Comma pump examples: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
TallKite (talk | contribs)
autopatrolled, Sysops
3,990 edits
adding color names and color chord names
TallKite (talk | contribs)
autopatrolled, Sysops
3,990 edits
more of the same
Line 29: Line 29:
Also see [[12edo comma pump examples]].
Also see [[12edo comma pump examples]].


==3125/3072 (magic)==
==3125/3072 (magic or large quintyo)==


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_4.ogg parizek4]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_4.ogg parizek4]


==15625/15552 (hanson)==
==15625/15552 (hanson or sixfold yo)==


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_6.ogg parizek6]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_6.ogg parizek6]
Line 39: Line 39:
[http://snd.sc/maFX0r battaglia-hanson] {{dead link}}
[http://snd.sc/maFX0r battaglia-hanson] {{dead link}}


==16875/16384 (negri)==
==16875/16384 (negri or large quadyo)==


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_3.ogg parizek3]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_3.ogg parizek3]


==20000/19683 (tetracot)==
==20000/19683 (tetracot or small quadyo)==


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_7.ogg parizek7]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_7.ogg parizek7]


==78732/78125 (sensi)==
==78732/78125 (sensi or sevenfold gu)==


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_5.ogg parizek5]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_5.ogg parizek5]
Line 53: Line 53:
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/78732.mp3 pump78732]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/78732.mp3 pump78732]''


==1600000/1594323 (amity)==
==1600000/1594323 (amity or small quintyo)==


[http://micro.soonlabel.com/gene_ward_smith/pumps/pp_amity_pump.ogg amity]
[http://micro.soonlabel.com/gene_ward_smith/pumps/pp_amity_pump.ogg amity]
Line 59: Line 59:
[http://dl.dropbox.com/u/8497979/pp_amity_tetrads.ogg tetradic pump] {{dead link}}
[http://dl.dropbox.com/u/8497979/pp_amity_tetrads.ogg tetradic pump] {{dead link}}


==2109375/2097152 (semicomma, 5-limit orwell)==
==2109375/2097152 (semicomma, 5-limit orwell or large sevenfold yo)==


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pp_orwell_pump.ogg semicomma]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pp_orwell_pump.ogg semicomma]
Line 441: Line 441:
| | 7/4
| | 7/4
|}
|}
1-5/4-3/2-7/4
15/14-9/7-3/2-12/7
27/28-9/8-9/7-45/28
27/28-54/49-135/98-81/49
405/392-243/196-81/56-81/49
243/245-243/196-729/490-243/140
1-5/4-3/2-7/4
27/28-9/8-9/7-45/28
405/392-243/196-81/56-81/49
243/245-243/196-729/490-243/140


==686/675 (sengic or triple-zo gugu)==
==686/675 (sengic or triple-zo gugu)==
Line 483: Line 463:
rrIIIh7 = rr7 - r2 - rr3 - rry5 = 48/49-8/7-64/49-80/49
rrIIIh7 = rr7 - r2 - rr3 - rry5 = 48/49-8/7-64/49-80/49


zIVs7 = rrIIIs7 = rr7 - rrr1 - rr3 - rrg5 = 48/49-384/343-64/49-384/245
zIVs7 = rrIIIs7 = rr7 - r<sup>3</sup>1 - rr3 - rrg5 = 48/49-384/343-64/49-384/245


Vh7 = rrrIVh7 = rrr1 - rr3 - rrr4 - rrry6 = 384/343-64/49-512/343-640/343
Vh7 = r<sup>3</sup>IVh7 = r<sup>3</sup>1 - rr3 - r<sup>3</sup>4 - r<sup>3</sup>y6 = 384/343-64/49-512/343-640/343


zVIIs7 = rrVIs7 = rrg1 - rr3 - rrr4 - rr6 = 256/245-64/49-512/343-256/147
zVIIs7 = rrVIs7 = rrg1 - rr3 - r<sup>3</sup>4 - rr6 = 256/245-64/49-512/343-256/147


Ih7 = srrrVIIh7 = srrr7 - rrry2 - rrr4 - rr6 = 1024/1029-1280/1029-512/343-256/147
Ih7 = sr<sup>3</sup>VIIh7 = sr<sup>3</sup>7 - r<sup>3</sup>y2 - r<sup>3</sup>4 - rr6 = 1024/1029-1280/1029-512/343-256/147


Ih7 = 1/1-5/4-3/2-7/4
Ih7 = 1/1-5/4-3/2-7/4
Line 497: Line 477:
rIIIh7 = 48/49-8/7-64/49-80/49
rIIIh7 = 48/49-8/7-64/49-80/49


Vh7 = rrrIVh7 = 384/343-64/49-512/343-640/343
Vh7 = r<sup>3</sup>IVh7 = 384/343-64/49-512/343-640/343


