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Juggling notation

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101: 32: 24: 178:, where three props are thrown before the same prop will be caught and thrown again. Within the "531531" pattern, the prop thrown first, the '5' throw, will not be caught until five throws have been made, including itself, where it will be thrown again as a '1'. The prop thrown next, the '3', will be thrown again on the third throw afterwards, the next '3'. And the next prop is thrown with a '1' throw, which is a direct pass to the other hand and will be thrown on the very next throw as a '5'. 136: 654: 77: 202:. "Multiplex", in the world of juggling, means "more than one ball is in the hand at the time of the throw". Multiplex Siteswap allows you to notate such patterns, and also can be mixed with synchronous siteswap. A multiplex is described by a digit for each prop in the multiplex throw contained within square brackets. "2323" is a common four ball multiplex. 229:(GS) - Developed by Ben Beever, GS places siteswap into a matrix that uses optional, additional rows to describe any desired attributes of the throws or catches within a pattern, such as timing issues (e.g. for synch patterns), number of spins (e.g. for clubs) and hand position/orientation (e.g. for backcrosses, claw catches etc.). 189:"Vanilla" siteswap is the most basic form of siteswap and uses only a simple string of digits to describe patterns that throw only one prop at a time, alternating between hands. For slightly more complicated patterns, extra rules and syntax are added to create the following two siteswap extensions: 56:
have a reputation for being "easier done than said" – while it might be easy to learn a given maneuver and demonstrate it for others, it is often much harder to communicate the idea accurately using speech or plain text. To circumvent this problem, various numeric or diagram-based notation systems
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Because the number represents the number of throws that occur before that prop will be caught, it also can be thought to describe how high one throws the prop, or how long it remains in the air relative to the other throws, where even numbers inevitably come back to the same hand and odd numbers
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The following notation systems use only numbers and common characters. The patterns can easily be communicated by text. Most numeric systems are designed to be processed by software juggling simulators — for example, to view juggling patterns as computer animations.
196:, or "Synch" Siteswap. This is used to notate patterns where both hands throw at the same time, rather than alternating left and right hands. The numbers for the two throws are combined in parentheses and separated by a comma. For example, "(4,4)(4,4)(4,4)". 173:
A given juggling pattern is represented by a sequence of digits, like "333", "97531", or "744". Each digit represents the number of throws that occur by the time that same prop will be caught. For example, "333" represents a common three-ball
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Vanilla, synch, and multiplex siteswap are the "standard" forms of siteswap. Not only are they understood by jugglers, there are also many computer programs capable of animating juggling patterns entered in siteswap notation.
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The number of props in a given juggling pattern can be determined by the average of one repeating group. "633633633", therefore describes a four-prop pattern, while "414414414" describes a three-prop juggling pattern.
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held in a juggler's hands. Instead it only shows each "problem" — an incoming prop — and what the juggler should do to make space in his or her hands to catch that incoming prop. It is usually used for
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Other extensions to siteswap have been developed for specific purposes. These are far less common than the "standard" forms of siteswap, understood by far fewer jugglers and only specialized software.
