Comma pump examples: Difference between revisions

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Chord names are explained here: [[Color notation#Chord names|Color notation chord names]]
Chord names are explained here: [[Color notation#Chord names|Color notation chord names]]


=3-limit examples=
== 3-limit examples==  


==256/243 (blackwood)==
=== 256/243 (blackwood) ===  


[http://snd.sc/iZLLpY battaglia-blackwood] {{dead link}}
[http://snd.sc/iZLLpY battaglia-blackwood] {{dead link}}


=5-limit examples=
== 5-limit examples==  


==81/80 (meantone)==
=== 81/80 (meantone) ===  


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 or trigu)==
=== 128/125 (augmented or trigu) ===  


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


==250/243 (porcupine or triyo)==
=== 250/243 (porcupine or triyo) ===  


[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]
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From „Mizarian Ouverture“ by Herman Miller
From „Mizarian Ouverture“ by Herman Miller


==2048/2025 (diaschismic or sagugu)==
=== 2048/2025 (diaschismic or sagugu) ===  


[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]
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Also see [[12edo comma pump examples]].
Also see [[12edo comma pump examples]].


==3125/3072 (magic or laquinyo)==
=== 3125/3072 (magic or laquinyo) ===  


[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 or tribiyo)==
=== 15625/15552 (hanson or tribiyo) ===  


[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]
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[http://snd.sc/maFX0r battaglia-hanson] {{dead link}}
[http://snd.sc/maFX0r battaglia-hanson] {{dead link}}


==16875/16384 (negri or laquadyo)==
=== 16875/16384 (negri or laquadyo) ===  


[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 or saquadyo)==
=== 20000/19683 (tetracot or saquadyo) ===  


[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 or sepgu)==
=== 78732/78125 (sensi or sepgu) ===  


[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]
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''[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 or saquinyo)==
=== 1600000/1594323 (amity or saquinyo) ===  


[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]
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[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 or lasepyo)==
=== 2109375/2097152 (semicomma, 5-limit orwell or lasepyo) ===  


[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]


=7-limit examples=
== 7-limit examples==  
Every s6 chord can also be thought of as a s7 chord, e.g. zBbs6 could be Gs7.
Every s6 chord can also be thought of as a s7 chord, e.g. zBbs6 could be Gs7.


==126/125  (starling or zotrigu)==
=== 126/125  (starling or zotrigu) ===  
Monzo: | 1 2 -3 1 >
Monzo : {{monzo| 1 2 -3 1 }}


''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/126.mp3 pump126]''  chords: Ch7 -- zBbs6 -- gEbh7 -- gEbs6 -- [ggGb=ryF#]h7 -- Ch7 -- gEbh7 -- [ggGg=ryF#]h7 -- Ch7
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/126.mp3 pump126]''  chords: Ch7 -- zBbs6 -- gEbh7 -- gEbs6 -- [ggGb=ryF#]h7 -- Ch7 -- gEbh7 -- [ggGg=ryF#]h7 -- Ch7
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|}
|}


==225/224 (marvel or ruyoyo)==
=== 225/224 (marvel or ruyoyo) ===  
Monzo: | 5 2 2 -1 >
Monzo: {{monzo| 5 2 2 -1 }}


''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/225.mp3 pump225]''  chords: Ch7 -- zEbs6 -- zgCbh7 -- [zAb=yyG#]s6 -- yEh7 -- yEs6 -- Ch7 -- zEbs6 -- [zAb=yyG#]s6 -- yEs6 -- Ch7
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/225.mp3 pump225]''  chords: Ch7 -- zEbs6 -- zgCbh7 -- [zAb=yyG#]s6 -- yEh7 -- yEs6 -- Ch7 -- zEbs6 -- [zAb=yyG#]s6 -- yEs6 -- Ch7
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|}
|}


==245/243 (sensamagic or zozoyo)==
=== 245/243 (sensamagic or zozoyo) ===  
Monzo: | 0 -5 1 2 >
Monzo: {{monzo| 0 -5 1 2 }}


''[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
''[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
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|}
|}


