back to list

Harmonic 17 Tuning

🔗Afmmjr@aol.com

12/25/2000 4:57:17 AM

Happy Holidays All!

I had been asked to list my scale for Harmonic 17 Tuning which I used for my
quartet "Trespass" for soprano, violin, viola, and cello (performed in
Amsterdam 3 years ago).

It's a beautiful, alluring tuning with little connection to the whole or
semi-tone ordinarily associated with it in its combination of exoticism and
normality in chordal function. This tuning, like the Harmonic 13 Tuning
which requires all ratios to include a 13 in its ratio or its multiple, is
different from the just intonation limit typically used to define tunings.
There is a different qualitative result as well for the basic 5-limit
intervals are avoided, changing its effect.

1/1 = 0 cents
18/17 = 99 cents
17/16 = 105
34/31 = 160
19/17 = 193
17/15 = 217
20/17 = 281
17/14 = 336
22/17 = 446
17/13 = 464
24/17 = 597
26/17 = 736
17/11 = 754
28/17 = 864
34/20 = 919
30/17 = 983
32/17 = 1095
17/9 = 1101

(hope the cents numbers are right as I am far removed from this but remember
promising the list to put these up as soon as they were located.)

Johnny Reinhard