>If planck constant states that energy states can exist only in >discrete steps does this apply to Frequency generated by a >single physical system. In other words is a glissando not a >glissando but minute little steps whole number multiples of a >vibration detated by Planck Constant.
What an interesting question. If we figure this out, do we have quantum music? Would that be JI or ET or ?? :)
I don't think quantum mechanics is normally applied to sound, but I suppose it could be. It seems the practical answer to this question is that Planck's constant is so small (6.626 x 10 to the minus 34) that it's effect on a glissando wouldn't be discernable to the average listener.
>If so, what is the octive equivalent of this fundamental?!
The Handbook of Chemistry and Physics give the units of Planck's constant as J Hz -1. I suppose this might translate to a wavelength in some physics phantasy. The reciprocal of Planck's constant gives a frequency of 1.51 times 10 to the 33--a little higher than most people can hear.
Received: from ns.ezh.nl ([137.174.112.59]) by notesrv2.ezh.nl (Lotus SMTP MTA SMTP v4.6 (462.2 9-3-1997)) with SMTP id C125657C.005E6B6F; Mon, 29 Dec 1997 18:13:15 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA27291; Mon, 29 Dec 1997 18:13:45 +0100 Date: Mon, 29 Dec 1997 18:13:45 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA26722 Received: (qmail 23855 invoked from network); 29 Dec 1997 09:13:41 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 29 Dec 1997 09:13:41 -0800 Message-Id: <199712291710.JAA12350@sunatg3> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu
Are the listers aware that Max Planck wrote a lengthy monograph on just intonation and singing? A friend of mine made an English translation.
Significant differences are heard in the glissandi in my bassoon solo Dune between digital and analog recording. On the new CD (any month now - called _Raven_) the glissandi take on an "other"-instrumental quality to my ears.
Johnny Reinhard Director American Festival of Microtonal Music 318 East 70th Street, Suite 5FW New York, New York 10021 USA (212)517-3550/fax (212) 517-5495 reinhard@idt.net http://www.echonyc.com/~jhhl/AFMM
Received: from ns.ezh.nl ([137.174.112.59]) by notesrv2.ezh.nl (Lotus SMTP MTA SMTP v4.6 (462.2 9-3-1997)) with SMTP id C125657C.00606FAC; Mon, 29 Dec 1997 18:35:16 +0100 Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA27274; Mon, 29 Dec 1997 18:35:47 +0100 Date: Mon, 29 Dec 1997 18:35:47 +0100 Received: from ella.mills.edu by ns (smtpxd); id XA27300 Received: (qmail 25182 invoked from network); 29 Dec 1997 09:35:43 -0800 Received: from localhost (HELO ella.mills.edu) (127.0.0.1) by localhost with SMTP; 29 Dec 1997 09:35:43 -0800 Message-Id: <19971229173645953.AAA249@ascend558.nni.com> Errors-To: madole@mills.edu Reply-To: tuning@eartha.mills.edu Originator: tuning@eartha.mills.edu Sender: tuning@eartha.mills.edu