List of weak Fokker blocks: Difference between revisions

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{{Legacy|Weak_Fokker_blocks}}
A weak Fokker block is a [[Fokker block]] which is only weakly [[epimorphic]]. This does not prevent some of them from being quite interesting as [[scale]]s.
By a ''weak Fokker block'' is meant a Fokker block which is only [[Periodic_scale#Epimorphic|weakly epimorphic]]. This does not prevent some of them from being quite interesting as scales.


=12 note blocks=
== 12 note blocks ==
 
=== {{val|12 19 27 34}} ===
==<12 19 27 34|==
==== Temperaments ====
 
===Temperaments===
<<1 -3 -2 -7 -6 4|| Commas: 15/14, 64/63 Badness: 0.0427
<<1 -3 -2 -7 -6 4|| Commas: 15/14, 64/63 Badness: 0.0427


Line 13: Line 10:
<<6 6 0 -4 -17 -17|| Commas: 125/108, 160/147 Badness: 0.2363
<<6 6 0 -4 -17 -17|| Commas: 125/108, 160/147 Badness: 0.2363


===Scales===
==== Scales ====
[[glumma|glumma]]
[[glumma|glumma]]


[[glamma|glamma]]
[[glamma|glamma]]


=14 note blocks=
== 14 note blocks ==
 
=== {{val|14 23 36 40}} ===
==<14 23 36 40|==
==== Temperaments ====
 
===Temperaments===
<<1 4 6 4 7 4|| Commas: 56/45, 63/50 Badness: 0.1735
<<1 4 6 4 7 4|| Commas: 56/45, 63/50 Badness: 0.1735


Line 29: Line 24:
<<5 6 2 -3 -11 -12|| Commas: 63/50, 288/245 Badness: 0.3296
<<5 6 2 -3 -11 -12|| Commas: 63/50, 288/245 Badness: 0.3296


===Scales===
==== Scales ====
[[mandala|mandala]]
[[mandala|mandala]]


Line 36: Line 31:
[[dwart14block|dwart14block]]
[[dwart14block|dwart14block]]


=15 note blocks=
== 15 note blocks ==
 
=== {{val|15 22 35}} ===
==<15 22 35|==
==== Scales ====
 
===Scales===
[[diamond7_126|diamond7_126]]
[[diamond7_126|diamond7_126]]


==<15 22 32|==
=== {{val|15 22 32}} ===
 
==== Scales ====
===Scales===
[[diamond7_225|diamond7_225]]
[[diamond7_225|diamond7_225]]


=16 note blocks=
== 16 note blocks ==
 
=== {{val|16 25 36}} ===
==<16 25 36|==
==== Temperaments ====
 
===Temperaments===
<1 4 4| Comma: 81/80
<1 4 4| Comma: 81/80


<-9 0 4| Comma 625/512
<-9 0 4| Comma 625/512


===Scales===
==== Scales ====
[[genus3375|genus3375]]
[[genus3375|genus3375]]


=19 note blocks=
== 19 note blocks ==
 
=== {{val|19 30 45}} ===
==<19 30 45|==
==== Temperaments ====
 
===Temperaments===
<<2 3 0|| Comma: 27/25
<<2 3 0|| Comma: 27/25


<<5 -2 -15|| Comma: 32768/28125
<<5 -2 -15|| Comma: 32768/28125


===Scales===
==== Scales ====
[[bugblock19|bugblock19]]
[[bugblock19|bugblock19]]


==<19 29 44 55|==
=== {{val|19 29 44 55}} ===
 
==== Temperaments ====
===Temperaments===
<<3 -2 7 -10 2 22|| Commas: 135/112, 192/175 Badness: 0.2892
<<3 -2 7 -10 2 22|| Commas: 135/112, 192/175 Badness: 0.2892


Line 81: Line 68:
<<4 10 3 6 -7 -22|| Commas: 160/147, 243/200 Badness: 0.3893
<<4 10 3 6 -7 -22|| Commas: 160/147, 243/200 Badness: 0.3893


===Scales===
==== Scales ====
[[diamond9block|diamond9block]]
[[diamond9block|diamond9block]]


==<19 30 42 55|==
=== {{val|19 30 42 55}} ===
 
==== Temperaments ====
===Temperaments===
<<4 -2 1 -12 -10 8|| Commas: 60/49, 75/64 Badness: 0.2626
<<4 -2 1 -12 -10 8|| Commas: 60/49, 75/64 Badness: 0.2626


Line 97: Line 83:
<<1 -10 5 -18 5 40|| Commas: 243/224, 256/245 Badness: 0.2662
<<1 -10 5 -18 5 40|| Commas: 243/224, 256/245 Badness: 0.2662


===Scales===
==== Scales ====
[[superclipgenus19|superclipgenus19]]
[[superclipgenus19|superclipgenus19]]


=20 note blocks=
== 20 note blocks ==
 
=== {{val|20 32 45 54}} ===
==<20 32 45 54|==
==== Temperaments ====
 
===Temperaments===
<<4 0 8 -9 2 18|| Commas: 98/81, 175/144 Badness: 0.2355
<<4 0 8 -9 2 18|| Commas: 98/81, 175/144 Badness: 0.2355


Line 111: Line 95:
<<4 10 8 7 2 -9|| Commas: 98/81, 200/189 Badness: 0.2556
<<4 10 8 7 2 -9|| Commas: 98/81, 200/189 Badness: 0.2556


===Scales===
==== Scales ====
[[stellblock|stellblock]]
[[stellblock|stellblock]]