Ih7 = srrrVIIh7 = 1024/1029-1280/1029-512/343-256/147
Ih7 = sr<sup>3</sup>VIIh7 = 1024/1029-1280/1029-512/343-256/147


==1728/1715 (orwellismic or triple-ru gu)==
==1728/1715 (orwellismic or triple-ru gu)==
Line 514: Line 494:
zzVs7 = zz2 - z3 - zz5 - zzg7 = 49/48-7/6-49/36-49/30
zzVs7 = zz2 - z3 - zz5 - zzg7 = 49/48-7/6-49/36-49/30


rgIVh7 = zzVh7 = zz2 - zzz4 - zz5 - zzy7 = 49/48-343/288-49/36-245/144
rgIVh7 = zzVh7 = zz2 - z<sup>3</sup>4 - zz5 - zzy7 = 49/48-343/288-49/36-245/144


gVIs7 = zzzVIIs7 = zzz4 - zz5 - zzz7 - zzzg9 = 343/288-49/36-343/216-343/180
gVIs7 = z<sup>3</sup>VIIs7 = z<sup>3</sup>4 - zz5 - z<sup>3</sup>7 - z<sup>3</sup>g9 = 343/288-49/36-343/216-343/180


gVIh7 = zzzVIIh7 = zzzy2 - zzz4 - z<sup>4</sup>6 - zzz7 = 1715/1728-343/288-2401/1728-343/216
gVIh7 = z<sup>3</sup>VIIh7 = z<sup>3</sup>y2 - z<sup>3</sup>4 - z<sup>4</sup>6 - zzz7 = 1715/1728-343/288-2401/1728-343/216


Is7 = zzzyIIs7 = zzzy2 - zzz4 - zzzy6 - zzy7 = 1715/1728-343/288-1715/1152-245/144
Is7 = z<sup>3</sup>yIIs7 = z<sup>3</sup>y2 - z<sup>3</sup>4 - z<sup>3</sup>y6 - zzy7 = 1715/1728-343/288-1715/1152-245/144


Ih7 = zzzyIIh7 = zzzy2 - zzzyy4 - zzzy6 - zzzzy8 = 1715/1728-8575/6912-1715/1152-12005/6912
Ih7 = z<sup>3</sup>yIIh7 = z<sup>3</sup>y2 - z<sup>3</sup>yy4 - z<sup>3</sup>y6 - z<sup>4</sup>y8 = 1715/1728-8575/6912-1715/1152-12005/6912


Ih7 = 1/1-5/4-3/2-7/4
Ih7 = 1/1-5/4-3/2-7/4
Line 530: Line 510:
rgIVh7 = zzVh7 = 49/48-343/288-49/36-245/144
rgIVh7 = zzVh7 = 49/48-343/288-49/36-245/144


gVIh7 = zzzVIIh7 = 1715/1728-343/288-2401/1728-343/216
gVIh7 = z<sup>3</sup>VIIh7 = 1715/1728-343/288-2401/1728-343/216


Ih7 = zzzyIIh7 = 1715/1728-8575/6912-1715/1152-12005/6912
Ih7 = z<sup>3</sup>yIIh7 = 1715/1728-8575/6912-1715/1152-12005/6912


==2401/2400 (breed or quadzo gugu)==
==2401/2400 (breed or quadzo gugu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/2401.mp3 pump2401]'' Ih7 --  
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/2401.mp3 pump2401]'' chords: Ch7 -- zBbs7 -- zgGbh7 -- zzDbs7 -- [zzgFb=rryD#]h7 -- ryC#s7 -- rAh7 -- yEs7 -- Gh7 -- zBbs7 -- Ch7 -- zgGbh7 -- [zzgFb=rryD#]h7 -- rAh7 -- Gh7 -- Ch7
 
Ih7 -- zVIIs7 -- zgVh7 -- zzIIs7 -- [zzgIV=rryII]h7 -- ryIs7 -- rVIh7 -- yIIIs7 -- Vh7 -- zVIIs7 -- Ih7 -- zgVh7 -- [zzgIV=rryII]h7 -- rVIh7 -- Vh7 -- Ih7
{| class="wikitable"
|+
|Ih7
|1/1
|5/4
|3/2
|7/4
|
|
|
|
|
|-
|zVIIs7
|21/20
|21/16
|3/2
|7/4
|
|
|
|
|
|-
|zgVh7
|21/20
|49/40
|7/5
|7/4
|
|
|
|
|
|-
|zzIIs7
|49/48
|49/40
|49/32
|7/4
|
|
|
|
|
|-
|[zzgIV=rryII]h7
|343/320
|49/40
|49/32
|147/80
|~
|15/14
|60/49
|75/49
|90/49
|-
|ryIs7
|343/320
|1029/800
|1029/640
|147/80
|~
|15/14
|9/7
|45/28
|90/49
|-
|rVIh7
|343/320
|1029/800
|2401/1600
|343/200
|~
|15/14
|9/7
|3/2
|12/7
|-
|yIIIs7
|343/320
|2401/1920
|2401/1600
|2401/1280
|~
|15/14
|5/4
|3/2
|15/8
|-
|Vh7
|7203/6400
|16807/12800
|2401/1600
|2401/1280
|~
|9/8
|21/16
|3/2
|15/8
|-
|zVIIs7
|16807/16000
|16807/12800
|2401/1600
|16807/9600
|~
|21/20
|21/16
|3/2
|7/4
|-
|Ih7
|2401/2400
|2401/1920
|2401/1600
|16807/9600
|~
|1/1
|5/4
|3/2
|7/4
|-
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|}
Ih7 = w1 - y3 - w5 - z7 = 1/1-5/4-3/2-7/4


