259
 
1078.893
 
1097.491
TE Step Tunings (cents)
1203.125
 
</pre>
⟨-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
[[Category:Nimona| ]] <!-- main article -->
* 124.232
[[Category:Rank-2 temperaments]]
* 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:Subgroup temperaments]]
[[Category:18-tone scales]]
[[Category:18-tone scales]]
[[Category:MOS scales]]
[[Category:Tempered scales]]
[[Category:Tempered scales]]
[[Category:Pages with Scala files]]

Latest revision as of 02:57, 7 May 2025

Nimona is a 2.15.23 subgroup temperament that tempers out the 2.23 subgroup comma 529/512 with the addition of an independent generator for harmonic 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 cents, according to Graham Breed's temeprament finder.

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

Mapping: [⟨2 0 9], ⟨0 1 0]]

mapping generators: ~23/16, ~15

Optimal tunings:

  • CTE: ~2 = 1\1, ~15/8 = 1088.2687
  • CWE: ~2 = 1\1, ~15/8 = 1080.1288

Optimal ET sequence: 2, 6, 8, 10, 38*, 48*, 58*

* nonpatent val

Scales

  • Nimona[18] in TE tuning
! nimona18.scl
Nimona[18] in TE tuning
18
!
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
Retrieved from "https://en.xen.wiki/index.php?title=User:BudjarnLambeth/Nimona&oldid=195600"