Comma pump examples: Difference between revisions

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__FORCETOC__
Chord names are explained in [[Color notation #Chord names]].
=3-limit examples=


==256/243 (blackwood)==
== 3-limit examples ==
 
=== 256/243 (blackwood) ===
[http://snd.sc/iZLLpY battaglia-blackwood] {{dead link}}
* [https://soundcloud.com/mikebattagliaexperiments/blackwood-comma-pump Mike Battaglia's blackwood comma pump]
 
=5-limit examples=
 
==81/80 (meantone)==


== 5-limit examples ==
=== 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)==
=== 128/125 (augmented or trigu) ===
 
See [[12edo comma pump examples]].
See [[12edo comma pump examples]].


==250/243 (porcupine)==
=== 250/243 (porcupine or triyo) ===
 
* [https://web.archive.org/web/20201127013712/http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_2.ogg Pařízek's porcupine comma pump]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_2.ogg parizek2]
* [https://www.youtube.com/watch?v=XSfnyr1MhXE Mike Battaglia's porcupine comma pump]


==2048/2025 (diaschismic)==
[[File:PorcupineCommaPump22edo.mp3]]
From ''Mizarian Ouverture'' by [[Herman Miller]]


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_1.ogg parizek1]
=== 2048/2025 (diaschismic or sagugu) ===
Pařízek's diaschisma pump [https://web.archive.org/web/20201127014513/http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_1.ogg play] | [https://luphoria.com/xenpaper/#(osc%3Asawtooth8)(bpm%3A90)_%7Br220hz%7D%0A%23_This_is_a_transcription_of_Pa%C5%99%C3%ADzek's_diaschisma_comma_pump.png%0A%23_Just_intonation%2C_with_pitch_drifting.%0A2%3A3%3A5--%7Br5%2F4%7D_2%3A3%3A4-_%7Br%603%2F2%7D_2%3A3%3A5_%7Br%603%2F2%7D_2%3A5%3A6--_%7Br5%2F4%7D_2%3A3%3A5-_%7Br%603%2F2%7D_2%3A5%3A6_%7Br3%2F2%7D_%0A2%3A3%3A5--%7Br5%2F4%7D_2%3A3%3A4-_%7Br%603%2F2%7D_2%3A3%3A5_%7Br%603%2F2%7D_2%3A5%3A6--_%7Br5%2F4%7D_2%3A3%3A5-_%7Br%603%2F2%7D_2%3A5%3A6_%7Br3%2F2%7D%0A2%3A3%3A5--%7Br5%2F4%7D_2%3A3%3A4-_%7Br%603%2F2%7D_2%3A3%3A5_%7Br%603%2F2%7D_2%3A5%3A6--_%7Br5%2F4%7D_2%3A3%3A5-_%7Br%603%2F2%7D_2%3A5%3A6_%7Br3%2F2%7D_%0A2%3A3%3A5--%7Br5%2F4%7D_2%3A3%3A4-_%7Br%603%2F2%7D_2%3A3%3A5_%7Br%603%2F2%7D_2%3A5%3A6--_%7Br5%2F4%7D_2%3A3%3A5-_%7Br%603%2F2%7D_2%3A5%3A6_%7Br3%2F2%7D_%0A2%3A3%3A5--%0A%23_We_are_now_4_diaschismas_from_where_we_started.%0A...%0A2%3A3%3A5-_%7Br220hz%7D_2%3A3%3A5-%0A..%0A%23_12edo%2C_the_comma_is_tempered_out_therefore_there_is_no_pitch_drifting.%0A%0A%7B12edo%7D%0A%5B0%2C7%2C16%5D--_%7Br4%7D_%5B0%2C7%2C12%5D-_%7Br%607%7D_%5B0%2C7%2C16%5D_%7Br%607%7D_%5B0%2C16%2C19%5D--_%7Br4%7D_%5B0%2C7%2C16%5D-_%7Br%607%7D_%5B0%2C16%2C19%5D_%7Br7%7D%5B0%2C7%2C16%5D--_%7Br4%7D_%5B0%2C7%2C12%5D-_%7Br%607%7D_%5B0%2C7%2C16%5D_%7Br%607%7D_%5B0%2C16%2C19%5D--_%7Br4%7D_%5B0%2C7%2C16%5D-_%7Br%607%7D_%5B0%2C16%2C19%5D_%7Br7%7D%0A%5B0%2C7%2C16%5D--_%7Br4%7D_%5B0%2C7%2C12%5D-_%7Br%607%7D_%5B0%2C7%2C16%5D_%7Br%607%7D_%5B0%2C16%2C19%5D--_%7Br4%7D_%5B0%2C7%2C16%5D-_%7Br%607%7D_%5B0%2C16%2C19%5D_%7Br7%7D%0A%5B0%2C7%2C16%5D--_%7Br4%7D_%5B0%2C7%2C12%5D-_%7Br%607%7D_%5B0%2C7%2C16%5D_%7Br%607%7D_%5B0%2C16%2C19%5D--_%7Br4%7D_%5B0%2C7%2C16%5D-_%7Br%607%7D_%5B0%2C16%2C19%5D_%7Br7%7D%0A%5B0%2C7%2C16%5D--_%0A%23The_root_hasn't_changed_from_where_we_started. xenpaper]