Ih7 = w1 - y3 - w5 - z7 = 1/1-5/4-3/2-7/4
zVIIs7 = zg2 - z4 - w5 - z7 = 21/20-21/16-3/2-7/4


21/20-21/16-3/2-7/4
zgVh7 = zg2 - zzg4 - zg5 - z7 = 21/20-49/40-7/5-7/4


21/20-49/40-7/5-7/4
zzIIs7 = zz2 - zzg4 - zz6 - z7 = 49/48-49/40-49/32-7/4


49/48-49/40-49/32-7/4
rryII = zzgIVh7 = z<sup>3</sup>g3 - zzg4 - zz6 - zzg8 = 343/320-49/40-49/32-147/80


343/320-49/40-49/32-147/80
ryIs7 = z<sup>3</sup>gIIIs7 = z<sup>3</sup>g3 - z<sup>3</sup>gg5 - z<sup>3</sup>g7 - zzg8 = 343/320-1029/800-1029/640-147/80


343/320-1029/800-1029/640-147/80
rVIh7 = z<sup>3</sup>ggIh7 = z<sup>3</sup>g3 - z<sup>3</sup>gg5 - z<sup>4</sup>gg7 - z<sup>3</sup>gg8 = 343/320-1029/800-2401/1600-343/200


343/320-1029/800-2401/1600-343/200
yIIIs7 = z<sup>4</sup>gVs7 = z<sup>3</sup>g3 - z<sup>4</sup>g5 - z<sup>4</sup>gg7 - z<sup>4</sup>g9 = 343/320-2401/1920-2401/1600-2401/1280


343/320-2401/1920-2401/1600-2401/1280
Vh7 = z<sup>4</sup>ggVIIh7 = z<sup>4</sup>gg4 - z<sup>5</sup>gg6 - z<sup>4</sup>gg7 - z<sup>4</sup>g9 = 7203/6400-16807/12800-2401/1600-2401/1280


7203/6400-16807/12800-2401/1600-2401/1280
zVIIs7 = z<sup>5</sup>ggIIs7 = z<sup>5</sup>g<sup>3</sup>4 - z<sup>5</sup>gg6 - z<sup>4</sup>gg7 - z<sup>5</sup>gg9 = 16807/16000-16807/12800-2401/1600-16807/9600


16807/16000-16807/12800-2401/1600-16807/9600
Ih7 = z<sup>4</sup>ggIIIh7 = 2401/2400-2401/1920-2401/1600-16807/9600


2401/2400-2401/1920-2401/1600-16807/9600
Ih7 = 1/1-5/4-3/2-7/4


1-5/4-3/2-7/4 21/20-49/40-7/5-7/4
zgVh7 = 21/20-49/40-7/5-7/4


343/320-49/40-49/32-147/80
rryII = zzgIVh7 = 343/320-49/40-49/32-147/80


2401/1600-343/200-343/160-1029/400
rVIh7 = 2401/1600-343/200-343/160-1029/400


7203/6400-16807/12800-2401/1600-2401/1280
Vh7 = z<sup>4</sup>ggVIIh7 = 7203/6400-16807/12800-2401/1600-2401/1280


2401/2400-2401/1920-2401/1600-16807/9600
Ih7 = z<sup>4</sup>ggIIIh7 = 2401/2400-2401/1920-2401/1600-16807/9600


==3125/3087 (gariboh)==
==3125/3087 (gariboh or triple-ru quintyo)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/3125.mp3 pump3125]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/3125.mp3 pump3125]''


==3136/3125 (hemimean)==
==3136/3125 (hemimean or zozo quintgu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/3136.mp3 pump3136]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/3136.mp3 pump3136]'' chords: Ch7 -- zEbs7 -- gAbh7 -- zgCbs7 -- zggEbbh7 -- zggEbbs7 -- [zg<sup>3</sup>Cbb=ryyA#]h7 -- yyG#s7 -- yEh7 -- yEs7 -- Ch7 --    -- Ch7 -- gAbh7 -- zggEbbh7 -- [zg<sup>3</sup>Cbb=ryyA#]h7 -- yEh7 -- Ch7


