Sensamagic clan: Difference between revisions

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== BPS ==

''BPS'', for ''Bohlen–Pierce–Stearns'', is the 3.5.7 subgroup temperament tempering out 245/243. This subgroup temperament was formerly called the ''lambda'' temperament, which was named after the [[4L 5s (tritave-equivalent)|lambda scale]].

BPS, for ''Bohlen–Pierce–Stearns'', is the 3.5.7-subgroup temperament tempering out 245/243. This subgroup temperament was formerly called the ''lambda'' temperament, which was named after the [[4L 5s (tritave-equivalent)|lambda scale]].

[[Subgroup]]: 3.5.7

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: sval mapping generators: ~3, ~9/7

[[Optimal tuning]] ([[POTE]]): ~3 = ~~1\1edt~~, ~9/7 = 440.4881

[[Optimal tuning]] ([[POTE]]): ~3 = 1901.9550, ~9/7 = 440.4881

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These temperaments are distributed into different family pages.

* [[Sensi]] (+126/125) → [[Sensipent family#Sensi|Sensipent family]]

* [[Sensi]] (+126/125) → [[Sensipent family #Sensi|Sensipent family]]

* ''[[Hedgehog]]'' (+50/49) → [[Porcupine family#Hedgehog|Porcupine family]]

* ''[[Hedgehog]]'' (+50/49) → [[Porcupine family #Hedgehog|Porcupine family]]

* ''[[Cohemiripple]]'' (+1323/1250) → [[Ripple family#Cohemiripple|Ripple family]]

* ''[[Cohemiripple]]'' (+1323/1250) → [[Ripple family #Cohemiripple|Ripple family]]

* ''[[Fourfives]]'' (+235298/234375) → [[Fifive family#Fourfives|Fifive family]]

* ''[[Fourfives]]'' (+235298/234375) → [[Fifive family #Fourfives|Fifive family]]

The others are weak extensions. Father tempers out [[16/15]], splitting the generator in two. Godzilla tempers out [[49/48]] with a hemitwelfth period. Sidi tempers out [[25/24]], splitting the generator in two with a hemitwelfth period. Clyde tempers out [[3136/3125]] with a 1/6-twelfth period. Superpyth tempers out [[64/63]], splitting the generator in six. Magic tempers out [[225/224]] with a 1/5-twelfth period. Octacot tempers out [[2401/2400]], splitting the generator in five. Hemiaug tempers out [[128/125]]. ~~Pental~~ tempers out [[16807/16384]]. These split the generator in seven. Bamity tempers out [[64827/64000]], splitting the generator in nine. Rodan tempers out [[1029/1024]], splitting the generator in ten. Shrutar tempers out [[2048/2025]], splitting the generator in eleven. Finally, escaped tempers out [[65625/65536]], splitting the generator in sixteen.

The others are weak extensions. Father tempers out [[16/15]], splitting the generator in two. Godzilla tempers out [[49/48]] with a hemitwelfth period. Sidi tempers out [[25/24]], splitting the generator in two with a hemitwelfth period. Clyde tempers out [[3136/3125]] with a 1/6-twelfth period. Superpyth tempers out [[64/63]], splitting the generator in six. Magic tempers out [[225/224]] with a 1/5-twelfth period. Octacot tempers out [[2401/2400]], splitting the generator in five. Hemiaug tempers out [[128/125]]. Pentacloud tempers out [[16807/16384]]. These split the generator in seven. Bamity tempers out [[64827/64000]], splitting the generator in nine. Rodan tempers out [[1029/1024]], splitting the generator in ten. Shrutar tempers out [[2048/2025]], splitting the generator in eleven. Finally, escaped tempers out [[65625/65536]], splitting the generator in sixteen.

Discussed elsewhere are

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* ''[[Octacot]]'' (+2401/2400) → [[Tetracot family #Octacot|Tetracot family]]

* ''[[Hemiaug]]'' (+128/125) → [[Augmented family #Hemiaug|Augmented family]]

* ''[[~~Pental (temperament)|Pental~~]]'' (+16807/16384) → [[~~Pental~~ family #~~Septimal pental~~|~~Pental~~ family]]

* ''[[Pentacloud]]'' (+16807/16384) → [[Quintile family #Pentacloud|Quintile family]]

* ''[[Bamity]]'' (+64827/64000) → [[Amity family #Bamity|Amity family]]

* [[Rodan]] (+1029/1024) → [[Gamelismic clan #Rodan|Gamelismic clan]]

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* ''[[Escaped]]'' (+65625/65536) → [[Escapade family #Escaped|Escapade family]]

For ''no-twos'' extensions, see [[No-twos subgroup temperaments#BPS]].

For ''no-twos'' extensions, see [[No-twos subgroup temperaments #BPS]].

Considered below are bohpier, salsa, pycnic, superthird, magus and leapweek.

