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9-axis

🔗"Paul H. Erlich" <PErlich@...>

7/11/1997 1:51:23 AM
Dan Wolf wrote,

>> Graham Breed wrote:
>
> > ''I don't see
> > that we need a new dimension for 9.''
>
>> This depends entirely on how 9 is used. If - like Partch or Wilson, or in>
>> certain temperaments (the TX81Z resolution comes to mind) - 9 is used as >> a
>> distinctive harmonic entity, then it is useful to visualize 9 on its own
>> axis. If, on the other hand, 9 is only used in terms of 3^2, then by all
>> means let 9 share the 3 axis. >
>Also, if 9/5 and 9/7 are to be used as distinctive harmonic entities (i.e.,
>consonances), and not only arising from 3*3/5 and 3*3/7, then it is useful to
>include a 9-axis into the triangular lattice.

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