Landscape microtemperaments: Difference between revisions

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__FORCETOC__
'''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]], |-4 6 -6 3> = 250047/250000.
Landscape rank-two temperaments include sextile, septichrome, pnict, and domain. Considered elsewhere are [[ennealimmal]], [[Hemimean clan#Misty|misty]], [[nessafof]], and [[chromat]].
 
Landscape rank-two temperaments include sextile, septichrome, pnict, and domain. Considered elsewhere are [[Ragismic microtemperaments|ennealimmal]], [[Hemimean clan|misty]], [[Porwell temperaments|nessafof]], and [[Hemimage temperaments|chromat]].


=Sextile=
=Sextile=
Line 14: Line 12:
Wedgie: <<6 -36 -84 -71 -150 -94||
Wedgie: <<6 -36 -84 -71 -150 -94||


EDOs: 12, 258, 270, 1362c, 1632c, 1902c, 2172c
{{EDOs|legend=1| 12, 258, 270, 1362c, 1632c, 1902c, 2172c }}


Badness: 0.070
Badness: 0.070
Line 25: Line 23:
Map: [<6 0 71 150 230|, <0 1 -6 -14 -22|]
Map: [<6 0 71 150 230|, <0 1 -6 -14 -22|]


EDOs: 12, 270, 822, 1092
{{EDOs|legend=1| 12, 270, 822, 1092 }}


Badness: 0.0297
Badness: 0.0297
Line 38: Line 36:
Wedgie: <<15 51 72 46 72 24||
Wedgie: <<15 51 72 46 72 24||


EDOs: 60, 111, 171, 795, 966, 1137, 1308, 5403b, 6711b
{{EDOs|legend=1| 60, 111, 171, 795, 966, 1137, 1308, 5403b, 6711b }}


Badness: 0.0168
Badness: 0.0168
Line 51: Line 49:
Wedgie: <<39 30 -18 -43 -138 -126||
Wedgie: <<39 30 -18 -43 -138 -126||


EDOs: 15, 141, 156, 171
{{EDOs|legend=1| 15, 141, 156, 171 }}


Badness: 0.0457
Badness: 0.0457
Line 64: Line 62:
Wedgie: <<-51 -105 -108 -48 -28 44||
Wedgie: <<-51 -105 -108 -48 -28 44||


EDOs: 171, 1335, 1506, 1677, 1848, 2019, 2190
{{EDOs|legend=1| 171, 1335, 1506, 1677, 1848, 2019, 2190 }}


[[Category:Microtemperament]]
[[Category:Microtemperament]]
[[Category:Landscape]]
[[Category:Landscape]]

Revision as of 19:59, 25 December 2020

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 ennealimmal, misty, nessafof, and chromat.

Sextile

Commas: 250047/250000, 33554432/33480783

POTE generator: ~3/2 = 702.212

Map: [<6 0 71 150|, <0 1 -6 -14|]

Wedgie: <<6 -36 -84 -71 -150 -94||

EDOs: 12, 258, 270, 1362c, 1632c, 1902c, 2172c

Badness: 0.070

11-limit

Commas: 5632/5625, 9801/9800, 151263/151250

POTE generator: ~3/2 = 702.202

Map: [<6 0 71 150 230|, <0 1 -6 -14 -22|]

EDOs: 12, 270, 822, 1092

Badness: 0.0297

Septichrome

Commas: 250047/250000, 2460375/2458624

POTE generator: ~243/224 = 140.367

Map: [<3 3 1 0|, <0 5 17 24|]

Wedgie: <<15 51 72 46 72 24||

EDOs: 60, 111, 171, 795, 966, 1137, 1308, 5403b, 6711b

Badness: 0.0168

Pnict

Commas: 250047/250000, 2100875/2097152

POTE generator: ~192/175 = 161.399

Map: [<3 10 11 6|, <0 -13 -10 6|]

Wedgie: <<39 30 -18 -43 -138 -126||

EDOs: 15, 141, 156, 171

Badness: 0.0457

Domain

Commas: 250047/250000, 645700815/645657712

POTE generator: ~10/9 = 182.467

Map: [<3 -3 -9 -8|, <0 17 35 36|]

Wedgie: <<-51 -105 -108 -48 -28 44||

EDOs: 171, 1335, 1506, 1677, 1848, 2019, 2190

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