==686/675 (sengic or trizo-agugu)==
=== 686/675 (sengic or trizo-agugu) ===  
Monzo: | 1 -3 -2 3 >
Monzo: {{monzo| 1 -3 -2 3 }}


''[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 or zotriyo)==
=== 875/864 (keemic or zotriyo) ===  
Monzo: | -5 -3 3 1 >
Monzo: {{monzo| -5 -3 3 1 }}


''[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 or latrizo)==
=== 1029/1024 (gamelismic or latrizo) ===  
Monzo: | -10 1 0 3 >
Monzo: {{monzo| -10 1 0 3 }}


''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1029.mp3 pump1029]''  chords: Ch7 -- yAs6 -- rDh7 -- ryBs6 -- [rrE=zF]h7 -- zFs6 -- Gh7 -- zBbs6 -- Ch7 -- rDh7 -- [rrE=zF]h7 -- Gh7 -- Ch7
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1029.mp3 pump1029]''  chords: Ch7 -- yAs6 -- rDh7 -- ryBs6 -- [rrE=zF]h7 -- zFs6 -- Gh7 -- zBbs6 -- Ch7 -- rDh7 -- [rrE=zF]h7 -- Gh7 -- Ch7
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|7/4
|7/4
|}
|}
==1728/1715 (orwellismic or triru-agu)==
=== 1728/1715 (orwellismic or triru-agu) ===  
Monzo: | 6 3 -1 -3 >
Monzo: {{monzo| 6 3 -1 -3 }}


''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1728.mp3 pump1728]''  Ch7 -- zEbs6 -- zEbh7 -- [zzGb=rgF]s6 - rgFh7 -- gAbs6 -- gAbh7 -- Cs6 -- Ch7 -- zEbh7 -- [zzGb=rgF]h7 -- gAbh7 -- Ch7
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1728.mp3 pump1728]''  Ch7 -- zEbs6 -- zEbh7 -- [zzGb=rgF]s6 - rgFh7 -- gAbs6 -- gAbh7 -- Cs6 -- Ch7 -- zEbh7 -- [zzGb=rgF]h7 -- gAbh7 -- Ch7
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|}
|}


==2401/2400 (breed or bizozogu)==
=== 2401/2400 (breed or bizozogu) ===  
Monzo: | -5 -1 -2 4 >
Monzo: {{monzo| -5 -1 -2 4 }}


''[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]''
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|7/4
|7/4
|}
|}
==3125/3087 (gariboh or triru-aquinyo)==
=== 3125/3087 (gariboh or triru-aquinyo) ===  
Monzo: | 0 2 5 -3 >
Monzo: {{monzo| 0 2 5 -3 }}


''[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 or zozoquingu)==
=== 3136/3125 (hemimean or zozoquingu) ===  
Monzo: | 6 0 -5 2 >
Monzo: {{monzo| 6 0 -5 2 }}


''[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]''
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|}
|}


==4000/3969 (octagar or rurutriyo)==
=== 4000/3969 (octagar or rurutriyo) ===  
Monzo: | 5 6 3 -2 >
Monzo: {{monzo| 5 6 3 -2 }}


''[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]''
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|}
|}


==4375/4374 (ragismic or zoquadyo)==
=== 4375/4374 (ragismic or zoquadyo) ===  
Monzo: | -1 -7 4 1 >
Monzo : {{monzo| -1 -7 4 1 }}


''[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]''
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|7/4
|7/4
|}
|}
==5120/5103 (hemifamity or saruyo)==
=== 5120/5103 (hemifamity or saruyo) ===  
Monzo: | 9 -6 1 -1 >
Monzo : {{monzo| 9 -6 1 -1 }}


''[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]''
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|}
|}


==6144/6125 (porwell or saruru-trigu)==
=== 6144/6125 (porwell or saruru-trigu) ===  
Monzo: | 11 1 -3 -2 >
Monzo : {{monzo| 11 1 -3 -2 }}


''[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]''
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|}
|}


==10976/10935 (hemimage or satrizo-agu)==
=== 10976/10935 (hemimage or satrizo-agu) ===  
Monzo: | 5 -7 -1 3 >
Monzo : {{monzo| 5 -7 -1 3 }}


