Landscape microtemperaments: Difference between revisions
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'''Landscape microtemperaments''' are rank two temperaments tempering out the [[landscape comma]] ({{Monzo| -4 6 -6 3 }} = 250047/250000). | '''Landscape microtemperaments''' are rank two temperaments tempering out the [[landscape comma]] ({{Monzo| -4 6 -6 3 }} = 250047/250000). | ||
Landscape rank-two temperaments include sextile, septichrome, pnict, and domain. Considered elsewhere are [[Ragismic microtemperaments|ennealimmal]], [[Hemimean clan#Misty|misty]], [[Horwell temperaments|mutt]], [[Porwell temperaments|nessafof]], and [[Hemimage temperaments|chromat]]. | Landscape rank-two temperaments include sextile, septichrome, pnict, and domain. Considered elsewhere are [[Mirwomo temperaments|caleb]], [[Ragismic microtemperaments #Ennealimmal|ennealimmal]], [[Hemimean clan #Misty|misty]], [[Horwell temperaments #Mutt|mutt]], [[Porwell temperaments #Nessafof|nessafof]], and [[Hemimage temperaments #Chromat|chromat]]. | ||
= Sextile = | = Sextile = | ||
Revision as of 20:36, 26 April 2021
Landscape microtemperaments are rank two temperaments tempering out the landscape comma ([-4 6 -6 3⟩ = 250047/250000).
Landscape rank-two temperaments include sextile, septichrome, pnict, and domain. Considered elsewhere are caleb, ennealimmal, misty, mutt, nessafof, and chromat.
Sextile
Comma list: 250047/250000, 33554432/33480783
Mapping: [<6 0 71 150|, <0 1 -6 -14|]
Wedgie: <<6 -36 -84 -71 -150 -94||
POTE generator: ~3/2 = 702.212
Badness: 0.070097
11-limit
Comma list: 5632/5625, 9801/9800, 151263/151250
Mapping: [<6 0 71 150 230|, <0 1 -6 -14 -22|]
POTE generator: ~3/2 = 702.202
Vals: Template:Val list
Badness: 0.029677
Septichrome
Comma list: 250047/250000, 2460375/2458624
Mapping: [<3 3 1 0|, <0 5 17 24|]
Wedgie: <<15 51 72 46 72 24||
POTE generator: ~243/224 = 140.367
Badness: 0.016814
Pnict
Comma list: 250047/250000, 2100875/2097152
Mapping: [<3 10 11 6|, <0 -13 -10 6|]
Wedgie: <<39 30 -18 -43 -138 -126||
POTE generator: ~192/175 = 161.399
Badness: 0.045660
Domain
Comma list: 250047/250000, 645700815/645657712
Mapping: [<3 -3 -9 -8|, <0 17 35 36|]
Wedgie: <<-51 -105 -108 -48 -28 44||
POTE generator: ~10/9 = 182.467
Badness: 0.013979
Avicenna
Comma list: 250047/250000, 29360128/29296875
Mapping: [<3 2 8 16|, <0 8 -3 -22|]
Wedgie: <<24 -9 -66 -70 -172 -128||
POTE generator: ~1024/945 = 137.768
Badness: 0.062187
11-limit
Comma list: 3025/3024, 5632/5625, 102487/102400
Mapping: [<3 2 8 16 9|, <0 8 -3 -22 4|]
POTE generator: ~693/640 = 137.771
Vals: Template:Val list
Badness: 0.023085
13-limit
Comma list: 676/675, 1001/1000, 3025/3024, 4096/4095
Mapping: [<3 2 8 16 9 8|, <0 8 -3 -22 4 9|]
POTE generator: ~13/12 = 137.777
Vals: Template:Val list
Badness: 0.015557