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'''Landscape microtemperaments''' are rank-2 temperaments tempering out the [[landscape comma]] ({{Monzo| -4 6 -6 3 }} = 250047/250000).
'''Landscape microtemperaments''' are [[Rank-2 temperament|rank-2]] [[temperament]]s [[tempering out]] the [[landscape comma]] ({{monzo| -4 6 -6 3 }} = 250047/250000).


Landscape rank-2 temperaments considered elsewhere are:  
Landscape rank-2 temperaments discussed elsewhere are:  
* [[Augene]], {64/63, 126/125} → [[Augmented family #Augene|Augmented family]]
* [[Augene]] (+64/63 or 126/125) → [[Augmented family #Augene|Augmented family]]
* ''[[Waage]]'', {225/224, 250047/250000} → [[Compton family #Compton|Compton family]]
* ''[[Waage]]'' (+225/224) → [[Compton family #Compton|Compton family]]
* ''[[Tritikleismic]]'', {1029/1024, 15625/15552} → [[Kleismic family #Tritikleismic|Kleismic family]]
* ''[[Tritikleismic]]'' (+1029/1024) → [[Kleismic family #Tritikleismic|Kleismic family]]
* ''[[Trisensory]]'', {1728/1715, 78732/78125} → [[Sensipent family #Trisensory|Sensipent family]]
* ''[[Trisensory]]' (+1728/1715) → [[Sensipent family #Trisensory|Sensipent family]]
* [[Ennealimmal]], {2401/2400, 4375/4374} → [[Ragismic microtemperaments #Ennealimmal|Ragismic microtemperaments]]
* [[Ennealimmal]] (+2401/2400 or 4375/4374) → [[Ragismic microtemperaments #Ennealimmal|Ragismic microtemperaments]]
* ''[[Misty]]'', {3136/3125, 5120/5103} → [[Misty family]]
* ''[[Misty]]'' (+3136/3125 or 5120/5103) → [[Misty family]]
* ''[[Nessafof]]'', {6144/6125, 250047/250000} → [[Porwell temperaments #Nessafof|Porwell temperaments]]
* ''[[Nessafof]]'' (+6144/6125) → [[Porwell temperaments #Nessafof|Porwell temperaments]]
* ''[[Chromat]]'', {10976/10935, 235298/234375} → [[Hemimage temperaments #Chromat|Hemimage temperaments]]
* ''[[Chromat]]'' (10976/10935) → [[Hemimage temperaments #Chromat|Hemimage temperaments]]
* ''[[Term]]'', {32805/32768, 250047/250000} → [[Schismatic family #Term|Schismatic family]]
* ''[[Term]]'' (+32805/32768) → [[Schismatic family #Term|Schismatic family]]
* ''[[Caleb]]'', {33075/32768, 250047/250000} → [[Mirwomo temperaments #Caleb|Mirwomo temperaments]]
* ''[[Caleb]]'' (+33075/32768) → [[Mirwomo temperaments #Caleb|Mirwomo temperaments]]
* [[Mutt temperament|Mutt]], {65625/65536, 250047/250000} → [[Horwell temperaments #Mutt|Horwell temperaments]]
* [[Mutt temperament|Mutt]] (+65625/65536) → [[Horwell temperaments #Mutt|Horwell temperaments]]
* ''[[Stearnscape]]'', {118098/117649, 250047/250000} → [[Stearnsmic clan #Stearnscape|Stearnsmic clan]]
* ''[[Stearnscape]]'' (+118098/117649) → [[Stearnsmic clan #Stearnscape|Stearnsmic clan]]
* ''[[Tritricot]]'', {250047/250000, 11785390260224/11767897353375} → [[Tricot family #Tritricot|Tricot family]]
* ''[[Tritricot]]'' (+11785390260224/11767897353375) → [[Tricot family #Tritricot|Tricot family]]
* ''[[Noletaland]]'', → [[The Flashmob]]
 
Discussed below are sextile, septichrome, pnict, domain, avicenna, terture, akjayland and terture.
Considered below are sextile, septichrome, pnict, domain, avicenna, terture, akjayland and terture.