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


==3125/3072 (magic)==
=== 3125/3072 (magic or laquinyo) ===  
 
* [https://web.archive.org/web/20201127014928/http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_4.ogg Pařízek's magic comma pump]
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_4.ogg parizek4]
 
==15625/15552 (hanson)==
 
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_6.ogg parizek6]
 
[http://snd.sc/maFX0r battaglia-hanson] {{dead link}}
 
==16875/16384 (negri)==
 
[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_3.ogg parizek3]


==20000/19683 (tetracot)==
=== 15625/15552 (hanson or tribiyo) ===
* [https://web.archive.org/web/20201127013954/http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_6.ogg Pařízek's hanson comma pump]
* [https://soundcloud.com/mikebattagliaexperiments/hanson-comma-pump Mike Battaglia's hanson comma pump]


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_7.ogg parizek7]
=== 16875/16384 (negri or laquadyo) ===
* [https://web.archive.org/web/20201127013814/http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_3.ogg Pařízek's negri comma pump]
* [https://www.youtube.com/watch?v=bCLZChG6U6c Mike Battaglia's negri comma pump]


==78732/78125 (sensi)==
=== 20000/19683 (tetracot or saquadyo) ===
* [https://web.archive.org/web/20201127012628/http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_7.ogg Pařízek's tetracot comma pump]
* [https://luphoria.com/xenpaper/#(osc%3Asawtooth8)(bpm%3A60)_%7Br220hz%7D%0A%23_Just_intonation%2C_with_pitch_drifting.%0A8%3A10%3A12-_%7Br10%2F9%7D_8%3A10%3A12-_%7Br10%2F9%7D10%3A12%3A15-_%7Br2%2F3%7D_10%3A12%3A15_%7Br10%2F9%7D_10%3A12%3A15_%7Br10%2F9%7D%0A8%3A10%3A12-_%7Br10%2F9%7D_8%3A10%3A12-_%7Br10%2F9%7D10%3A12%3A15-_%7Br2%2F3%7D_10%3A12%3A15_%7Br10%2F9%7D_10%3A12%3A15_%7Br10%2F9%7D%0A8%3A10%3A12-_%7Br10%2F9%7D_8%3A10%3A12-_%7Br10%2F9%7D10%3A12%3A15-_%7Br2%2F3%7D_10%3A12%3A15_%7Br10%2F9%7D_10%3A12%3A15_%7Br10%2F9%7D_%0A8%3A10%3A12-_%7Br10%2F9%7D_8%3A10%3A12-_%7Br10%2F9%7D10%3A12%3A15-_%7Br2%2F3%7D_10%3A12%3A15_%7Br10%2F9%7D_10%3A12%3A15_%7Br10%2F9%7D%0A8%3A10%3A12---%0A%23_We_are_now_4_tetracot_commas_from_where_we_started.%0A8%3A10%3A12-%7Br220hz%7D8%3A10%3A12-%0A..%0A%0A%23_34edo%2C_the_comma_is_tempered_therefore_there_is_no_pitch_drifting.