Kopie von: harmonic metrics

---------- Weitergeleitete Nachricht ----------

Von: Daniel Wolf, 106232.3266
An: INTERNET:tuning@eartha.mills.edu, INTERNET:tuning@eartha.mills.ed=
u
Datum: 15.07.97 11:31

Betreff:Kopie von: harmonic metrics

Thanks to Carter Scholz for an excellent, focused posting. I agree
wholeheartedly that the greater the variety of metrics (among many other
tools), the more useful they will be for a greater variety of composers
with different sensibilities, be they innate, or cultivated.

Carter wrote:

<2) Non-integers/approximations. Small-number-ratio metrics fail with

<"tolerance range" in his harmonic distance metric.)

Closely related to this - and to the question of making the graphs octave=

equivalent or not - is the inclusion of raw interval size, independent of=

its factorization. Since my own orientation as a musician includes a stro=
ng
vocal sensibility, there is a real sense that the larger the interval, th=
e
greater the effort to produce it, thus sometimes reducing or neutralizing=

the effect of harmonic distance when derived from factoring alone. =


I can well imagine harmonic situations where 5/3 and 15/8 represents
equivalent levels of harmonic distance from a given tonic, both
horizontally and vertically, but singing these intervals melodically will=
,
in most cases, override the equivalence. =



$AdditionalHeaders: Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id C12564DA.00071180; Sun, 20 Jul 1997 03:17:12 +0200