1-5/4-3/2-7/4
Ih7 -- zIIIs7 -- gVIh7 -- zgIs7 -- zggIIIh7 -- zggIIIs7 -- [zg<sup>3</sup>I=ryyVI]h7 -- yyVs7 -- yIIIh7 -- yIIIs7 -- Ih7 -- gVIh7 -- zggIIIh7 -- [zg<sup>3</sup>I=ryyVI]h7 --    -- yIIIh7 -- Ih7
 
{| class="wikitable"
1-7/6-7/5-7/4
|+
 
|Ih7
1-6/5-7/5-8/5
|1/1
 
|5/4
14/15,28/25-7/5-8/5
|3/2
 
|7/4
49/50-28/25-7/5-42/25
|
 
|
24/25-28/25-168/125-42/25
|
 
|
28/25-168/125-196/125-224/125
|
 
|-
147/125-168/125-196/125-1176/625
|zIIIs7
 
|1/1
686/625-784/625-196/125-1176/625
|7/6
 
|7/5
672/625-784/625-4704/3125-1176/625
|7/4
 
|
3136/3125-784/625-4704/3125-5488/3125
|
 
|
1-5/4-3/2-7/4
|
 
|
1-6/5-7/5-8/5
|-
 
|gVIh7
28/25-7/5-42/25-49/25
|1/1
 
|6/5
28/25-168/125-196/125-224/125
|7/5
 
|8/5
686/625-784/625-196/125-1176/625
|
 
|
3136/3125-784/625-4704/3125-5488/3125
|
|
|
|-
|zgIs7
|14/15
|28/25
|7/5
|8/5
|
|
|
|
|
|-
|zggIIIh7
|49/50
|28/25
|7/5
|42/25
|
|
|
|
|
|-
|zggIIIs7
|24/25
|28/25
|168/125
|42/25
|
|
|
|
|
|-
|[zg<sup>3</sup>I=ryyVI]h7
|28/25
|168/125
|196/125
|224/125
|~
|125/112
|75/56
|25/16
|25/14
|-
|yyVs7
|147/125
|168/125
|196/125
|1176/625
|~
|75/64
|75/56
|25/16
|15/8
|-
|yIIIh7
|686/625
|784/625
|196/125
|1176/625
|~
|35/32
|5/4
|25/16
|15/8
|-
|yIIIs7
|672/625
|784/625
|4704/3125
|1176/625
|~
|15/14
|5/4
|3/2
|15/8
|-
|Ih7
|3136/3125
|784/625
|4704/3125
|5488/3125
|~
|1/1
|5/4
|3/2
|7/4
|-
|Ih7
|1/1
|5/4
|3/2
|7/4
|
|
|
|
|
|-
|gVIh7
|1/1
|6/5
|7/5
|8/5
|
|
|
|
|
|-
|zggIIIh7
|28/25
|7/5
|42/25
|49/25
|
|
|
|
|
|-
|[zg<sup>3</sup>I=ryyVI]h7
|28/25
|168/125
|196/125
|224/125
|~
|125/112
|75/56
|25/16
|25/14
|-
|yIIIh7
|686/625
|784/625
|196/125
|1176/625
|~
|35/32
|5/4
|25/16
|15/8
|-
|Ih7
|3136/3125
|784/625
|4704/3125
|5488/3125
|~
|1/1
|5/4
|3/2
|7/4
|}


==4000/3969 (octagar)==
==4000/3969 (octagar or ruru triple-yo)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/4000.mp3 pump4000]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/4000.mp3 pump4000]''


Line 652: Line 959:
4000/3969-5000/3969-2000/1323-1000/567
4000/3969-5000/3969-2000/1323-1000/567


==4375/4374 (ragismic)==
==4375/4374 (ragismic or zo quadyo)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/4375.mp3 pump4375]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/4375.mp3 pump4375]''


Line 701: Line 1,008:
4375/4374-21875/17496-4375/2916-30625/17496 ~ 1-5/4-3/2-7/4
4375/4374-21875/17496-4375/2916-30625/17496 ~ 1-5/4-3/2-7/4


==5120/5103 (hemifamity)==
==5120/5103 (hemifamity or small ruyo)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/5120.mp3 pump5120]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/5120.mp3 pump5120]''


Line 752: Line 1,059:
5120/5103-6400/5103-2560/1701-1280/729
5120/5103-6400/5103-2560/1701-1280/729


==6144/6125 (porwell)==
==6144/6125 (porwell or small ruru triple-gu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/6144.mp3 pump6144]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/6144.mp3 pump6144]''


Line 795: Line 1,102:
6125/6144-30625/24576-6125/4096-42875/24576
6125/6144-30625/24576-6125/4096-42875/24576


