Comma pump examples: Difference between revisions

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__FORCETOC__
__FORCETOC__
Chord names are explained here: [[Color notation#Chord names|Color notation chord names]]
=3-limit examples=
=3-limit examples=


Line 12: Line 15:
These are very familiar from classical and popular music. See [[Meantone comma pump examples]].
These are very familiar from classical and popular music. See [[Meantone comma pump examples]].


==128/125 (augmented)==
==128/125 (augmented or triple gu)==


See [[12edo comma pump examples]].
See [[12edo comma pump examples]].


==250/243 (porcupine)==
==250/243 (porcupine or triple yo)==


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_2.ogg parizek2]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_2.ogg parizek2]


==2048/2025 (diaschismic)==
==2048/2025 (diaschismic or small gugu)==


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_1.ogg parizek1]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_1.ogg parizek1]
Line 61: Line 64:


=7-limit examples=
=7-limit examples=
Every s7 chord can also be thought of as a z7(zg5) chord, e.g. zVIIs7 could be Vz7(zg5).
==126/125 (starling or zogugu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/126.mp3 pump126]''  chords: Ch7 -- zBbs7 -- gEbh7 -- gEbs7 -- [ggGb=ryF#]h7 -- Ch7 -- gEbh7 -- [ggGg=ryF#]h7 -- Ch7


==126/125 (starling)==
Ih7 -- zVIIs7 -- gIIIh7 -- gIIIs7 -- [ggV=ryIV]h7 -- Ih7 -- gIIIh7 -- [ggV=ryIV]h7 -- Ih7
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/126.mp3 pump126]''


{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
|Ih7
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 77: Line 84:
| | 125/72
| | 125/72
|-
|-
|zVIIs7
| | 21/20
| | 21/20
| | 21/16
| | 21/16
Line 87: Line 95:
| | 125/72
| | 125/72
|-
|-
|gIIIh7
| | 21/20
| | 21/20
| | 6/5
| | 6/5
Line 97: Line 106:
| | 25/14
| | 25/14
|-
|-
|gIIIs7
| | 36/35
| | 36/35
| | 6/5
| | 6/5
Line 107: Line 117:
| | 25/14
| | 25/14
|-
|-
|[ggV=ryIV]h7
| | 27/25
| | 27/25
| | 63/50
| | 63/50
Line 117: Line 128:
| | 25/14
| | 25/14
|-
|-
|Ih7
| | 126/125
| | 126/125
| | 63/50
| | 63/50
Line 122: Line 134:
| | 441/250
| | 441/250
| | ~
| | ~
| | 1
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
| | 7/4
| | 7/4
|-
|-
| | 1
|Ih7
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 137: Line 150:
| | 125/72
| | 125/72
|-
|-
|gIIIh7
| | 21/20
| | 21/20
| | 6/5
| | 6/5
Line 147: Line 161:
| | 25/14
| | 25/14
|-
|-
|[ggV=ryIV]h7
| | 27/25
| | 27/25
| | 63/50
| | 63/50
Line 157: Line 172:
| | 25/14
| | 25/14
|-
|-
|Ih7
| | 126/125
| | 126/125
| | 63/50
| | 63/50
Line 162: Line 178:
| | 441/250
| | 441/250
| | ~
| | ~
| | 1
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 168: Line 184:
|}
|}


==225/224 (marvel)==
==225/224 (marvel or ruruyo)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/225.mp3 pump225]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/225.mp3 pump225]''   chords: Ch7 -- zEbs7 -- zgCbh7 -- [zAb=yyG#]s7 -- yEh7 -- yEs7 -- Ch7 -- zEbs7 -- [zAb=yyG#]s7 -- yEs7 -- Ch7
 
Ih7 -- zIIIs7 -- zgIh7 -- [zVI=yyV]s7 -- yIIIh7 -- yIIIs7 -- Ih7 -- zIIIs7 -- [zVI=yyV]s7 -- yIIIs7 -- Ih7


{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
|Ih7
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 183: Line 202:
| | 225/128
| | 225/128
|-
|-
| | 1
|zIIIs7
| | 1/1
| | 7/6
| | 7/6
| | 7/5
| | 7/5
Line 193: Line 213:
| | 225/128
| | 225/128
|-
|-
|zgIh7
| | 14/15
| | 14/15
| | 7/6
| | 7/6
Line 203: Line 224:
| | 105/64
| | 105/64
|-
|-
|[zVI=yyV]s7
| | 14/15
| | 14/15
| | 7/6
| | 7/6
Line 213: Line 235:
| | 25/16
| | 25/16
|-
|-
|yIIIh7
| | 14/15
| | 14/15
| | 49/45
| | 49/45
Line 223: Line 246:
| | 25/16
| | 25/16
|-
|-
|yIIIs7
| | 14/15
| | 14/15
| | 16/15
| | 16/15
Line 233: Line 257:
| | 3/2
| | 3/2
|-
|-
|Ih7
| | 224/225
| | 224/225
| | 56/45
| | 56/45
Line 238: Line 263:
| | 392/225
| | 392/225
| | ~
| | ~
| | 1
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
| | 7/4
| | 7/4
|-
|-
| | 1
|Ih7
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 253: Line 279:
| | 225/128
| | 225/128
|-
|-
| | 1
|zIIIs7
| | 1/1
| | 7/6
| | 7/6
| | 7/5
| | 7/5
Line 263: Line 290:
| | 225/128
| | 225/128
|-
|-
|[zVI=yyV]s7
| | 14/15
| | 14/15
| | 7/6
| | 7/6
Line 273: Line 301:
| | 25/16
| | 25/16
|-
|-
|yIIIs7
| | 14/15
| | 14/15
| | 16/15
| | 16/15
Line 283: Line 312:
| | 3/2
| | 3/2
|-
|-
|Ih7
| | 224/225
| | 224/225
| | 56/45
| | 56/45
Line 288: Line 318:
| | 392/225
| | 392/225
| | ~
| | ~
| | 1
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 294: Line 324:
|}
|}