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 == BPS ==
-{{Main|Bohlen–Pierce–Stearns}}
+{{Main| BPS }}
-''BPS'', for ''Bohlen–Pierce–Stearns'', is the 3.5.7 subgroup temperament tempering out 245/243. This subgroup temperament was formerly called the ''lambda'' temperament, which was named after the [[4L 5s (tritave-equivalent)|lambda scale]].
+BPS, for ''Bohlen–Pierce–Stearns'', is the 3.5.7-subgroup temperament tempering out 245/243. This subgroup temperament was formerly called the ''lambda'' temperament, which was named after the [[4L 5s (tritave-equivalent)|lambda scale]].
 [[Subgroup]]: 3.5.7
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 : sval mapping generators: ~3, ~9/7
-[[Optimal tuning]] ([[POTE]]): ~3 = 1\1edt, ~9/7 = 440.4881
+[[Optimal tuning]] ([[POTE]]): ~3 = 1901.9550, ~9/7 = 440.4881
 [[Optimal ET sequence]]: [[4edt|b4]], [[9edt|b9]], [[13edt|b13]], [[56edt|b56]], [[69edt|b69]], [[82edt|b82]], [[95edt|b95]]
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 These temperaments are distributed into different family pages.
-* [[Sensi]] (+126/125) → [[Sensipent family#Sensi|Sensipent family]]
+* [[Sensi]] (+126/125) → [[Sensipent family #Sensi|Sensipent family]]
-* ''[[Hedgehog]]'' (+50/49) → [[Porcupine family#Hedgehog|Porcupine family]]
+* ''[[Hedgehog]]'' (+50/49) → [[Porcupine family #Hedgehog|Porcupine family]]
-* ''[[Cohemiripple]]'' (+1323/1250) → [[Ripple family#Cohemiripple|Ripple family]]
+* ''[[Cohemiripple]]'' (+1323/1250) → [[Ripple family #Cohemiripple|Ripple family]]
-* ''[[Fourfives]]'' (+235298/234375) → [[Fifive family#Fourfives|Fifive family]]
+* ''[[Fourfives]]'' (+235298/234375) → [[Fifive family #Fourfives|Fifive family]]
-The others are weak extensions. Father tempers out [[16/15]], splitting the generator in two. Godzilla tempers out [[49/48]] with a hemitwelfth period. Sidi tempers out [[25/24]], splitting the generator in two with a hemitwelfth period. Clyde tempers out [[3136/3125]] with a 1/6-twelfth period. Superpyth tempers out [[64/63]], splitting the generator in six. Magic tempers out [[225/224]] with a 1/5-twelfth period. Octacot tempers out [[2401/2400]], splitting the generator in five. Hemiaug tempers out [[128/125]]. Pental tempers out [[16807/16384]]. These split the generator in seven. Bamity tempers out [[64827/64000]], splitting the generator in nine. Rodan tempers out [[1029/1024]], splitting the generator in ten. Shrutar tempers out [[2048/2025]], splitting the generator in eleven. Finally, escaped tempers out [[65625/65536]], splitting the generator in sixteen.
+The others are weak extensions. Father tempers out [[16/15]], splitting the generator in two. Godzilla tempers out [[49/48]] with a hemitwelfth period. Sidi tempers out [[25/24]], splitting the generator in two with a hemitwelfth period. Clyde tempers out [[3136/3125]] with a 1/6-twelfth period. Superpyth tempers out [[64/63]], splitting the generator in six. Magic tempers out [[225/224]] with a 1/5-twelfth period. Octacot tempers out [[2401/2400]], splitting the generator in five. Hemiaug tempers out [[128/125]]. Pentacloud tempers out [[16807/16384]]. These split the generator in seven. Bamity tempers out [[64827/64000]], splitting the generator in nine. Rodan tempers out [[1029/1024]], splitting the generator in ten. Shrutar tempers out [[2048/2025]], splitting the generator in eleven. Finally, escaped tempers out [[65625/65536]], splitting the generator in sixteen.
 Discussed elsewhere are
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 * ''[[Octacot]]'' (+2401/2400) → [[Tetracot family #Octacot|Tetracot family]]
 * ''[[Hemiaug]]'' (+128/125) → [[Augmented family #Hemiaug|Augmented family]]
-* ''[[Pental (temperament)|Pental]]'' (+16807/16384) → [[Pental family #Septimal pental|Pental family]]
+* ''[[Pentacloud]]'' (+16807/16384) → [[Quintile family #Pentacloud|Quintile family]]
 * ''[[Bamity]]'' (+64827/64000) → [[Amity family #Bamity|Amity family]]
 * [[Rodan]] (+1029/1024) → [[Gamelismic clan #Rodan|Gamelismic clan]]
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 * ''[[Escaped]]'' (+65625/65536) → [[Escapade family #Escaped|Escapade family]]
-For ''no-twos'' extensions, see [[No-twos subgroup temperaments#BPS]].
+For ''no-twos'' extensions, see [[No-twos subgroup temperaments #BPS]].
 Considered below are bohpier, salsa, pycnic, superthird, magus and leapweek.