== Sextile ==
== Sextile ==
Line 23: Line 23:
[[Comma list]]: 250047/250000, 33554432/33480783
[[Comma list]]: 250047/250000, 33554432/33480783


[[Mapping]]: [{{val| 6 0 71 150 }}, {{val| 0 1 -6 -14 }}]
{{Mapping|legend=1| 6 0 71 150 | 0 1 -6 -14 }}


Mapping generators: ~4096/3645, ~3
: mapping generators: ~4096/3645, ~3


{{Multival|legend=1| 6 -36 -84 -71 -150 -94 }}
{{Multival|legend=1| 6 -36 -84 -71 -150 -94 }}
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Comma list: 5632/5625, 9801/9800, 151263/151250
Comma list: 5632/5625, 9801/9800, 151263/151250


Mapping: [{{val| 6 0 71 150 230 }}, {{val| 0 1 -6 -14 -22 }}]
Mapping: {{mapping| 6 0 71 150 230 | 0 1 -6 -14 -22 }}


Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2225
Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2225
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Comma list: 1716/1715, 2080/2079, 5632/5625, 10648/10647
Comma list: 1716/1715, 2080/2079, 5632/5625, 10648/10647


Mapping: [{{val| 6 0 71 150 230 279 }}, {{val| 0 1 -6 -14 -22 -27 }}]
Mapping: {{mapping| 6 0 71 150 230 279 | 0 1 -6 -14 -22 -27 }}


Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2141
Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2141
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Comma list: 936/935, 1701/1700, 1716/1715, 5632/5625, 7744/7735
Comma list: 936/935, 1701/1700, 1716/1715, 5632/5625, 7744/7735


Mapping: [{{val| 6 0 71 150 230 279 -4 }}, {{val| 0 1 -6 -14 -22 -27 3 }}]
Mapping: {{mapping| 6 0 71 150 230 279 -4 | 0 1 -6 -14 -22 -27 3 }}


Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2117
Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2117
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Comma list: 936/935, 1216/1215, 1701/1700, 1716/1715, 2376/2375, 4200/4199
Comma list: 936/935, 1216/1215, 1701/1700, 1716/1715, 2376/2375, 4200/4199


Mapping: [{{val| 6 0 71 150 230 279 -4 35 }}, {{val| 0 1 -6 -14 -22 -27 3 -1 }}]
Mapping: {{mapping| 6 0 71 150 230 279 -4 35 | 0 1 -6 -14 -22 -27 3 -1 }}


Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2118
Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2118
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Comma list: 1001/1000, 4096/4095, 4459/4455, 20449/20412
Comma list: 1001/1000, 4096/4095, 4459/4455, 20449/20412


Mapping: [{{val| 6 0 71 150 230 -149 }}, {{val| 0 1 -6 -14 -22 18 }}]
Mapping: {{mapping| 6 0 71 150 230 -149 | 0 1 -6 -14 -22 18 }}


Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2296
Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2296
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Comma list: 715/714, 1001/1000, 1701/1700, 4096/4095, 4459/4455
Comma list: 715/714, 1001/1000, 1701/1700, 4096/4095, 4459/4455


Mapping: [{{val| 6 0 71 150 230 -149 -4 }}, {{val| 0 1 -6 -14 -22 18 3 }}]
Mapping: {{mapping| 6 0 71 150 230 -149 -4 | 0 1 -6 -14 -22 18 3 }}


Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2264
Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2264
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Comma list: 715/714, 1001/1000, 1216/1215, 1701/1700, 1729/1728, 2912/2907
Comma list: 715/714, 1001/1000, 1216/1215, 1701/1700, 1729/1728, 2912/2907


Mapping: [{{val| 6 0 71 150 230 -149 -4 35 }}, {{val| 0 1 -6 -14 -22 18 3 -1 }}]
Mapping: {{mapping| 6 0 71 150 230 -149 -4 35 | 0 1 -6 -14 -22 18 3 -1 }}


Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2266
Optimal tuning (CTE): ~55/49 = 1\6, ~3/2 = 702.2266
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[[Comma list]]: 250047/250000, 2460375/2458624
[[Comma list]]: 250047/250000, 2460375/2458624


[[Mapping]]: [{{val| 3 3 1 0 }}, {{val| 0 5 17 24 }}]
{{Mapping|legend=1| 3 3 1 0 | 0 5 17 24 }}


{{Multival|legend=1| 15 51 72 46 72 24 }}
{{Multival|legend=1| 15 51 72 46 72 24 }}
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== Pnict ==
== Pnict ==
Subgroup: 2.3.5.7
[[Subgroup]]: 2.3.5.7


[[Comma list]]: 250047/250000, 2100875/2097152
[[Comma list]]: 250047/250000, 2100875/2097152


