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Marvel temperaments: Difference between revisions

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Line 244: Line 244:
[[POTE generator]]: ~16/15 = 98.809
[[POTE generator]]: ~16/15 = 98.809


{{Val list|legend=1| 12, 49dd }}
{{Val list|legend=1| 1, 11, 12, 49dd }}


[[Badness]]: 0.0751
[[Badness]]: 0.075055


= Wizard =
= Wizard =
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Wizard]].''
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Wizard]].''
{{See also|Wizard}}
{{See also|Wizard}}
Line 267: Line 266:
{{Val list|legend=1| 22, 50, 72, 166, 238c, 310c, 382c }}
{{Val list|legend=1| 22, 50, 72, 166, 238c, 310c, 382c }}


[[Badness]]: 0.0408
[[Badness]]: 0.040846


Scales: [[wizard22]]
Scales: [[wizard22]]


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 283: Line 281:
POTE generator: ~5/4 = 383.232
POTE generator: ~5/4 = 383.232


{{Val list|legend=1| 22, 50, 72, 166, 238c, 310c }}
Vals: {{Val list| 22, 50, 72, 166, 238c, 310c }}


Badness: 0.0185
Badness: 0.018539


Scales: [[wizard22]]
Scales: [[wizard22]]


=== Lizard ===
=== Lizard ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 301: Line 298:
POTE generator: ~5/4 = 383.389
POTE generator: ~5/4 = 383.389


{{Val list|legend=1| 22, 50, 72, 122, 194df }}
Vals: {{Val list| 22, 50, 72, 122, 194df }}


Badness: 0.0218
Badness: 0.021781


==== 17-limit ====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Line 317: Line 313:
POTE generator: ~5/4 = 383.381
POTE generator: ~5/4 = 383.381


{{Val list|legend=1| 22, 50, 72, 122g, 194dfg }}
Vals: {{Val list| 22, 50, 72, 122g, 194dfg }}
 
Badness: 0.0145


</div></div>
Badness: 0.014536


==== 19-limit ====
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Line 335: Line 328:
POTE generator: ~5/4 = 383.477
POTE generator: ~5/4 = 383.477


{{Val list|legend=1| 22h, 50, 72, 122g, 194dfg }}
Vals: {{Val list| 22h, 50, 72, 122g, 194dfg }}


Badness: 0.0157
Badness: 0.015702
 
</div></div>


=== Gizzard ===
=== Gizzard ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 353: Line 343:
POTE generator: ~5/4 = 383.170
POTE generator: ~5/4 = 383.170


{{Val list|legend=1| 72, 166, 238cf }}
Vals: {{Val list| 72, 166, 238cf }}


Badness: 0.0203
Badness: 0.020252
 
</div></div>


==== 17-limit ====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Line 371: Line 358:
POTE generator: ~5/4 = 383.175
POTE generator: ~5/4 = 383.175


{{Val list|legend=1| 72, 166g, 238cfg }}
Vals: {{Val list| 72, 166g, 238cfg }}


Badness: 0.0136
Badness: 0.013624


</div></div>


==== 19-limit ====
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Line 389: Line 374:
POTE generator: ~5/4 = 383.138
POTE generator: ~5/4 = 383.138


{{Val list|legend=1| 72, 94, 166g }}
Vals: {{Val list| 72, 94, 166g }}


Badness: 0.0148
Badness: 0.014810


== Mage ==
== Mage ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 405: Line 389:
POTE generator: ~5/4 = 383.124
POTE generator: ~5/4 = 383.124


{{Val list|legend=1| 22, 50e, 72ee, 94ee }}
Vals: {{Val list| 22, 50e, 72ee, 94ee }}


Badness: 0.0578
Badness: 0.057799


= Triton =
= Triton =
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Stump]].''
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Stump]].''


Line 423: Line 406:
[[POTE generator]]: ~7/5 = 568.865
[[POTE generator]]: ~7/5 = 568.865


{{Val list|legend=1| 19, 78bd, 97bd }}
{{Val list|legend=1| 2, 17d, 19, 78bd, 97bd }}


[[Badness]]: 0.0592
[[Badness]]: 0.059245


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 437: Line 419:
POTE generator: ~7/5 = 569.144
POTE generator: ~7/5 = 569.144


{{Val list|legend=1| 19, 59bde, 78bde, 97bde }}
Vals: {{Val list| 2, 17d, 19, 59bde, 78bde, 97bde }}


Badness: 0.0457
Badness: 0.045675


= Tritonic =
= Tritonic =
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Tritonic]].''
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Tritonic]].''