''[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 or laquadzo-atrigu)==
=== 64827/64000 (squalentine or laquadzo-atrigu) ===  
Monzo: | -9 3 -3 4 >
Monzo : {{monzo| -9 3 -3 4 }}


''[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 or bithogu)==
=== 676/675 (parizeksmic or bithogu) ===  
Monzo: | 2 -3 -2 0 0 2 >
Monzo : {{monzo| 2 -3 -2 0 0 2 }}


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


[[Category:comma]]
[[Category:Comma]]
[[Category:comma_pump]]
[[Category:Comma pump]]
[[Category:listen]]
[[Category:Listen]]
[[Category:temperament]]
[[Category:Temperament]]
[[Category:tuning]]
[[Category:Tuning]]

Revision as of 17:34, 15 August 2021


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 trigu)

See 12edo comma pump examples.

250/243 (porcupine or triyo)

parizek2

From „Mizarian Ouverture“ by Herman Miller

2048/2025 (diaschismic or sagugu)

parizek1

Also see 12edo comma pump examples.

3125/3072 (magic or laquinyo)

parizek4

15625/15552 (hanson or tribiyo)

parizek6

battaglia-hanson [dead link]

16875/16384 (negri or laquadyo)

parizek3

20000/19683 (tetracot or saquadyo)

parizek7

78732/78125 (sensi or sepgu)

parizek5

pump78732

1600000/1594323 (amity or saquinyo)

amity

tetradic pump [dead link]

2109375/2097152 (semicomma, 5-limit orwell or lasepyo)

semicomma

7-limit examples

Every s6 chord can also be thought of as a s7 chord, e.g. zBbs6 could be Gs7.

126/125 (starling or zotrigu)

Monzo : [1 2 -3 1⟩

pump126 chords: Ch7 -- zBbs6 -- gEbh7 -- gEbs6 -- [ggGb=ryF#]h7 -- Ch7 -- gEbh7 -- [ggGg=ryF#]h7 -- Ch7

Ih7 -- zVIIs6 -- gIIIh7 -- gIIIs6 -- [ggV=ryIV]h7 -- Ih7 -- gIIIh7 -- [ggV=ryIV]h7 -- Ih7

Ch7 Ih7 1/1 5/4 3/2 7/4 ~ 125/126 625/504 125/84 125/72
zBbs6 zVIIs6 21/20 21/16 3/2 7/4 ~ 25/24 125/96 125/84 125/72
gEbh7 gIIIh7 21/20 6/5 3/2 9/5 ~ 25/24 25/21 125/84 25/14
gEbs6 gIIIs6 36/35 6/5 36/25 9/5 ~ 50/49 25/21 10/7 25/14
[ggGb=ryF#]h7 [ggV=ryIV]h7 27/25 63/50 36/25 9/5 ~ 15/14 5/4 10/7 25/14
Ch7 Ih7 126/125 63/50 189/125 441/250 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4 ~ 125/126 625/504 125/84 125/72
gEbs6 gIIIh7 21/20 6/5 3/2 9/5 ~ 25/24 25/21 125/84 25/14
[ggGb=ryF#]h7 [ggV=ryIV]h7 27/25 63/50 36/25 9/5 ~ 15/14 5/4 10/7 25/14
Ch7 Ih7 126/125 63/50 189/125 441/250 ~ 1/1 5/4 3/2 7/4

225/224 (marvel or ruyoyo)

Monzo: [5 2 2 -1⟩

pump225 chords: Ch7 -- zEbs6 -- zgCbh7 -- [zAb=yyG#]s6 -- yEh7 -- yEs6 -- Ch7 -- zEbs6 -- [zAb=yyG#]s6 -- yEs6 -- Ch7

Ih7 -- zIIIs6 -- zgIh7 -- [zVI=yyV]s6 -- yIIIh7 -- yIIIs6 -- Ih7 -- zIIIs6 -- [zVI=yyV]s6 -- yIIIs6 -- Ih7

