Semaphoresmic clan: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
+discussed elsewhere
+databoxes; -wilsec for its discussed under negri; +7- and 11-limit nuke
Line 5: Line 5:
= Semaphore =
= Semaphore =
{{main| Semaphore and Godzilla }}
{{main| Semaphore and Godzilla }}
Period: 1\1
Optimal ([[POTE]]) generator: ~7/6 = 250.385
EDO generators: [[14edo|3\14]], [[19edo|4\19]], [[24edo|5\24]], [[29edo|6\29]]
Scales (Scala files): [[semaphore5]], [[semaphore9]], [[semaphore14]]
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">


Subgroup: 2.3.7
Subgroup: 2.3.7


Comma list: 49/48
Comma list: 49/48
POTE generator: ~7/6 = 250.385


Mapping: [{{val| 1 0 2 }}, {{val| 0 2 1 }}]
Mapping: [{{val| 1 0 2 }}, {{val| 0 2 1 }}]
Line 22: Line 32:
{{Val list|legend=1| 5, 14, 19, 24, 67dd, 91dd}}
{{Val list|legend=1| 5, 14, 19, 24, 67dd, 91dd}}


= Wilsec =
</div></div>
Comma list: 49/48, 121/120, 225/224
 
= Nuke =
 
Period: 1\1
 
Optimal ([[POTE]]) generator: ~16/15 = 80.9538
 
EDO generators: [[14edo|1\14]], [[15edo|1\15]]
 
Scales (Scala files):
 
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
 
Subgroup: 2.3.5.7
 
Comma list: 49/48, 3584/3375
 
Mapping: [{{val| 1 2 2 3 }}, {{val| 0 -6 5 -3 }}]


POTE generator: ~11/8 = 537.186
{{Val list|legend=1| 14, 15, 44cd }}


Mapping: [{{val| 1 6 -1 5 4 }}, {{val| 0 -8 6 -4 -1 }}]
Badness: 0.1293


{{Val list|legend=1| 9, 20, 29, 38d, 67cde }}
</div></div>


Badness: 0.0419
== 11-limit ==


== 13-limit ==
Period: 1\1
Comma list: 49/48, 65/64, 91/90, 121/120
 
Optimal ([[POTE]]) generator: ~16/15 = 80.8171
 
EDO generators: [[14edo|1\14]], [[15edo|1\15]]
 
Scales (Scala files):


POTE generator: ~11/8 = 537.208
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">


Mapping: [{{val| 1 6 -1 5 4 7 }}, {{val| 0 -8 6 -4 -1 -6 }}]
Subgroup: 2.3.5.7.11


{{Val list|legend=1| 9, 20, 29, 38df, 67cdef }}
Comma list: 49/48, 77/75, 512/495


Badness: 0.0252
Mapping: [{{val| 1 2 2 3 3 }}, {{val| 0 -6 5 -3 7 }}]


== 17-limit ==
{{Val list|legend=1| 14e, 15 }}
Comma list: 49/48, 65/64, 91/90, 121/120, 154/153


POTE generator: ~11/8 = 537.230
Badness: 0.0694


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


{{Val list|legend=1| 9, 29g, 38df, 67cdefg }}
== 13-limit ==


Badness: 0.0218
Period: 1\1


== 19-limit ==
Optimal ([[POTE]]) generator: ~16/15 = 81.024
Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153


POTE generator: ~11/8 = 537.214
EDO generators: [[14edo|1\14]], [[15edo|1\15]]


Mapping: [{{val| 1 6 -1 5 4 7 -2 7 }}, {{val| 0 -8 6 -4 -1 -6 11 -5 }}]
Scales (Scala files):  


{{Val list|legend=1| 9, 29g, 38df, 67cdefgh }}
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">


Badness: 0.0168
Subgroup: 2.3.5.7.11.13


= Nuke =
Comma list: 49/48, 66/65, 77/75, 448/429
Comma list: 49/48, 66/65, 77/75, 448/429
POTE generator: ~14/13 = 81.024