Line 456: Line 437:


{{Val list|legend=1| 29, 31, 60, 91, 122, 213bcd }}
{{Val list|legend=1| 29, 31, 60, 91, 122, 213bcd }}
[[Badness]]: 0.047578


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 467: Line 449:
POTE generator: ~7/5 = 580.267
POTE generator: ~7/5 = 580.267


{{Val list|legend=1| 29, 31, 60e }}
Vals: {{Val list| 29, 31, 60e }}


Badness: 0.0237
Badness: 0.023659


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 481: Line 462:
POTE generator: ~7/5 = 580.108
POTE generator: ~7/5 = 580.108


{{Val list|legend=1| 29, 31, 60e, 151cde }}
Vals: {{Val list| 29, 31, 60e, 151cde }}


Badness: 0.0230
Badness: 0.022993


== Tritoni ==
== Tritoni ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 495: Line 475:
POTE generator: ~7/5 = 580.389
POTE generator: ~7/5 = 580.389


{{Val list|legend=1| 31, 91, 122, 153d }}
Vals: {{Val list| 31, 91, 122, 153d }}


Badness: 0.0455
Badness: 0.045456


= Merman =
= Merman =
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Merman]].''
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Merman]].''


Line 515: Line 494:
{{Val list|legend=1| 41, 84, 125 }}
{{Val list|legend=1| 41, 84, 125 }}


[[Badness]]: 0.0551
[[Badness]]: 0.055078


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 527: Line 505:
POTE generator: ~7/5 = 585.606
POTE generator: ~7/5 = 585.606


{{Val list|legend=1| 41, 84, 125e }}
Vals: {{Val list| 41, 84, 125e }}


Badness: 0.0364
Badness: 0.036383


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 541: Line 518:
POTE generator: ~7/5 = 585.657
POTE generator: ~7/5 = 585.657


{{Val list|legend=1| 41, 84, 125e, 209ef, 293ef }}
Vals: {{Val list| 41, 84, 125e, 209ef, 293ef }}


Badness: 0.0275
Badness: 0.027544


= Septimin =
= Septimin =
Line 558: Line 535:
[[POTE generator]]: ~7/6 = 263.632
[[POTE generator]]: ~7/6 = 263.632


{{Val list|legend=1| 41, 91, 132 }}
{{Val list|legend=1| 41, 91, 132d }}


[[Badness]]: 0.054502
[[Badness]]: 0.054502
Line 589: Line 566:


= Slender =
= Slender =
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 602: Line 578:
{{Val list|legend=1| 31, 94, 125 }}
{{Val list|legend=1| 31, 94, 125 }}


[[Badness]]: 0.0569
[[Badness]]: 0.056934


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 614: Line 589:
POTE generator: ~49/48 = 38.387
POTE generator: ~49/48 = 38.387


{{Val list|legend=1| 31, 63, 94, 125 }}
Vals: {{Val list| 31, 63, 94, 125 }}


Badness: 0.02534
Badness: 0.025342


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 628: Line 602:
POTE generator: ~49/48 = 38.314
POTE generator: ~49/48 = 38.314


{{Val list|legend=1| 31, 63, 94 }}
Vals: {{Val list| 31, 63, 94 }}


Badness: 0.02591
Badness: 0.025913


= Marvo =
= Marvo =
Line 637: Line 611:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 225/224, 78125000/78121827
[[Comma list]]: 225/224, 78125000/78121827


Mapping: [{{val| 1 5 12 29 }}, {{val| 0 -6 -17 -46 }}]
[[Mapping]]: [{{val| 1 5 12 29 }}, {{val| 0 -6 -17 -46 }}]


{{Multival|legend=1| 6 17 46 13 56 59 }}
{{Multival|legend=1| 6 17 46 13 56 59 }}


