1044:
2154:
2441:
1724:
54:
503:'s idea that martyrs and heretic were compelled to self-harm by the stars; Historian of science William Ashworth explains "Miracles, for example, were endangered by the naturalists, because in a world filled with sympathies and occult forcesâwith what Lenoble calls a "spontanĂ©itĂ© indĂ©finie"âanything could happen naturally"
666:, he found the fundamental arrangement of the two-mirror telescope combination, a concave primary mirror associated with a convex secondary mirror, and discovered the telephoto effect that is critical in reflecting telescopes, although he was far from having understood all the implications of that discovery.
936:. The books were allegories, but were obviously written by a small group who were reasonably knowledgeable about the sciences of the day, and their main theme was to promote educational reform (they were anti-Aristotelian). These pamphlets also promoted an occult view of science containing elements of
424:
but concluded that he could "teach nothing in the sciences ... but still he has a good memory and a fertile imagination." Mersenne asked if
Descartes wanted Campanella to come to Holland to meet him, but Descartes declined. He visited Italy fifteen times, in 1640, 1641 and 1645. In 1643â1644 Mersenne
986:
The
Rosicrucian ideas were defended by many prominent men of learning, and some members of the European scholarly community boosted their own prestige by claiming to be among the selected members of the Brotherhood. However, it is now generally agreed among historians that there is no evidence that
561:
is perhaps
Mersenne's most influential work. It is one of the earliest comprehensive works on music theory, touching on a wide range of musical concepts, and especially the mathematical relationships involved in music. The work contains the earliest formulation of what has become known as
245:, had many contacts in the scientific world and has been called "the center of the world of science and mathematics during the first half of the 1600s" and, because of his ability to make connections between people and ideas, "the post-box of Europe". He was also a member of the ascetical
463:
and comprises uneven sections headed by verses from the first three chapters of that book. At first sight the book appears to be a collection of treatises on various miscellaneous topics. However Robert
Lenoble has shown that the principle of unity in the work is a polemic against
733:
It has been argued that
Mersenne used his lack of mathematical specialty, his ties to the print world, his legal acumen, and his friendship with the French mathematician and philosopher RenĂ© Descartes (1596â1650) to manifest his international network of mathematicians.
737:
Mersenne's philosophical works are characterized by wide scholarship and the narrowest theological orthodoxy. His greatest service to philosophy was his enthusiastic defence of
Descartes, whose agent he was in Paris and whom he visited in exile in the
884:
of the first absolute determination of the frequency of an audible tone (at 84 Hz) implies that he had already demonstrated that the absolute-frequency ratio of two vibrating strings, radiating a musical tone and its
1501:"Italian naturalism was considered dangerous to religion because it confused the natural with the supernatural and physics with metaphysics; essentially, it eliminated the boundaries between science and faith."
638:
893:) of two such notes would be explained if the ratio of the air oscillation frequencies is also 1 : 2, which in turn is consistent with the source-air-motion-frequency-equivalence hypothesis.
823:
417:, wrote, "The Académie des Sciences in Paris and the Royal Society in London, which were founded about twenty years after Mersenne's death, were direct descendants of Mersenne's activities."
751:
In later life, he gave up speculative thought and turned to scientific research, especially in mathematics, physics and astronomy. In this connection, his best known work is
680:
of the telescope by using aspherical mirrors and that in the particular case of the afocal arrangement he could do this correction by using two parabolic mirrors, though a
866:
987:
an order of
Rosicrucians existed at the time, with later Rosicrucian Orders drawing on the name, with no relation to the writers of the Rosicrucian Manifestoes.
