TUNING digest 640

>Date: Wed, 21 Feb 1996 13:50 +0100
>From: COUL@ezh.nl (Manuel Op de Coul)
>To: tuning
>Subject: All proper modes of ET
>Message-ID: <0099E3EC0A785B46.B7B1@ezh.nl>
>
>On Brian's request I have written a computer program for finding 5-,
>6-, 7-, 8-, and 9-note modes of equal temperaments with fifths less
>than 21 cents away from 3/2 and the fifth degree relatively prime to
>the number of notes.
>I have restricted the list to proper and strictly proper modes

I missed the original request made by Brian, but I am interested to know exactly why proper and
strictly proper modes ("A mode is called proper when all intervals of an interval class are not
smaller than those of lower interval classes. It is called strictly proper when all intervals of
an interval class are larger than the ones of lower classes" - Manuel Op de Coul) are considered
to have more validity, or be more interesting than modes which are not proper?

Is there a theoretical justification for this position?

Andy

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