Ch7 Ih7 1/1 5/4 3/2 7/4 ~ 225/224 1125/896 675/448 225/128
zEbs6 zIIIs6 1/1 7/6 7/5 7/4 ~ 225/224 75/64 45/32 225/128
zgCbh7 zgIh7 14/15 7/6 7/5 49/30 ~ 15/16 75/64 45/32 105/64
[zAb=yyG#]s6 [zVI=yyV]s6 14/15 7/6 4/3 14/9 ~ 15/16 75/64 75/56 25/16
yEh7 yIIIh7 14/15 49/45 56/45 14/9 ~ 15/16 35/32 5/4 25/16
yEs6 yIIIs6 14/15 16/15 56/45 112/75 ~ 15/16 15/14 5/4 3/2
Ch7 Ih7 224/225 56/45 112/75 392/225 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4 ~ 225/224 1125/896 675/448 225/128
zEbs6 zIIIs6 1/1 7/6 7/5 7/4 ~ 225/224 75/64 45/32 225/128
[zAb=yyG#]s6 [zVI=yyV]s6 14/15 7/6 4/3 14/9 ~ 15/16 75/64 75/56 25/16
yEs6 yIIIs6 14/15 16/15 56/45 112/75 ~ 15/16 15/14 5/4 3/2
Ch7 Ih7 224/225 56/45 112/75 392/225 ~ 1/1 5/4 3/2 7/4

245/243 (sensamagic or zozoyo)

Monzo: [0 -5 1 2⟩

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

Ch7 Ih7 1/1 5/4 3/2 7/4 ~ 245/243 1225/972 245/162 1715/972
rAh7 rVIh7 15/14 9/7 3/2 12/7 ~ 175/162 35/27 245/162 140/81
[rE=zyF]h7 [rIII=zyIV]h7 27/28 9/8 9/7 45/28 ~ 35/36 245/216 35/27 175/108
yDh7 yIIh7 27/28 54/49 135/98 81/49 ~ 35/36 10/9 25/18 5/3
yAh7 yVIh7 405/392 243/196 81/56 81/49 ~ 25/24 5/4 35/24 5/3
Ch7 Ih7 243/245 243/196 729/490 243/140 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4 ~ 245/243 1225/972 245/162 1715/972
[rE=zyF]h7 [rIII=zyIV]h7 27/28 9/8 9/7 45/28 ~ 35/36 245/216 35/27 175/108
yAh7 yVIh7 405/392 243/196 81/56 81/49 ~ 25/24 5/4 35/24 5/3
Ch7 Ih7 243/245 243/196 729/490 243/140 ~ 1/1 5/4 3/2 7/4

686/675 (sengic or trizo-agugu)

Monzo: [1 -3 -2 3⟩

pump686

875/864 (keemic or zotriyo)

Monzo: [-5 -3 3 1⟩

pump875

1029/1024 (gamelismic or latrizo)

Monzo: [-10 1 0 3⟩

pump1029 chords: Ch7 -- yAs6 -- rDh7 -- ryBs6 -- [rrE=zF]h7 -- zFs6 -- Gh7 -- zBbs6 -- Ch7 -- rDh7 -- [rrE=zF]h7 -- Gh7 -- Ch7

Ih7 -- yVIs6 -- rIIh7 -- ryVIIs6 -- [rrIII=zIV]h7 -- zIVs6 -- Vh7 -- zVIIs6 -- Ih7 -- rIIh7 -- [rIII=zIV]h7 -- Vh7 -- Ih7

Ch7 Ih7 1/1 5/4 3/2 7/4
yAs6 yVIs6 1/1 5/4 10/7 5/3
rDh7 rIIh7 1/1 8/7 10/7 12/7
ryBs6 ryVIIs6 20/21 8/7 10/7 80/49
[rrE=zF]h7 [rrIII=zIV]h7 48/49 8/7 64/49 80/49 ~ 63/64 147/128 21/16 105/64
zFs6 zIVs6 48/49 384/343 64/49 384/245 ~ 63/64 9/8 21/16 63/40
Gh7 Vh7 384/343 64/49 512/343 640/343 ~ 9/8 21/16 3/2 15/8
zBbs6 zVIIs6 256/245 64/49 512/343 256/147 ~ 21/20 21/16 3/2 7/4
Ch7 Ih7 1024/1029 1280/1029 512/343 256/147 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4
rDh7 rIIh7 1/1 8/7 10/7 12/7
[rrE=zF]h7 [rrIII=zIV]h7 48/49 8/7 64/49 80/49 ~ 63/64 147/128 21/16 105/64
Gh7 Vh7 384/343 64/49 512/343 640/343 ~ 9/8 21/16 3/2 15/8
Ch7 Ih7 1024/1029 1280/1029 512/343 256/147 ~ 1/1 5/4 3/2 7/4