%0A%7B34edo%7D%0A%5B0%2C11%2C20%5D-_%7Br5%7D_%5B0%2C11%2C20%5D-_%7Br5%7D_%5B0%2C9%2C20%5D-_%7Br%6014%7D_%5B0%2C9%2C20%5D_%7Br5%7D_%5B0%2C9%2C20%5D_%7Br5%7D%0A%5B0%2C11%2C20%5D-_%7Br5%7D_%5B0%2C11%2C20%5D-_%7Br5%7D_%5B0%2C9%2C20%5D-_%7Br%6014%7D_%5B0%2C9%2C20%5D_%7Br5%7D_%5B0%2C9%2C20%5D_%7Br5%7D%0A%5B0%2C11%2C20%5D-_%7Br5%7D_%5B0%2C11%2C20%5D-_%7Br5%7D_%5B0%2C9%2C20%5D-_%7Br%6014%7D_%5B0%2C9%2C20%5D_%7Br5%7D_%5B0%2C9%2C20%5D_%7Br5%7D%0A%5B0%2C11%2C20%5D-_%7Br5%7D_%5B0%2C11%2C20%5D-_%7Br5%7D_%5B0%2C9%2C20%5D-_%7Br%6014%7D_%5B0%2C9%2C20%5D_%7Br5%7D_%5B0%2C9%2C20%5D_%7Br5%7D%5B0%2C11%2C20%5D---%0A%23_The_root_hasn't_changed_from_where_we_started.%0A%0A JI and 34edo tetracot comma pump]


[http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_5.ogg parizek5]
=== 78732/78125 (sensi or sepgu) ===
* [https://web.archive.org/web/20201127012749/http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pump_5.ogg Pařízek's sensi comma pump]
* [https://web.archive.org/web/20201127015318/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) ===
* [https://web.archive.org/web/20201127013644/http://micro.soonlabel.com/gene_ward_smith/pumps/pp_amity_pump.ogg Amity comma pump]
* [http://dl.dropbox.com/u/8497979/pp_amity_tetrads.ogg Tetradic pump]{{dead link}}


==1600000/1594323 (amity)==
=== 2109375/2097152 (semicomma, 5-limit orwell or lasepyo) ===
* [https://web.archive.org/web/20201127012809/http://micro.soonlabel.com/petr_parizek/pp_pump_examples/pp_orwell_pump.ogg Semicomma pump]


[http://micro.soonlabel.com/gene_ward_smith/pumps/pp_amity_pump.ogg amity]
== 7-limit examples ==
Every s6 chord can also be thought of as a s7 chord, e.g. zBbs6 could be Gs7.


[http://dl.dropbox.com/u/8497979/pp_amity_tetrads.ogg tetradic pump] {{dead link}}
=== 126/125 (starling or zotrigu) ===
Monzo: {{monzo| 1 2 -3 1 }}


==2109375/2097152 (semicomma, 5-limit orwell)==
* [https://web.archive.org/web/20201127012244/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://micro.soonlabel.com/petr_parizek/pp_pump_examples/pp_orwell_pump.ogg semicomma]
Ih7–zVIIs6–gIIIh7–gIIIs6–[ggV=ryIV]h7–Ih7–gIIIh7–[ggV=ryIV]h7–Ih7
 
=7-limit examples=
 
==126/125 (starling)==
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/126.mp3 pump126]''


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


==225/224 (marvel)==
=== 225/224 (marvel or ruyoyo) ===
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/225.mp3 pump225]''
Monzo: {{monzo| 5 2 2 -1 }}
 
* [https://web.archive.org/web/20201127012524/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
 
