Semaphoresmic clan: Difference between revisions

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= 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


Mapping: [{{val| 1 0 2 }}, {{val| 0 2 1 }}]
[[Sval]] [[Mapping]]: [{{val| 1 0 2 }}, {{val| 0 2 1 }}]


Mapping generators: ~2, ~7/4
Sval mapping generators: ~2, ~7/4


Gencom mapping: [{{val| 1 2 0 3 }}, {{val| 0 -2 0 -1 }}]
Gencom mapping: [{{val| 1 2 0 3 }}, {{val| 0 -2 0 -1 }}]


Gencom: [2 7/6; 49/48]
[[Gencom]]: [2 7/6; 49/48]
 
[[POTE generator]]: ~7/6 = 250.385


{{Val list|legend=1| 5, 14, 19, 24, 67dd, 91dd}}
{{Val list|legend=1| 5, 14, 19, 24, 67dd, 91dd}}


</div></div>
Scales: [[semaphore5]], [[semaphore9]], [[semaphore14]]


= Nuke =
= Nuke =


Period: 1\1
Subgroup: 2.3.5.7
 
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;">
[[Comma list]]: 49/48, 3584/3375
<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 }}]


Mapping: [{{val| 1 2 2 3 }}, {{val| 0 -6 5 -3 }}]
[[POTE generator]]: ~16/15 = 80.9538


{{Val list|legend=1| 14, 15, 44cd }}
{{Val list|legend=1| 14, 15, 44cd }}


Badness: 0.1293
[[Badness]]: 0.1293
 
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~16/15 = 80.8171
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: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 79: Line 45:


Mapping: [{{val| 1 2 2 3 3 }}, {{val| 0 -6 5 -3 7 }}]
Mapping: [{{val| 1 2 2 3 3 }}, {{val| 0 -6 5 -3 7 }}]
POTE generator: ~16/15 = 80.8171


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


Badness: 0.0694
Badness: 0.0694
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generator: ~16/15 = 81.024
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: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Line 105: Line 59:


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 }}]
POTE generator: ~16/15 = 81.024


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


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


= Hemiripple =
= Hemiripple =
{{see also| Ripple family }}
{{see also| Ripple family #Hemiripple }}
 
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
Subgroup: 2.3.5.7


Comma list: 49/48, 6561/6250
[[Comma list]]: 49/48, 6561/6250


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


{{Multival|legend=1| 10 16 5 2 -20 -33 }}
{{Multival|legend=1| 10 16 5 2 -20 -33 }}
[[POTE generator]]: ~36/35 = 50.826


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


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
Subgroup: 2.3.5.7.11
Line 160: Line 90:


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 }}]
POTE generator: ~36/35 = 50.826


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


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
Subgroup: 2.3.5.7.11.13
Line 186: Line 104:


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 }}]
POTE generator: ~36/35 = 50.635


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


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


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

Revision as of 10:14, 27 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

Subgroup: 2.3.7

Comma list: 49/48

Sval Mapping: [⟨1 0 2], ⟨0 2 1]]

Sval mapping generators: ~2, ~7/4

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

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

POTE generator: ~7/6 = 250.385

Template:Val list

Scales: semaphore5, semaphore9, semaphore14

Nuke

Subgroup: 2.3.5.7

Comma list: 49/48, 3584/3375

Mapping: [⟨1 2 2 3], ⟨0 -6 5 -3]]

POTE generator: ~16/15 = 80.9538

Template:Val list

Badness: 0.1293

11-limit

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]]

POTE generator: ~16/15 = 80.8171

Template:Val list

Badness: 0.0694

13-limit

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]]

POTE generator: ~16/15 = 81.024

Template:Val list

Badness: 0.0486

Hemiripple

See also: Ripple family § Hemiripple

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 ]]

POTE generator: ~36/35 = 50.826

Template:Val list

Badness: 0.1751

11-limit

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]]

POTE generator: ~36/35 = 50.826

Template:Val list

Badness: 0.0668

13-limit

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]]

POTE generator: ~36/35 = 50.635

Template:Val list

Badness: 0.0466

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