Comma pump examples: Difference between revisions
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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 | |||
== | Ih7 -- zVIIs7 -- gIIIh7 -- gIIIs7 -- [ggV=ryIV]h7 -- Ih7 -- gIIIh7 -- [ggV=ryIV]h7 -- Ih7 | ||
{| 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- | yVIs7 = w1 - y3 - ry4 - y6 = 1/1-5/4-10/7-5/3 | ||
1- | 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 | |||
48/49- | 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 | |||
1- | 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)== | |||
''[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 | |||
== | Ih7 -- zIIIs7 -- zIIIh7 -- [zzV=rgIV]s7 -- rgIVh7 -- gVIs7 -- gVIh7 -- Is7 -- Ih7 -- zIIIh7 -- [zzV=rgIV]h7 -- gVIh7 -- Ih7 | ||
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'' | ||
[[Category:comma]] | [[Category:comma]] |