==<20 31 46 59|==
=== {{val|20 31 46 59}} ===
 
==== Temperaments ====
===Temperaments===
<<1 6 9 7 11 3|| Commas: 125/98, 135/112 Badness: 0.2416
<<1 6 9 7 11 3|| Commas: 125/98, 135/112 Badness: 0.2416


Line 123: Line 106:
<<4 4 -4 -3 -18 -21|| Commas: 192/175, 200/189 Badness: 0.1564
<<4 4 -4 -3 -18 -21|| Commas: 192/175, 200/189 Badness: 0.1564


===Scales===
==== Scales ====
[[diamondupblock|diamondupblock]]
[[diamondupblock|diamondupblock]]


=21 note blocks=
== 21 note blocks ==
 
=== {{val|21 34 52}} ===
==<21 34 52|==
==== Temperaments ====
 
===Temperaments===
<<6 3 -10||  Comma: 27648/15625 Badness: 1.7438
<<6 3 -10||  Comma: 27648/15625 Badness: 1.7438


<<1 4 4|| Comma: 81/80 Badness: 0.0074
<<1 4 4|| Comma: 81/80 Badness: 0.0074


===Scales===
==== Scales ====
[[johnston_21|johnston_21]]
[[johnston_21|johnston_21]]


=25 note blocks=
== 25 note blocks ==
 
=== {{val|25 40 58}} ===
==<25 40 58|==
==== Temperaments ====
 
===Temperaments===
<<0 5 8|| Comma: 256/243
<<0 5 8|| Comma: 256/243


<<5 1 -10|| Comma: 3125/3072
<<5 1 -10|| Comma: 3125/3072


===Scales===
==== Scales ====
[[dwarf25_5|dwarf25_5]]
[[dwarf25_5|dwarf25_5]]
{{Navbox scale gallery}}
[[Category:Fokker block]]
[[Category:Lists of scales]]
[[Category:Lists of temperaments]]

Latest revision as of 03:04, 28 September 2025

A weak Fokker block is a Fokker block which is only weakly epimorphic. This does not prevent some of them from being quite interesting as scales.

12 note blocks

⟨12 19 27 34]

Temperaments

<<1 -3 -2 -7 -6 4|| Commas: 15/14, 64/63 Badness: 0.0427

<<4 0 4 -9 -5 9|| Commas: 15/14, 625/512 Badness: 0.0942

<<6 6 0 -4 -17 -17|| Commas: 125/108, 160/147 Badness: 0.2363

Scales

glumma

glamma

14 note blocks

⟨14 23 36 40]

Temperaments

<<1 4 6 4 7 4|| Commas: 56/45, 63/50 Badness: 0.1735

<<3 -2 4 -11 -2 16|| Commas: 56/45, 256/175 Badness: 0.2857

<<5 6 2 -3 -11 -12|| Commas: 63/50, 288/245 Badness: 0.3296

Scales

mandala

mandela

dwart14block

15 note blocks

⟨15 22 35]

Scales

diamond7_126

⟨15 22 32]

Scales

diamond7_225

16 note blocks

⟨16 25 36]

Temperaments

<1 4 4| Comma: 81/80

<-9 0 4| Comma 625/512

Scales

genus3375

19 note blocks

⟨19 30 45]

Temperaments

<<2 3 0|| Comma: 27/25

<<5 -2 -15|| Comma: 32768/28125

Scales

bugblock19

⟨19 29 44 55]

Temperaments

<<3 -2 7 -10 2 22|| Commas: 135/112, 192/175 Badness: 0.2892

<<1 -7 -4 -13 -9 11|| Commas: 135/112, 160/147 Badness: 0.2663

<<4 10 3 6 -7 -22|| Commas: 160/147, 243/200 Badness: 0.3893

Scales

diamond9block

⟨19 30 42 55]

Temperaments

<<4 -2 1 -12 -10 8|| Commas: 60/49, 75/64 Badness: 0.2626

<<1 9 5 12 5 -15|| Commas: 60/49, 243/224 Badness: 0.3239

<<2 -1 10 -6 10 25|| Commas: 75/64, 175/162 Badness: 0.2261

<<2 -1 -9 -6 -20 -17|| Commas: 75/64, 250/189 Badness: 0.4135

<<1 -10 5 -18 5 40|| Commas: 243/224, 256/245 Badness: 0.2662

Scales

superclipgenus19

20 note blocks

⟨20 32 45 54]

Temperaments

<<4 0 8 -9 2 18|| Commas: 98/81, 175/144 Badness: 0.2355

<<4 5 -2 -1 -14 -18|| Commas: 147/128, 175/144 Badness: 0.2244

<<4 10 8 7 2 -9|| Commas: 98/81, 200/189 Badness: 0.2556

Scales

stellblock

⟨20 31 46 59]

Temperaments

<<1 6 9 7 11 3|| Commas: 125/98, 135/112 Badness: 0.2416

<<3 -2 7 -10 2 22|| Commas: 135/112, 192/175 Badness: 0.2416

<<4 4 -4 -3 -18 -21|| Commas: 192/175, 200/189 Badness: 0.1564

Scales

diamondupblock

21 note blocks

⟨21 34 52] 

Temperaments

<<6 3 -10|| Comma: 27648/15625 Badness: 1.7438

<<1 4 4|| Comma: 81/80 Badness: 0.0074

Scales

johnston_21

25 note blocks

⟨25 40 58]

Temperaments

<<0 5 8|| Comma: 256/243

<<5 1 -10|| Comma: 3125/3072

Scales

dwarf25_5


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
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