1728/1715 (orwellismic or triru-agu)

Monzo: [6 3 -1 -3⟩

pump1728 Ch7 -- zEbs6 -- zEbh7 -- [zzGb=rgF]s6 - rgFh7 -- gAbs6 -- gAbh7 -- Cs6 -- Ch7 -- zEbh7 -- [zzGb=rgF]h7 -- gAbh7 -- Ch7

Ih7 -- zIIIs6 -- zIIIh7 -- [zzV=rgIV]s6 -- rgIVh7 -- gVIs6 -- gVIh7 -- Is6 -- Ih7 -- zIIIh7 -- [zzV=rgIV]h7 -- gVIh7 -- Ih7

Ch7 Ih7 1/1 5/4 3/2 7/4
zEbs6 zIIIs6 1/1 7/6 7/5 7/4
zEbh7 zIIIh7 49/48 7/6 35/24 7/4
[zzGb=rgF]s6 [zzV=rgIV]s6 49/48 7/6 49/36 49/30 ~ 36/35 288/245 48/35 288/175
rgFh7 rgIVh7 49/48 343/288 49/36 245/144 ~ 36/35 6/5 48/35 12/7
gAbs6 gVIs6 343/288 49/36 343/216 343/180 ~ 6/5 48/35 8/5 48/25
gAbh7 gVIh7 1715/1728 343/288 2401/1728 343/216 ~ 1/1 6/5 7/5 8/5
Cs6 Is6 1715/1728 343/288 1715/1152 245/144 ~ 1/1 6/5 3/2 12/7
Ch7 Ih7 1715/1728 8575/6912 1715/1152 12005/6912 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4
zEbh7 zIIIh7 49/48 7/6 35/24 7/4
[zzGb=rgF]h7 [zzV=rgIV]h7 49/48 343/288 49/36 245/144 ~ 36/35 6/5 48/35 12/7
gAbh7 gVIh7 1715/1728 343/288 2401/1728 343/216 ~ 1/1 6/5 7/5 8/5
Ch7 Ih7 1715/1728 8575/6912 1715/1152 12005/6912 ~ 1/1 5/4 3/2 7/4

2401/2400 (breed or bizozogu)

Monzo: [-5 -1 -2 4⟩

pump2401

Ch7 Ih7 1/1 5/4 3/2 7/4
zBbs6 zVIIs6 21/20 21/16 3/2 7/4
zgGgh7 zgVh7 21/20 49/40 7/5 7/4
zzDbs6 zzIIs6 49/48 49/40 49/32 7/4
[zzgFb=rryD#]h7 [zzgIV=rryII]h7 343/320 49/40 49/32 147/80 ~ 15/14 60/49 75/49 90/49
ryC#s6 ryIs6 343/320 1029/800 1029/640 147/80 ~ 15/14 9/7 45/28 90/49
rAh7 rVIh7 343/320 1029/800 2401/1600 343/200 ~ 15/14 9/7 3/2 12/7
yEs6 yIIIs6 343/320 2401/1920 2401/1600 2401/1280 ~ 15/14 5/4 3/2 15/8
Gh7 Vh7 7203/6400 16807/12800 2401/1600 2401/1280 ~ 9/8 21/16 3/2 15/8
zBbs6 zVIIs6 16807/16000 16807/12800 2401/1600 16807/9600 ~ 21/20 21/16 3/2 7/4
Ch7 Ih7 2401/2400 2401/1920 2401/1600 16807/9600 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4
zgGbh7 zgVh7 21/20 49/40 7/5 7/4
[zzgFb=rryD#]h7 [zzgIV=rryII]h7 343/320 49/40 49/32 147/80 ~ 15/14 60/49 75/49 90/49
rAh7 rVIh7 343/160 1029/400 2401/1600 343/200 ~ 15/7 18/7 3/2 12/7
Gh7 Vh7 7203/6400 16807/12800 2401/1600 2401/1280 ~ 9/8 21/16 3/2 15/8
Ch7 Ih7 2401/2400 2401/1920 2401/1600 16807/9600 ~ 1/1 5/4 3/2 7/4