401:
in 1666. He was not afraid to cause disputes among his learned friends in order to compare their views, notable among which were disputes between
Descartes,
393:(Academia Parisiensis), which had nearly 140 correspondents, including astronomers and philosophers as well as mathematicians, and was the precursor of the
2515:
1739:
1043:
1213:
1010:. Mersenne had been a regular correspondent with Galileo and had extended the work on vibrating strings originally developed by his father,
1818:
2480:
2050:
1744:
719:
2475:
765:. It is regarded as a source of information on 17th-century music, especially French music and musicians, to rival even the works of
658:
In this book, Mersenne also introduced several innovative concepts that can be considered the basis of modern reflecting telescopes:
2500:
1153:
2363:
1904:
590:
535:. Whilst allowing for a mystical interpretation of the Cabala, he wholeheartedly condemned its magical application, particularly
1312:
1086:
688:
Because of criticism that he encountered, especially from
Descartes, Mersenne made no attempt to build a telescope of his own.
1841:
1674:
1520:
1406:
1295:
896:
He also performed extensive experiments to determine the acceleration of falling objects by comparing them with the swing of
2045:
2490:
2485:
2090:
1886:
1356:
1257:
2005:
782:
433:, finding Ruar already a supporter of Gassendi's position. Among his correspondents were Descartes, Galileo, Roberval,
2520:
2495:
1701:
1647:
1547:
1322:
1265:
699:, named for Mersenne primes, is frequently used in computer engineering and in related fields such as cryptography.
2525:
2510:
1148:
744:
325:
932:, claimed to be manifestos of a highly select, secret society of alchemists and sages called the Brotherhood of
2505:
1577:
722:. But perhaps his most important contribution to the advance of learning was his extensive correspondence (in
570:
Inversely proportional to the length of the string (this was known to the ancients; it is usually credited to
282:
1937:
1314:
The
Vitality Imperative: How Connected Leaders and Their Teams Achieve More with Less Time, Money, and Stress
908:, that is a pendulum whose swing takes one second, and the first to observe that a pendulum's swings are not
333:
952:. In effect, they sought to establish a new form of scientific religion with some pre-Christian elements.
2530:
1132:
1187:
For a summary description of all members of the Academia Parisiensis from its creation until 1648, see
351:
For four years, Mersenne devoted himself entirely to philosophic and theological writing, and published
2202:
1825:
Grosslight, Justin (2013). "Small Skills, Big Networks: Marin Mersenne as Mathematical Intelligencer".
1593:
Grosslight, Justin (2013). "Small Skills, Big Networks: Marin Mersenne as Mathematical Intelligencer".
348:. He was a staunch defender of Galileo, assisting him in translations of some of his mechanical works.
192:
whose works touched a wide variety of fields. He is perhaps best known today among mathematicians for
2323:
955:
Mersenne led the fight against acceptance of these ideas, particularly those of Rosicrucian promoter
890:
1944:
1339:
1228:
2378:
1950:
1909:
1484:
1436:"Reading Cardano with the Roman Inquisition: Astrology, Celestial Physics, and the Force of Heresy"
877:
165:
44:
17:
1899:
1111:
394:
2258:
2115:
2083:
1032:
928:
492:
313:
286:
246:
842:
2197:
2107:
2040:
1998:
1872:
1435:
1287:
1280:
1158:
730:
had not yet come into being, Mersenne was the centre of a network for exchange of information.
1637:
2338:
2236:
2140:
1924:
1567:
398:
1537:
2470:
2465:
2025:
1602:
1127:
753:
677:
673:
telescope and the beam compressor that is useful in many multiple-mirror telescope designs.
540:
304:
in 1620. There he studied mathematics and music and met with other kindred spirits such as
233:
120:
8:
2358:
2268:
1918:
1895:
711:
337:
1932:
1606:
566:, which describe the frequency of oscillation of a stretched string. This frequency is:
2444:
2290:
2280:
2241:
2076:
2030:
1618:
1466:
991:
922:
762:
727:
663:
563:
496:
473:
465:
421:
410:
317:
265:
Mersenne was born of Jeanne MouliĂšre, wife of Julien Mersenne, peasants who lived near
216:
124:
2153:
2414:
2246:
1991:
1837:
1779:
1753:
1697:
1670:
1643:
1622:
1573:
1543:
1516:
1470:
1402:
1318:
1291:
1261:
1143:
1027:
833:
548:
544:
406:
78:
1503:
Ashworth, William B. (31 December 1986). "5. Catholicism and Early Modern Science".