==245/243 (sensamagic)==
==245/243 (sensamagic or zozoyo)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/245.mp3 pump245]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/245.mp3 pump245]'' chords: Ch7 -- rAh7 -- [rE=zyF]h7 -- yDh7 -- yAh7 -- Ch7 -- [rE=zyF]h7 -- yAh7 -- Ch7
 
Ih7 -- rVIh7 -- [rIII=zyIV]h7 -- yIIh7 -- yVIh7 -- Ih7 -- [rIII=zyIV]h7 -- yVIh7 -- Ih7


{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
|Ih7
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 309: Line 342:
| | 1715/972
| | 1715/972
|-
|-
|rVIh7
| | 15/14
| | 15/14
| | 9/7
| | 9/7
Line 319: Line 353:
| | 140/81
| | 140/81
|-
|-
|[rIII=zyIV]h7
| | 27/28
| | 27/28
| | 9/8
| | 9/8
Line 329: Line 364:
| | 175/108
| | 175/108
|-
|-
|yIIh7
| | 27/28
| | 27/28
| | 54/49
| | 54/49
Line 339: Line 375:
| | 5/3
| | 5/3
|-
|-
|yVIh7
| | 405/392
| | 405/392
| | 243/196
| | 243/196
Line 349: Line 386:
| | 5/3
| | 5/3
|-
|-
|Ih7
| | 243/245
| | 243/245
| | 243/196
| | 243/196
Line 354: Line 392:
| | 243/140
| | 243/140
| | ~
| | ~
| | 1
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
| | 7/4
| | 7/4
|-
|-
| | 1
|Ih7
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 369: Line 408:
| | 1715/972
| | 1715/972
|-
|-
|[rIII=zyIV]h7
| | 27/28
| | 27/28
| | 9/8
| | 9/8
Line 379: Line 419:
| | 175/108
| | 175/108
|-
|-
|yVIh7
| | 405/392
| | 405/392
| | 243/196
| | 243/196
Line 389: Line 430:
| | 5/3
| | 5/3
|-
|-
|Ih7
| | 243/245
| | 243/245
| | 243/196
| | 243/196
Line 394: Line 436:
| | 243/140
| | 243/140
| | ~
| | ~
| | 1
| | 1/1
| | 5/4
| | 5/4
| | 3/2
| | 3/2
Line 420: Line 462:
243/245-243/196-729/490-243/140
243/245-243/196-729/490-243/140


==686/675 (sengic)==
==686/675 (sengic or triple-zo gugu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/686.mp3 pump686]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/686.mp3 pump686]''


==875/864 (keemic)==
==875/864 (keemic or zo triple-yo)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/875.mp3 pump875]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/875.mp3 pump875]''


==1029/1024 (gamelismic)==
==1029/1024 (gamelismic or large triple zo)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1029.mp3 pump1029]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1029.mp3 pump1029]'' chords: Ch7 -- yAs7 -- rDh7 -- ryBs7 -- [rrE=zF]h7 -- zFs7 -- Gh7 -- zBbs7 -- Ch7 -- rDh7 -- [rrE=zF]h7 -- Gh7 -- Ch7
 
Ih7 -- yVIs7 -- rIIh7 -- ryVIIs7 -- [rrIII=zIV]h7 -- zIVs7 -- Vh7 -- zVIIs7 -- Ih7 -- rIIh7 -- [rIII=zIV]h7 -- Vh7 -- Ih7
 
Ih7 = w1 - y3 - w5 - z7 = 1/1-5/4-3/2-7/4


1-5/4-3/2-7/4
yVIs7 = w1 - y3 - ry4 - y6 = 1/1-5/4-10/7-5/3


1-5/4-10/7-5/3
rIIh7 = w1 - r2 - ry4 - r6 = 1/1-8/7-10/7-12/7


1-8/7-10/7-12/7
ryVIIs7 = ry7 - r2 - ry4 - rry5 = 20/21-8/7-10/7-80/49


20/21-8/7-10/7-80/49
rrIIIh7 = rr7 - r2 - rr3 - rry5 = 48/49-8/7-64/49-80/49


48/49-8/7-64/49-80/49
zIVs7 = rrIIIs7 = rr7 - rrr1 - rr3 - rrg5 = 48/49-384/343-64/49-384/245


