Gallery of wakalixes

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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

bluesemarch1

bluesemarch2

Hexatonic

ternessbabdec

Heptatonic

dimeanmav1

dimeanmav2

dimeanporc

dimavenipu

poole

waka3-7-17

jademohaporc

ochmohaporc

8-wakalixes

dudon_mohajira117

54-wakalixes

oheptad

uheptad

Nonatonic

mavlim scales

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

semmeanflat1

semmeanflat2

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

Improvisational wakalix survey by Chris Vaisvil

Supersuperwakalix16 by Billy Stiltner