309:
305:
2424:
2343:
2307:
2275:
2226:
2135:
2057:
1769:
1610:
1563:
1508:
1458:
1450:
1368:
1163:
1011:
976:
945:
905:
873:
696:
500:
491:
that all things happened naturally and determined astrologically; for example, the
402:
383:
270:
1774:
2419:
2373:
2214:
2172:
1973:
1691:
1664:
1539:
Reflecting Telescope Optics I: Basic Design Theory and its Historical Development
1082:
1007:
980:
975:(1629), another critique of Mersenne, is a Rosicrucian-themed text. The cabalist
960:
726:) with mathematicians and other scientists in many countries. At a time when the
515:
460:
430:
341:
290:
242:
184:
116:
1954:
1757:
2368:
2300:
2035:
1881:
1799:
1614:
1002:) and taught that true physics could be only a descriptive science of motions (
933:
773:
692:
507:
438:
345:
193:
1512:
219:, which describe the harmonics of a vibrating string (such as may be found on
2459:
2333:
2295:
2263:
2218:
2180:
2130:
2125:
1783:
1735:
1730:
999:
766:
742:. He submitted to various eminent Parisian thinkers a manuscript copy of the
670:
532:
434:
329:
321:
1862:
990:
During the mid-1630s Mersenne gave up the search for physical causes in the
2328:
1693:
Electricity in the 17th and 18th Centuries: A Study of Early Modern Physics
1462:
1089:(Paris, 1636). Translation to English by Roger E. Chapman (The Hague, 1957)
956:
941:
869:
758:
703:
552:
518:
for claiming power for images and characters. He condemns astral magic and
445:
301:
228:
36:
1372:
2348:
2160:
1023:
968:
949:
912:
as Galileo thought, but that large swings take longer than small swings.
909:
739:
681:
529:
524:
488:
426:
145:
2409:
2399:
2185:
937:
715:
571:
536:
499:("God acts on sublunary beings (humans) using the sky as a tool"), and
469:
254:
580:
Inversely proportional to the square root of the mass per unit length.
2190:
2120:
2099:
1917:
1876:
1311:
Connolly, Mickey; Motroni, Jim; McDonald, Richard (25 October 2016).
691:
Mersenne is also remembered today thanks to his association with the
519:
481:
238:
128:
702:
However, Mersenne was not primarily a mathematician; he wrote about
2285:
2253:
1454:
897:
836:
250:
189:
1729:
This article incorporates text from a publication now in the
2231:
1983:
1569:
Mirror Mirror: A History of the Human Love Affair with Reflection
1138:
477:
278:
207:
149:
53:
748:, and defended its orthodoxy against numerous clerical critics.
266:
74:
920:
Two German pamphlets that circulated around Europe in 1614â15,
886:
707:
379:
297:
274:
220:
2404:
1967:
1758:"Scholars and Literati at the "Mersenne" Academy (1635â1648)"
829:
723:
366:
224:
96:
2068:
915:
577:
Proportional to the square root of the stretching force, and
444:
He died on 1 September 1648 of complications arising from a
296:
Between 1614 and 1618, he taught theology and philosophy at
2394:
1977:
1951:
Scholars and Literati at the "Mersenne" Academy (1635â1800)
876:'s 18/17 (1.05 cents flat), and could be constructed using
633:{\displaystyle f={\frac {1}{2L}}{\sqrt {\frac {F}{\mu }}},}
1816:
Gehring, F. (1922) âMersennus, Marin (le PĂšre Mersenne)â.
487:
Mersenne was concerned with the teachings of some Italian
378:, 1624). It is sometimes incorrectly stated that he was a
386:. He taught theology and philosophy at Nevers and Paris.