==10976/10935 (hemimage)==
==10976/10935 (hemimage or small triple-zo gu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/10976.mp3 pump10976]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/10976.mp3 pump10976]''


==64827/64000 (squalentine)==
==64827/64000 (squalentine or large quadzo triple-gu)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/64827.mp3 pump64827]''
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/64827.mp3 pump64827]''


=13-limit examples=
=13-limit examples=


==676/675 (parizeksmic)==
==676/675 (parizeksmic or double thogu)==
''http://micro.soonlabel.com/petr_parizek/pp_pump_675.mp3''
''http://micro.soonlabel.com/petr_parizek/pp_pump_675.mp3''


Revision as of 00:43, 19 December 2018


Chord names are explained here: Color notation chord names

3-limit examples

256/243 (blackwood)

battaglia-blackwood [dead link]

5-limit examples

81/80 (meantone)

These are very familiar from classical and popular music. See Meantone comma pump examples.

128/125 (augmented or triple gu)

See 12edo comma pump examples.

250/243 (porcupine or triple yo)

parizek2

2048/2025 (diaschismic or small gugu)

parizek1

Also see 12edo comma pump examples.

3125/3072 (magic or large quintyo)

parizek4

15625/15552 (hanson or sixfold yo)

parizek6

battaglia-hanson [dead link]

16875/16384 (negri or large quadyo)

parizek3

20000/19683 (tetracot or small quadyo)

parizek7

78732/78125 (sensi or sevenfold gu)

parizek5

pump78732

1600000/1594323 (amity or small quintyo)

amity

tetradic pump [dead link]

2109375/2097152 (semicomma, 5-limit orwell or large sevenfold yo)

semicomma

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)

pump126 chords: Ch7 -- zBbs7 -- gEbh7 -- gEbs7 -- [ggGb=ryF#]h7 -- Ch7 -- gEbh7 -- [ggGg=ryF#]h7 -- Ch7

Ih7 -- zVIIs7 -- gIIIh7 -- gIIIs7 -- [ggV=ryIV]h7 -- Ih7 -- gIIIh7 -- [ggV=ryIV]h7 -- Ih7

Ih7 1/1 5/4 3/2 7/4 ~ 125/126 625/504 125/84 125/72
zVIIs7 21/20 21/16 3/2 7/4 ~ 25/24 125/96 125/84 125/72
gIIIh7 21/20 6/5 3/2 9/5 ~ 25/24 25/21 125/84 25/14
gIIIs7 36/35 6/5 36/25 9/5 ~ 50/49 25/21 10/7 25/14
[ggV=ryIV]h7 27/25 63/50 36/25 9/5 ~ 15/14 5/4 10/7 25/14
Ih7 126/125 63/50 189/125 441/250 ~ 1/1 5/4 3/2 7/4
Ih7 1/1 5/4 3/2 7/4 ~ 125/126 625/504 125/84 125/72
gIIIh7 21/20 6/5 3/2 9/5 ~ 25/24 25/21 125/84 25/14
[ggV=ryIV]h7 27/25 63/50 36/25 9/5 ~ 15/14 5/4 10/7 25/14
Ih7 126/125 63/50 189/125 441/250 ~ 1/1 5/4 3/2 7/4

225/224 (marvel or ruruyo)

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

Ih7 1/1 5/4 3/2 7/4 ~ 225/224 1125/896 675/448 225/128
zIIIs7 1/1 7/6 7/5 7/4 ~ 225/224 75/64 45/32 225/128
zgIh7 14/15 7/6 7/5 49/30 ~ 15/16 75/64 45/32 105/64
[zVI=yyV]s7 14/15 7/6 4/3 14/9 ~ 15/16 75/64 75/56 25/16
yIIIh7 14/15 49/45 56/45 14/9 ~ 15/16 35/32 5/4 25/16
yIIIs7 14/15 16/15 56/45 112/75 ~ 15/16 15/14 5/4 3/2
Ih7 224/225 56/45 112/75 392/225 ~ 1/1 5/4 3/2 7/4
Ih7 1/1 5/4 3/2 7/4 ~ 225/224 1125/896 675/448 225/128
zIIIs7 1/1 7/6 7/5 7/4 ~ 225/224 75/64 45/32 225/128
[zVI=yyV]s7 14/15 7/6 4/3 14/9 ~ 15/16 75/64 75/56 25/16
yIIIs7 14/15 16/15 56/45 112/75 ~ 15/16 15/14 5/4 3/2
Ih7 224/225 56/45 112/75 392/225 ~ 1/1 5/4 3/2 7/4

245/243 (sensamagic or zozoyo)

