Gallery of wakalixes

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

• major and minor triads

Tetratonic

• addedsixth

Super8-wakalixes

• major and minor tetrads
• supermajor and subminor tetrads

Pentatonic

• fathbugmean1
• fathbugmean2
• otonalpentad
• utonalpentad
• triensemarch1
• triensemarch2

Hexatonic

• ternessbabdec

Heptatonic

• dimeanmav1
• dimeanmav2
• dimeanporc
• dimavenipu
• disixporc1
• disixporc2
• poole
• waka3-7-17
• jademohaporc
• ochmohaporc

8-wakalixes

• dudon mohajira117

54-wakalixes

• oheptad
• uheptad

Nonatonic

• mavlim scales
• phorearmlogic1
• phorearmlogic2

Decatonic

• line10
• cx4

Undecatonic

• cxi1
• cxi2
• cxi3
• cxi4

Dodecatonic

• biggulp
• meansruhelm1
• meansruhelm2
• prism
• thirteendene
• wilson class
• augdimhextrug
• parizek-miller hexagon
• ramis
• hahnZ

Superwakalixes

• domdimpajinjmean
• domdimpajinjschis
• collapsar

13-tone

• dwarf13 7d

Superwakalix

• supertriskaideka

14-tone

• parrot

15-tone

• blackopkeegil1
• blackopkeegil2
• primewak15

16-tone

Supersuperwakalix

• supersuper16

17-tone

• cartwheel
• parizekhex
• wilcent17

19-tone

• godmeankeeflat1
• godmeankeeflat2
• godmeankeeflat3

Superwakalix

• superclipgenus19

22-tone

• pajhedgepythquas1
• pajhedgepythquas2

Superwakalix

• hppshq

31-tone

Superwakalix

• meansqunumigpopmo

Fifth-repeating wakalixes

• superfif7a
• superfif7b

Divisions of the Tetrachord

• dicot-meantone tetrachord arena
• dominant-diminished-pajara tetrachord arena
• august-pajara-augene tetrachord arena

Music

Billy Stiltner

• Supersuperwakalix16

Chris Vaisvil

• Improvisational wakalix survey