POTE generator: ~27/20 = 516.694
[[POTE generator]]: ~27/20 = 516.694


{{Val list|legend=1| 65d, 72, 137, 209, 281, 569bcc }}
{{Val list|legend=1| 65d, 72, 137, 209, 281, 569bcc }}


Badness: 0.0976
[[Badness]]: 0.097627


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 659: Line 632:
POTE generator: ~27/20 = 516.699
POTE generator: ~27/20 = 516.699


{{Val list|legend=1| 65d, 72, 281, 353c, 425bc, 497bc }}
Vals: {{Val list| 65d, 72, 281, 353c, 425bc, 497bc }}


Badness: 0.0317
Badness: 0.031685


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 673: Line 645:
POTE generator: ~27/20 = 516.730
POTE generator: ~27/20 = 516.730


{{Val list|legend=1| 65d, 72, 137, 209, 281f, 490bcf }}
Vals: {{Val list| 65d, 72, 137, 209, 281f, 490bcf }}


Badness: 0.0269
Badness: 0.026882


= Marvolo =
= Marvolo =
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 691: Line 662:
{{Val list|legend=1| 29, 43, 72, 619bcd, 691bcd }}
{{Val list|legend=1| 29, 43, 72, 619bcd, 691bcd }}


[[Badness]]: 0.0833
[[Badness]]: 0.083338


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 703: Line 673:
POTE generator: ~21/20 = 83.340
POTE generator: ~21/20 = 83.340


{{Val list|legend=1| 29, 43, 72 }}
Vals: {{Val list| 29, 43, 72 }}


Badness: 0.0290
Badness: 0.028965
 
</div></div>


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 719: Line 686:
POTE generator: ~21/20 = 83.330
POTE generator: ~21/20 = 83.330


{{Val list|legend=1| 29, 43, 72, 115f }}
Vals: {{Val list| 29, 43, 72, 115f }}


Badness: 0.0215
Badness: 0.021470
 
</div></div>


= Amavil =
= Amavil =
== 5-limit (mabila) ==
== 5-limit (Mabila) ==
 
Subgroup: 2.3.5
Subgroup: 2.3.5


Line 738: Line 702:
{{Val list|legend=1| 9, 25, 34, 77, 111, 145, 256c }}
{{Val list|legend=1| 9, 25, 34, 77, 111, 145, 256c }}


[[Badness]]: 0.2325
[[Badness]]: 0.232481


== 7-limit ==
== 7-limit ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 754: Line 717:
{{Val list|legend=1| 9, 25d, 34d, 43, 77d }}
{{Val list|legend=1| 9, 25d, 34d, 43, 77d }}


[[Badness]]: 0.1096
[[Badness]]: 0.109625


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 766: Line 728:
POTE generator: ~15/11 = 529.974
POTE generator: ~15/11 = 529.974


{{Val list|legend=1| 9, 34d, 43, 77de }}
Vals: {{Val list| 9, 34d, 43, 77de }}


Badness: 0.0426
Badness: 0.042649


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 780: Line 741:
POTE generator: ~15/11 = 529.951
POTE generator: ~15/11 = 529.951


{{Val list|legend=1| 9, 34d, 43, 77de }}
Vals: {{Val list| 9, 34d, 43, 77de }}


Badness: 0.0258
Badness: 0.025791


= Enneaportent =
= Enneaportent =
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 796: Line 756:
[[POTE generator]]: ~5/4 = 383.165
[[POTE generator]]: ~5/4 = 383.165


{{Val list|legend=1| 63, 72, 495bcd }}
{{Val list|legend=1| 9, 63, 72, 495bcd }}


[[Badness]]: 0.0937
[[Badness]]: 0.093679


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 810: Line 769:
POTE generator: ~5/4 = 383.146
POTE generator: ~5/4 = 383.146


{{Val list|legend=1| 63, 72, 423cd, 495bcd }}
Vals: {{Val list| 9, 63, 72, 423cd, 495bcd }}
 
Badness: 0.0304


</div></div>
Badness: 0.030426


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 826: Line 782:
POTE generator: ~5/4 = 383.047
POTE generator: ~5/4 = 383.047


