Semaphoresmic clan: Difference between revisions

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= Wilsec =
= Wilsec =
Commas: 49/48, 121/120, 225/224
Comma list: 49/48, 121/120, 225/224


POTE generator: ~11/8 = 537.186
POTE generator: ~11/8 = 537.186


Map: [<1 6 -1 5 4|, <0 -8 6 -4 -1|]
Mapping: [{{val| 1 6 -1 5 4 }}, {{val| 0 -8 6 -4 -1 }}]


EDOs: 9, 20, 29, 38d, 67cde
{{Val list|legend=1| 9, 20, 29, 38d, 67cde }}


Badness: 0.0419
Badness: 0.0419


== 13-limit ==
== 13-limit ==
Commas: 49/48, 65/64, 91/90, 121/120
Comma list: 49/48, 65/64, 91/90, 121/120


POTE generator: ~11/8 = 537.208
POTE generator: ~11/8 = 537.208


Map: [<1 6 -1 5 4 7|, <0 -8 6 -4 -1 -6|]
Mapping: [{{val| 1 6 -1 5 4 7 }}, {{val| 0 -8 6 -4 -1 -6 }}]


EDOs: 9, 20, 29, 38df, 67cdef
{{Val list|legend=1| 9, 20, 29, 38df, 67cdef }}


Badness: 0.0252
Badness: 0.0252


== 17-limit ==
== 17-limit ==
Commas: 49/48, 65/64, 91/90, 121/120, 154/153
Comma list: 49/48, 65/64, 91/90, 121/120, 154/153


POTE generator: ~11/8 = 537.230
POTE generator: ~11/8 = 537.230


Map: [<1 6 -1 5 4 7 -2|, <0 -8 6 -4 -1 -6 11|]
Mapping: [{{val| 1 6 -1 5 4 7 -2 }}, {{val| 0 -8 6 -4 -1 -6 11 }}]


EDOs: 9, 29g, 38df, 67cdefg
{{Val list|legend=1| 9, 29g, 38df, 67cdefg }}


Badness: 0.0218
Badness: 0.0218


== 19-limit ==
== 19-limit ==
Commas: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153
Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153


POTE generator: ~11/8 = 537.214
POTE generator: ~11/8 = 537.214


Map: [<1 6 -1 5 4 7 -2 7|, <0 -8 6 -4 -1 -6 11 -5|]
Mapping: [{{val| 1 6 -1 5 4 7 -2 7 }}, {{val| 0 -8 6 -4 -1 -6 11 -5 }}]


EDOs: 9, 29g, 38df, 67cdefgh
{{Val list|legend=1| 9, 29g, 38df, 67cdefgh }}


Badness: 0.0168
Badness: 0.0168


= Nuke =
= Nuke =
Commas: 49/48, 66/65, 77/75, 448/429
Comma list: 49/48, 66/65, 77/75, 448/429


POTE generator: ~14/13 = 81.024
POTE generator: ~14/13 = 81.024


Map: [<1 2 2 3 3 4|, <0 -6 5 -3 7 -4|]
Mapping: [{{val| 1 2 2 3 3 4 }}, {{val| 0 -6 5 -3 7 -4 }}]


EDOs: 14e, 15, 44cdef
{{Val list|legend=1| 14e, 15, 44cdef }}


Badness: 0.0486
Badness: 0.0486
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{{see also| Mint temperaments #Ripple }}
{{see also| Mint temperaments #Ripple }}


Commas: 49/48, 6561/6250
Comma list: 49/48, 6561/6250


POTE generator: ~21/20 = 50.826
POTE generator: ~21/20 = 50.826


Map: [<1 2 3 3|, <0 -10 -16 -5|]
Mapping: [{{val| 1 2 3 3 }}, {{val| 0 -10 -16 -5 }}]


