List of weak Fokker blocks: Difference between revisions
Wikispaces>genewardsmith **Imported revision 315526698 - Original comment: ** |
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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. | |||
=12 note blocks= | == 12 note blocks == | ||
== | === {{val|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 | ||
<<4 0 4 -9 -5 9|| Commas: 15/14, 625/512 Badness: 0.0942 | <<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 | <<6 6 0 -4 -17 -17|| Commas: 125/108, 160/147 Badness: 0.2363 | ||
=14 note blocks= | ==== Scales ==== | ||
== | [[glumma|glumma]] | ||
===Temperaments=== | |||
[[glamma|glamma]] | |||
== 14 note blocks == | |||
=== {{val|14 23 36 40}} === | |||
==== 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 | ||
<<3 -2 4 -11 -2 16|| Commas: 56/45, 256/175 Badness: 0.2857 | <<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 | <<5 6 2 -3 -11 -12|| Commas: 63/50, 288/245 Badness: 0.3296 | ||
=19 note blocks= | ==== Scales ==== | ||
==<19 29 44 55 | [[mandala|mandala]] | ||
===Temperaments=== | |||
[[mandela|mandela]] | |||
[[dwart14block|dwart14block]] | |||
== 15 note blocks == | |||
=== {{val|15 22 35}} === | |||
==== Scales ==== | |||
[[diamond7_126|diamond7_126]] | |||
=== {{val|15 22 32}} === | |||
==== Scales ==== | |||
[[diamond7_225|diamond7_225]] | |||
== 16 note blocks == | |||
=== {{val|16 25 36}} === | |||
==== Temperaments ==== | |||
<1 4 4| Comma: 81/80 | |||
<-9 0 4| Comma 625/512 | |||
==== Scales ==== | |||
[[genus3375|genus3375]] | |||
== 19 note blocks == | |||
=== {{val|19 30 45}} === | |||
==== Temperaments ==== | |||
<<2 3 0|| Comma: 27/25 | |||
<<5 -2 -15|| Comma: 32768/28125 | |||
==== Scales ==== | |||
[[bugblock19|bugblock19]] | |||
=== {{val|19 29 44 55}} === | |||
==== 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 | ||
<<1 -7 -4 -13 -9 11|| Commas: 135/112, 160/147 Badness: 0.2663 | <<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 | <<4 10 3 6 -7 -22|| Commas: 160/147, 243/200 Badness: 0.3893 | ||
===Scales=== | |||
[[diamond9block]] | ==== Scales ==== | ||
== | [[diamond9block|diamond9block]] | ||
===Temperaments=== | |||
=== {{val|19 30 42 55}} === | |||
==== 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 | ||
<<1 9 5 12 5 -15|| Commas: 60/49, 243/224 Badness: 0.3239 | <<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 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 | <<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 | <<1 -10 5 -18 5 40|| Commas: 243/224, 256/245 Badness: 0.2662 | ||
===Scales=== | |||
[[superclipgenus19]] | ==== Scales ==== | ||
=20 note blocks= | [[superclipgenus19|superclipgenus19]] | ||
== | |||
===Temperaments=== | == 20 note blocks == | ||
=== {{val|20 32 45 54}} === | |||
==== 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 | ||
<<4 5 -2 -1 -14 -18|| Commas: 147/128, 175/144 Badness: 0.2244 | <<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 | <<4 10 8 7 2 -9|| Commas: 98/81, 200/189 Badness: 0.2556 | ||
===Scales=== | |||
[[stellblock]] | ==== Scales ==== | ||
== | [[stellblock|stellblock]] | ||
===Temperaments=== | |||
=== {{val|20 31 46 59}} === | |||
==== 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 | ||
<<3 -2 7 -10 2 22|| Commas: 135/112, 192/175 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 | <<4 4 -4 -3 -18 -21|| Commas: 192/175, 200/189 Badness: 0.1564 | ||
===Scales=== | |||
[[diamondupblock]] | ==== Scales ==== | ||
[[diamondupblock|diamondupblock]] | |||
== 21 note blocks == | |||
=== {{val|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|johnston_21]] | |||
== 25 note blocks == | |||
=== {{val|25 40 58}} === | |||
==== Temperaments ==== | |||
<<0 5 8|| Comma: 256/243 | |||
& | |||
<<5 1 -10|| Comma: 3125/3072 | |||
& | |||
==== Scales ==== | |||
[[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
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
15 note blocks
⟨15 22 35]
Scales
⟨15 22 32]
Scales
16 note blocks
⟨16 25 36]
Temperaments
<1 4 4| Comma: 81/80
<-9 0 4| Comma 625/512
Scales
19 note blocks
⟨19 30 45]
Temperaments
<<2 3 0|| Comma: 27/25
<<5 -2 -15|| Comma: 32768/28125
Scales
⟨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
⟨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
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
⟨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
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
25 note blocks
⟨25 40 58]
Temperaments
<<0 5 8|| Comma: 256/243
<<5 1 -10|| Comma: 3125/3072
Scales
| 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 | |