[[Mapping]]: [{{val| 3 10 11 6 }}, {{val| 0 -13 -10 6 }}]
{{Mapping|legend=1| 3 10 11 6 | 0 -13 -10 6 }}


{{Multival|legend=1| 39 30 -18 -43 -138 -126 }}
{{Multival|legend=1| 39 30 -18 -43 -138 -126 }}
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== Domain ==
== Domain ==
{{see also| Minortonic family }}
{{See also| Minortonic family }}


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7
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[[Comma list]]: 250047/250000, 645700815/645657712
[[Comma list]]: 250047/250000, 645700815/645657712


[[Mapping]]: [{{val| 3 -3 -9 -8 }}, {{val| 0 17 35 36 }}]
{{Mapping|legend=1| 3 -3 -9 -8 | 0 17 35 36 }}


{{Multival|legend=1| 51 105 108 48 28 -44 }}
{{Multival|legend=1| 51 105 108 48 28 -44 }}
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[[Comma list]]: 250047/250000, 29360128/29296875
[[Comma list]]: 250047/250000, 29360128/29296875


[[Mapping]]: [{{val|3 2 8 16}}, {{val|0 8 -3 -22}}]
{{Mapping|legend=1| 3 2 8 16 | 0 8 -3 -22 }}


{{Multival|legend=1| 24 -9 -66 -70 -172 -128 }}
{{Multival|legend=1| 24 -9 -66 -70 -172 -128 }}
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Comma list: 3025/3024, 5632/5625, 102487/102400
Comma list: 3025/3024, 5632/5625, 102487/102400


Mapping: [{{val|3 2 8 16 9}}, {{val|0 8 -3 -22 4}}]
Mapping: {{mapping| 3 2 8 16 9 | 0 8 -3 -22 4 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~693/640 = 137.771
Optimal tuning (POTE): ~63/50 = 1\3, ~693/640 = 137.771
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Comma list: 676/675, 1001/1000, 3025/3024, 4096/4095
Comma list: 676/675, 1001/1000, 3025/3024, 4096/4095


Mapping: [{{val|3 2 8 16 9 8}}, {{val|0 8 -3 -22 4 9}}]
Mapping: {{mapping| 3 2 8 16 9 8 | 0 8 -3 -22 4 9 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.777
Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.777
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Comma list: 676/675, 715/714, 1001/1000, 3025/3024, 4096/4095
Comma list: 676/675, 715/714, 1001/1000, 3025/3024, 4096/4095


Mapping: [{{val|3 2 8 16 9 8 4}}, {{val|0 8 -3 -22 4 9 24}}]
Mapping: {{mapping| 3 2 8 16 9 8 4 | 0 8 -3 -22 4 9 24 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.777
Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.777
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Comma list: 676/675, 715/714, 1001/1000, 1216/1215, 3025/3024, 4096/4095
Comma list: 676/675, 715/714, 1001/1000, 1216/1215, 3025/3024, 4096/4095


Mapping: [{{val|3 2 8 16 9 8 4 0}}, {{val|0 8 -3 -22 4 9 24 37}}]
Mapping: {{mapping| 3 2 8 16 9 8 4 0 | 0 8 -3 -22 4 9 24 37 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.777
Optimal tuning (POTE): ~63/50 = 1\3, ~13/12 = 137.777
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[[Comma list]]: 250047/250000, 359661568/358722675
[[Comma list]]: 250047/250000, 359661568/358722675


[[Mapping]]: [{{val| 3 4 3 2 }}, {{val| 0 4 21 34 }}]
{{Mapping|legend=1| 3 4 3 2 | 0 4 21 34 }}


[[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~392/375 = 75.555
[[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~392/375 = 75.555
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Comma list: 3025/3024, 19712/19683, 102487/102400
Comma list: 3025/3024, 19712/19683, 102487/102400


Mapping: [{{val| 3 4 3 2 10 }}, {{val| 0 4 21 34 2 }}]
Mapping: {{mapping| 3 4 3 2 10 | 0 4 21 34 2 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~392/375 = 75.550
Optimal tuning (POTE): ~63/50 = 1\3, ~392/375 = 75.550
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Comma list: 676/675, 1001/1000, 3025/3024, 10985/10976
Comma list: 676/675, 1001/1000, 3025/3024, 10985/10976


