1

I've often came across tables just chromatic scales like so:

C: 1:1 C#: 16:15 D: 9:8

And so forth. I know that at least in Ben Johnston notation, the sharp sign implies that a note's frequency is being multiplied by 25:24, and that is clearly not what I'm looking for here. I'm trying to write a note that is somewhat analogous to C# in equal temperament.

Any help would be much appreciated.

3

The note you are looking for is Dflat-minus.

D is 9:8. Dflat is D times 24:25 = 216:200 = 27:25. Dflat-minus is Dflat times 80:81 = 2160:2025 = 16:15

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0

A "just" seventh is 15/8 so your 16/15 is equivalent octave-equivalent to the just semitone between B and C. Or using E to F, the solution of EX=F with both moved to C gives 5/4X=4/3 which has 15/16 as a solution. I didn't see any special notation in various articles on the subject.

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