Gallery of wakalixes: Difference between revisions
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Fokker blocks exist in tempered scales |
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A '''wakalix''' is a [[Fokker block]] | A '''wakalix''' is a scale which is a [[Fokker block]] in multiple ways, so that it belongs to more than one [[Fokker blocks#Arena|Fokker arena]]. In just intonation, a Fokker block is a JI scale in a JI group of rank ''r'', such that there are {{nowrap|''r'' − 1}} rank-two temperaments which temper it to a MOS. If there are more than {{nowrap|''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 == | == Tritonic == | ||
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* [[meansruhelm]]1 | * [[meansruhelm]]1 | ||
* [[meansruhelm2]] | * [[meansruhelm2]] | ||
* [[prism]] | * [[prism (scale)|prism]] | ||
* [[thirteendene]] | * [[thirteendene]] | ||
* [[wilson class]] | * [[wilson class]] | ||
| Line 135: | Line 135: | ||
[[Category:Fokker block]] | [[Category:Fokker block]] | ||
[[Category:Just intonation scales]] | [[Category:Just intonation scales]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
Latest revision as of 02:03, 8 March 2026
A wakalix is a scale which is a Fokker block in multiple ways, so that it belongs to more than one Fokker arena. In just intonation, 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
- dimeanmav1
- dimeanmav2
- dimeanporc
- dimavenipu
- disixporc1
- disixporc2
- poole
- waka3-7-17
- jademohaporc
- ochmohaporc
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
Music
| View • Talk • EditScale galleries | |
|---|---|
| JI scales | 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI Full list: Category:Just intonation scales |
| Tempered scales | 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered Full list: Category:Tempered scales |
| Scales in EDOs | in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80 |
All other scale gallery pages are included in Category:Lists of scales | |