300:, but he returned to Paris and settled at the convent of
1834:
Marin Mersenne et la naissance de l'esprit scientifique
1310:
904:
in 1644. He was the first to measure the length of the
1379:
967:(1626), wherein he discusses his involvement with the
382:. He was educated by Jesuits, but he never joined the
1361:
Revue de l'Histoire des Sciences et Leur Applications
845:
785:
593:
1254:
Calculus Gems: Brief Lives and Memorable Mathematics
188:; 8 September 1588 â 1 September 1648) was a French
1752:
1592:
1279:
1188:
860:
817:
655:is the force and Ό is the mass per unit length .
632:
1893:
818:{\displaystyle {\sqrt{\frac {2}{3-{\sqrt {2}}}}}}
2457:
1669:. Dover Books on Chemistry. Dover Publications.
237:, for which he is referred to as the "father of
1976:TV documentary made in 1986 and transmitted on
344:, and other scholars in Italy, England and the
1282:Against the Gods: The Remarkable Story of Risk
415:Against the Gods: The Remarkable Story of Risk
2084:
1999:
1656:
1338:Hauréau, Barthélemy (1852). A. Lanier (ed.).
1214:"Environmental Effects on the Speed of Sound"
889:, is 1 : 2. The perceived harmony (
676:He recognized also that he could correct the
1748:(11th ed.). Cambridge University Press.
1714:
1969:Marin MersenneâThe Birth of Modern Geometry
1562:
1113:Tractatus mechanicus theoricus et practicus
1068:Questions inouies ou récréation des savants
1048:Tractatus mechanicus theoricus et practicus
425:also corresponded with the German Socinian
357:Celebrated Questions on the Book of Genesis
2516:17th-century French Roman Catholic priests
2091:
2077:
2006:
1992:
1955:Repertorium Eruditorum Totius Europae/RETE
1915:
1768:. Universite Catholique de Louvain: 7â12.
959:, who had a lifelong battle of words with
376:Truth of the Sciences Against the Sceptics
249:religious order and wrote and lectured on
52:
1819:Grove's Dictionary of Music and Musicians
1773:
1385:
1277:
1116:(in Latin). Paris: Antoine Bertier. 1644.
916:Battles with occult and mystical thinkers
293:in Paris, was ordained a priest in 1613.
1811:Mersenne and the Learning of the Schools
1734:
1689:
1502:
1354:
1271:
1221:Journal of the Audio Engineering Society
1154:List of Roman Catholic scientist-clerics
1042:
584:The formula for the lowest frequency is
1905:MacTutor History of Mathematics Archive
1836:. Editions Anagrammes, Perros Guirec. (
1418:
1337:
706:and other subjects. He edited works of
14:
2458:
1535:
1433:
1344:(in French). Vol. 1. p. 321.
2072:
1987:
1762:Repertorium Eruditorum Totius Europae
1662:
1642:. Taylor & Francis. p. 100.
1635:
1421:Mersenne ou la naissance du mécanisme
1181:
880:. Mersenne's description in the 1636
183:
2046:Great Internet Mersenne Prime Search
1928:. New York: Robert Appleton Company.
1873:The Correspondence of Marin Mersenne
1211:
1174:
1887:Stanford Encyclopedia of Philosophy
1026:attributed to Mersenne was used by
998:, which were still favoured by the
459:was written as a commentary on the
457:Quaestiones celeberrimae in Genesim
429:concerning the Copernican ideas of
353:Quaestiones celeberrimae in Genesim
196:numbers, those written in the form
24:
2481:17th-century French mathematicians
2013:
1792:
1696:. University of California Press.
1006:), which was the direction set by
25:
2542:
1916:Herbermann, Charles, ed. (1913).
1856:
1813:Ithaca: Cornell University Press.
1286:. John Wiley & Sons. p.
1074:Questions théologiques, physiques
772:One of his many contributions to
289:and, after studying theology and
285:. On 17 July 1611, he joined the
2476:17th-century French male writers
2440:
2439:
2152:
1884:entry by Philippe Hamou in the
1722:
1252:Simmons, George F. (1992/2007).