Ih7–zIIIs6–zgIh7–[zVI=yyV]s6–yIIIh7–yIIIs6–Ih7–zIIIs6–[zVI=yyV]s6–yIIIs6–Ih7


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


==245/243 (sensamagic)==
=== 245/243 (sensamagic or zozoyo) ===
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/245.mp3 pump245]''
Monzo: {{monzo| 0 -5 1 2 }}
 
* [https://web.archive.org/web/20201127012222/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
| Ch7
| | 5/4
| Ih7
| | 3/2
| 1/1
| | 7/4
| 5/4
| | ~
| 3/2
| | 245/243
| 7/4
| | 1225/972
| ~
| | 245/162
| 245/243
| | 1715/972
| 1225/972
| 245/162
| 1715/972
|-
|-
| | 15/14
| rAh7
| | 9/7
| rVIh7
| | 3/2
| 15/14
| | 12/7
| 9/7
| | ~
| 3/2
| | 175/162
| 12/7
| | 35/27
| ~
| | 245/162
| 175/162
| | 140/81
| 35/27
| 245/162
| 140/81
|-
|-
| | 27/28
| [rE=zyF]h7
| | 9/8
| [rIII=zyIV]h7
| | 9/7
| 27/28
| | 45/28
| 9/8
| | ~
| 9/7
| | 35/36
| 45/28
| | 245/216
| ~
| | 35/27
| 35/36
| | 175/108
| 245/216
| 35/27
| 175/108
|-
|-
| | 27/28
| yDh7
| | 54/49
| yIIh7
| | 135/98
| 27/28
| | 81/49
| 54/49
| | ~
| 135/98
| | 35/36
| 81/49
| | 10/9
| ~
| | 25/18
| 35/36
| | 5/3
| 10/9
| 25/18
| 5/3
|-
|-
| | 405/392
| yAh7
| | 243/196
| yVIh7
| | 81/56
| 405/392
| | 81/49
| 243/196
| | ~
| 81/56
| | 25/24
| 81/49
| | 5/4
| ~
| | 35/24
| 25/24
| | 5/3
| 5/4
| 35/24
| 5/3
|-
|-
| | 243/245
| Ch7
| | 243/196
| Ih7
| | 729/490
| 243/245
| | 243/140
| 243/196
| | ~
| 729/490
| | 1
| 243/140
| | 5/4
| ~
| | 3/2
| 1/1
| | 7/4
| 5/4
| 3/2
| 7/4
|-
|-
| | 1
| Ch7
| | 5/4
| Ih7
| | 3/2
| 1/1
| | 7/4
| 5/4
| | ~
| 3/2
| | 245/243
| 7/4
| | 1225/972
| ~
| | 245/162
| 245/243
| | 1715/972
| 1225/972
| 245/162
| 1715/972
|-
|-
| | 27/28
| [rE=zyF]h7
| | 9/8
| [rIII=zyIV]h7
| | 9/7
| 27/28
| | 45/28
| 9/8
| | ~
| 9/7
| | 35/36
| 45/28
| | 245/216
| ~
| | 35/27
| 35/36
| | 175/108
| 245/216
| 35/27
| 175/108
|-
|-
| | 405/392
| yAh7
| | 243/196
| yVIh7
| | 81/56
| 405/392
| | 81/49
| 243/196
| | ~
| 81/56
| | 25/24
| 81/49
| | 5/4
| ~
| | 35/24
| 25/24
| | 5/3
| 5/4
| 35/24
| 5/3
|-
|-
| | 243/245
| Ch7
| | 243/196
| Ih7
| | 729/490
| 243/245
| | 243/140
| 243/196
| | ~
| 729/490
| | 1
| 243/140
| | 5/4
| ~
| | 3/2
| 1/1
| | 7/4
| 5/4
| 3/2
| 7/4
|}
|}


1-5/4-3/2-7/4
=== 686/675 (sengic or trizo-agugu) ===
Monzo: {{monzo| 1 -3 -2 3 }}


15/14-9/7-3/2-12/7
* [https://web.archive.org/web/20201127012657/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/686.mp3 pump686]


