d-fashioned"byhiscontemporaries.posersintheWesterntradition.Bach'sseal,usedthroughouthisLeipzigyears.BACHFAMILYTheBachfamilywasofimportanceinthehistoryofmusicfornearlytwohundredyears,posers,thebest-knownofwhomwasJohannSebastianBach(1685–1750).pletedbyhissonCarlPhilippEmanuel.--------ThegreatmusicfamilyThefamilytreeTheBachfamilyneverleftThuringiauntilthesonsofSebastianwentintoamoremodernworld.JohannSebastianBachandhissonsCarlPhilippEmanuel,JohannChristian,WilhelmFriedemann,andJohannChristophFriedrichJ.SBachandhissonsBach’smusicandmathThereisanaturalconnectionbetweenmathematicsandmusic.J.S.BACHcanprovethis.Bach’smusichasmathematicalundertones.anfugues.Counterpointisawesternmusicaltraditionwithmultipleconcurrentmelody.ManyofthemostbeautifulexamplesofcanoncanbefoundinthemusicofJ.S.BachThankyou
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