Mapping: [{{val| 3 4 3 2 10 6 }}, {{val| 0 4 21 34 2 27 }}]
Mapping: {{mapping| 3 4 3 2 10 6 | 0 4 21 34 2 27 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~117/112 = 75.553
Optimal tuning (POTE): ~63/50 = 1\3, ~117/112 = 75.553
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Comma list: 676/675, 715/714, 936/935, 1001/1000, 4928/4913
Comma list: 676/675, 715/714, 936/935, 1001/1000, 4928/4913


Mapping: [{{val| 3 4 3 2 10 6 10 }}, {{val| 0 4 21 34 2 27 12 }}]
Mapping: {{mapping| 3 4 3 2 10 6 10 | 0 4 21 34 2 27 12 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~117/112 = 75.560
Optimal tuning (POTE): ~63/50 = 1\3, ~117/112 = 75.560
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Comma list: 676/675, 715/714, 936/935, 1001/1000, 1216/1215, 1617/1615
Comma list: 676/675, 715/714, 936/935, 1001/1000, 1216/1215, 1617/1615


Mapping: [{{val| 3 4 3 2 10 6 10 5 }}, {{val| 0 4 21 34 2 27 12 41 }}]
Mapping: {{mapping| 3 4 3 2 10 6 10 5 | 0 4 21 34 2 27 12 41 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~95/91 = 75.560
Optimal tuning (POTE): ~63/50 = 1\3, ~95/91 = 75.560
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Comma list: 460/459, 529/528, 676/675, 715/714, 936/935, 1001/1000, 1216/1215
Comma list: 460/459, 529/528, 676/675, 715/714, 936/935, 1001/1000, 1216/1215


Mapping: [{{val| 3 4 3 2 10 6 10 5 13 }}, {{val| 0 4 21 34 2 27 12 41 3 }}]
Mapping: {{mapping| 3 4 3 2 10 6 10 5 13 | 0 4 21 34 2 27 12 41 3 }}


Optimal tuning (POTE): ~63/50 = 1\3, ~24/23 = 75.548
Optimal tuning (POTE): ~63/50 = 1\3, ~24/23 = 75.548
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{{See also| 21st-octave temperaments }}
{{See also| 21st-octave temperaments }}


''Akjayland'' tempers out the [[akjaysma]] in addition to landscape comma, and thereby features a period of 1\21.  
Akjayland tempers out the [[akjaysma]] in addition to landscape comma, and thereby features a period of 1\21.  


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7
Line 329: Line 329:
[[Comma list]]: 250047/250000, {{monzo| 43 -1 -13 -4 }}
[[Comma list]]: 250047/250000, {{monzo| 43 -1 -13 -4 }}


[[Mapping]]: [{{val| 21 1 38 102 }}, {{val| 0 3 1 -4 }}]
{{Mapping|legend=1| 21 1 38 102 | 0 3 1 -4 }}


Mapping generators: ~1323/1280, ~131072/91875
: mapping generators: ~1323/1280, ~131072/91875


[[Optimal tuning]] ([[CTE]]): ~1323/1280 = 1\21, ~131072/91875 = 614.9354
[[Optimal tuning]] ([[CTE]]): ~1323/1280 = 1\21, ~131072/91875 = 614.9354
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Comma list: 3025/3024, 102487/102400, {{monzo| 39 -4 -11 -5 2 }}
Comma list: 3025/3024, 102487/102400, {{monzo| 39 -4 -11 -5 2 }}


Mapping: [{{val| 21 4 39 98 58 }}, {{val| 0 6 2 -8 3 3 }}]
Mapping: {{mapping| 21 4 39 98 58 | 0 6 2 -8 3 3 }}


Mapping generators: ~1323/1280, ~6615/5632
Mapping generators: ~1323/1280, ~6615/5632
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Comma list: 3025/3024, 4096/4095, 14641/14625, 85750/85683
Comma list: 3025/3024, 4096/4095, 14641/14625, 85750/85683


Mapping: [{{val| 21 4 39 98 58 107 }}, {{val| 0 6 2 -8 3 -6 }}]
Mapping: {{mapping| 21 4 39 98 58 107 | 0 6 2 -8 3 -6 }}


Optimal tuning (CTE): ~336/325 = 1\21, ~168/143 = 278.9058
Optimal tuning (CTE): ~336/325 = 1\21, ~168/143 = 278.9058
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Comma list: 2601/2600, 3025/3024, 4096/4095, 8624/8619, 14641/14625
Comma list: 2601/2600, 3025/3024, 4096/4095, 8624/8619, 14641/14625


