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putting this up to get the tempclean people to look at it, *could* make some interval chains and spectra but don't feel like that rn
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{{URWTC}}
'''Huxley''' is the 2.3.11.13-[[subgroup]] [[regular temperament|temperament]] where [[512/507]] and [[1352/1331]] vanish. It is an [[extension]] of [[lovecraft]], the 4 & 13 2.11.13 subgroup temperament, to include [[prime harmonic|prime]] [[3/1|3]].


Huxley is name given by Deja Igliashon to the 4p&13p 2.3.11.13 subgroup temperament where 512/507 and 1352/1331 vanish. It is an extension of Lovecraft temperament, the 4p&13p 2.11.13 subgroup temperament, to include prime 3. It uses this mapping:
Its POTE generator is 282.4139 cents, almost exactly 4 steps of [[17edo]] (282.3529 cents). As such, 17edo may be considered the ideal equal temperament in which to use it. Other edos that support it are {{EDOs| 4, 13, 21, 30, 38e, and 47b.}}
{| class="wikitable"
 
!2
It has [[moment of symmetry|moments of symmetry]] at 4, 9, 13, and 17 notes, and bears a tangential melodic relationship to [[orwell]] in that its 9-note mos has [[4L 5s|4 large and 5 small]] steps.
!3
 
!11
It was discovered and named by [[Deja Igliashon]].  
!13
 
See [[No-fives subgroup temperaments #Huxley]] for technical data.
 
== Interval chain ==
In the following table, odd harmonics 1–13 are '''bolded'''.  
 
{| class="wikitable center-1 right-2"
! # !! Cents* !! Approximate Ratios
|-
| 0 || 0.0 || '''1/1'''
|-
| 1 || 282.7 || 13/11
|-
| 2 || 565.5 || '''11/8'''
|-
| 3 || 848.2 || '''13/8'''
|-
| 4 || 1130.9 || 64/33
|-
| 5 || 213.6 || 44/39
|-
| 6 || 496.4 || '''4/3'''
|-
| 7 || 779.1 || 52/33
|-
|-
|1
| 8 || 1061.8 || 11/6
|3
|3
|3
|-
|-
|0
| 9 || 144.5 || 13/12
| -6
|2
|3
|}
|}
Its POTE generator is 282.4139 cents, almost exactly 4 steps of 17edo (282.3529 cents). As such, 17edo may be considered the ideal equal temperament in which to use it. Other EDOs that support it are 4p, 13p, 21p, 30p, 34p, 38e, 47b, and 51e.  
<nowiki>*</nowiki> in 2.3.11.13-subgroup [[CTE]] tuning


It has moments of symmetry at 4, 9, 13, and 17 notes, and bears a tangential melodic relationship to Orwell temperament in that its 9-note MOS has 4 large and 5 small steps.
[[Category:Huxley| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Subgroup temperaments]]
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