27/28-9/8-9/7-45/28
=== 875/864 (keemic or zotriyo) ===
Monzo: {{monzo| -5 -3 3 1 }}


27/28-54/49-135/98-81/49
* [https://web.archive.org/web/20201127014634/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/875.mp3 pump875]


405/392-243/196-81/56-81/49
=== 1029/1024 (gamelismic or latrizo) ===
Monzo: {{monzo| -10 1 0 3 }}


243/245-243/196-729/490-243/140
* [https://web.archive.org/web/20201127014614/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


1-5/4-3/2-7/4
Ih7–yVIs6–rIIh7–ryVIIs6–[rrIII=zIV]h7–zIVs6–Vh7–zVIIs6–Ih7–rIIh7–[rIII=zIV]h7–Vh7–Ih7


27/28-9/8-9/7-45/28
{| class="wikitable"
|+
| 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
|}


405/392-243/196-81/56-81/49
=== 1728/1715 (orwellismic or triru-agu) ===
Monzo: {{monzo| 6 3 -1 -3 }}


243/245-243/196-729/490-243/140
* [https://web.archive.org/web/20201127012348/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


==686/675 (sengic)==
Ih7–zIIIs6–zIIIh7–[zzV=rgIV]s6–rgIVh7–gVIs6–gVIh7–Is6–Ih7–zIIIh7–[zzV=rgIV]h7–gVIh7–Ih7
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/686.mp3 pump686]''


==875/864 (keemic)==
{| class="wikitable"
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/875.mp3 pump875]''
|+
| 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
|}


==1029/1024 (gamelismic)==
=== 2401/2400 (breed or bizozogu) ===  
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1029.mp3 pump1029]''
Monzo: {{monzo| -5 -1 -2 4 }}


1-5/4-3/2-7/4
* [https://web.archive.org/web/20201127012228/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/2401.mp3 pump2401]


1-5/4-10/7-5/3
{| class="wikitable"
|+
| 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
|}


1-8/7-10/7-12/7
=== 3125/3087 (gariboh or triru-aquinyo) ===
Monzo: {{monzo| 0 2 5 -3 }}


20/21-8/7-10/7-80/49
* [https://web.archive.org/web/20201127015058/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/3125.mp3 pump3125]


48/49-8/7-64/49-80/49
=== 3136/3125 (hemimean or zozoquingu) ===
Monzo: {{monzo| 6 0 -5 2 }}


48/49-384/343-64/49-384/245
* [https://web.archive.org/web/20201127015850/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/3136.mp3 pump3136]


384/343-64/49-512/343-640/343
{| class="wikitable"
|+
| 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
|
|
|
|
|
|-
| [zg<sup>3</sup>Cbb=ryyA#]h7
| [zg<sup>3</sup>I=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
|
|
|
|
|
|-
| [zg<sup>3</sup>Cbb=ryyA#]h7
| [zg<sup>3</sup>I=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
|}


256/245-64/49-512/343-256/147
=== 4000/3969 (octagar or rurutriyo) ===
Monzo: {{monzo| 5 6 3 -2 }}


1024/1029-1280/1029-512/343-256/147
* [https://web.archive.org/web/20201127014515/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/4000.mp3 pump4000]


1-5/4-3/2-7/4
{| class="wikitable"
|+
| 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
|}


1-8/7-10/7-12/7
=== 4375/4374 (ragismic or zoquadyo) ===
Monzo: {{monzo| -1 -7 4 1 }}


48/49-8/7-64/49-80/49
* [https://web.archive.org/web/20201127014029/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/4375.mp3 pump4375]


384/343-64/49-512/343-640/343
{| class="wikitable"
|+
| 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
|}


1024/1029-1280/1029-512/343-256/147
=== 5120/5103 (hemifamity or saruyo) ===
Monzo: {{monzo| 9 -6 1 -1 }}


==1728/1715 (orwellismic)==
* [https://web.archive.org/web/20201127012859/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/5120.mp3 pump5120]
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/1728.mp3 pump1728]''