1093:Nouvelles découvertes de Galilée
1038:
2501:French male non-fiction writers
1683:
1629:
1586:
1572:. Basic Books. pp. 88â89.
1556:
1529:
1495:
1477:
1427:
1412:
745:Meditations on First Philosophy
389:In 1635 he set up the informal
326:Nicolas-Claude Fabri de Peiresc
1391:
1348:
1331:
1304:
1246:
1205:
1189:De la Croix & DuchĂȘne 2021
1135:/Catalan's Mersenne conjecture
868:). It was more accurate (0.44
277:, France). He was educated at
13:
1:
2098:
1945:Minimospedia "Marin Mersenne"
1938:Mathematics Genealogy Project
1169:
1105:Universae geometriae synopsis
994:sense (rejecting the idea of
776:theory was the suggestion of
1822:(ed. J. A. Fuller Maitland).
1341:Histoire littéraire du Maine
1278:Bernstein, Peter L. (1996).
1227:(4): 223â231. Archived from
1198:
1149:Euler's factorization method
1099:Cogitata physico-mathematica
902:Cogitata Physico-Mathematica
528:, a concept popular amongst
334:Jacques Alexandre Le Tenneur
7:
1947:especially for bibliography
1809:Dear, Peter Robert (1988).
1775:10.14428/rete.v2i0/mersenne
1639:Metaphysics and Measurement
1121:
979:joined Fludd's side, while
283:Jesuit College of La FlĂšche
227:), and his seminal work on
27:French polymath (1588â1648)
10:
2547:
2491:Catholic clergy scientists
2486:17th-century French people
1615:10.1177/007327531305100304
1401:(in French). Paris: Vrin.
1397:Murr, Sylvia, ed. (1997).
1056:Euclidis elementorum libri
861:{\displaystyle {\sqrt{2}}}
757:of 1636, dealing with the
420:In 1635 Mersenne met with
2435:
2387:
2316:
2213:
2171:
2147:
2106:
2021:
1756:; DuchĂȘne, Julie (2021).
1715:General and cited sources
1636:Koyre, Alexander (1992).
1513:10.1525/9780520908031-007
1434:Regier, Jonathan (2019).
1355:Sergescu, Pierre (1948).
1062:Les Mécaniques de Galilée
965:Sophia cum moria certamen
512:Investigations into Magic
241:". Mersenne, an ordained
155:
141:
134:
112:
104:
85:
60:
51:
34:
2521:Minims (religious order)
2496:Deaths from lung abscess
1910:University of St Andrews
1690:Heilbron, J. L. (1979).
1419:Lenoble, Robert (1943).
1212:Bohn, Dennis A. (1988).
1017:
878:straightedge and compass
2526:French number theorists
2116:Architectural acoustics
1745:EncyclopĂŠdia Britannica
1666:The Chemical Philosophy
1542:, Springer, p. 4,
1485:"William B Ashworth Jr"
1133:CatalanâMersenne number
1033:Ancient Airs and Dances
1030:in his second suite of
1000:scholastic philosophers
963:. Fludd responded with
929:Confessio Fraternitatis
493:nomological determinism
451:
328:. He corresponded with
260:
2511:French music theorists
2203:FletcherâMunson curves
2198:Equal-loudness contour
2108:Acoustical engineering
2041:Double Mersenne number
1919:"Marin Mersenne"
1832:Moreau, Roger (2012).
1357:"Mersenne l'Animateur"
1159:Renaissance skepticism
1051:
938:Paracelsian philosophy
862:
819:
669:Mersenne invented the
634:
441:and other scientists.
372:La Vérité des sciences
2506:French mathematicians
2339:Hermann von Helmholtz
2237:Fundamental frequency
2141:Sympathetic resonance
1925:Catholic Encyclopedia
1536:Wilson, Todd (2007),
1373:10.3406/rhs.1948.2726
1046:
863:
820:
635:
539:. He also criticises
399:Jean-Baptiste Colbert
395:Académie des sciences
361:L'Impieté des déistes
215:. He also developed
185:[maÊÉÌmÉÊsÉn]
121:Mersenne's conjecture
2026:Mersenne conjectures
1896:Robertson, Edmund F.