Wedgie: <<10 16 5 2 -20 -33||
Wedgie: {{wedgie| 10 16 5 2 -20 -33 }}


EDOs: 23d, 24, 47d, 71bd
{{Val list|legend=1| 23d, 24, 47d, 71bd }}


Badness: 0.1751
Badness: 0.1751


== 11-limit ==
== 11-limit ==
Commas: 49/48, 121/120, 567/550
Comma list: 49/48, 121/120, 567/550


POTE generator: ~21/20 = 50.826
POTE generator: ~21/20 = 50.826


Map: [<1 2 3 3 4|, <0 -10 -16 -5 -13|]
Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -10 -16 -5 -13 }}]


EDOs: 23de, 24, 47de, 71bde
{{Val list|legend=1| 23de, 24, 47de, 71bde }}


Badness: 0.0668
Badness: 0.0668


== 13-limit ==
== 13-limit ==
Commas: 49/48, 66/65, 121/120, 351/350
Comma list: 49/48, 66/65, 121/120, 351/350


POTE generator: ~21/20 = 50.635
POTE generator: ~21/20 = 50.635


Map: [<1 2 3 3 4 4|, <0 -10 -16 -5 -13 -7|]
Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -10 -16 -5 -13 -7 }}]


EDOs: 23de, 24, 47de, 71bde
{{Val list|legend=1| 23de, 24, 47de, 71bde }}


Badness: 0.0466
Badness: 0.0466

Revision as of 07:52, 22 February 2021

This clan tempers out the slendro diesis, 49/48, a triprime comma with factors of 2, 3 and 7.

Semaphore

Main article: Semaphore and Godzilla

Subgroup: 2.3.7

Comma list: 49/48

POTE generator: ~7/6 = 250.385

Mapping: [⟨1 0 2], ⟨0 2 1]]

Mapping generators: ~2, ~7/4

Gencom mapping: [⟨1 2 0 3], ⟨0 -2 0 -1]]

Gencom: [2 7/6; 49/48]

Template:Val list

Wilsec

Comma list: 49/48, 121/120, 225/224

POTE generator: ~11/8 = 537.186

Mapping: [⟨1 6 -1 5 4], ⟨0 -8 6 -4 -1]]

Template:Val list

Badness: 0.0419

13-limit

Comma list: 49/48, 65/64, 91/90, 121/120

POTE generator: ~11/8 = 537.208

Mapping: [⟨1 6 -1 5 4 7], ⟨0 -8 6 -4 -1 -6]]

Template:Val list

Badness: 0.0252

17-limit

Comma list: 49/48, 65/64, 91/90, 121/120, 154/153

POTE generator: ~11/8 = 537.230

Mapping: [⟨1 6 -1 5 4 7 -2], ⟨0 -8 6 -4 -1 -6 11]]

Template:Val list

Badness: 0.0218

19-limit

Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153

POTE generator: ~11/8 = 537.214

Mapping: [⟨1 6 -1 5 4 7 -2 7], ⟨0 -8 6 -4 -1 -6 11 -5]]

Template:Val list

Badness: 0.0168

Nuke

Comma list: 49/48, 66/65, 77/75, 448/429

POTE generator: ~14/13 = 81.024

Mapping: [⟨1 2 2 3 3 4], ⟨0 -6 5 -3 7 -4]]

Template:Val list

Badness: 0.0486

Hemiripple

See also: Mint temperaments § Ripple

Comma list: 49/48, 6561/6250

POTE generator: ~21/20 = 50.826

Mapping: [⟨1 2 3 3], ⟨0 -10 -16 -5]]

Wedgie: ⟨⟨10 16 5 2 -20 -33]]

Template:Val list

Badness: 0.1751

11-limit

Comma list: 49/48, 121/120, 567/550

POTE generator: ~21/20 = 50.826

Mapping: [⟨1 2 3 3 4], ⟨0 -10 -16 -5 -13]]

Template:Val list

Badness: 0.0668

13-limit

Comma list: 49/48, 66/65, 121/120, 351/350

POTE generator: ~21/20 = 50.635

Mapping: [⟨1 2 3 3 4 4], ⟨0 -10 -16 -5 -13 -7]]

Template:Val list

Badness: 0.0466

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