1-5/4-3/2-7/4
{| class="wikitable"
|+
| 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
|}


1-7/6-7/5-7/4
=== 6144/6125 (porwell or saruru-trigu) ===
Monzo: {{monzo| 11 1 -3 -2 }}


49/48-7/6-35/24-7/4
* [https://web.archive.org/web/20201127013806/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/6144.mp3 pump6144]


49/48-7/6-49/36-49/30
{| class="wikitable"
 
|+
49/48-343/288-49/36-245/144
| Ch7
 
| Ih7
343/288-49/36-343/216-343/180
| 1/1
 
| 5/4
1715/1728-343/288-2401/1728-343/216
| 3/2
 
| 7/4
1715/1728-343/288-1715/1152-245/144
|
 
|
1715/1728-8575/6912-1715/1152-12005/6912
|
 
|
1-5/4-3/2-7/4
|
 
|-
49/48-7/6-35/24-7/4
| zyGs6
 
| zyVs6
49/48-343/288-49/36-245/144
| 35/32
 
| 5/4
1715/1728-343/288-2401/1728-343/216
| 35/24
 
| 7/4
1715/1728-8575/6912-1715/1152-12005/6912
|
 
|
==2401/2400 (breed)==
|
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/2401.mp3 pump2401]''
|
 
|
1-5/4-3/2-7/4
|-
 
| yEh7
21/20-21/16-3/2-7/4
| yIIIh7
 
| 35/32
21/20-49/40-7/5-7/4
| 5/4
 
| 25/16
49/48-49/40-49/32-7/4
| 15/8
 
|
343/320-49/40-49/32-147/80
|
 
|
343/320-1029/800-1029/640-147/80
|
 
|
343/320-1029/800-2401/1600-343/200
|-
 
| zyDs6
343/320-2401/1920-2401/1600-2401/1280
| zyIIs6
 
| 35/32
7203/6400-16807/12800-2401/1600-2401/1280
| 21/16
 
| 105/64
16807/16000-16807/12800-2401/1600-16807/9600
| 15/8
 
|
2401/2400-2401/1920-2401/1600-16807/9600
|
 
|
1-5/4-3/2-7/4 21/20-49/40-7/5-7/4
|
 
|
343/320-49/40-49/32-147/80
|-
 
| zyDh7
2401/1600-343/200-343/160-1029/400
| zyIIh7
 
| 35/32
7203/6400-16807/12800-2401/1600-2401/1280
| 175/128
 
| 105/64
2401/2400-2401/1920-2401/1600-16807/9600
| 245/128
 
|
==3125/3087 (gariboh)==
|
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/3125.mp3 pump3125]''
|
 
|
==3136/3125 (hemimean)==
|
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/3136.mp3 pump3136]''
|-
 
| [zyyF#=rgF]s6
1-5/4-3/2-7/4
| [zyy=rg]IVs6
 
| 525/512
1-7/6-7/5-7/4
| 175/128
 
| 75/64
1-6/5-7/5-8/5
| 105/64
 
| ~
14/15,28/25-7/5-8/5
| 36/35
 
| 48/35
49/50-28/25-7/5-42/25
| 288/245
 
| 288/175
24/25-28/25-168/125-42/25
|-
 
| rgFh7
28/25-168/125-196/125-224/125
| rgIVh7
 
| 525/512
147/125-168/125-196/125-1176/625
| 1225/1024
 
| 175/128
686/625-784/625-196/125-1176/625
| 875/512
 
| ~
672/625-784/625-4704/3125-1176/625
| 36/35
 
| 6/5
3136/3125-784/625-4704/3125-5488/3125
| 48/35
 
| 12/7
1-5/4-3/2-7/4
|-
 
| Cs6
1-6/5-7/5-8/5
| Is6
 
| 6125/6144
28/25-7/5-42/25-49/25
| 1225/1024
 
| 6125/4096
28/25-168/125-196/125-224/125
| 875/512
 
| ~
686/625-784/625-196/125-1176/625
| 1/1
 
| 6/5
3136/3125-784/625-4704/3125-5488/3125
| 3/2
 
| 12/7
==4000/3969 (octagar)==
|-
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/4000.mp3 pump4000]''
| gEbh7
 
