Knowledge (XXG)

Arca Musarithmica

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This arca has been extensively photographed. A complete set of photos of its contents have been made and are available from the University of WĂźrzburg. The handwriting on its rods resembles the handwriting in the plates in Musurgia Universalis, although there are a few differences in transcription.
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Mechanical music-making is nothing more than a particular system invented by us whereby anyone, even the ἀμουσος may, through various applications of compositional instruments compose melodies according to a desired style. We shall briefly relate how this mechanical music-making is done and, lest we
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Jim Bumgardner has created a data transcription and software simulation of the algorithms employed by the Arca which produces both MIDI files as well as PDF scores. The data was transcribed from the tables in Musurgia Universalis, the illustrations in "Organum Mathematicum", and photographs of the
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Years later, his belongings, bequeathed to Cambridge, included an Arca. It is unclear if Pepys constructed or commissioned this, based on the instructions in the book, or if he purchased it or received it as a gift. His diary makes no mention of it (he stopped recording entries in 1669). It has
51:. Through simple combinatoric techniques it is capable of producing millions of pieces of 4-part polyphonic music. Like other calculating aids of the period, the Arca prefigures modern computing technology. It is among the earliest examples of "Artificial Creativity". The device anticipates 136:
to show how a small amount of musical material can be combined to produce a prodigious number of melodies. Kircher goes on to describe the Arca itself, which employs this technique, and includes a fold-out illustration of the device as well as a tables indicating the content of all the rods
153:. The Organum is a similar kind of cabinet which can perform more general calculations (arithmetical, astronomical, and so on), in addition to creating music compositions. The musical portion of the Organum Mathematicum is essentially the same as the Arca, although there are fewer rods. 103:
The arca is a box containing a set of wooden rods or slats (or "tariffa" as Kircher called them). Each slat contains a set of numbers, which correspond to notes in a scale or mode, as well as an assortment of rhythmic treatments for those notes.
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was influenced by Kircher's combinatorial techniques, as his own "Rules of Composition" bear some similarities. The Pepysian library does not currently keep their Arca out on display, and there are few photographs available of its contents.
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Kircher first described the Arca in his book "Musurgia Universalis" (1650). Book 8 of this work (Musurgia Mirifica) is a longer treatise on using combinatoric techniques to construct music. Like the previous writings of
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Bohnert, Agnes Cäcilie: Die arca musarithmica Athanasius Kirchers (Musikwissenschaft an der Technischen Universität Berlin, Bd. 10). Mensch und Buch Verlag: Berlin 2010. ISBN 978-3866647954.
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Up, and by coach through Ducke Lane, and there did buy Kircher’s Musurgia, cost me 35s., a book I am mighty glad of, expecting to find great satisfaction in it.
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Boni, Erik: L'arca musurgica di Athanasius Kircher alla Biblioteca nazionale centrale di Firenze, from Accademie & biblioteche d'Italia, 15, 2020.
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Photographs of this arca were sent to David Levy for his book "Robots Unlimited". It appears different, in construction, from the Wolfenbuttel arca.
111:(“Euripedaean”, “Anancreonic”, “Archilochan”, “Sapphic” and so on). Some of the rods are used for counterpoint in the "simple style" (or 384: 389: 394: 369: 323: 71: 115:) in which all 4 parts have the same rhythm, and others are used for what Kircher calls the "florid style" (or 161:
There are very few Arcas which date from the Baroque period. The known surviving ones are listed here.
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Samual Pepys described purchasing a copy of Kircher's Musurgia Universalis in his famous diary.
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waste time with prefatory remarks, we shall begin with the construction of the Musarithmic Ark.
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There are different sets of slats which contain musical phrases expressed in a variety of
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and computer compositional techniques of the 20th century (such as the "chance music" of
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There are likely a few other Arcas in existence, but they are not well documented.
