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Porwell temperaments: Difference between revisions

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* [[Tricot family #Trident|Trident]]
* [[Tricot family #Trident|Trident]]


= Hendecatonic =
== Hendecatonic ==
The hendecatonic temperament has a period of 1/11 octave, which represents [[16/15]] and four times of which represents [[9/7]].
The hendecatonic temperament has a period of 1/11 octave, which represents [[16/15]] and four times of which represents [[9/7]].


Line 31: Line 31:
[[Badness]]: 0.041081
[[Badness]]: 0.041081


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


Line 44: Line 44:
Badness: 0.046088
Badness: 0.046088


== Icosidillic ==
=== Icosidillic ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 57: Line 57:
Badness: 0.057725
Badness: 0.057725


= Hemischis =
== Hemischis ==
{{see also| Schismatic family }}
{{see also| Schismatic family }}


Line 74: Line 74:
[[Badness]]: 0.045817
[[Badness]]: 0.045817


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


Line 87: Line 87:
Badness: 0.036289
Badness: 0.036289


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


Line 100: Line 100:
Badness: 0.020816
Badness: 0.020816


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


Line 113: Line 113:
Badness: 0.021073
Badness: 0.021073


= Twothirdtonic =
== Twothirdtonic ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 128: Line 128:
[[Badness]]: 0.099601
[[Badness]]: 0.099601


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


Line 141: Line 141:
Badness: 0.040768
Badness: 0.040768


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


Line 154: Line 154:
Badness: 0.025941
Badness: 0.025941


= Nessafof =
== Nessafof ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 169: Line 169:
[[Badness]]: 0.045048
[[Badness]]: 0.045048


= Septisuperfourth =
== Septisuperfourth ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 184: Line 184:
[[Badness]]: 0.059241
[[Badness]]: 0.059241


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


Line 197: Line 197:
Badness: 0.024619
Badness: 0.024619


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


Line 210: Line 210:
Badness: 0.022887
Badness: 0.022887


== Septisuperquad ==
=== Septisuperquad ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 223: Line 223:
Badness: 0.033038
Badness: 0.033038


= Whoops =
== Whoops ==
{{see also| Very high accuracy temperaments #Whoosh }}
{{see also| Very high accuracy temperaments #Whoosh }}


Line 240: Line 240:
[[Badness]]: 0.1758
[[Badness]]: 0.1758


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


Line 253: Line 253:
Badness: 0.0437
Badness: 0.0437


= Polypyth =
== Polypyth ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 266: Line 266:
[[Badness]]: 0.137995
[[Badness]]: 0.137995


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


Line 279: Line 279:
Badness: 0.051131
Badness: 0.051131


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


Line 292: Line 292:
Badness: 0.030292
Badness: 0.030292


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


Line 305: Line 305:
Badness: 0.019051
Badness: 0.019051


= Icositritonic =
== Icositritonic ==
The ''icositritonic'' temperament (46&161, named by [[User:Xenllium|Xenllium]]) has a period of 1/23 octave, so six period represents [[6/5]] and nine period represents [[21/16]].
The ''icositritonic'' temperament (46&161, named by [[User:Xenllium|Xenllium]]) has a period of 1/23 octave, so six period represents [[6/5]] and nine period represents [[21/16]].


Line 322: Line 322:
[[Badness]]: 0.196622
[[Badness]]: 0.196622


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


Line 335: Line 335:
Badness: 0.064613
Badness: 0.064613


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


Line 348: Line 348:
Badness: 0.040484
Badness: 0.040484


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


Line 361: Line 361:
Badness: 0.024676
Badness: 0.024676


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


Line 374: Line 374:
Badness: 0.021579
Badness: 0.021579


== 23-limit ==
=== 23-limit ===
Subgroup: 2.3.5.7.11.13.17.19.23
Subgroup: 2.3.5.7.11.13.17.19.23


Line 387: Line 387:
Badness: 0.017745
Badness: 0.017745


= Countermiracle =
== Countermiracle ==
The ''countermiracle'' temperament (31&145, named by [[User:Xenllium|Xenllium]]) tempers out the trimyna, 50421/50000 and the [[Quince clan|quince comma]], 823543/819200.
The ''countermiracle'' temperament (31&145, named by [[User:Xenllium|Xenllium]]) tempers out the trimyna, 50421/50000 and the [[Quince clan|quince comma]], 823543/819200.


Line 404: Line 404:
[[Badness]]: 0.102326
[[Badness]]: 0.102326


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


Line 417: Line 417:
Badness: 0.039162
Badness: 0.039162


=== Countermiraculous ===
==== Countermiraculous ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 430: Line 430:
Badness: 0.039271
Badness: 0.039271


=== Counterbenediction ===
==== Counterbenediction ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 443: Line 443:
Badness: 0.045569
Badness: 0.045569


== Counterrevelation ==
=== Counterrevelation ===
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 456: Line 456:
Badness: 0.064070
Badness: 0.064070


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


Retrieved from "https://en.xen.wiki/w/Porwell_temperaments"