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

Ih7 1/1 5/4 3/2 7/4 ~ 245/243 1225/972 245/162 1715/972
rVIh7 15/14 9/7 3/2 12/7 ~ 175/162 35/27 245/162 140/81
[rIII=zyIV]h7 27/28 9/8 9/7 45/28 ~ 35/36 245/216 35/27 175/108
yIIh7 27/28 54/49 135/98 81/49 ~ 35/36 10/9 25/18 5/3
yVIh7 405/392 243/196 81/56 81/49 ~ 25/24 5/4 35/24 5/3
Ih7 243/245 243/196 729/490 243/140 ~ 1/1 5/4 3/2 7/4
Ih7 1/1 5/4 3/2 7/4 ~ 245/243 1225/972 245/162 1715/972
[rIII=zyIV]h7 27/28 9/8 9/7 45/28 ~ 35/36 245/216 35/27 175/108
yVIh7 405/392 243/196 81/56 81/49 ~ 25/24 5/4 35/24 5/3
Ih7 243/245 243/196 729/490 243/140 ~ 1/1 5/4 3/2 7/4

686/675 (sengic or triple-zo gugu)

pump686

875/864 (keemic or zo triple-yo)

pump875

1029/1024 (gamelismic or large triple zo)

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

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

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

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

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

zIVs7 = rrIIIs7 = rr7 - r31 - rr3 - rrg5 = 48/49-384/343-64/49-384/245

Vh7 = r3IVh7 = r31 - rr3 - r34 - r3y6 = 384/343-64/49-512/343-640/343

zVIIs7 = rrVIs7 = rrg1 - rr3 - r34 - rr6 = 256/245-64/49-512/343-256/147

Ih7 = sr3VIIh7 = sr37 - r3y2 - r34 - rr6 = 1024/1029-1280/1029-512/343-256/147

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

rIIh7 = 1/1-8/7-10/7-12/7

rIIIh7 = 48/49-8/7-64/49-80/49

Vh7 = r3IVh7 = 384/343-64/49-512/343-640/343

Ih7 = sr3VIIh7 = 1024/1029-1280/1029-512/343-256/147

1728/1715 (orwellismic or triple-ru gu)

pump1728 Ch7 -- zEbs7 -- zEbh7 -- [zzGb=rgF]s7 - rgFh7 -- gAbs7 -- gAbh7 -- Cs7 -- Ch7 -- zEbh7 -- [zzGb=rgF]h7 -- gAbh7 -- Ch7

Ih7 -- zIIIs7 -- zIIIh7 -- [zzV=rgIV]s7 -- rgIVh7 -- gVIs7 -- gVIh7 -- Is7 -- Ih7 -- zIIIh7 -- [zzV=rgIV]h7 -- gVIh7 -- Ih7

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

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

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

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

rgIVh7 = zzVh7 = zz2 - z34 - zz5 - zzy7 = 49/48-343/288-49/36-245/144

gVIs7 = z3VIIs7 = z34 - zz5 - z37 - z3g9 = 343/288-49/36-343/216-343/180

gVIh7 = z3VIIh7 = z3y2 - z34 - z46 - zzz7 = 1715/1728-343/288-2401/1728-343/216

Is7 = z3yIIs7 = z3y2 - z34 - z3y6 - zzy7 = 1715/1728-343/288-1715/1152-245/144

Ih7 = z3yIIh7 = z3y2 - z3yy4 - z3y6 - z4y8 = 1715/1728-8575/6912-1715/1152-12005/6912

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

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

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

gVIh7 = z3VIIh7 = 1715/1728-343/288-2401/1728-343/216

Ih7 = z3yIIh7 = 1715/1728-8575/6912-1715/1152-12005/6912

2401/2400 (breed or quadzo gugu)

pump2401 chords: Ch7 -- zBbs7 -- zgGbh7 -- zzDbs7 -- [zzgFb=rryD#]h7 -- ryC#s7 -- rAh7 -- yEs7 -- Gh7 -- zBbs7 -- Ch7 -- zgGbh7 -- [zzgFb=rryD#]h7 -- rAh7 -- Gh7 -- Ch7

Ih7 -- zVIIs7 -- zgVh7 -- zzIIs7 -- [zzgIV=rryII]h7 -- ryIs7 -- rVIh7 -- yIIIs7 -- Vh7 -- zVIIs7 -- Ih7 -- zgVh7 -- [zzgIV=rryII]h7 -- rVIh7 -- Vh7 -- Ih7