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A hymn constructed using the Arca Musarithmica, as produced by software simulation
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The Arca was followed by, and closely related to, another Kircher invention, the
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Birchensha, John: Writings on Music] Field and Wardhaugh, editors, 2010, page 42
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A fourth item of the arca has been found in the National Library of Florence.
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in the mid 17th century. Its purpose was to enable non musicians to compose
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Bumgardner, Jim: Kircher’s Mechanical Composer: A Software Implementation
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Bumgardner, Jim: Kircher’s Mechanical Composer: A Software Implementation
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Levy, David: Robots Unlimited - Life in a virtual Age, A.K. Peters, 2006
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Birchensha, John: Writings on Music] Field and Wardhaugh, editors, 2010
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of Kircher's 'Arca musarithmica' by Andrew A. Cashner, 2023.
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Levy, David, Robots Unlimited, A.K. Peters, 2006, pp. 48-51
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The Arca Musarithmica as depicted in "Musurgia Universalis"
233: 178:Samual Pepys, Diary, Saturday 22, February 1667/68 39:) is an information device that was invented by 171: 86: 75:Front and back of one of Kircher's musical rods 119:), in which the 4 voices move independently. 8: 193:Herzog August Library, WolfenbĂźttel, Germany 165:Pepys Library, Magdalene College, Cambridge 184:been speculated that Pepy's music teacher 352:Kircher, Athanasius: Musurgia Universalis 300:Kircher, Athanasius: Musurgia Universalis 262: 59:), and can be thought of as a kind of 16:17th-century music composition device 7: 358:Schott, Gaspar: Organum Mathematicum 312:Schott, Gaspar: Organum Mathematicum 213:National Library of Florence, Italy 132:, this work utilizes the ideas of 14: 221:Reconstructions and simulations 149:, described by Kircher's pupil 1: 98:(1650), Book VIII, page 185 61:music composition algorithm 411: 117:fifth-species counterpoint 113:first-species counterpoint 67:Description and mechanism 385:17th century in science 234:digital implementation 181: 101: 84: 76: 24: 390:17th century in music 202:Braunschweig, Germany 82: 74: 22: 147:Organum Mathematicum 96:Musurgia Universalis 94:Athanasius Kircher, 395:Musical composition 343:Bumgardner pp. 5-6 227:WolfenbĂźttel Arca. 137:contained inside. 85: 77: 63:in physical form. 45:Athanasius Kircher 25: 290:Bumgardner pp 3-4 29:Arca Musarithmica 402: 344: 341: 335: 332: 326: 321: 315: 309: 303: 297: 291: 288: 282: 276: 270: 267: 179: 157:Surviving models 99: 410: 409: 405: 404: 403: 401: 400: 399: 375: 374: 348: 347: 342: 338: 333: 329: 322: 318: 310: 306: 298: 294: 289: 285: 277: 273: 268: 264: 259: 243: 223: 215: 204: 195: 186:John Birchensha 180: 177: 167: 159: 143: 141:Similar devices 125: 100: 93: 69: 17: 12: 11: 5: 408: 406: 398: 397: 392: 387: 377: 376: 373: 372: 367: 361: 355: 346: 345: 336: 334:Boni, pp. 7-13 327: 316: 304: 292: 283: 271: 261: 260: 258: 255: 254: 253: 250: 247: 242: 239: 238: 237: 229: 228: 222: 219: 214: 211: 203: 200: 194: 191: 175: 166: 163: 158: 155: 142: 139: 130:Marin Mersenne 124: 121: 91: 68: 65: 15: 13: 10: 9: 6: 4: 3: 2: 407: 396: 393: 391: 388: 386: 383: 382: 380: 370: 368: 365: 362: 359: 356: 353: 350: 349: 340: 337: 331: 328: 324: 320: 317: 313: 308: 305: 301: 296: 293: 287: 284: 280: 275: 272: 266: 263: 256: 251: 248: 245: 244: 240: 235: 231: 230: 225: 224: 220: 218: 212: 210: 207: 201: 199: 192: 190: 187: 174: 170: 164: 162: 156: 154: 152: 151:Gaspar Schott 148: 140: 138: 135: 131: 122: 120: 118: 114: 110: 109:poetic meters 105: 97: 90: 81: 73: 66: 64: 62: 58: 54: 50: 46: 42: 38: 34: 33:Arca Musurgia 30: 21: 339: 330: 319: 307: 295: 286: 274: 265: 216: 208: 205: 196: 182: 172: 168: 160: 144: 126: 106: 102: 87: 49:church music 36: 32: 28: 26: 134:Ramon Llull 37:Musical Ark 379:Categories 257:References 241:Literature 57:John Cage 53:aleatoric 176:—  92:—  43:scholar 123:History 360:, 1668 354:, 1650 314:, 1668 302:, 1650 41:Jesuit 31:(also 27:The 35:or 381:: 232:A

Index


Jesuit
Athanasius Kircher
church music
aleatoric
John Cage
music composition algorithm


Musurgia Universalis
poetic meters
first-species counterpoint
fifth-species counterpoint
Marin Mersenne
Ramon Llull
Organum Mathematicum
Gaspar Schott
John Birchensha
digital implementation
Bumgardner, Jim: Kircher’s Mechanical Composer: A Software Implementation
Kircher, Athanasius: Musurgia Universalis
Schott, Gaspar: Organum Mathematicum

Kircher, Athanasius: Musurgia Universalis
Schott, Gaspar: Organum Mathematicum
Bumgardner, Jim: Kircher’s Mechanical Composer: A Software Implementation

Categories
17th century in science
17th century in music

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