48/49-384/343-64/49-384/245
Vh7 = rrrIVh7 = rrr1 - rr3 - rrr4 - rrry6 = 384/343-64/49-512/343-640/343


384/343-64/49-512/343-640/343
zVIIs7 = rrVIs7 = rrg1 - rr3 - rrr4 - rr6 = 256/245-64/49-512/343-256/147


256/245-64/49-512/343-256/147
Ih7 = srrrVIIh7 = srrr7 - rrry2 - rrr4 - rr6 = 1024/1029-1280/1029-512/343-256/147


1024/1029-1280/1029-512/343-256/147
Ih7 = 1/1-5/4-3/2-7/4


1-5/4-3/2-7/4
rIIh7 = 1/1-8/7-10/7-12/7


1-8/7-10/7-12/7
rIIIh7 = 48/49-8/7-64/49-80/49


48/49-8/7-64/49-80/49
Vh7 = rrrIVh7 = 384/343-64/49-512/343-640/343


384/343-64/49-512/343-640/343
Ih7 = srrrVIIh7 = 1024/1029-1280/1029-512/343-256/147


1024/1029-1280/1029-512/343-256/147
==1728/1715 (orwellismic or triple-ru gu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1728.mp3 pump1728]''  Ch7 -- zEbs7 -- zEbh7 -- [zzGb=rgF]s7 - rgFh7 -- gAbs7 -- gAbh7 -- Cs7 -- Ch7 -- zEbh7 -- [zzGb=rgF]h7 -- gAbh7 -- Ch7


==1728/1715 (orwellismic)==
Ih7 -- zIIIs7 -- zIIIh7 -- [zzV=rgIV]s7 -- rgIVh7 --  gVIs7 -- gVIh7 -- Is7 -- Ih7 -- zIIIh7 -- [zzV=rgIV]h7 -- gVIh7 -- Ih7
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1728.mp3 pump1728]''


1-5/4-3/2-7/4
Ih7 = w1 - y3 - w5 - z7 = 1/1-5/4-3/2-7/4


1-7/6-7/5-7/4
zIIIs7 = w1 - z3 - zg5 - z7 = 1/1-7/6-7/5-7/4


49/48-7/6-35/24-7/4
zIIIh7 = zz2 - z3 - zy5 - z7 = 49/48-7/6-35/24-7/4


49/48-7/6-49/36-49/30
zzVs7 = zz2 - z3 - zz5 - zzg7 = 49/48-7/6-49/36-49/30


49/48-343/288-49/36-245/144
rgIVh7 = zzVh7 = zz2 - zzz4 - zz5 - zzy7 = 49/48-343/288-49/36-245/144


343/288-49/36-343/216-343/180
gVIs7 = zzzVIIs7 = zzz4 - zz5 - zzz7 - zzzg9 = 343/288-49/36-343/216-343/180


1715/1728-343/288-2401/1728-343/216
gVIh7 = zzzVIIh7 = zzzy2 - zzz4 - z<sup>4</sup>6 - zzz7 = 1715/1728-343/288-2401/1728-343/216


1715/1728-343/288-1715/1152-245/144
Is7 = zzzyIIs7 = zzzy2 - zzz4 - zzzy6 - zzy7 = 1715/1728-343/288-1715/1152-245/144


1715/1728-8575/6912-1715/1152-12005/6912
Ih7 = zzzyIIh7 = zzzy2 - zzzyy4 - zzzy6 - zzzzy8 = 1715/1728-8575/6912-1715/1152-12005/6912


1-5/4-3/2-7/4
Ih7 = 1/1-5/4-3/2-7/4


49/48-7/6-35/24-7/4
zIIIh7 = 49/48-7/6-35/24-7/4


49/48-343/288-49/36-245/144
rgIVh7 = zzVh7 = 49/48-343/288-49/36-245/144


1715/1728-343/288-2401/1728-343/216
gVIh7 = zzzVIIh7 = 1715/1728-343/288-2401/1728-343/216


1715/1728-8575/6912-1715/1152-12005/6912
Ih7 = zzzyIIh7 = 1715/1728-8575/6912-1715/1152-12005/6912


==2401/2400 (breed)==
==2401/2400 (breed or quadzo gugu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/2401.mp3 pump2401]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/2401.mp3 pump2401]'' Ih7 --


1-5/4-3/2-7/4
Ih7 = w1 - y3 - w5 - z7 = 1/1-5/4-3/2-7/4


21/20-21/16-3/2-7/4
21/20-21/16-3/2-7/4
Line 758: Line 804:


==676/675 (parizeksmic)==
==676/675 (parizeksmic)==
''[http://micro.soonlabel.com/petr_parizek/pp_pump_675.mp3 http://micro.soonlabel.com/petr_parizek/pp_pump_675.mp3]''
''http://micro.soonlabel.com/petr_parizek/pp_pump_675.mp3''


[[Category:comma]]
[[Category:comma]]