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While diagrams are the most visual and reader-friendly way to notate many juggling patterns, they rely on images, so are complicated to produce and unwieldy to share via text or speech.
96:- Each rung on the "ladder" represents a point in time (or "beat"). The juggled objects are represented as lines, their paths through time and between a pair of hands. 425: 333: 372: 223:(MHN) - Developed by Ed Carstens for use with his juggling program JugglePro, MHN can describe patterns with any number of hands and at any rhythm. 57:
have been developed to facilitate communication of patterns or tricks between jugglers, as well the investigation and discovery of new patterns.
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is a popular pattern in which the arms cross and uncross. Mills Mess State Transition Diagrams can be used to track these basic arm movements.
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around 1981, was not printed till 2010, the first printed diagram and second oldest notation system were proposed by Jeff Walker in 1982.
472: 831: 280: 399: 403: 523: 492: 797: 836: 807: 330: 812: 802: 464: 64:) was first proposed by Dave Storer in 1978 and while the first juggling diagram (a ladder diagram), by 1013: 853: 726: 1003: 633: 166:
Developed by mathematically inclined jugglers Bengt Magnusson and Bruce "Boppo" Tiemann in 1985,
1066: 1040: 841: 516: 963: 1035: 819: 692: 607: 8: 1025: 1008: 792: 784: 582: 536: 288: 252:"New juggling tricks created by maths (archived, only accessible for paying subscribers)" 100: 61: 662: 628: 572: 562: 377: 175: 118: 31: 301: 251: 1061: 948: 901: 863: 824: 638: 621: 587: 549: 509: 419: 1020: 926: 906: 766: 741: 577: 544: 501: 297: 53: 968: 567: 476: 337: 305: 23: 1030: 886: 756: 751: 731: 602: 557: 139: 83: 65: 35: 1055: 896: 848: 761: 736: 697: 670: 643: 256: 113: 50: 439: 135: 975: 958: 953: 936: 911: 881: 771: 709: 17: 702: 680: 653: 980: 921: 685: 354: 128: 721: 597: 76: 916: 876: 868: 675: 617: 592: 532: 373:"Jugglers Now Juggle Numbers to Compute New Tricks for Ancient Art" 167: 161: 46: 104:<3p333:3p333> pattern ladder diagram with a rail per juggler 931: 891: 714: 943: 746: 496: 987: 406:. 2003-12-03. Archived from the original on October 16, 2007 479: (archived August 10, 2015). Accessed: 5 February 2010. 331:
The Academic Juggler: The Invention Of Juggling Notations
217:- used for simple passing patterns and prechac transforms 121:
and can be displayed or edited in some juggling software.
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is the written depiction of concepts and practices in
112:- Similar to the ladder diagram but doesn't show the 531: 142:
for the <3p333:3p333> juggling passing pattern
1053: 424:: CS1 maint: bot: original URL status unknown ( 279:Beek, Peter J.; Lewbel, Arthur (November 1995). 16:"Beatmap" redirects here. For other uses, see 517: 170:is by far the most common juggling notation. 27:Diagrams for the cascade pattern, siteswap: 3 524: 510: 278: 465:Siteswap Ben's Guide to Juggling Patterns 249: 400:"Read This: The Mathematics of Juggling" 245: 243: 134: 99: 75: 30: 22: 370: 1054: 250:Klarreich, Erica (December 25, 2004). 505: 323: 240: 60:A juggling notation system (based on 125:Mills Mess State Transition Diagrams 440:"Siteswap Fundamentals ⋆ Thom Wall" 404:Mathematical Association of America 13: 392: 364: 14: 1078: 486: 302:10.1038/scientificamerican1195-92 652: 71: 457: 432: 347: 272: 182:cross over to the other hand. 1: 233: 371:Donahue, Bill (1996-04-16). 353:Voss, Jochen (2012-02-18). " 7: 155: 10: 1083: 159: 146: 15: 996: 862: 780: 661: 650: 543: 281:"The Science of Juggling" 329:Lewbel, Arthur (1996). " 38:for the cascade pattern 361:(accessed 10/28/2017). 