1867:Harmonie Universelle
1663:Debus, A.G. (2013).
1399:Gassendi et l'Europe
1128:Cassegrain reflector
1083:First edition online
1080:Harmonie universelle
1058:, etc. (Paris, 1626)
882:Harmonie universelle
843:
783:
754:Harmonie universelle
720:Greek mathematicians
678:spherical aberration
591:
559:Harmonie universelle
541:Pico della Mirandola
234:Harmonie universelle
2359:Werner Meyer-Eppler
2269:Missing fundamental
1894:O'Connor, John J.;
1607:2013HisSc..51..337G
983:defended Mersenne.
763:musical instruments
647:is the frequency ,
555:, his main target.
391:Académie Parisienne
365:The Impiety of the
338:Constantijn Huygens
99:, Kingdom of France
2531:People from Sarthe
2242:Frequency spectrum
1827:History of Science
1754:De la Croix, David
1595:History of Science
1489:scholar.google.com
1052:
923:Fama fraternitatis
900:, reported in his
858:
815:
728:scientific journal
664:Laurent Cassegrain
662:Much earlier than
630:
506:Mersenne mentions
422:Tommaso Campanella
411:Peter L. Bernstein
318:Gilles de Roberval
2453:
2452:
2415:Musical acoustics
2247:harmonic spectrum
2066:
2065:
1849:Ăloge de Mersenne
1847:Poté, J. (1816).
1842:978-2-84719-089-2
1676:978-0-486-15021-5
1564:Pendergrast, Mark
1522:978-0-520-90803-1
1407:978-2-7116-1306-9
1297:978-0-471-12104-6
1175:Explanatory notes
1144:Equal temperament
1028:Ottorino Respighi
856:
813:
807:
804:
625:
624:
613:
549:Francesco Giorgio
545:Cornelius Agrippa
407:Jean de Beaugrand
170:Marinus Mersennus
159:
158:
136:Scientific career
108:Marinus Mersennus
79:Kingdom of France
16:(Redirected from
2538:
2443:
2442:
2344:Carleen Hutchins
2276:Combination tone
2163:
2156:
2136:String vibration
2093:
2086:
2079:
2070:
2069:
2058:Mersenne Twister
2008:
2001:
1994:
1985:
1984:
1933:"Marin Mersenne"
1929:
1921:
1912:
1900:"Marin Mersenne"
1882:"Marin Mersenne"
1804:Vie de Descartes
1787:
1777:
1749:
1728:
1726:
1725:
1708:
1707:
1687:
1681:
1680:
1660:
1654:
1653:
1633:
1627:
1626:
1590:
1584:
1583:
1560:
1554:
1552:
1533:
1527:
1526:
1499:
1493:
1492:
1481:
1475:
1474:
1440:
1431:
1425:
1424:
1416:
1410:
1395:
1389:
1383:
1377:
1376:
1352:
1346:
1345:
1335:
1329:
1328:
1308:
1302:
1301:
1285:
1275:
1269:
1250:
1244:
1243:
1241:
1239:
1234:on 1 August 2014
1233:
1218:
1209:
1192:
1191:, pp. 7â12
1185:
1164:Seconds pendulum
1117:
1012:Vincenzo Galilei
977:Jacques Gaffarel
971:. The anonymous
946:Christian Cabala
906:seconds pendulum
874:Vincenzo Galilei
867:
865:
864:
859:
857:
855:
847:
834:equally-tempered
824:
822:
821:
816:
814:
812:
806:
805:
800:
788:
787:
697:Mersenne Twister
651:is the length ,
639:
637:
636:
631:
626:
617:
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614:
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601:
501:Gerolamo Cardano
403:Pierre de Fermat
384:Society of Jesus
214:
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105:Other names
92:
89:1 September 1648
71:8 September 1588
70:
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56:
32:
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21:
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2374:D. Van Holliday
2312:
2281:Mersenne's laws
2215:Audio frequency
2209:
2173:Psychoacoustics
2167:
2166:
2159:
2145:
2102:
2097:
2067:
2062:
2031:Mersenne's laws
2017:
2012:
1974:Open University
1890:, June 13, 2022
1859:
1854:
1800:Baillet, Adrien
1795:
1793:Further reading
1790:
1740:Mersenne, Marin
1738:, ed. (1911). "
1723:
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1463:1854/LU-8608904
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1124:
1110:
1041:
1020:
1008:Galileo Galilei
981:Pierre Gassendi
961:Johannes Kepler
918:
851:
846:
844:
841:
840:
808:
799:
792:
786:
784:
781:
780:
759:theory of music
693:Mersenne primes
615:
605:
600:
592:
589:
588:
564:Mersenne's laws
516:Marsilio Ficino
514:and criticises
461:Book of Genesis