| gIIIh7
1-5/4-3/2-7/4
| 8575/8192
 
| 1225/1024
1-5/4-10/7-5/3
| 6125/4096
 
| 3675/2048
15/14-5/4-10/7-25/14
| ~
 
| 21/20
1-5/4-10/7-5/3
| 6/5
 
| 3/2
20/21-25/21-10/7-5/3
| 9/5
 
|-
50/49-25/21-10/7-25/14
| Gs6
 
| Vs6
50/49-25/21-200/147-250/147
| 18375/16384
 
| 2625/2048
1000/1029-500/441-200/147-250/147
| 6125/4096
 
| 3675/2048
500/441-200/147-100/63-800/441
| ~
 
| 9/8
125/126-500/441-250/189-100/63
| 9/7
 
| 3/2
500/441-250/189-2000/1323-2500/1323
| 9/5
 
|-
200/189-250/189-2000/1323-1000/567
| Gh7
 
| Vh7
4000/3969-5000/3969-2000/1323-1000/567
| 18375/16384
 
| 42875/32768
1-5/4-3/2-7/4
| 6125/4096
 
| 30625/16384
15/14-5/4-10/7-25/14
| ~
 
| 9/8
20/21-25/21-10/7-5/3
| 21/16
 
| 3/2
50/49-25/21-200/147-250/147
| 15/8
 
|-
500/441-200/147-100/63-800/441
| yEs6
 
| yIIIs6
500/441-250/189-2000/1323-2500/1323
| 4375/4096
 
| 30625/24576
4000/3969-5000/3969-2000/1323-1000/567
| 6125/4096
 
| 30625/16384
==4375/4374 (ragismic)==
| ~
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/4375.mp3 pump4375]''
| 15/14
 
| 5/4
1-5/4-3/2-7/4
| 3/2
 
| 15/8
1-5/4-10/7-5/3
|-
 
| Ch7
25/24-5/4-35/24-5/3
| Ih7
 
| 6125/6144
35/36-7/6-35/24-5/3
| 30625/24576
 
| 6125/4096
35/36-10/9-25/18-5/3
| 42875/24576
 
| ~
35/36-175/144-25/18-175/108
| 1/1
 
| 5/4
25/27-125/108-25/18-175/108
| 3/2
 
| 7/4
25/27-175/162-35/27-175/108
|-
 
| Ch7
175/162-875/648-175/108-1225/648 ~ 27/25-27/20-81/50-189/100
| Ih7
 
| 1/1
175/162-875/648-125/81-875/486 ~ 27/25-27/20-54/35-9/5
| 5/4
 
| 3/2
4375/3888-875/648-6125/3888-875/486 ~ 9/8-27/20-63/40-9/5
| 7/4
 
|
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
|-
 
| yEh7
4375/4374-21875/17496-4375/2916-30625/17496 ~ 1-5/4-3/2-7/4
| yIIIh7
 
| 35/32
1-5/4-3/2-7/4
| 5/4
 
| 25/16
25/24-5/4-35/24-5/3
| 15/8
 
|
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
|-
 
| zyDh7
4375/3888-875/648-6125/3888-875/486 ~ 9/8-27/20-63/40-9/5
| zyIIh7
 
| 35/32
6125/5832-875/729-4375/2916-875/486 ~ 21/20-6/5-3/2-9/5
| 175/128
 
| 105/64
4375/4374-21875/17496-4375/2916-30625/17496 ~ 1-5/4-3/2-7/4
| 245/128
 
|
==5120/5103 (hemifamity)==
|
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/5120.mp3 pump5120]''
|
 
