Gallery of Wakalixes

From TD Xenharmonic Wiki
Jump to navigation Jump to search

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[edit]

major and minor triads

Tetratonic[edit]

addedsixth

Super8-wakalixes[edit]

major and minor tetrads

supermajor and subminor tetrads

Pentatonic[edit]

fathbugmean1

fathbugmean2

otonalpentad

utonalpentad

bluesemarch1

bluesemarch2

Hexatonic[edit]

ternessbabdec

Heptatonic[edit]

dimeanmav1

dimeanmav2

dimeanporc

dimavenipu

poole

waka3-7-17

jademohaporc

ochmohaporc

8-wakalixes[edit]

dudon_mohajira117

54-wakalixes[edit]

oheptad

uheptad

Nonatonic[edit]

mavlim scales

Decatonic[edit]

line10

cx4

Undecatonic[edit]

cxi1

cxi2

cxi3

cxi4

Dodecatonic[edit]

biggulp

meansruhelm

prism

thirteendene

wilson_class

augdimhextrug

parizek-miller hexagon

ramis

hahnZ

Superwakalixes[edit]

domdimpajinjmean

domdimpajinjschis

collapsar

13-tone[edit]

dwarf13_7d

Superwakalix[edit]

supertriskaideka

14-tone[edit]

parrot

15-tone[edit]

blackopkeegil1

blackopkeegil2

primewak15

16-tone[edit]

Supersuperwakalix[edit]

supersuper16

17-tone[edit]

cartwheel

parizekhex

wilcent17

19-tone[edit]

godmeankeeflat1

godmeankeeflat2

godmeankeeflat3

semmeanflat1

semmeanflat2

Superwakalix[edit]

superclipgenus19

22-tone[edit]

pajhedgepythquas1

pajhedgepythquas2

Superwakalix[edit]

hppshq

31-tone[edit]

Superwakalix[edit]

meansqunumigpopmo

Fifth-repeating wakalixes[edit]

superfif7a

superfif7b

Divisions of the Tetrachord[edit]

dicot-meantone tetrachord arena

dominant-diminished-pajara tetrachord arena

august-pajara-augene tetrachord arena

Music[edit]

Improvisational wakalix survey by Chris Vaisvil

Supersuperwakalix16 by Billy Stiltner