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There is exactly one note that is a diminished 3rd above Db: Fb. Db to Eb is not a diminished third, it is a major second. Those comments are wrong. This question explains the difference between two enharmonically equivalent notes.

An article by Joe Monzo at http://tonalsoft.com/enc/s/savart.aspx defines the savart as 1/300 of an octave. A savart is calculated as the 300th root of 2, or 2(1/300), with a ratio of approximately 1:1.002313162. It is an irrational number. A savart has an interval size of approximately 4 cents. savart = 1000log10(f2/f1) cents = 1200log2(f2/f1)

As a brassplayer, 442 on up seriously sucks. We are placed in the position of playing where the instrument doesn't resonate in the same way. Even 4 cents difference will render the slides too long even if the open instrument can be accomodated to a higher tuning frequency. Fie on brighter tuning!

Cents, as the name implies, are 1/100th of a semitone (or "chromatic interval"), when working in 12-tone equal temperment (12-TET). So, as long as your definition of "savar" is in relation to a "chromatic interval" that is defined as a 12th of an octave, then you should be able to convert back and forth by simply defining 1 savar = 2 cents. However, if the ...

Midi actually has a 20-year old ratified specification extension just for this. Any synth that supports that extensions should support those temperaments (although you might need an approriate midi interface too). The wikipedia page for the extension page lists a numer of soft-synths that support the extension.