3125/3087 (gariboh or triru-aquinyo)

Monzo: [0 2 5 -3⟩

pump3125

3136/3125 (hemimean or zozoquingu)

Monzo: [6 0 -5 2⟩

pump3136

Ch7 Ih7 1/1 5/4 3/2 7/4
zEbs6 zIIIs6 1/1 7/6 7/5 7/4
gAbh7 gVIh7 1/1 6/5 7/5 8/5
zgCbs6 zgIs6 14/15 28/25 7/5 8/5
zggEbbh7 zggIIIh7 49/50 28/25 7/5 42/25
zggEbbs6 zggIIIs6 24/25 28/25 168/125 42/25
[zg3Cbb=ryyA#]h7 [zg3I=ryyVI]h7 28/25 168/125 196/125 224/125 ~ 125/112 75/56 25/16 25/14
yyG#s6 yyVs6 147/125 168/125 196/125 1176/625 ~ 75/64 75/56 25/16 15/8
yEh7 yIIIh7 686/625 784/625 196/125 1176/625 ~ 35/32 5/4 25/16 15/8
yEs6 yIIIs6 672/625 784/625 4704/3125 1176/625 ~ 15/14 5/4 3/2 15/8
Ch7 Ih7 3136/3125 784/625 4704/3125 5488/3125 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4
gAbh7 gVIh7 1/1 6/5 7/5 8/5
zggEbbh7 zggIIIh7 28/25 7/5 42/25 49/25
[zg3Cbb=ryyA#]h7 [zg3I=ryyVI]h7 28/25 168/125 196/125 224/125 ~ 125/112 75/56 25/16 25/14
yEh7 yIIIh7 686/625 784/625 196/125 1176/625 ~ 35/32 5/4 25/16 15/8
Ch7 Ih7 3136/3125 784/625 4704/3125 5488/3125 ~ 1/1 5/4 3/2 7/4

4000/3969 (octagar or rurutriyo)

Monzo: [5 6 3 -2⟩

pump4000

Ch7 Ih7 1/1 5/4 3/2 7/4
yEs6 yIIIs6 1/1 5/4 10/7 5/3
ryF#h7 ryIVh7 15/14 5/4 10/7 25/14
yEs6 yIIIs6 1/1 5/4 10/7 5/3
ryBh7 ryVIIh7 20/21 25/21 10/7 5/3
[ryyD#=zgEb]s6 [ryyII=zgIII]s6 50/49 25/21 10/7 25/14 ~ 81/80 189/160 567/400 567/320
gFh7 gIVh7 50/49 25/21 200/147 250/147 ~ 81/80 189/160 27/20 27/16
wDs6 wIIs6 1000/1029 500/441 200/147 250/147 ~ 27/14 9/8 27/20 27/16
gBbh7 gVIIh7 500/441 200/147 100/63 800/441 ~ 9/8 27/20 63/40 9/5
zFs6 zIVs6 125/126 500/441 250/189 100/63 ~ 63/64 9/8 21/16 63/40
Gh7 Vh7 500/441 250/189 2000/1323 2500/1323 ~ 9/8 21/16 3/2 15/8
zBbs6 zVIIs6 200/189 250/189 2000/1323 1000/567 ~ 21/20 21/16 3/2 7/4
Ch7 Ih7 4000/3969 5000/3969 2000/1323 1000/567 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4
ryF#h7 ryIVh7 15/14 5/4 10/7 25/14
ryBh7 ryVIIh7 20/21 25/21 10/7 5/3
[rryyE#=gF]h7 [rryyIII=gIV]h7 50/49 25/21 200/147 250/147 ~ 81/80 189/160 27/20 27/16
gBbh7 gVIIh7 500/441 200/147 100/63 800/441 ~ 9/8 27/20 63/40 9/5
Gh7 Vh7 500/441 250/189 2000/1323 2500/1323 ~ 9/8 21/16 3/2 15/8
Ch7 Ih7 4000/3969 5000/3969 2000/1323 1000/567 ~ 1/1 5/4 3/2 7/4