|
1-5/4-3/2-7/4
|
 
|-
35/32-5/4-35/24-7/4
| [zyyF#=rgF]h7
 
| [zyy=rg]IVh7
25/24-5/4-35/24-5/3
| 525/512
 
| 1225/1024
25/24-25/21-25/18-5/3
| 175/128
 
| 875/512
35/36-10/9-25/18-5/3
| ~
 
| 36/35
20/21-10/9-4/3-5/3
| 6/5
 
| 48/35
20/21-10/9-80/63-100/63
| 12/7
 
|-
400/441-200/189-80/63-100/63
| gEbh7
 
| gIIIh7
200/189-80/63-40/27-320/189
| 8575/8192
 
| 1225/1024
80/81-32/27-40/27-320/189
| 6125/4096
 
| 3675/2048
80/81-640/567-800/567-320/189
| ~
 
| 21/20
80/81-640/567-320/243-128/81
| 6/5
 
| 3/2
1600/1701-640/567-320/243-2560/1701
| 9/5
 
|-
256/243-320/243-2560/1701-1280/729
| Gh7
 
| Vh7
5120/5103-6400/5103-2560/1701-1280/729
| 18375/16384
 
| 42875/32768
1-5/4-3/2-7/4
| 6125/4096
 
| 30625/16384
25/24-5/4-35/24-5/3
| ~
 
| 9/8
35/36-10/9-25/18-5/3
| 21/16
 
| 3/2
20/21-10/9-80/63-100/63
| 15/8
 
|-
200/189-80/63-40/27-320/189
| Ch7
 
| Ih7
80/81-640/567-800/567-320/189
| 6125/6144
 
| 30625/24576
1600/1701-640/567-320/243-2560/1701
| 6125/4096
 
| 42875/24576  
256/243-320/243-2560/1701-1280/729
| ~
 
| 1/1
5120/5103-6400/5103-2560/1701-1280/729
| 5/4
 
| 3/2
==6144/6125 (porwell)==
| 7/4
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/6144.mp3 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
=== 10976/10935 (hemimage or satrizo-agu) ===
Monzo: {{monzo| 5 -7 -1 3 }}


6125/6144-30625/24576-6125/4096-42875/24576
* [https://web.archive.org/web/20201127012354/http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/10976.mp3 pump10976]


==10976/10935 (hemimage)==
=== 64827/64000 (squalentine or laquadzo-atrigu) ===
''[http://clones.soonlabel.com/public/micro/gene_ward_smith/pumps/10976.mp3 pump10976]''
Monzo: {{monzo| -9 3 -3 4 }}


==64827/64000 (squalentine)==
* [https://web.archive.org/web/20201127013139/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) ===
Monzo: {{monzo| 2 -3 -2 0 0 2 }}


==676/675 (parizeksmic)==
* [https://web.archive.org/web/20201127013431/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 pump]]
[[Category:comma_pump]]
[[Category:Listen]]
[[Category:listen]]
[[Category:Tuning]]
[[Category:temperament]]
[[Category:tuning]]

Latest revision as of 14:09, 11 May 2025

Chord names are explained in Color notation #Chord names.

3-limit examples

256/243 (blackwood)

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)

From Mizarian Ouverture by Herman Miller

2048/2025 (diaschismic or sagugu)

Pařízek's diaschisma pump play | xenpaper

Also see 12edo comma pump examples.

3125/3072 (magic or laquinyo)

15625/15552 (hanson or tribiyo)

16875/16384 (negri or laquadyo)

20000/19683 (tetracot or saquadyo)

78732/78125 (sensi or sepgu)

1600000/1594323 (amity or saquinyo)

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

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⟩

875/864 (keemic or zotriyo)

Monzo: [-5 -3 3 1⟩

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⟩

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⟩

3136/3125 (hemimean or zozoquingu)

Monzo: [6 0 -5 2⟩

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⟩

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⟩

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⟩

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⟩

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⟩

64827/64000 (squalentine or laquadzo-atrigu)

Monzo: [-9 3 -3 4⟩

13-limit examples

676/675 (parizeksmic or bithogu)

Monzo: [2 -3 -2 0 0 2⟩

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