Hi Jim and others. I cant help launching a little finger in the air about the insistance of useing only "cents deviations" in describing temperaments. Ear tuners dont really use cents actively very much at all. Most ear tuners probably think of cents only when relating to starting pitch, and from then on its beats per second. Thats what we deal in, and as such our awareness of cents doesnt permit us to auralize (visa vi visualize) what these figures below really imply. Is it (and I am asking out of genuine curiousity) so difficult to also relate these temperaments in terms of beats per second for various intervals ?? "Jim Coleman, Sr." wrote: > Hi Jim: > > Here are the deviation numbers for the Coleman 16 well temperament: > > C C# D D# E F F# G G# A A# B > 6 0 2 2 -2 6 -2 4 1 0 4 -2 > > This will provide the following interval widths: > > sharps 5ths 4ths 3rds Flats 5ths 4ths 3rds > C -4 2 6 F -2 0 8 > G -4 4 8 Bb 0 0 12 > D -4 4 10 Eb 0 1 16 > A -4 4 14 Ab -1 1 19 > E -2 4 17 Db -1 0 20 > B -2 2 18 Gb 0 2 20 > > The normal widths in equal temperament are as follows: > 5ths -2 cents from pure (actually -1.95) > 4ths 2 " " " > M3rds 14 " " " (actually 13.7 varies with inharmonicity) > Richard Brekne RPT, N.P.T.F. Bergen, Norway
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