4375/4374 (ragismic or zoquadyo)

Monzo : [-1 -7 4 1⟩

pump4375

Ch7 Ih7 1/1 5/4 3/2 7/4
yAs6 yVIs6 1/1 5/4 10/7 5/3
yAh7 yVIh7 25/24 5/4 35/24 5/3
zyCs6 zyIs6 35/36 7/6 35/24 5/3
yDh7 yIIh7 35/36 10/9 25/18 5/3
zyyAs6 zyyVIs6 35/36 175/144 25/18 175/108
yyBh7 yyVIIh7 25/27 125/108 25/18 175/108
[zyyD=ggDb]s6 [zyyII=ggII]s6 25/27 175/162 35/27 175/108 ~ 324/350 27/25 162/125 81/50
ggDbh7 ggIIh7 175/162 875/648 175/108 1225/648 ~ 27/25 27/20 81/50 189/100
gBbs6 gVIIs6 175/162 875/648 125/81 875/486 ~ 27/25 27/20 54/35 9/5
gBbh7 gVIIh7 4375/3888 875/648 6125/3888 875/486 ~ 9/8 27/20 63/40 9/5
Gs6 Vs6 4375/3888 625/486 4375/2916 875/486 ~ 9/8 9/7 3/2 9/5
gEbh7 gIIIh7 6125/5832 875/729 4375/2916 875/486 ~ 21/20 6/5 3/2 9/5
Cs6 Is6 4375/4374 875/729 4375/2916 1250/729 ~ 1/1 6/5 3/2 12/7
Ch7 Ih7 4375/4374 21875/17496 4375/2916 30625/17496 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4
yAh7 yVIh7 25/24 5/4 35/24 5/3
yDh7 yIIh7 35/36 10/9 25/18 5/3
yyBh7 yyVIIh7 25/27 125/108 25/18 175/108
[zyyD=ggDb]h7 [zyyII=ggII]h7 175/162 875/648 175/108 1225/648 ~ 27/25 27/20 81/50 189/100
gBbh7 gVIIh7 4375/3888 875/648 6125/3888 875/486 ~ 9/8 27/20 63/40 9/5
gEbh7 gIIIh7 6125/5832 875/729 4375/2916 875/486 ~ 21/20 6/5 3/2 9/5
Ch7 Ih7 4375/4374 21875/17496 4375/2916 30625/17496 ~ 1/1 5/4 3/2 7/4

5120/5103 (hemifamity or saruyo)