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


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


Badness: 0.0486
Badness: 0.0486
</div></div>


= Hemiripple =
= Hemiripple =
{{see also| Mint temperaments #Ripple }}
{{see also| Mint temperaments #Ripple }}
Period: 1\1
Optimal ([[POTE]]) generator: ~36/35 = 50.826
EDO generators: [[23edo|1\23]], [[24edo|1\24]]
Scales (Scala files):
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
Subgroup: 2.3.5.7


Comma list: 49/48, 6561/6250
Comma list: 49/48, 6561/6250
POTE generator: ~21/20 = 50.826


Mapping: [{{val| 1 2 3 3 }}, {{val| 0 -10 -16 -5 }}]
Mapping: [{{val| 1 2 3 3 }}, {{val| 0 -10 -16 -5 }}]
Line 91: Line 138:


Badness: 0.1751
Badness: 0.1751
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~36/35 = 50.826
EDO generators: [[23edo|1\23]], [[24edo|1\24]]
Scales (Scala files):
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
Subgroup: 2.3.5.7.11
Comma list: 49/48, 121/120, 567/550
Comma list: 49/48, 121/120, 567/550
POTE generator: ~21/20 = 50.826


Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -10 -16 -5 -13 }}]
Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -10 -16 -5 -13 }}]
Line 102: Line 164:


Badness: 0.0668
Badness: 0.0668
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~36/35 = 50.635
EDO generators: [[23edo|1\23]], [[24edo|1\24]]
Scales (Scala files):
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 66/65, 121/120, 351/350
Comma list: 49/48, 66/65, 121/120, 351/350
POTE generator: ~21/20 = 50.635


Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -10 -16 -5 -13 -7 }}]
Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -10 -16 -5 -13 -7 }}]
Line 113: Line 190:


Badness: 0.0466
Badness: 0.0466
</div></div>


[[Category:Theory]]
[[Category:Theory]]

Revision as of 07:33, 1 March 2021

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

Discussed elsewhere are baba, decimal, beep, blacksmith, godzilla, triforce, superpelog, negri, nautilus, keemun, and immunity.

Semaphore

Main article: Semaphore and Godzilla

Period: 1\1

Optimal (POTE) generator: ~7/6 = 250.385

EDO generators: 3\14, 4\19, 5\24, 6\29

Scales (Scala files): semaphore5, semaphore9, semaphore14

Technical data

Subgroup: 2.3.7

Comma list: 49/48

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

Nuke

Period: 1\1

Optimal (POTE) generator: ~16/15 = 80.9538

EDO generators: 1\14, 1\15

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7

Comma list: 49/48, 3584/3375

Mapping: [⟨1 2 2 3], ⟨0 -6 5 -3]]

Template:Val list

Badness: 0.1293

11-limit

Period: 1\1

Optimal (POTE) generator: ~16/15 = 80.8171

EDO generators: 1\14, 1\15

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11

Comma list: 49/48, 77/75, 512/495

Mapping: [⟨1 2 2 3 3], ⟨0 -6 5 -3 7]]

Template:Val list

Badness: 0.0694

13-limit

Period: 1\1

Optimal (POTE) generator: ~16/15 = 81.024

EDO generators: 1\14, 1\15

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11.13

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

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

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.826

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7

Comma list: 49/48, 6561/6250

Mapping: [⟨1 2 3 3], ⟨0 -10 -16 -5]]

Wedgie: ⟨⟨10 16 5 2 -20 -33]]

Template:Val list

Badness: 0.1751

11-limit

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.826

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11

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

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

Template:Val list

Badness: 0.0668

13-limit

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.635

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11.13

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

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

Template:Val list

Badness: 0.0466

Retrieved from "https://en.xen.wiki/index.php?title=Semaphoresmic_clan&oldid=62445"