Comma pump examples

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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)

See 12edo comma pump examples.

250/243 (porcupine)

parizek2

2048/2025 (diaschismic)

parizek1

Also see 12edo comma pump examples.

3125/3072 (magic)

parizek4

15625/15552 (hanson)

parizek6

battaglia-hanson [dead link]

16875/16384 (negri)

parizek3

20000/19683 (tetracot)

parizek7

78732/78125 (sensi)

parizek5

pump78732

1600000/1594323 (amity)

amity

tetradic pump [dead link]

2109375/2097152 (semicomma, 5-limit orwell)

semicomma

7-limit examples

126/125 (starling)

pump126

1 5/4 3/2 7/4 ~ 125/126 625/504 125/84 125/72
21/20 21/16 3/2 7/4 ~ 25/24 125/96 125/84 125/72
21/20 6/5 3/2 9/5 ~ 25/24 25/21 125/84 25/14
36/35 6/5 36/25 9/5 ~ 50/49 25/21 10/7 25/14
27/25 63/50 36/25 9/5 ~ 15/14 5/4 10/7 25/14
126/125 63/50 189/125 441/250 ~ 1 5/4 3/2 7/4
1 5/4 3/2 7/4 ~ 125/126 625/504 125/84 125/72
21/20 6/5 3/2 9/5 ~ 25/24 25/21 125/84 25/14
27/25 63/50 36/25 9/5 ~ 15/14 5/4 10/7 25/14
126/125 63/50 189/125 441/250 ~ 1 5/4 3/2 7/4

225/224 (marvel)

pump225

1 5/4 3/2 7/4 ~ 225/224 1125/896 675/448 225/128
1 7/6 7/5 7/4 ~ 225/224 75/64 45/32 225/128
14/15 7/6 7/5 49/30 ~ 15/16 75/64 45/32 105/64
14/15 7/6 4/3 14/9 ~ 15/16 75/64 75/56 25/16
14/15 49/45 56/45 14/9 ~ 15/16 35/32 5/4 25/16
14/15 16/15 56/45 112/75 ~ 15/16 15/14 5/4 3/2
224/225 56/45 112/75 392/225 ~ 1 5/4 3/2 7/4
1 5/4 3/2 7/4 ~ 225/224 1125/896 675/448 225/128
1 7/6 7/5 7/4 ~ 225/224 75/64 45/32 225/128
14/15 7/6 4/3 14/9 ~ 15/16 75/64 75/56 25/16
14/15 16/15 56/45 112/75 ~ 15/16 15/14 5/4 3/2
224/225 56/45 112/75 392/225 ~ 1 5/4 3/2 7/4

245/243 (sensamagic)

pump245

1 5/4 3/2 7/4 ~ 245/243 1225/972 245/162 1715/972
15/14 9/7 3/2 12/7 ~ 175/162 35/27 245/162 140/81
27/28 9/8 9/7 45/28 ~ 35/36 245/216 35/27 175/108
27/28 54/49 135/98 81/49 ~ 35/36 10/9 25/18 5/3
405/392 243/196 81/56 81/49 ~ 25/24 5/4 35/24 5/3
243/245 243/196 729/490 243/140 ~ 1 5/4 3/2 7/4
1 5/4 3/2 7/4 ~ 245/243 1225/972 245/162 1715/972
27/28 9/8 9/7 45/28 ~ 35/36 245/216 35/27 175/108
405/392 243/196 81/56 81/49 ~ 25/24 5/4 35/24 5/3
243/245 243/196 729/490 243/140 ~ 1 5/4 3/2 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)

pump686

875/864 (keemic)

pump875

1029/1024 (gamelismic)

pump1029

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

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

1-8/7-10/7-12/7

20/21-8/7-10/7-80/49

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

48/49-384/343-64/49-384/245

384/343-64/49-512/343-640/343

256/245-64/49-512/343-256/147

1024/1029-1280/1029-512/343-256/147

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

1-8/7-10/7-12/7

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

384/343-64/49-512/343-640/343

1024/1029-1280/1029-512/343-256/147

1728/1715 (orwellismic)

pump1728

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

1-7/6-7/5-7/4

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

49/48-7/6-49/36-49/30

49/48-343/288-49/36-245/144

343/288-49/36-343/216-343/180

1715/1728-343/288-2401/1728-343/216

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

49/48-343/288-49/36-245/144

1715/1728-343/288-2401/1728-343/216

1715/1728-8575/6912-1715/1152-12005/6912

2401/2400 (breed)

pump2401

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

21/20-21/16-3/2-7/4

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

49/48-49/40-49/32-7/4

343/320-49/40-49/32-147/80

343/320-1029/800-1029/640-147/80

343/320-1029/800-2401/1600-343/200

343/320-2401/1920-2401/1600-2401/1280

7203/6400-16807/12800-2401/1600-2401/1280

16807/16000-16807/12800-2401/1600-16807/9600

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

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

7203/6400-16807/12800-2401/1600-2401/1280

2401/2400-2401/1920-2401/1600-16807/9600

3125/3087 (gariboh)

pump3125

3136/3125 (hemimean)

pump3136

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

1-7/6-7/5-7/4

1-6/5-7/5-8/5

14/15,28/25-7/5-8/5

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

686/625-784/625-196/125-1176/625

672/625-784/625-4704/3125-1176/625

3136/3125-784/625-4704/3125-5488/3125

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

1-6/5-7/5-8/5

28/25-7/5-42/25-49/25

28/25-168/125-196/125-224/125

686/625-784/625-196/125-1176/625

3136/3125-784/625-4704/3125-5488/3125

4000/3969 (octagar)

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)

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)

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)

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)

pump10976

64827/64000 (squalentine)

pump64827

13-limit examples

676/675 (parizeksmic)

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