143: 105: 86: 39: 28: 463:Beever, Ben (2001). " 355:Ball Passing Patterns 138: 103: 79: 34: 26: 793:Juggling Conventions 634:Rubenstein's Revenge 227:Generalised Siteswap 194:Synchronous Siteswap 1026:Rhythmic gymnastics 537:object manipulation 311:on October 15, 2009 289:Scientific American 221:Multi-Hand Notation 378:The New York Times 336:2014-07-14 at the 200:Multiplex Siteswap 144: 106: 87: 40: 29: 1049: 1048: 902:Coin manipulation 493:Juggling notation 43:Juggling notation 36:Shannon's theorem 1074: 927:Flair bartending 907:Contact juggling 656: 526: 519: 512: 503: 502: 480: 469:JugglingEdge.com 461: 455: 454: 452: 451: 436: 430: 429: 423: 415: 413: 411: 396: 390: 389: 387: 385: 368: 362: 351: 345: 327: 321: 320: 318: 316: 310: 304:. Archived from 285: 276: 270: 269: 267: 265: 247: 215:Passing siteswap 1082: 1081: 1077: 1076: 1075: 1073: 1072: 1071: 1052: 1051: 1050: 1045: 992: 866: 858: 825:Combat juggling 782: 776: 657: 648: 547: 539: 530: 489: 484: 483: 477:Wayback Machine 462: 458: 449: 447: 438: 437: 433: 417: 416: 409: 407: 398: 397: 393: 383: 381: 369: 365: 352: 348: 338:Wayback Machine 328: 324: 314: 312: 308: 283: 277: 273: 263: 261: 248: 241: 236: 164: 158: 149: 110:Causal diagrams 94:Ladder diagrams 81: 80:Ladder diagram: 74: 21: 12: 11: 5: 1080: 1070: 1069: 1064: 1047: 1046: 1044: 1043: 1038: 1033: 1028: 1023: 1018: 1017: 1016: 1006: 1000: 998: 994: 993: 991: 990: 985: 984: 983: 973: 972: 971: 961: 956: 951: 946: 941: 940: 939: 929: 924: 919: 914: 909: 904: 899: 894: 889: 887:Baton twirling 884: 879: 873: 871: 860: 859: 857: 856: 851: 846: 845: 844: 834: 829: 828: 827: 817: 816: 815: 810: 805: 800: 789: 787: 778: 777: 775: 774: 769: 764: 759: 757:Plate spinning 754: 749: 744: 739: 734: 732:Flagging dance 729: 724: 719: 718: 717: 707: 706: 705: 695: 690: 689: 688: 683: 678: 667: 665: 659: 658: 651: 649: 647: 646: 641: 636: 631: 626: 625: 624: 610: 605: 600: 595: 590: 585: 580: 575: 570: 565: 560: 554: 552: 541: 540: 529: 528: 521: 514: 506: 500: 499: 488: 487:External links 485: 482: 481: 456: 431: 391: 363: 346: 322: 271: 238: 237: 235: 232: 231: 230: 224: 218: 204: 203: 197: 160:Main article: 157: 154: 148: 145: 140:Causal diagram 133: 132: 122: 98: 97: 73: 70: 66:Claude Shannon 62:music notation 9: 6: 4: 3: 2: 1079: 1068: 1067:Toss juggling 1065: 1063: 1060: 1059: 1057: 1042: 1041:World records 1039: 1037: 1034: 1032: 1029: 1027: 1024: 1022: 1019: 1015: 1014:Ancient China 1012: 1011: 1010: 1007: 1005: 1002: 1001: 999: 995: 989: 986: 982: 979: 978: 977: 974: 970: 967: 966: 965: 962: 960: 957: 955: 952: 950: 947: 945: 942: 938: 935: 934: 933: 930: 928: 925: 923: 920: 918: 915: 913: 910: 908: 905: 903: 900: 898: 895: 893: 892:Chinese yo-yo 890: 888: 885: 883: 882:Alaskan yo-yo 880: 878: 875: 874: 872: 870: 865: 861: 855: 852: 850: 849:Renegade show 847: 843: 840: 839: 838: 835: 833: 830: 826: 823: 822: 821: 818: 814: 811: 809: 806: 804: 801: 799: 796: 795: 794: 791: 790: 788: 786: 779: 773: 770: 768: 765: 763: 760: 758: 755: 753: 750: 748: 745: 743: 740: 738: 737:Flag throwing 735: 733: 730: 728: 725: 723: 720: 716: 713: 712: 711: 708: 704: 701: 700: 699: 696: 694: 691: 687: 684: 682: 679: 677: 674: 673: 672: 669: 668: 666: 664: 660: 655: 645: 642: 640: 637: 635: 632: 630: 627: 623: 619: 616: 615: 614: 611: 609: 606: 604: 601: 599: 596: 594: 591: 589: 586: 584: 581: 579: 576: 574: 571: 569: 566: 564: 561: 559: 556: 555: 553: 551: 546: 542: 538: 534: 527: 522: 520: 515: 513: 508: 507: 504: 498: 494: 491: 490: 478: 474: 473:BenBeever.com 470: 466: 460: 445: 441: 435: 427: 421: 405: 401: 395: 380: 379: 374: 367: 360: 356: 350: 343: 339: 335: 332: 326: 307: 303: 299: 295: 291: 290: 282: 275: 259: 258: 257:New Scientist 253: 246: 244: 239: 228: 225: 222: 219: 216: 213: 212: 211: 208: 201: 198: 195: 192: 191: 190: 187: 183: 179: 177: 171: 169: 163: 153: 141: 137: 130: 126: 123: 120: 115: 111: 108: 107: 102: 95: 92: 91: 90: 85: 78: 72:Diagram-based 69: 67: 63: 58: 55: 52: 51:Toss juggling 48: 44: 37: 33: 25: 19: 959:Pen spinning 954:Keepie uppie 937:Hoop rolling 912:Devil sticks 820:Competitions 772:Trick roping 710:Cup-and-ball 612: 468: 459: 448:. 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Index

drum pattern


Shannon's theorem
juggling
Toss juggling
patterns
music notation
Claude Shannon

box

props
club passing
Mills Mess

Causal diagram
Siteswap
siteswap
cascade


"New juggling tricks created by maths (archived, only accessible for paying subscribers)"
New Scientist
"The Science of Juggling"
Scientific American
doi
10.1038/scientificamerican1195-92
the original
The Academic Juggler: The Invention Of Juggling Notations

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