Ih7 1/1 5/4 3/2 7/4
zVIIs7 21/20 21/16 3/2 7/4
zgVh7 21/20 49/40 7/5 7/4
zzIIs7 49/48 49/40 49/32 7/4
[zzgIV=rryII]h7 343/320 49/40 49/32 147/80 ~ 15/14 60/49 75/49 90/49
ryIs7 343/320 1029/800 1029/640 147/80 ~ 15/14 9/7 45/28 90/49
rVIh7 343/320 1029/800 2401/1600 343/200 ~ 15/14 9/7 3/2 12/7
yIIIs7 343/320 2401/1920 2401/1600 2401/1280 ~ 15/14 5/4 3/2 15/8
Vh7 7203/6400 16807/12800 2401/1600 2401/1280 ~ 9/8 21/16 3/2 15/8
zVIIs7 16807/16000 16807/12800 2401/1600 16807/9600 ~ 21/20 21/16 3/2 7/4
Ih7 2401/2400 2401/1920 2401/1600 16807/9600 ~ 1/1 5/4 3/2 7/4

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

zVIIs7 = zg2 - z4 - w5 - z7 = 21/20-21/16-3/2-7/4

zgVh7 = zg2 - zzg4 - zg5 - z7 = 21/20-49/40-7/5-7/4

zzIIs7 = zz2 - zzg4 - zz6 - z7 = 49/48-49/40-49/32-7/4

rryII = zzgIVh7 = z3g3 - zzg4 - zz6 - zzg8 = 343/320-49/40-49/32-147/80

ryIs7 = z3gIIIs7 = z3g3 - z3gg5 - z3g7 - zzg8 = 343/320-1029/800-1029/640-147/80

rVIh7 = z3ggIh7 = z3g3 - z3gg5 - z4gg7 - z3gg8 = 343/320-1029/800-2401/1600-343/200

yIIIs7 = z4gVs7 = z3g3 - z4g5 - z4gg7 - z4g9 = 343/320-2401/1920-2401/1600-2401/1280

Vh7 = z4ggVIIh7 = z4gg4 - z5gg6 - z4gg7 - z4g9 = 7203/6400-16807/12800-2401/1600-2401/1280

zVIIs7 = z5ggIIs7 = z5g34 - z5gg6 - z4gg7 - z5gg9 = 16807/16000-16807/12800-2401/1600-16807/9600

Ih7 = z4ggIIIh7 = 2401/2400-2401/1920-2401/1600-16807/9600

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

zgVh7 = 21/20-49/40-7/5-7/4

rryII = zzgIVh7 = 343/320-49/40-49/32-147/80

rVIh7 = 2401/1600-343/200-343/160-1029/400

Vh7 = z4ggVIIh7 = 7203/6400-16807/12800-2401/1600-2401/1280

Ih7 = z4ggIIIh7 = 2401/2400-2401/1920-2401/1600-16807/9600

3125/3087 (gariboh or triple-ru quintyo)

pump3125

3136/3125 (hemimean or zozo quintgu)

pump3136 chords: Ch7 -- zEbs7 -- gAbh7 -- zgCbs7 -- zggEbbh7 -- zggEbbs7 -- [zg3Cbb=ryyA#]h7 -- yyG#s7 -- yEh7 -- yEs7 -- Ch7 -- -- Ch7 -- gAbh7 -- zggEbbh7 -- [zg3Cbb=ryyA#]h7 -- yEh7 -- Ch7

Ih7 -- zIIIs7 -- gVIh7 -- zgIs7 -- zggIIIh7 -- zggIIIs7 -- [zg3I=ryyVI]h7 -- yyVs7 -- yIIIh7 -- yIIIs7 -- Ih7 -- gVIh7 -- zggIIIh7 -- [zg3I=ryyVI]h7 -- -- yIIIh7 -- Ih7

Ih7 1/1 5/4 3/2 7/4
zIIIs7 1/1 7/6 7/5 7/4
gVIh7 1/1 6/5 7/5 8/5
zgIs7 14/15 28/25 7/5 8/5
zggIIIh7 49/50 28/25 7/5 42/25
zggIIIs7 24/25 28/25 168/125 42/25
[zg3I=ryyVI]h7 28/25 168/125 196/125 224/125 ~ 125/112 75/56 25/16 25/14
yyVs7 147/125 168/125 196/125 1176/625 ~ 75/64 75/56 25/16 15/8
yIIIh7 686/625 784/625 196/125 1176/625 ~ 35/32 5/4 25/16 15/8
yIIIs7 672/625 784/625 4704/3125 1176/625 ~ 15/14 5/4 3/2 15/8
Ih7 3136/3125 784/625 4704/3125 5488/3125 ~ 1/1 5/4 3/2 7/4
Ih7 1/1 5/4 3/2 7/4
gVIh7 1/1 6/5 7/5 8/5
zggIIIh7 28/25 7/5 42/25 49/25
[zg3I=ryyVI]h7 28/25 168/125 196/125 224/125 ~ 125/112 75/56 25/16 25/14
yIIIh7 686/625 784/625 196/125 1176/625 ~ 35/32 5/4 25/16 15/8
Ih7 3136/3125 784/625 4704/3125 5488/3125 ~ 1/1 5/4 3/2 7/4

