Xenharmonic Wiki

Marvel family: Difference between revisions

← Older editNewer edit →
VisualWikitext
m Cleanup
Try some databoxes
Line 26: Line 26:
[[Associated temperament]]: [[catakleismic]]
[[Associated temperament]]: [[catakleismic]]


; Technical data
<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]]: c = 225/224
[[Comma list]]: c = 225/224
Subgroup: 2.3.5.7


Mapping: [{{val| 1 0 0 -5 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 2 }}]
Mapping: [{{val| 1 0 0 -5 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 2 }}]
Line 58: Line 60:
[[Complexity spectrum]]: 4/3, 5/4, 7/5, 7/6, 8/7, 6/5, 9/8, 9/7, 10/9
[[Complexity spectrum]]: 4/3, 5/4, 7/5, 7/6, 8/7, 6/5, 9/8, 9/7, 10/9


; [[Minkowski blocks]]
</div></div>
 
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">[[Minkowski blocks]]</div>
<div class="mw-collapsible-content">
 
{2, 3, 5} subgroup
{2, 3, 5} subgroup
* 8: 16/15, 250/243
* 8: 16/15, 250/243
Line 73: Line 80:
* 31: 81/80, 34171875/33554432
* 31: 81/80, 34171875/33554432
* 41: 34171875/33554432, 3125/3072
* 41: 34171875/33554432, 3125/3072
</div></div>


; Music
; Music
Line 97: Line 106:
[[Associated temperament]]: [[catakleismic]]
[[Associated temperament]]: [[catakleismic]]


; Technical data
<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]]: 225/224, 385/384
[[Comma list]]: 225/224, 385/384
Subgroup: 2.3.5.7.11


Mapping: [{{val| 1 0 0 -5 12 }}, {{val| 0 1 0 2 -1 }}, {{val| 0 0 1 2 -3 }}]
Mapping: [{{val| 1 0 0 -5 12 }}, {{val| 0 1 0 2 -1 }}, {{val| 0 0 1 2 -3 }}]
Line 126: Line 137:
[[Complexity spectrum]]: 5/4, 4/3, 7/6, 8/7, 7/5, 6/5, 9/7, 12/11, 9/8, 11/8, 11/9, 10/9, 11/10, 14/11
[[Complexity spectrum]]: 5/4, 4/3, 7/6, 8/7, 7/5, 6/5, 9/7, 12/11, 9/8, 11/8, 11/9, 10/9, 11/10, 14/11


; Hobbit bases
</div></div>
 
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Hobbit bases</div>
<div class="mw-collapsible-content">
 
{2, 3, 5} subgroup
{2, 3, 5} subgroup
* 12: 128/125, 2048/2025
* 12: 128/125, 2048/2025
Line 134: Line 150:
* 31: 2109375/2097152, 81/80
* 31: 2109375/2097152, 81/80
* 41: 3125/3072, 34171875/33554432
* 41: 3125/3072, 34171875/33554432
</div></div>


== 13-limit ==
== 13-limit ==
Comma list: 225/224, 385/384, 351/350
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 699.7367, ~5/4 = 384.0613
 
EDO generators: [[31edo|(18, 10)\31]], [[53edo|(31, 17)\53]], [[72edo|(42, 23)\72]]
 
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
Comma list: 225/224, 385/384, 351/350


Mapping: [{{val| 1 0 0 -5 12 -4 }}, {{val| 0 1 0 2 -1 -1 }}, {{val| 0 0 1 2 -3 4 }}]
Mapping: [{{val| 1 0 0 -5 12 -4 }}, {{val| 0 1 0 2 -1 -1 }}, {{val| 0 0 1 2 -3 4 }}]
Line 151: Line 182:


[[Complexity spectrum]]: 5/4, 4/3, 16/15, 15/14, 9/7, 6/5, 7/6, 11/8, 7/5, 9/8, 8/7, 10/9, 12/11, 13/10, 11/10, 15/11, 16/13, 11/9, 15/13, 14/13, 13/12, 14/11, 18/13, 13/11
[[Complexity spectrum]]: 5/4, 4/3, 16/15, 15/14, 9/7, 6/5, 7/6, 11/8, 7/5, 9/8, 8/7, 10/9, 12/11, 13/10, 11/10, 15/11, 16/13, 11/9, 15/13, 14/13, 13/12, 14/11, 18/13, 13/11
</div></div>


== Hecate ==
== Hecate ==
Comma list: 225/224, 385/384, 325/324
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 700.9779, ~5/4 = 383.1622
 
EDO generators: [[41edo|(24, 13)\41]], [[53edo|(31, 17)\53]], [[72edo|(42, 23)\72]]
 
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
Comma list: 225/224, 385/384, 325/324


Mapping: [{{val| 1 0 0 -5 12 2 }}, {{val| 0 1 0 2 -1 4 }}, {{val| 0 0 1 2 -3 -2 }}]
Mapping: [{{val| 1 0 0 -5 12 2 }}, {{val| 0 1 0 2 -1 4 }}, {{val| 0 0 1 2 -3 -2 }}]
Line 163: Line 209:
* 15-odd-limit eigenmonzo subgroup: 2.7.15/13
* 15-odd-limit eigenmonzo subgroup: 2.7.15/13


