Hello, Ric and Robert, I just worked out a quick and dirty little spreadsheet I think that will generate cents figures from Jorgensen's aural instructions in "Tuning". It runs off Excel 7.0a, and I've only tested it for Ch.38: Tuning WT using Falkener's rules (the page to which the tome opened). An outline follows below, also which I'd include with the file if I can upload it (it's up now at Michel's xdrive account). I don't have Visual Basic, but this could be scripted for sequential data input, and set to generate a bare text file for ETD's. So instead this is manual. Also it could be set to graph fifth and third sizes, harmonic complexity of keys, etc. So does anyone have any ideas of reversing this process? Starting from raw pitch data to generate an elegant aural sequence, with checks, etc. - I can do this graphically, but can't get Excel to keep track automatically. Oh well. Regards, Clark ______________________________________________________________________________ The premise is that un-adjusted beat rates can be used to calculate frequencies using the following formula: f(2)=(n*f(1)+br)/d where f(2)=freq. of the note being tuned f(1)=freq. of the reference note n=numerator of the corresponding Just interval d=denominator of the corresponding Just interval br=signed beat rate, denoting sharp or flat of just Cents values are simply c=log(f/ref)*1200/log(2) f=freq. of note ref=chosen reference pitch, for instance 440hz Their signed offsets from 12tET are off=c-round(c/100)*100 where the [round] operator simplifies the note's cents value to the nearest 100 cents.
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