4000/3969 (octagar or ruru triple-yo)

pump4000

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

1-5/4-10/7-5/3

15/14-5/4-10/7-25/14

1-5/4-10/7-5/3

20/21-25/21-10/7-5/3

50/49-25/21-10/7-25/14

50/49-25/21-200/147-250/147

1000/1029-500/441-200/147-250/147

500/441-200/147-100/63-800/441

125/126-500/441-250/189-100/63

500/441-250/189-2000/1323-2500/1323

200/189-250/189-2000/1323-1000/567

4000/3969-5000/3969-2000/1323-1000/567

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

15/14-5/4-10/7-25/14

20/21-25/21-10/7-5/3

50/49-25/21-200/147-250/147

500/441-200/147-100/63-800/441

500/441-250/189-2000/1323-2500/1323

4000/3969-5000/3969-2000/1323-1000/567

4375/4374 (ragismic or zo quadyo)

pump4375

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

1-5/4-10/7-5/3

25/24-5/4-35/24-5/3

35/36-7/6-35/24-5/3

35/36-10/9-25/18-5/3

35/36-175/144-25/18-175/108

25/27-125/108-25/18-175/108

25/27-175/162-35/27-175/108

175/162-875/648-175/108-1225/648 ~ 27/25-27/20-81/50-189/100

175/162-875/648-125/81-875/486 ~ 27/25-27/20-54/35-9/5

4375/3888-875/648-6125/3888-875/486 ~ 9/8-27/20-63/40-9/5

4375/3888-625/486-4375/2916-875/486 ~ 9/8-9/7-3/2-9/5

6125/5832-875/729-4375/2916-875/486 ~ 21/20-6/5-3/2-9/5

4375/4374-875/729-4375/2916-1250/729 ~ 1-6/5-3/2-12/7

4375/4374-21875/17496-4375/2916-30625/17496 ~ 1-5/4-3/2-7/4

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

25/24-5/4-35/24-5/3

35/36-10/9-25/18-5/3

25/27-125/108-25/18-175/108

175/162-875/648-175/108-1225/648 ~ 27/25-27/20-81/50-189/100

4375/3888-875/648-6125/3888-875/486 ~ 9/8-27/20-63/40-9/5

6125/5832-875/729-4375/2916-875/486 ~ 21/20-6/5-3/2-9/5

4375/4374-21875/17496-4375/2916-30625/17496 ~ 1-5/4-3/2-7/4

5120/5103 (hemifamity or small ruyo)

pump5120

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

35/32-5/4-35/24-7/4

25/24-5/4-35/24-5/3

25/24-25/21-25/18-5/3

35/36-10/9-25/18-5/3

20/21-10/9-4/3-5/3

20/21-10/9-80/63-100/63

400/441-200/189-80/63-100/63

200/189-80/63-40/27-320/189

80/81-32/27-40/27-320/189

80/81-640/567-800/567-320/189

80/81-640/567-320/243-128/81

1600/1701-640/567-320/243-2560/1701

256/243-320/243-2560/1701-1280/729

5120/5103-6400/5103-2560/1701-1280/729

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

25/24-5/4-35/24-5/3

35/36-10/9-25/18-5/3

20/21-10/9-80/63-100/63

200/189-80/63-40/27-320/189

80/81-640/567-800/567-320/189

1600/1701-640/567-320/243-2560/1701

256/243-320/243-2560/1701-1280/729

5120/5103-6400/5103-2560/1701-1280/729

6144/6125 (porwell or small ruru triple-gu)

pump6144

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

35/32-5/4-35/24-7/4

35/32-5/4-25/16-15/8

35/32-21/16-105/64-15/8

35/32-175/128-105/64-245/128

525/512-175/128-75/64-105/64

525/512-1225/1024-175/128-875/512

6125/6144-1225/1024-6125/4096-875/512

8575/8192-1225/1024-6125/4096-3675/2048

18375/16384-2625/2048-6125/4096-3675/2048

18375/16384-42875/32768-6125/4096-30625/16384

4375/4096-30625/24576-6125/4096-30625/16384

6125/6144-30625/24576-6125/4096-42875/24576

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

35/32-5/4-25/16-15/8

35/32-175/128-105/64-245/128

525/512-1225/1024-175/128-875/512

8575/8192-1225/1024-6125/4096-3675/2048

18375/16384-42875/32768-6125/4096-30625/16384

6125/6144-30625/24576-6125/4096-42875/24576

10976/10935 (hemimage or small triple-zo gu)

pump10976

64827/64000 (squalentine or large quadzo triple-gu)

pump64827

13-limit examples

676/675 (parizeksmic or double thogu)

http://micro.soonlabel.com/petr_parizek/pp_pump_675.mp3

Retrieved from "https://en.xen.wiki/index.php?title=Comma_pump_examples&oldid=39072"