454:
431:Pierre Gassendi
397:established by
342:Galileo Galilei
271:County of Maine
263:
243:Catholic priest
217:Mersenne's laws
210:
202:
197:
180:
168:(also known as
127:
125:Mersenne's laws
123:
119:
117:Mersenne primes
100:
94:
90:
81:
72:
66:
64:
47:
42:
39:
28:
23:
22:
15:
12:
11:
5:
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2388:Related topics
2385:
2384:
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2369:Joseph Sauveur
2366:
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2354:Marin Mersenne
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2054:
2053:
2048:
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2036:Mersenne prime
2033:
2028:
2022:
2019:
2018:
2015:Marin Mersenne
2011:
2010:
2003:
1996:
1988:
1982:
1981:
1964:
1963:
1959:
1958:
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1930:
1913:
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1857:External links
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1601:(3): 337â374.
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1505:God and Nature
1494:
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1455:10.1086/706783
1449:(4): 661â679.
1426:
1423:. Paris: Vrin.
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508:Martin Del Rio
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484:philosophies.
453:
450:
413:, in his book
346:Dutch Republic
310:Ătienne Pascal
306:René Descartes
262:
259:
200:
194:Mersenne prime
162:Marin Mersenne
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113:Known for
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102:
101:
95:
93:(aged 59)
87:
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73:
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40:
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2264:Inharmonicity
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2126:Reverberation
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1703:9780520034785
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1388:, p. 59.
1387:
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1370:
1367:(2â1): 5â12.
1366:
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1324:9781937832926
1320:
1317:. RDA Press.
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1076:, etc. (1634)
1075:
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1066:
1064:(Paris, 1634)
1063:
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1049:
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1039:List of works
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984:
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942:neo-Platonism
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767:Pietro Cerone
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327:
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303:
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294:
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284:
280:
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273:(present-day
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38:
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30:
19:
2379:Thomas Young
2353:
2329:Jens Blauert
2317:Acousticians
2014:
1968:
1936:
1923:
1903:
1885:
1866:
1865:Traité de l'
1848:
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1826:
1817:
1810:
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1364:
1360:
1350:
1340:
1333:
1313:
1306:
1281:
1273:
1253:
1248:
1236:. Retrieved
1229:the original
1224:
1220:
1207:
1183:
1112:
1104:
1098:
1092:
1079:
1073:
1067:
1061:
1055:
1047:
1031:
1021:
1003:
995:
992:Aristotelian
989:
985:
973:Summum bonum
972:
969:Rosicrucians
964:
957:Robert Fludd
954:
934:Rosicrucians
927:
921:
919:
901:
895:
881:
872:sharp) than
827:
771:
752:
750:
743:
736:
732:
718:, and other
704:music theory
701:
690:
687:
684:is required.