{{Val list|legend=1| 19, 41, 53, 72, 113, 125f, 166, 238cf, 404cef }}
{{Val list|legend=1| 19, 22f, 31f, 41, 53, 72, 113, 125f, 166, 238cf, 404cef }}


Badness: 0.721 × 10<sup>-3</sup>
Badness: 0.721 × 10<sup>-3</sup>
Line 170: Line 216:


[[Complexity spectrum]]: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11
[[Complexity spectrum]]: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11
</div></div>


=== 17-limit ===
=== 17-limit ===
Comma list: 225/224, 385/384, 325/324, 595/594
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 700.9619, ~5/4 = 383.0310
 
EDO generators: [[22edo|(13, 7)\22]], [[41edo|(24, 13)\41]], [[72edo|(42, 23)\72]]
 
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: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17
Comma list: 225/224, 385/384, 325/324, 595/594


Mapping: [{{val| 1 0 0 -5 12 2 18 }}, {{val| 0 1 0 2 -1 4 0 }}, {{val| 0 0 1 2 -3 -2 -6 }}]
Mapping: [{{val| 1 0 0 -5 12 2 18 }}, {{val| 0 1 0 2 -1 4 0 }}, {{val| 0 0 1 2 -3 -2 -6 }}]


{{Val list|legend=1| 19, 41, 53g, 72, 113, 166g, 238cfg, 351cfg, 404cefg }}
{{Val list|legend=1| 19, 22f, 31fg, 41, 53g, 72, 113, 166g, 238cfg, 351cfg, 404cefg }}


Badness: 0.869 × 10<sup>-3</sup>
Badness: 0.869 × 10<sup>-3</sup>
</div></div>


=== Enodia ===
=== Enodia ===
Comma list: 225/224, 385/384, 325/324, 375/374
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 700.9658, ~5/4 = 383.3063
 
EDO generators: [[22edo|(13, 7)\22]], [[53edo|(31, 17)\53]], [[72edo|(42, 23)\72]]
 
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: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17
Comma list: 225/224, 385/384, 325/324, 375/374


Mapping: [{{val| 1 0 0 -5 12 2 18 }}, {{val| 0 1 0 2 -1 4 0 }}, {{val| 0 0 1 2 -3 -2 6 }}]
Mapping: [{{val| 1 0 0 -5 12 2 18 }}, {{val| 0 1 0 2 -1 4 0 }}, {{val| 0 0 1 2 -3 -2 6 }}]


{{Val list|legend=1| 41g, 53, 72, 125f, 166g, 238cfg, 363cefg, 404cefg }}
{{Val list|legend=1| 19g, 22f, 31f, 41g, 53, 72, 125f, 166g, 238cfg, 363cefg, 404cefg }}


Badness: 0.917 × 10<sup>-3</sup>
Badness: 0.917 × 10<sup>-3</sup>
</div></div>


== Marvelcat ==
== Marvelcat ==
Comma list: 169/168, 225/224, 385/384


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Comma list: 169/168, 225/224, 385/384


Mapping: [{{val| 1 0 0 -5 12 -1 }}, {{val| 0 2 0 4 -2 3 }}, {{val| 0 0 1 2 -3 1 }}]
Mapping: [{{val| 1 0 0 -5 12 -1 }}, {{val| 0 2 0 4 -2 3 }}, {{val| 0 0 1 2 -3 1 }}]
Line 205: Line 284:


== Marvell ==
== Marvell ==
Comma list: 225/224, 385/384, 1573/1568


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Comma list: 225/224, 385/384, 1573/1568


Mapping: [{{val| 1 0 0 -5 12 -29 }}, {{val| 0 1 0 2 -1 6 }}, {{val| 0 0 1 2 -3 10 }}]
Mapping: [{{val| 1 0 0 -5 12 -29 }}, {{val| 0 1 0 2 -1 6 }}, {{val| 0 0 1 2 -3 10 }}]
Line 220: Line 300:


== Isis ==
== Isis ==
Comma list: 225/224, 385/384, 275/273


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Comma list: 225/224, 385/384, 275/273


Mapping: [{{val| 1 0 0 -5 12 17 }}, {{val| 0 1 0 2 -1 4 }}, {{val| 0 0 1 2 -3 -3 }}]
Mapping: [{{val| 1 0 0 -5 12 17 }}, {{val| 0 1 0 2 -1 4 }}, {{val| 0 0 1 2 -3 -3 }}]
Line 233: Line 314:


== Deecee ==
== Deecee ==
Comma list: 225/224, 385/384, 364/363


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Comma list: 225/224, 385/384, 364/363


Mapping: [{{val| 1 0 0 -5 12 27 }}, {{val| 0 1 0 2 -1 -3 }}, {{val| 0 0 1 2 -3 -8 }}]
Mapping: [{{val| 1 0 0 -5 12 27 }}, {{val| 0 1 0 2 -1 -3 }}, {{val| 0 0 1 2 -3 -8 }}]
Line 250: Line 332:


== Tripod ==
== Tripod ==
Comma list: 105/104, 144/143, 196/195


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Comma list: 105/104, 144/143, 196/195


Minimax tuning:  
Minimax tuning:  
Retrieved from "https://en.xen.wiki/w/Marvel_family"