User:BudjarnLambeth/Regular temperament interpretation of lucite23: Difference between revisions
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This is a generalisation of [[Gordon Wery]]'s [[343edo#Scales| | This is a generalisation of [[Gordon Wery]]'s [[343edo#Scales|lucite23]] scale into a [[regular temperament]] in the [[17-limit]]. | ||
It could be called ''' | It could be called '''lucite''' temperament. | ||
Using Sintel Temperament Finder's badness, it has a badness of: 3.052. | Using Sintel Temperament Finder's badness, it has a badness of: 3.052. | ||
Revision as of 11:58, 20 October 2025
This is a generalisation of Gordon Wery's lucite23 scale into a regular temperament in the 17-limit.
It could be called lucite temperament.
Using Sintel Temperament Finder's badness, it has a badness of: 3.052.
Links
Temperament data (x31eq)
Lower rank temperaments including it
(not exhaustive)
Mappings
Equal Temperament Mappings
2 3 5 7 11 13 17
[ ⟨ 23 36 53 64 79 85 94 ]
⟨ 11 18 26 31 38 41 45 ] ⟩
Reduced Mapping
2 3 5 7 11 13 17
[ ⟨ 1 0 1 2 3 3 4 ]
⟨ 0 18 15 9 5 8 1 ] ⟩
TE tuning
TE Generator Tunings (cents)
⟨1202.1556, 105.7334]
TE Step Tunings (cents)
⟨39.08862, 27.55611]
TE Tuning Map (cents)
⟨1202.156, 1903.200, 2788.156, 3355.911, 4135.133, 4452.334, 4914.356]
TE Mistunings (cents)
⟨2.156, 1.245, 1.842, -12.915, -16.184, 11.806, 9.400]
POTE tuning
POTE Generator Tunings (cents)
⟨1200.0000, 105.5438]
POTE Step Tunings (cents)
⟨39.01853, 27.50670]
POTE Tuning Map (cents)
⟨1200.000, 1899.788, 2783.157, 3349.894, 4127.719, 4444.350, 4905.544]
POTE Mistunings (cents)
⟨0.000, -2.167, -3.157, -18.932, -23.599, 3.822, 0.588]
Complexity and error
Complexity 3.761826
Adjusted Error 12.398890 cents
TE Error 3.033395 cents/octave
Commas
Unison Vectors
[-4, -1, 0, 2, 0, 0, 0⟩ (49/48)
[1, 1, -1, 0, 1, -1, 0⟩ (66/65)
[0, -1, 2, -1, 1, -1, 0⟩ (275/273)
[-4, 1, -1, -1, 1, 0, 1⟩ (561/560)
[-1, -1, 1, -1, 1, 1, -1⟩ (715/714)