Comma pump examples: Difference between revisions

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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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

Revision as of 20:58, 18 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)

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

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

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)

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 - rrr1 - rr3 - rrg5 = 48/49-384/343-64/49-384/245

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

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

Ih7 = srrrVIIh7 = srrr7 - rrry2 - rrr4 - 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 = rrrIVh7 = 384/343-64/49-512/343-640/343

Ih7 = srrrVIIh7 = 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 - zzz4 - zz5 - zzy7 = 49/48-343/288-49/36-245/144

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

gVIh7 = zzzVIIh7 = zzzy2 - zzz4 - z46 - zzz7 = 1715/1728-343/288-2401/1728-343/216

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

Ih7 = zzzyIIh7 = zzzy2 - zzzyy4 - zzzy6 - zzzzy8 = 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 = zzzVIIh7 = 1715/1728-343/288-2401/1728-343/216

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

2401/2400 (breed or quadzo gugu)

pump2401 Ih7 --

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

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

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