Editing 1739 in science (section)

==Mathematics==
* [[Leonhard Euler]] solves the general homogeneous linear ordinary differential equation with constant coefficients.
* Euler invents the [[tonnetz]] (German for "tone-network"), a conceptual [[lattice (group)|lattice]] [[diagram]] that shows a two-dimensional tonal [[pitch space]] created by the network of relationships between [[musical pitch]]es in [[just intonation]].<ref>{{cite book|first=Leonhard|last=Euler|title=Tentamen novae theoriae musicae|url=https://archive.org/details/bub_gb_aekmN1V98GcC}}</ref><ref>{{cite journal|url=http://www.wilsoncenter.org/index.cfm?fuseaction=wq.essay&essay_id=231266|title=Euler's Constancy|last=Derbyshire|first=John|authorlink=John Derbyshire|journal=[[The Wilson Quarterly]]|date=Spring 2007|access-date=2008-01-03|archive-url=https://web.archive.org/web/20071011021152/http://www.wilsoncenter.org/index.cfm?fuseaction=wq.essay&essay_id=231266|archive-date=2007-10-11|url-status=dead}}</ref>