657:
652:
648:
644:
642:
583:
558:
557:
553:Robert Fludd
523:
511:
505:
486:
456:
455:
446:lung abscess
443:
419:
414:
390:
388:
375:
371:
364:
360:
356:
352:
350:
314:Pierre Petit
302:L'Annonciade
295:
287:Minim Friars
264:
232:
229:music theory
211:
198:
174:
173:
169:
161:
160:
135:
91:(1648-09-01)
37:The Reverend
29:
2471:1648 deaths
2466:1588 births
2349:Franz Melde
2324:John Backus
2308:Subharmonic
2161:Spectrogram
1829:51:337â374.
1507:: 136â166.
950:Hermeticism
910:isochronous
740:Netherlands
682:hyperboloid
530:Renaissance
525:anima mundi
489:naturalists
482:pantheistic
427:Marcin Ruar
281:and at the
146:Mathematics
2460:Categories
2410:Ultrasound
2400:Infrasound
2186:Bark scale
1851:. Le Mans.
1579:0786729902
1170:References
891:consonance
716:Archimedes
712:Apollonius
572:Pythagoras
537:angelology
470:divinatory
370:) (1624);
359:) (1623);
255:philosophy
67:1588-09-08
2291:Resonance
2191:Mel scale
2121:Monochord
2100:Acoustics
1784:2736-4119
1623:143320489
1471:201272821
1256:, p. 94.
1199:Citations
1004:MĂ©canisme
898:pendulums
797:−
622:μ
520:astrology
478:animistic
239:acoustics
206:for some
129:Acoustics
2445:Category
2286:Overtone
2254:Harmonic
1802:(1691).
1566:(2003).
1122:See also
996:essences
837:semitone
522:and the
474:cabalism
439:Beeckman
251:theology
190:polymath
177:Mersenne
18:Mersenne
2232:Formant
1733::
1603:Bibcode
1238:23 June
1139:Cycloid
1087:Gallica
832:for an
828:as the
466:magical
279:Le Mans
221:guitars
208:integer
204:= 2 â 1
181:French:
175:le PĂšre
150:physics
2425:Violin
2259:Series
1840:
1782:
1727:
1700:
1673:
1646:
1621:
1576:
1546:
1519:
1469:
1405:
1321:
1294:
1264:
1107:(1644)
1101:(1644)
1095:(1639)
1070:(1634)
1050:, 1644
887:octave
708:Euclid
695:. The
671:afocal
643:where
476:, and
472:arts,
435:Pascal
405:, and
380:Jesuit
367:Deists
324:, and
298:Nevers
291:Hebrew
275:Sarthe
225:pianos
142:Fields
2420:Piano
2405:Sound
2219:pitch
2181:Pitch
1953:, in
1863:IMSLP
1619:S2CID
1467:S2CID
1439:(PDF)
1232:(PDF)
1217:(PDF)
1085:from
1018:Music
870:cents
830:ratio
724:Latin
247:Minim
97:Paris
2395:Echo
2301:Node
2227:Beat
2217:and
2051:List
1978:BBC2
1972:(UK
1877:EMLO
1838:ISBN
1780:ISSN
1698:ISBN
1671:ISBN
1644:ISBN
1574:ISBN
1544:ISBN
1517:ISBN
1443:Isis
1403:ISBN
1319:ISBN
1292:ISBN
1262:ISBN
1240:2014
948:and
926:and
761:and
551:and
480:and
468:and
452:Work
267:Oizé
261:Life
253:and
223:and
86:Died
75:Oizé
61:Born
1875:in
1770:doi
1742:".
1611:doi
1509:doi
1459:hdl
1451:doi
1447:110
1369:doi
1258:MAA
1024:air
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510:'s
495:of
172:or
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1908:,
1902:,
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1778:.
1764:.
1760:.
1617:.
1609:.
1599:51
1597:.
1515:.
1487:.
1465:.
1457:.
1445:.
1441:.
1363:.
1359:.
1290:.
1288:59
1260:.
1225:36
1223:.
1219:.
1014:.
944:,
940:,
853:12
769:.
714:,
710:,
547:,
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437:,
409:.
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332:,
320:,
316:,
312:,
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269:,
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231:,
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166:OM
164:,
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