Monzo : [9 -6 1 -1⟩

pump5120

Ch7 Ih7 1/1 5/4 3/2 7/4
yEs6 yIIIs6 35/32 5/4 35/24 7/4
yAh7 yVIh7 25/24 5/4 35/24 5/3
yyIVs6 yyF#s6 25/24 25/21 25/18 5/3
yDh7 yIIh7 35/36 10/9 25/18 5/3
yDs6 yIIs6 20/21 10/9 4/3 5/3
[ry=w]Eh7 [ry=Lw]IIIh7 20/21 10/9 80/63 100/63 ~ 243/128 567/512 81/64 405/256
yC#s6 LyIs6 400/441 200/189 80/63 100/63 ~ 405/224 135/128 81/64 405/256
Ah7 wVIh7 200/189 80/63 40/27 320/189 ~ 135/128 81/64 189/128 27/16
zCs6 zIs6 80/81 32/27 40/27 320/189 ~ 63/64 189/160 189/128 27/16
Dh7 wIIh7 80/81 640/567 800/567 320/189 ~ 63/64 9/8 45/32 27/16
zDs6 zIVs6 80/81 640/567 320/243 128/81 ~ 63/64 9/8 21/16 63/40
Gh7 Vh7 1600/1701 640/567 320/243 2560/1701 ~ 15/16 9/8 21/16 3/2
zBbs6 zVIIs6 256/243 320/243 2560/1701 1280/729 ~ 21/20 21/16 3/2 7/4
Ch7 Ih7 5120/5103 6400/5103 2560/1701 1280/729 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4
yAh7 yVIh7 25/24 5/4 35/24 5/3
yDh7 yIIh7 35/36 10/9 25/18 5/3
[ry=w]Eh7 [ry=Lw]IIIh7 20/21 10/9 80/63 100/63 ~ 243/128 567/512 81/64 405/256
Ah7 wVIh7 200/189 80/63 40/27 320/189 ~ 135/128 81/64 189/128 27/16
Dh7 wIIIh7 80/81 640/567 800/567 320/189 ~ 63/64 9/8 45/32 27/16
Gh7 Vh7 1600/1701 640/567 320/243 2560/1701 ~ 15/16 9/8 21/16 3/2
zBbs6 zVIIs6 256/243 320/243 2560/1701 1280/729 ~ 21/20 21/16 3/2 7/4
Ch7 Ih7 5120/5103 6400/5103 2560/1701 1280/729 ~ 1/1 5/4 3/2 7/4

6144/6125 (porwell or saruru-trigu)

Monzo : [11 1 -3 -2⟩

pump6144

Ch7 Ih7 1/1 5/4 3/2 7/4
zyGs6 zyVs6 35/32 5/4 35/24 7/4
yEh7 yIIIh7 35/32 5/4 25/16 15/8
zyDs6 zyIIs6 35/32 21/16 105/64 15/8
zyDh7 zyIIh7 35/32 175/128 105/64 245/128
[zyyF#=rgF]s6 [zyy=rg]IVs6 525/512 175/128 75/64 105/64 ~ 36/35 48/35 288/245 288/175
rgFh7 rgIVh7 525/512 1225/1024 175/128 875/512 ~ 36/35 6/5 48/35 12/7
Cs6 Is6 6125/6144 1225/1024 6125/4096 875/512 ~ 1/1 6/5 3/2 12/7
gEbh7 gIIIh7 8575/8192 1225/1024 6125/4096 3675/2048 ~ 21/20 6/5 3/2 9/5
Gs6 Vs6 18375/16384 2625/2048 6125/4096 3675/2048 ~ 9/8 9/7 3/2 9/5
Gh7 Vh7 18375/16384 42875/32768 6125/4096 30625/16384 ~ 9/8 21/16 3/2 15/8
yEs6 yIIIs6 4375/4096 30625/24576 6125/4096 30625/16384 ~ 15/14 5/4 3/2 15/8
Ch7 Ih7 6125/6144 30625/24576 6125/4096 42875/24576 ~ 1/1 5/4 3/2 7/4
Ch7 Ih7 1/1 5/4 3/2 7/4
yEh7 yIIIh7 35/32 5/4 25/16 15/8
zyDh7 zyIIh7 35/32 175/128 105/64 245/128
[zyyF#=rgF]h7 [zyy=rg]IVh7 525/512 1225/1024 175/128 875/512 ~ 36/35 6/5 48/35 12/7
gEbh7 gIIIh7 8575/8192 1225/1024 6125/4096 3675/2048 ~ 21/20 6/5 3/2 9/5
Gh7 Vh7 18375/16384 42875/32768 6125/4096 30625/16384 ~ 9/8 21/16 3/2 15/8
Ch7 Ih7 6125/6144 30625/24576 6125/4096 42875/24576 ~ 1/1 5/4 3/2 7/4

10976/10935 (hemimage or satrizo-agu)

Monzo : [5 -7 -1 3⟩

pump10976

64827/64000 (squalentine or laquadzo-atrigu)

Monzo : [-9 3 -3 4⟩

pump64827

13-limit examples

676/675 (parizeksmic or bithogu)

Monzo : [2 -3 -2 0 0 2⟩

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

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