Gallery of wakalixes: Difference between revisions
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=Tritonic= | =Tritonic= | ||
[[major and minor triads]] | |||
* [[major and minor triads]] | |||
=Tetratonic= | =Tetratonic= | ||
[[addedsixth]] | |||
* [[addedsixth]] | |||
==Super8-wakalixes== | ==Super8-wakalixes== | ||
[[supermajor and subminor tetrads]] | * [[major and minor tetrads]] | ||
* [[supermajor and subminor tetrads]] | |||
=Pentatonic= | =Pentatonic= | ||
[[fathbugmean2]] | * [[fathbugmean1]] | ||
* [[fathbugmean2]] | |||
* [[otonalpentad]] | |||
* [[utonalpentad]] | |||
* [[bluesemarch1]] | |||
* [[bluesemarch2]] | |||
=Hexatonic= | |||
* [[ternessbabdec]] | |||
[[ternessbabdec]] | |||
=Heptatonic= | =Heptatonic= | ||
[[dimeanmav2]] | * [[dimeanmav1]] | ||
* [[dimeanmav2]] | |||
* [[dimeanporc]] | |||
* [[dimavenipu]] | |||
* [[poole]] | |||
* [[waka3-7-17]] | |||
* [[jademohaporc]] | |||
* [[ochmohaporc]] | |||
==8-wakalixes== | |||
* [[dudon mohajira117]] | |||
[[dudon mohajira117 | |||
==54-wakalixes== | ==54-wakalixes== | ||
[[uheptad]] | * [[oheptad]] | ||
* [[uheptad]] | |||
=Nonatonic= | =Nonatonic= | ||
[[mavlim scales]] | |||
* [[mavlim scales]] | |||
=Decatonic= | =Decatonic= | ||
[[cx4]] | * [[line10]] | ||
* [[cx4]] | |||
=Undecatonic= | =Undecatonic= | ||
[[cxi3]] | * [[cxi1]] | ||
* [[cxi2]] | |||
[[cxi4]] | * [[cxi3]] | ||
* [[cxi4]] | |||
=Dodecatonic= | =Dodecatonic= | ||
[[meansruhelm]]1 | * [[biggulp]] | ||
* [[meansruhelm]]1 | |||
[[meansruhelm2]] | * [[meansruhelm2]] | ||
* [[prism]] | |||
[[prism]] | * [[thirteendene]] | ||
* [[wilson class]] | |||
[[thirteendene]] | * [[augdimhextrug]] | ||
* [[parizek-miller hexagon]] | |||
[[wilson class | * [[ramis]] | ||
* [[hahnZ]] | |||
[[augdimhextrug]] | |||
[[parizek-miller hexagon]] | |||
[[ramis]] | |||
[[hahnZ]] | |||
==Superwakalixes== | ==Superwakalixes== | ||
[[domdimpajinjschis]] | * [[domdimpajinjmean]] | ||
* [[domdimpajinjschis]] | |||
* [[collapsar]] | |||
=13-tone= | |||
* [[dwarf13 7d]] | |||
[[dwarf13 7d | |||
==Superwakalix== | ==Superwakalix== | ||
[[supertriskaideka]] | |||
* [[supertriskaideka]] | |||
=14-tone= | =14-tone= | ||
[[parrot]] | |||
* [[parrot]] | |||
=15-tone= | =15-tone= | ||
[[blackopkeegil2]] | * [[blackopkeegil1]] | ||
* [[blackopkeegil2]] | |||
[[primewak15]] | * [[primewak15]] | ||
=16-tone= | =16-tone= | ||
==Supersuperwakalix== | ==Supersuperwakalix== | ||
[[supersuper16]] | |||
* [[supersuper16]] | |||
=17-tone= | =17-tone= | ||
[[parizekhex]] | * [[cartwheel]] | ||
* [[parizekhex]] | |||
[[wilcent17]] | * [[wilcent17]] | ||
=19-tone= | =19-tone= | ||
[[godmeankeeflat2]] | * [[godmeankeeflat1]] | ||
* [[godmeankeeflat2]] | |||
* [[godmeankeeflat3]] | |||
* [[semmeanflat1]] | |||
* [[semmeanflat2]] | |||
==Superwakalix== | |||
* [[superclipgenus19]] | |||
[[superclipgenus19]] | |||
=22-tone= | =22-tone= | ||
[[pajhedgepythquas2]] | * [[pajhedgepythquas1]] | ||
* [[pajhedgepythquas2]] | |||
==Superwakalix== | ==Superwakalix== | ||
[[hppshq]] | |||
* [[hppshq]] | |||
=31-tone= | =31-tone= | ||
==Superwakalix== | ==Superwakalix== | ||
[[meansqunumigpopmo]] | |||
* [[meansqunumigpopmo]] | |||
=Fifth-repeating wakalixes= | =Fifth-repeating wakalixes= | ||
[[superfif7b]] | * [[superfif7a]] | ||
* [[superfif7b]] | |||
=Divisions of the Tetrachord= | =Divisions of the Tetrachord= | ||
[[august-pajara-augene tetrachord arena]] | * [[dicot-meantone tetrachord arena]] | ||
* [[dominant-diminished-pajara tetrachord arena]] | |||
* [[august-pajara-augene tetrachord arena]] | |||
=Music= | =Music= | ||
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3 Supersuperwakalix16] by Billy Stiltner | * [http://chrisvaisvil.com/?p=2256 Improvisational wakalix survey] by [[Chris Vaisvil]] | ||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/supersuper16.mp3 Supersuperwakalix16] by [[Billy Stiltner]] | |||
[[Category: | [[Category:Fokker block]] | ||
[[Category: | [[Category:Gallery]] | ||
[[Category:Just intonation scales]] | [[Category:Just intonation scales]] | ||
[[Category: | [[Category:Wakalix]] | ||
Revision as of 13:56, 5 December 2020
A wakalix is a Fokker block which is a Fokker block in more than one way, so that it belongs in more than one arena. A Fokker block is a JI scale in a JI group of rank r, such that there are r-1 rank two temperaments which temper it to a MOS. If there are more than r-1 such temperaments, we have a wakalix, if there are more than r, it is a superwakalix; some of both kinds are cataloged below. An ordinary wakalix, which generates a rank r JI group and has exactly r different rank two temperaments tempering it to a MOS, is sometimes called an r-wakalix (triple wakalix, quadruple wakalix, etc.)
Tritonic
Tetratonic
Super8-wakalixes
Pentatonic
Hexatonic
Heptatonic
8-wakalixes
54-wakalixes
Nonatonic
Decatonic
Undecatonic
Dodecatonic
- biggulp
- meansruhelm1
- meansruhelm2
- prism
- thirteendene
- wilson class
- augdimhextrug
- parizek-miller hexagon
- ramis
- hahnZ
Superwakalixes
13-tone
Superwakalix
14-tone
15-tone
16-tone
Supersuperwakalix
17-tone
19-tone
Superwakalix
22-tone
Superwakalix
31-tone
Superwakalix
Fifth-repeating wakalixes
Divisions of the Tetrachord
- dicot-meantone tetrachord arena
- dominant-diminished-pajara tetrachord arena
- august-pajara-augene tetrachord arena