{{Val list|legend=1| 63, 72, 279cf }}
Vals: {{Val list| 9, 63, 72, 279cf }}


Badness: 0.0223
Badness: 0.022322
 
</div></div>


= Submajor =
= Submajor =
== 5-limit ==
Subgroup: 2.3.5
Subgroup: 2.3.5


Line 843: Line 795:
[[POTE generator]]: ~10125/8192 = 362.321
[[POTE generator]]: ~10125/8192 = 362.321


{{Val list|legend=1| 10, 33, 43, 53, 202, 255, 308, 361, 414, 775, 1189bc}}
{{Val list|legend=1| 10, 33, 43, 53, 202, 255, 308, 361, 414, 775, 1189bc }}


[[Badness]]: 0.1302
[[Badness]]: 0.130236


== 7-limit ==
== 7-limit ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 861: Line 812:
{{Val list|legend=1| 10, 33, 43, 53 }}
{{Val list|legend=1| 10, 33, 43, 53 }}


[[Badness]]: 0.0605
[[Badness]]: 0.060533


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 873: Line 823:
POTE generator: ~27/22 = 362.101
POTE generator: ~27/22 = 362.101


{{Val list|legend=1| 53, 116, 169de, 285cde }}
Vals: {{Val list| 10, 43e, 53, 116, 169de, 285cde }}


Badness: 0.0506
Badness: 0.050582


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 887: Line 836:
POTE generator: ~16/13 = 362.105
POTE generator: ~16/13 = 362.105


{{Val list|legend=1| 53, 116, 169de, 285cdef }}
Vals: {{Val list| 10, 43e, 53, 116, 169de, 285cdef }}


Badness: 0.0277
Badness: 0.027689
 
</div></div>


== Interpental ==
== Interpental ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 905: Line 851:
POTE generator: ~49/40 = 362.418
POTE generator: ~49/40 = 362.418


{{Val list|legend=1| 43, 53, 96, 149d }}
Vals: {{Val list| 43, 53, 96, 149d }}


Badness: 0.0518
Badness: 0.051806
 
</div></div>


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 923: Line 866:
POTE generator: ~16/13 = 362.402
POTE generator: ~16/13 = 362.402


{{Val list|legend=1| 43, 53, 96, 149d }}
Vals: {{Val list| 43, 53, 96, 149d }}


Badness: 0.0297
Badness: 0.029680
 
</div></div>


= Alphorn =
= Alphorn =
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 943: Line 883:
{{Val list|legend=1| 28d, 41, 151cd, 192cd, 233cd }}
{{Val list|legend=1| 28d, 41, 151cd, 192cd, 233cd }}


[[Badness]]: 0.1293
[[Badness]]: 0.129258


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 955: Line 894:
POTE generator: ~11/8 = 556.144
POTE generator: ~11/8 = 556.144


{{Val list|legend=1| 28d, 41, 315cde }}
Vals: {{Val list| 28d, 41, 315cde }}
 
Badness: 0.073459
 
= Tertiosec =
Subgroup: 2.3.5
 
[[Comma list]]: {{monzo| -89 21 24 }}
 
[[Mapping]]: [{{val| 3 7 5 }}, {{val| 0 -8 7 }}]
 
[[POTE generator]]: ~16/15 = 112.281
 
{{Val list|legend=1| 21, 54, 75, 96, 171 }}
 
[[Badness]]: 0.851003
 
== 7-limit ==
Subgroup: 2.3.5.7
 
[[Comma list]]: 225/224, 14495514624/13841287201
 
[[Mapping]]: [{{val| 3 7 5 9 }}, {{val| 0 -8 7 -2 }}]
 
{{Multival|legend=1| 24 -21 6 -89 -58 73 }}
 
[[POTE generator]]: ~15/14 = 112.283
 
{{Val list|legend=1| 21, 54, 75, 96, 171d }}
 
[[Badness]]: 0.431636
 
== 11-limit ==
Subgroup: 2.3.5.7.11
 
Comma list: 225/224, 3840/3773, 12005/11979
 
Mapping: [{{val| 3 7 5 9 9 }}, {{val| 0 -8 7 -2 5 }}]
 
POTE generator: ~15/14 = 112.171
 
Vals: {{Val list| 21, 54, 75e }}


Badness: 0.0735
Badness: 0.173485


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
Retrieved from "https://en.xen.wiki/w/Marvel_temperaments"