Stearnsmic clan: Difference between revisions

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m Xenwolf moved page Stearnsmic temperaments to Stearnsmic clan: according to categorization on page Tour of Regular Temperaments#Clans defined by a 2.3.7 (za) comma and after agreement on talk page
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Stearnsmic temperaments temper out the stearnsma, the no-fives comma |1 10 0 -6> = 118098/117649. Sternismic temperaments not listed include [[Gravity_family#Harry|harry]], [[Marvel_temperaments#Wizard|wizard]], [[Schismatic_family#Pogo|pogo]], [[Porcupine_family#Hedgehog|hedgehog]], and [[Ragismic microtemperaments|octoid]].
Stearnsmic temperaments temper out the stearnsma, the no-fives comma {{monzo|1 10 0 -6}} = 118098/117649. Sternismic temperaments not listed include [[Gravity_family#Harry|harry]], [[Marvel_temperaments#Wizard|wizard]], [[Schismatic_family#Pogo|pogo]], [[Porcupine_family#Hedgehog|hedgehog]], and [[Ragismic microtemperaments|octoid]].


=Sternscape=
= Sternscape =
Commas: 118098/117649, 250047/250000
[[Comma list]]: 118098/117649, 250047/250000


POTE generator: ~245/243 = 16.942
[[Mapping]]: [{{val|6 3 2 6}}, {{val|0 6 11 10}}]


Map: [<6 3 2 6|, <0 6 11 10|]
{{Multival|legend=1| 36 66 60 21 -6 -46 }}


Wedgie: <<36 66 60 21 -6 -46||
[[POTE generator]]: ~245/243 = 16.942


EDOs: 72, 210, 282, 354
{{Val list|legend=1| 72, 210, 282, 354 }}


Badness: 0.0905
[[Badness]]: 0.090467


==11-limit==
== 11-limit ==
Commas: 540/539, 4000/3993, 137781/137500
Comma list: 540/539, 4000/3993, 137781/137500
 
Mapping: [{{val|6 3 2 6 11}}, {{val|0 6 11 10 9}}]


POTE generator: ~245/243 = 16.950
POTE generator: ~245/243 = 16.950


Map: [<6 3 2 6 11|, <0 6 11 10 9|]
Vals: {{Val list| 72, 282, 354 }}
 
Badness: 0.032096
 
= Garistearn =
The ''garistearn'' temperament (94&282, named by [[User:Xenllium|Xenllium]]) has a period of 1/94 octave and tempers out 118098/117649 and [[garischisma]], 33554432/33480783.
 
[[Comma list]]: 118098/117649, 33554432/33480783
 
[[Mapping]]: [{{val|94 149 0 264}}, {{val|0 0 1 0}}]
 
{{Multival|legend=1| 0 94 0 149 0 -264 }}
 
[[POTE generator]]: ~5/4 = 386.7805
 
{{Val list|legend=1| 94, 282, 658d, 940dd }}
 
[[Badness]]: 0.307043
 
== 11-limit ==
Comma list: 540/539, 4000/3993, 33554432/33480783
 
Mapping: [{{val|94 149 0 264 107}}, {{val|0 0 1 0 1}}]
 
POTE generator: ~5/4 = 386.5968
 
Vals: {{Val list| 94, 282, 376, 658de }}
 
Badness: 0.082255
 
== 13-limit ==
Comma list: 540/539, 729/728, 1575/1573, 28672/28561
 
Mapping: [{{val|94 149 0 264 107 348}}, {{val|0 0 1 0 1 0}}]
 
POTE generator: ~5/4 = 386.8141
 
Vals: {{Val list| 94, 282 }}
 
Badness: 0.045941
 
== 17-limit ==
Comma list: 540/539, 729/728, 1156/1155, 1575/1573, 2880/2873
 
Mapping: [{{val|94 149 0 264 107 348 166}}, {{val|0 0 1 0 1 0 1}}]
 
POTE generator: ~5/4 = 386.8420


EDOs: 72, 282, 354
Vals: {{Val list| 94, 282 }}


Badness: 0.0321
Badness: 0.027608


[[Category:Theory]]
[[Category:Theory]]
[[Category:Temperament clan]]
[[Category:Temperament clan]]

Revision as of 00:50, 1 May 2021

Stearnsmic temperaments temper out the stearnsma, the no-fives comma [1 10 0 -6⟩ = 118098/117649. Sternismic temperaments not listed include harry, wizard, pogo, hedgehog, and octoid.

Sternscape

Comma list: 118098/117649, 250047/250000

Mapping: [⟨6 3 2 6], ⟨0 6 11 10]]

Wedgie: ⟨⟨ 36 66 60 21 -6 -46 ]]

POTE generator: ~245/243 = 16.942

Template:Val list

Badness: 0.090467

11-limit

Comma list: 540/539, 4000/3993, 137781/137500

Mapping: [⟨6 3 2 6 11], ⟨0 6 11 10 9]]

POTE generator: ~245/243 = 16.950

Vals: Template:Val list

Badness: 0.032096

Garistearn

The garistearn temperament (94&282, named by Xenllium) has a period of 1/94 octave and tempers out 118098/117649 and garischisma, 33554432/33480783.

Comma list: 118098/117649, 33554432/33480783

Mapping: [⟨94 149 0 264], ⟨0 0 1 0]]

Wedgie: ⟨⟨ 0 94 0 149 0 -264 ]]

POTE generator: ~5/4 = 386.7805

Template:Val list

Badness: 0.307043

11-limit

Comma list: 540/539, 4000/3993, 33554432/33480783

Mapping: [⟨94 149 0 264 107], ⟨0 0 1 0 1]]

POTE generator: ~5/4 = 386.5968

Vals: Template:Val list

Badness: 0.082255

13-limit

Comma list: 540/539, 729/728, 1575/1573, 28672/28561

Mapping: [⟨94 149 0 264 107 348], ⟨0 0 1 0 1 0]]

POTE generator: ~5/4 = 386.8141

Vals: Template:Val list

Badness: 0.045941

17-limit

Comma list: 540/539, 729/728, 1156/1155, 1575/1573, 2880/2873

Mapping: [⟨94 149 0 264 107 348 166], ⟨0 0 1 0 1 0 1]]

POTE generator: ~5/4 = 386.8420

Vals: Template:Val list

Badness: 0.027608

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