Mapping: [{{val| 21 4 39 98 58 107 120 }}, {{val| 0 6 2 -8 3 -6 -7 }}]
Mapping: {{mapping| 21 4 39 98 58 107 120 | 0 6 2 -8 3 -6 -7 }}


Optimal tuning (CTE): ~336/325 = 1\21, ~168/143 = 278.9036
Optimal tuning (CTE): ~336/325 = 1\21, ~168/143 = 278.9036
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Comma list: 2376/2375, 2601/2600, 2926/2925, 3025/3024, 3213/3211, 4096/4095
Comma list: 2376/2375, 2601/2600, 2926/2925, 3025/3024, 3213/3211, 4096/4095


Mapping: [{{val| 21 4 39 98 58 107 120 16 }}, {{val| 0 6 2 -8 3 -6 -7 15 }}]
Mapping: {{mapping| 21 4 39 98 58 107 120 16 | 0 6 2 -8 3 -6 -7 15 }}


Optimal tuning (CTE): ~336/325 = 1\21, ~168/143 = 278.9036
Optimal tuning (CTE): ~336/325 = 1\21, ~168/143 = 278.9036
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Comma list: 1496/1495, 2376/2375, 2601/2600, 2646/2645, 2926/2925, 3025/3024, 3213/3211
Comma list: 1496/1495, 2376/2375, 2601/2600, 2646/2645, 2926/2925, 3025/3024, 3213/3211


Mapping: [{{val| 21 4 39 98 58 107 120 16 95 }}, {{val| 0 -6 -2 8 -3 6 7 -15 0 }}]
Mapping: {{mapping| 21 4 39 98 58 107 120 16 95 | 0 -6 -2 8 -3 6 7 -15 0 }}


Optimal tuning (CTE): ~336/325 = 1\21, ~168/143 = 278.8971
Optimal tuning (CTE): ~336/325 = 1\21, ~168/143 = 278.8971
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== Magnesium ==
== Magnesium ==
: ''For the 5-limit version, see [[12th-octave temperaments#Magnesium (5-limit)]].
: ''For the 5-limit version, see [[12th-octave temperaments#Magnesium (5-limit)]].
Magnesium is named after element 12 for being period 12, however, it's not an extension of the [[atomic]] - the associated comma is {{monzo|-157 -24 84}} in the 5-limit and the 7 generators together with [[12edo]] major second reach the just perfect fifth, [[3/2]].
Magnesium is named after element 12 for being period 12, however, it's not an extension of the [[atomic]] - the associated comma is {{monzo|-157 -24 84}} in the 5-limit and the 7 generators together with [[12edo]] major second reach the just perfect fifth, [[3/2]].


Subgroup: 2.3.5.7
[[Subgroup]]: 2.3.5.7


Comma list: 250047/250000, 9234096523681640625/9223372036854775808
[[Comma list]]: 250047/250000, 9234096523681640625/9223372036854775808


Mapping: [{{val|12 2 23 58}}, {{val|0 7 2 -10}}]
{{Mapping|legend=1| 12 2 23 58 | 0 7 2 -10 }}


Mapping generators: ~138915/131072 = 1\12, 3145728/2734375 = 243.130
: mapping generators: ~138915/131072, 3145728/2734375


Optimal tuning (CTE): 3145728/2734375 = 243.130
Optimal tuning (CTE): ~138915/131072 = 1\12, ~3145728/2734375 = 243.130


{{Optimal ET sequence|legend=1|84, 528, 612, 696, 1308, 1920, 2532}}, ...
{{Optimal ET sequence|legend=1| 84, 528, 612, 696, 1308, 1920, 2532 }}, ...


== Chromium ==
== Chromium ==
Line 431: Line 432:
[[Comma list]]: 250047/250000, 49589822592/49433168575
[[Comma list]]: 250047/250000, 49589822592/49433168575


[[Mapping]]: [{{val| 24 1 -6 18 }}, {{val| 0 3 5 4 }}]
{{Mapping|legend=1| 24 1 -6 18 | 0 3 5 4 }}


Mapping generators: ~250/243, ~10/7
: mapping generators: ~250/243, ~10/7


[[Optimal tuning]] ([[CTE]]): ~250/243 = 1\24, ~10/7 = 617.2710
[[Optimal tuning]] ([[CTE]]): ~250/243 = 1\24, ~10/7 = 617.2710
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Comma list: 9801/9800, 46656/46585, 250047/250000
Comma list: 9801/9800, 46656/46585, 250047/250000


Mapping: [{{val| 24 1 -6 18 46 }}, {{val| 0 3 5 4 3 }}]
Mapping: {{mapping| 24 1 -6 18 46 | 0 3 5 4 3 }}


Optimal tuning (CTE): ~250/243 = 1\24, ~10/7 = 617.2597
Optimal tuning (CTE): ~250/243 = 1\24, ~10/7 = 617.2597
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Comma list: 1716/1715, 2080/2079, 34398/34375, 39366/39325
Comma list: 1716/1715, 2080/2079, 34398/34375, 39366/39325


Mapping: [{{val| 24 1 -6 18 46 -47 -13 }}, {{val| 0 3 5 4 3 11 }}]
Mapping: {{mapping| 24 1 -6 18 46 -47 -13 | 0 3 5 4 3 11 }}


Optimal tuning (CTE): ~250/243 = 1\24, ~10/7 = 617.2869
Optimal tuning (CTE): ~250/243 = 1\24, ~10/7 = 617.2869
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Comma list: 936/935, 1701/1700, 1716/1715, 2025/2023, 11016/11011
Comma list: 936/935, 1701/1700, 1716/1715, 2025/2023, 11016/11011


Mapping: [{{val| 24 1 -6 18 46 -47 -13 }}, {{val| 0 3 5 4 3 11 9 }}]
Mapping: {{mapping| 24 1 -6 18 46 -47 -13 | 0 3 5 4 3 11 9 }}


Optimal tuning (CTE): ~35/34 = 1\24, ~10/7 = 617.2732
Optimal tuning (CTE): ~35/34 = 1\24, ~10/7 = 617.2732
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Zinc is described as the 270 & 1920 temperament, and named after the 30th element due to featuring a period of 1/30 octave.
Zinc is described as the 270 & 1920 temperament, and named after the 30th element due to featuring a period of 1/30 octave.


Subgroup: 2.3.5.7
[[Subgroup]]: 2.3.5.7


Comma list: 250047/250000, {{monzo|-45 -24 14 18}}
[[Comma list]]: 250047/250000, {{monzo| -45 -24 14 18 }}


Mapping: [{{val|30 2 15 66}}, {{val|0 5 6 2}}]
{{Mapping|legend=1| 30 2 15 66 | 0 5 6 2 }}


Optimal tuning (CTE): ~53747712/52521875 = 1\30, ~216/175 = 364.389
[[Optimal tuning]] ([[CTE]]): ~53747712/52521875 = 1\30, ~216/175 = 364.389


{{Optimal ET sequence|legend=1|270, 1110, 1380, 1650, 1920}}, ...
{{Optimal ET sequence|legend=1|270, 1110, 1380, 1650, 1920}}, ...
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Comma list: 9801/9800, 250047/250000, 97869261875/97844723712
Comma list: 9801/9800, 250047/250000, 97869261875/97844723712


Mapping: [{{val|30 2 15 66 122}}, {{val|0 5 6 2 -2}}]
Mapping: {{mapping| 30 2 15 66 122 | 0 5 6 2 -2 }}


Optimal tuning (CTE): ~18865/18432 = 1\30, ~216/175 = 364.389
Optimal tuning (CTE): ~18865/18432 = 1\30, ~216/175 = 364.389
Line 509: Line 510:
Comma list: 9801/9800, 123201/123200, 250047/250000, 1990656/1990625
Comma list: 9801/9800, 123201/123200, 250047/250000, 1990656/1990625


Mapping: [{{val|30 2 15 66 122 193}}, {{val|0 5 6 2 -2 -9}}]
Mapping: {{mapping| 30 2 15 66 122 193 | 0 5 6 2 -2 -9 }}


Optimal tuning (CTE): ~351/343 = 1\30, ~216/175 = 364.389
Optimal tuning (CTE): ~351/343 = 1\30, ~216/175 = 364.389


{{Optimal ET sequence|legend=1|270, 1380, 1650, 1920}}, ...
{{Optimal ET sequence|legend=1|270, 1380, 1650, 1920}}, ...
[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Landscape microtemperaments| ]] <!-- main article -->
[[Category:Landscape microtemperaments| ]] <!-- main article -->
[[Category:Landscape| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Microtemperaments]]
[[Category:Microtemperaments]]
[[Category:Rank 2]]
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